Scientific Computing Group Reports -- All

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Title/Author(s)	ID	Length	Download
A simple weighted essentially nonoscillatory limiter for Runge-Kutta discontinuous Galerkin methods by X. Zhong and C.-W. Shu on Feb. 12, 2012	2012-3	33 pp.	ps.gz (4.7 MB) pdf (1.9 MB)
Sound generation in the interaction of two isentropic vortices by S. Zhang, H. Zhang and C.-W. Shu on Feb. 2, 2012	2012-2	15 pp.	ps.gz (18.2 MB) pdf (5.6 MB)
Discontinuous Galerkin method for hyperbolic equations involving δ-functions by Y. Yang and C.-W. Shu on Jan. 11, 2012	2012-1	32 pp.	ps.gz (3.6 MB) pdf (224.1 KB)
Superconvergence of discontinuous Galerkin method for scalar nonlinear conservation laws in one space dimension by X. Meng, C.-W. Shu, Q. Zhang, and B. Wu on Dec. 4, 2011	2011-34	20 pp.	ps.gz (2.9 MB) pdf (232.4 KB)
Numerical simulations with a first order BSSN formulation of Einstein’s field equations by J. D. Brown, P. Diener, S. E. Field, J. S. Hesthaven, F. Herrmann, A. H. Mroue, O. Sarbach, E. Schnetter, M. Tiglio and M. Wagman on Dec. 31, 2011	2011-33	18 pp.	ps.gz (2.6 MB) pdf (564.9 KB)
Efficient Absorbing Layers for Weakly Compressible Flows by Z. Gao, J.S. Hesthaven, T. Warburton on Dec. 31, 2011	2011-32	30 pp.	ps.gz (7.7 MB) pdf (2.6 MB)
On the use of ANOVA expansions in reduced basis methods for high-dimensional parametric partial differential equations by J. S. Hesthaven, S. Zhang on Dec. 31, 2011	2011-31	20 pp.	ps.gz (3.4 MB) pdf (1.1 MB)
Superconvergence of discontinuous Galerkin method for linear hyperbolic equations in one space dimension by Y. Yang and C.-W. Shu on Dec. 4, 2011	2011-30	18 pp.	ps.gz (2.6 MB) pdf (205.4 KB)
A priori error estimates for semi-discrete discontinuous Galerkin methods solving nonlinear Hamilton-Jacobi equations with smooth solutions by T. Xiong, C.-W. Shu and M. Zhang on Nov. 29, 2011	2011-29	33 pp.	ps (3.5 MB) pdf (233.8 KB)
Certified reduced basis method for electromagnetic scattering and radar cross section estimation by Y. Chen, J. S. Hesthaven, Y. Maday, J. Rodrıguez and X. Zhu on Nov. 19, 2011	2011-28	32 pp.	ps.gz (10.9 MB) pdf (4.5 MB)
High order well-balanced WENO scheme for the gas dynamics equations under gravitational fields by Y. Xing and C.-W. Shu on Nov. 12, 2011	2011-27	26 pp.	ps.gz (2.2 MB) pdf (539.6 KB)
WENO scheme with subcell resolution for computing nonconservative Euler equations with applications to one-dimensional compressible two-medium flows by T. Xiong, C.-W. Shu and M. Zhang on Nov. 12, 2011	2011-26	36 pp.	ps.gz (2.5 MB) pdf (466.9 KB)
Error estimates for the third order explicit Runge-Kutta discontinuous Galerkin method for linear hyperbolic equation in one-dimension with discontinuous initial data by Q. Zhang and C.-W. Shu on Nov. 3, 2011	2011-25	29 pp.	ps.gz (3.9 MB) pdf (280.4 KB)
Energy conserving local discontinuous Galerkin methods for wave propagation problems by Y. Xing, C.-S. Chou and C.-W. Shu on Oct. 28, 2011	2011-24	28 pp.	ps.gz (2.6 MB) pdf (319.9 KB)
Efficient greedy algorithms for successive constraints methods with high-dimensional parameters by S. Zhang on Oct. 4, 2011	2011-23	5 pp.	ps.gz (757.9 KB) pdf (247.7 KB)
Conforming and divergence free Stokes elements on general triangular meshes by J. Guzman and M. Neilan on Oct. 3, 2011	2011-22	17 pp.	pdf (375.2 KB)
Certified reduced basis methods for the electric field integral equation by J.S. Hesthaven, B. Stamm and S. Zhang on Sept. 15, 2011	2011-21	22 pp.	ps.gz (4.2 MB) pdf (1.1 MB)
Inverse Lax-Wendroff procedure for numerical boundary conditions of hyperbolic equations: survey and new developments by S. Tan and C.-W. Shu on Sept. 12, 2011	2011-20	20 pp.	ps.gz (3.4 MB) pdf (1.2 MB)
A minimum entropy principle of high order schemes for gas dynamics equations by X. Zhang and C.-W. Shu on July 18, 2011	2011-19	20 pp.	ps.gz (2.1 MB) pdf (207.8 KB)
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations by X. Zhang and C.-W. Shu on July 15, 2011	2011-18	26 pp.	ps.gz (6.7 MB) pdf (2.6 MB)
Efficient implementation of high order inverse Lax-Wendroff boundary treatment for conservation laws by S. Tan, C. Wang, C.-W. Shu and J. Ning on July 15, 2011	2011-17	34 pp.	ps.gz (8.5 MB) pdf (1.8 MB)
Maximum-principle-satisfying high order finite volume WENO schemes for convection-diffusion equations by X. Zhang, Y. Liu and C.-W. Shu on July 3, 2011	2011-16	45 pp.	ps.gz (7.7 MB) pdf (853.9 KB)
Efficient greedy algorithms for high-dimensional parameter spaces with applications to empirical interpolation and reduced basis methods by J. S. Hesthaven, B. Stamm, and S. Zhang on June 22, 2011	2011-15	23 pp.	ps.gz (3.1 MB) pdf (743.3 KB)
High order finite difference methods with subcell resolution for advection equations with stiff source terms by W. Wang, C.-W. Shu, H. C. Yee, and B. Sjogreen on June 16, 2011	2011-14	42 pp.	ps.gz (4.9 MB) pdf (1.8 MB)
High-Order Discontinuous Galerkin Methods by GPU Metaprogramming by A. Kloeckner, T. Warburton and J. S. Hesthaven on June 12, 2011	2011-13	22 pp.	pdf (416.2 KB)
Robust high order discontinuous Galerkin schemes for two-dimensional gaseous detonations by C. Wang, X. Zhang, C.-W. Shu and J. Ning on May 22, 2011	2011-12	26 pp.	ps.gz (8.1 MB) pdf (1.4 MB)
A family of non-conforming elements for the Brinkman Problem by J. Guzman and M. Neilan on May 3, 2011	2011-11	23 pp.	ps.gz (3.5 MB) pdf (226.1 KB)
A family of non-conforming elements and the analysis of Nitsche’s method for a singularly perturbed fourth order problem by J. Guzman, D. Leykekhman, M. Neilan on May 3, 2011	2011-10	23 pp.	ps.gz (3.2 MB) pdf (212.4 KB)
A reduced basis method for multiple electromagnetic scattering in three dimensions by M. Ganesh, J.S. Hesthaven, B. Stamm on May 3, 2011	2011-9	32 pp.	ps.gz (8.2 MB) pdf (4.8 MB)
Effect of Dust on Lyman-alpha Photon Transfer in Optically Thick Halo by Y. Yang, I. Roy, C.-W. Shu and L.-Z. Fang on April 30, 2011	2011-8	24 pp.	ps.gz (2.5 MB) pdf (175.9 KB)
Superconvergence of the local discontinuous Galerkin method for linear fourth order time dependent problems in one space dimension by X. Meng, C.-W. Shu and B. Wu on April 2, 2011	2011-7	37 pp.	ps.gz (3.5 MB) pdf (197.6 KB)
High-order finite volume WENO schemes for the shallow water equations with dry states by Y. Xing and C.-W. Shu on March 23, 2011	2011-6	36 pp.	ps.gz (3.4 MB) pdf (613.0 KB)
A conservative Lagrangian scheme for solving compressible fluid flows with multiple internal energy equations by J. Cheng, C.-W. Shu and Q. Zeng on March 16, 2011	2011-5	21 pp.	ps.gz (7.2 MB) pdf (4.5 MB)
Maximum-principle-satisfying and positivity-preserving high order schemes for conservation laws: Survey and new developments by X. Zhang and C.-W. Shu on March 9, 2011	2011-4	24 pp.	ps.gz (7.5 MB) pdf (1.1 MB)
Optimal error estimates of the semi-discrete local discontinuous Galerkin methods for high order wave equations by Y. Xu and C.-W. Shu on Jan. 27, 2011	2011-3	32 pp.	ps.gz (4.0 MB) pdf (230.1 KB)
Reduced basis catalogs for gravitational wave templates by S. E. Field, C. R. Galley, F. Herrmann, J. S. Hesthaven, E. Ochsner, and M. Tiglio on Jan. 19, 2011	2011-2	4 pp.	ps.gz (996.9 KB) pdf (299.7 KB)
Positivity preserving semi-Lagrangian discontinuous Galerkin formulation: theoretical analysis and application to the Vlasov-Poisson system by J.-M. Qiu and C.-W. Shu on Jan. 7, 2011	2011-1	49 pp.	ps.gz (17.9 MB) pdf (7.3 MB)
Numerical resolution of discontinuous Galerkin methods for time dependent wave equations by X. Zhong and C.-W. Shu on Dec. 9, 2010	2010-38	39 pp.	ps.gz (3.6 MB) pdf (240.8 KB)
A high order moving boundary treatment for compressible inviscid flows by S. Tan and C.-W. Shu on Dec. 9, 2010	2010-37	27 pp.	ps.gz (3.6 MB) pdf (1.2 MB)
A method for simulation of underwater acoustic wavefront propagation by S. L. Martinelli on Dec. 3, 2010	2010-36	36 pp.	ps.gz (6.0 MB) pdf (2.8 MB)
A Discontinuous Galerkin Scheme for Front Propagation with Obstacles by O. Bokanowski, Y. Cheng, and C.-W. Shu on Nov. 20, 2010	2010-35	26 pp.	ps.gz (3.7 MB) pdf (675.8 KB)
A Macroscopic Approach to the Lane Formation Phenomenon in Pedestrian Counter Flow by T. Xiong, P. Zhang, S.C. Wong, C.-W. Shu, M. Zhang on Oct. 23, 2010	2010-34	5 pp.	ps.gz (1.5 MB) pdf (258.4 KB)
Multi-Domain Fourier-Continuation/WENO Hybrid Solver for Conservation Laws by K. Shahbazi, N. Albin, O.P. Bruno, and J.S. Hesthaven on Oct. 17, 2010	2010-33	26 pp.	ps.gz (2.6 MB) pdf (529.2 KB)
High order positivity-preserving finite volume WENO schemes for a hierarchical size-structured population model by R. Zhang, M. Zhang and C.-W. Shu on Oct. 8, 2010	2010-32	21 pp.	ps.gz (2.5 MB) pdf (665.8 KB)
Improvement of convergence to steady state solutions of Euler equations with weighted compact nonlinear schemes by S. Zhang, X. Deng, M. Mao and C.-W. Shu on Sept. 29, 2010	2010-31	22 pp.	ps.gz (1.8 MB) pdf (249.2 KB)
A brief survey of the discontinuous Galerkin method for the Boltzmann-Poisson equations by Y. Cheng, I.M. Gamba, A. Majorana, and C.-W. Shu on Sept. 14, 2010	2010-30	21 pp.	ps.gz (2.0 MB) pdf (206.8 KB)
Point-wise Hierarchical Reconstruction for Discontinuous Galerkin and Finite Volume Methods for Solving Conservation Laws by Z. Xu, Y. Liu, H. Du, G. Lin and C.-W. Shu on Sept. 7, 2010	2010-29	33 pp.	ps.gz (7.9 MB) pdf (4.9 MB)
Discontinuous Galerkin methods for the Multi-dimensional Vlasov-Poisson problem by B. Ayuso de Dios, J. A. Carrillo, C.-W. Shu on Sept. 6, 2010	2010-28	40 pp.	ps.gz (6.1 MB) pdf (609.7 KB)
Positivity-preserving high order discontinuous Galerkin schemes for compressible Euler equations with source terms by X. Zhang and C.-W. Shu on Aug. 30, 2010	2010-27	22 pp.	pdf (619.6 KB) ps.gz (4.4 MB)
Discontinuous Galerkin method for the spherically reduced BSSN system with second-order operators by S.E. Field, J.S. Hesthaven, S.R. Lau, and A.H. Mroue on Aug. 11, 2010	2010-26	34 pp.	pdf (1.2 MB) ps.gz (5.1 MB)
Improvement of convergence to steady state solutions of Euler equations with the WENO schemes by S. Zhang, S. Jiang and C.-W. Shu on July 21, 2010	2010-25	30 pp.	pdf (456.4 KB) ps.gz (2.7 MB)
Viscous Shock Capturing in a Time-Explicit Discontinuous Galerkin Method by A. Klöckner, T. Warburton and J. S. Hesthaven on July 21, 2010	2010-24	42 pp.	pdf (3.6 MB) ps.gz (9.2 MB)
Pointwise error estimates of finite element approximations to the Stokes problem on convex polyhedra by J. Guzman and D. Leykekhman on July 19, 2010	2010-23	23 pp.	pdf (317.4 KB) ps.gz (3.3 MB)
Symmetric non-conforming mixed finite elements for linear elasticity by J. Gopalakrishnan and J. Guzman on July 19, 2010	2010-22	16 pp.	pdf (226.3 KB) ps.gz (2.4 MB)
Improvement on spherical symmetry in two-dimensional cylindrical coordinates for a class of control volume Lagrangian schemes by J. Cheng and C.-W. Shu on July 3, 2010	2010-21	32 pp.	pdf (1.7 MB) ps.gz (4.2 MB)
Bubble stabilized discontinuous Galerkin method on conforming and non-conforming meshes by E. Burman and B. Stamm on June 25, 2010	2010-20	18 pp.	pdf (354.9 KB) ps.gz (2.5 MB)
Discontinuous Galerkin Method for Fractional Diffusion Equations by W. Deng and J.S. Hesthaven on May 27, 2010	2010-19	23 pp.	pdf (275.4 KB) ps.gz (3.0 MB)
Maximum-principle-satisfying and positivity-preserving high order discontinuous Galerkin schemes for conservation laws on triangular meshes by X. Zhang, Y. Xia and C.-W. Shu on May 14, 2010	2010-18	47 pp.	pdf (7.7 MB) ps.gz (12.2 MB)
On ANOVA expansions and strategies for choosing the anchor point by Z. Gao and J. S. Hesthaven on April 29, 2010	2010-17	22 pp.	pdf (469.1 KB) ps.gz (2.3 MB)
Local discontinuous Galerkin methods for the Degasperis-Procesi equation by Y. Xu and C.-W. Shu on April 29, 2010	2010-16	37 pp.	pdf (587.0 KB) ps.gz (4.1 MB)
The reduced basis method for the electric field integral equation by B. Fares, J.S. Hesthaven, Y. Maday, and B. Stamm on April 21, 2010	2010-15	30 pp.	pdf (1.5 MB) ps.gz (8.6 MB)
A high order adaptive finite element method for solving nonlinear hyperbolic conservation laws by Z. Xu, J. Xu, and C.-W. Shu on April 21, 2010	2010-14	13 pp.	pdf (133.3 KB) ps.gz (1.4 MB)
Inverse Lax-Wendroff Procedure for Numerical Boundary Conditions of Conservation Laws by S. Tan and C.-W. Shu on April 7, 2010	2010-13	44 pp.	pdf (883.6 KB) ps.gz (4.8 MB)
High order finite difference WENO schemes for nonlinear degenerate parabolic equations by Y. Liu, C.-W. Shu and M. Zhang on April 7, 2010	2010-12	39 pp.	pdf (1.3 MB) ps.gz (6.8 MB)
High-porosity channels for melt migration in the mantle: Top is the dunite and bottom is the harzburgite by Y. Liang, A. Schiemenz, M. A. Hesse, E. M. Parmentier, and J. S. Hesthaven on March 24, 2010	2010-11	19 pp.	pdf (547.9 KB) ps.gz (3.7 MB)
Positivity preserving high order well balanced discontinuous Galerkin methods for the shallow water equations by Y. Xing, X. Zhang and C.-W. Shu on March 15, 2010	2010-10	37 pp.	pdf (807.0 KB) ps.gz (3.8 MB)
On positivity preserving high order discontinuous Galerkin schemes for compressible Euler equations on rectangular meshes by X. Zhang and C.-W. Shu on March 4, 2010	2010-9	32 pp.	pdf (2.4 MB) ps.gz (9.1 MB)
Conservative semi-Lagrangian finite difference WENO formulations with applications to the Vlasov equation by J.-M. Qiu and C.-W. Shu on Feb. 18, 2010	2010-8	28 pp.	pdf (2.3 MB) ps.gz (7.3 MB)
A cell-centered Lagrangian scheme with the preservation of symmetry and conservation properties for compressible fluid flows in two-dimensional cylindrical geometry by J. Cheng and C.-W. Shu on Feb. 9, 2010	2010-7	30 pp.	pdf (1.2 MB) ps.gz (3.8 MB)
On the advantage of well-balanced schemes for moving-water equilibria of the shallow water equations by Y. Xing, C.-W. Shu and S. Noelle on Feb. 5, 2010	2010-6	16 pp.	pdf (167.0 KB) ps.gz (1.3 MB)
Resonant scattering and Lyα radiation emergent from neutral Hydrogen halos by I. Roy, C.-W. Shu, and L.-Z. Fang on Jan. 31, 2010	2010-5	25 pp.	pdf (197.0 KB) ps.gz (2.4 MB)
Modeling magma dynamics with a mixed Fourier collocation - discontinuous Galerkin method by A.R. Schiemenz, M.A. Hesse, and J.S. Hesthaven on Jan. 30, 2010	2010-4	20 pp.	pdf (580.7 KB) ps.gz (3.3 MB)
Efficient solution of ordinary differential equations with high-dimensional parametrized uncertainty by Z. Gao and J. S. Hesthaven on Jan. 18, 2010	2010-3	33 pp.	pdf (505.9 KB) ps.gz (2.5 MB)
Persistent junk solutions in time-domain modeling of extreme mass ratio binaries by S. E. Field, J. S. Hesthaven, and S. R. Lau on Jan. 14, 2010	2010-2	23 pp.	pdf (579.6 KB) ps.gz (3.5 MB)
Error Analysis of the Semi-discrete Local Discontinuous Galerkin Method for Semiconductor Device Simulation Models by Y. Liu and C.-W. Shu on Jan. 5, 2010	2010-1	31 pp.	pdf (229.6 KB) ps.gz (3.2 MB)
An interface treating technique for compressible multi-medium flow with Runge-Kutta discontinuous Galerkin method by C. Wang and C.-W. Shu on Dec. 31, 2009	2009-49	33 pp.	pdf (1.4 MB) ps.gz (6.1 MB)
Adaptive sparse grid algorithms with applications to electromagnetic scattering under uncertainty by M. Liu, Z. Gao, and J.S. Hesthaven on Dec. 29, 2009	2009-48	26 pp.	pdf (891.0 KB) ps.gz (2.7 MB)
A Conservative Modification to the Ghost Fluid Method for Compressible Multiphase Flows by W. Liu, L. Yuan, and C.-W. Shu on Dec. 21, 2009	2009-47	20 pp.	pdf (1.0 MB) ps.gz (2.4 MB)
Central Local Discontinuous Galerkin Methods on Overlapping Cells for Diffusion Equations by Y. Liu, C.-W. Shu, E. Tadmor and M. Zhang on Dec. 20, 2009	2009-46	31 pp.	pdf (214.6 KB) ps.gz (2.8 MB)
A new family of mixed methods for the Reissner-Mindlin plate model based on a system of first-order equations by E.M. Behrens and J. Guzman on Dec. 18, 2009	2009-45	19 pp.	pdf (204.8 KB) ps.gz (2.7 MB)
Construction of Low Dissipative High-Order Well-Balanced Filter Schemes for Non-Equilibrium Flows by W. Wang, H.C. Yee, B. Sjogreen, T. Magin, and C.-W. Shu on Dec. 7, 2009	2009-44	33 pp.	pdf (2.5 MB) ps.gz (6.0 MB)
Conservative high order semi-Lagrangian finite difference WENO methods for advection in incompressible flow by J.-M. Qiu and C.-W. Shu on Nov. 30, 2009	2009-43	45 pp.	pdf (3.5 MB) ps.gz (10.6 MB)
On the order of accuracy and numerical performance of two classes of finite volume WENO schemes by R. Zhang, M. Zhang, and C.-W. Shu on Nov. 29, 2009	2009-42	19 pp.	pdf (2.4 MB) ps.gz (4.0 MB)
Discontinuous Galerkin Methods for the One-Dimensional Vlasov-Poisson System by B. Ayuso, J.A. Carillo, and C.-W. Shu on Nov. 27, 2009	2009-41	42 pp.	pdf (346.3 KB) ps.gz (5.9 MB)
PyCUDA: GPU Run-Time Code Generation for High-Performance Computing by A. Kloeckner, N. Pinto, Y. Lee, B. Catanzaro, P. Ivanov, and A. Fasih on Nov. 18, 2009	2009-40	19 pp.	pdf (1.2 MB) ps.gz (2.3 MB)
Deterministic numerical schemes for the Boltzmann equation by A. Narayan and A. Kloeckner on Nov. 18, 2009	2009-39	47 pp.	pdf (546.4 KB) ps.gz (7.0 MB)
The multiscale discontinuous Galerkin method for solving a class of second order elliptic problems with rough coefficients by W. Wang, J. Guzman, and C.-W. Shu on Oct. 29, 2009	2009-38	21 pp.	pdf (176.6 KB) ps.gz (2.4 MB)
A mixed method for the biharmonic problem based on a system of first-order equations by E.M. Behrens and J. Guzman on Oct. 27, 2009	2009-37	23 pp.	pdf (226.8 KB) ps.gz (3.5 MB)
On maximum-principle-satisfying high order schemes for scalar conservation laws by X. Zhang and C.-W. Shu on Oct. 27, 2009	2009-36	58 pp.	pdf (1.2 MB) ps.gz (6.5 MB)
A seamless reduced basis element method for 2D Maxwell's Problem: An Introduction by Y. Chen, J.S. Hesthaven, and Y. Maday on Oct. 19, 2009	2009-35	8 pp.	pdf (2.5 MB) ps.gz (3.9 MB)
Development and application of a multirate multistep AB method to a discontinuous Galerkin method based particle-in-cell scheme by A. Stock on Oct. 15, 2009	2009-34	155 pp.	ps.gz (1.7 MB) pdf (1.9 MB)
A generalization of the Wiener rational basis functions on infinite intervals. Part II - Numerical investigations by A.C. Narayan and J.S. Hesthaven on Oct. 15, 2009	2009-33	25 pp.	pdf (2.5 MB) ps.gz (4.4 MB)
Efficient numerical treatment of the compressible Navier-Stokes equations with nodal discontinuous Galerkin methods on graphics processors by H. Riedmann on Oct. 13, 2009	2009-32	98 pp.	pdf (4.3 MB) ps.gz (14.7 MB)
A discontinuous Galerkin solver for front propagation by O. Bokanowski, Y. Cheng, and C.-W. Shu on Sept. 23, 2009	2009-31	17 pp.	pdf (601.3 KB) ps.gz (2.4 MB)
A unified analysis of several mixed methods for elasticity with weak stress symmetry by J. Guzman on Sept. 17, 2009	2009-30	12 pp.	pdf (211.2 KB) ps.gz (1.9 MB)
A second elasticity element using the matrix bubble with tightened stress symmetry by J. Gopalakrishnan and J. Guzman on Sept. 17, 2009	2009-29	19 pp.	pdf (285.6 KB) ps.gz (2.9 MB)
Stability analysis and a priori error estimates to the third order explicit Runge-Kutta discontinuous Galerkin Method for scalar conservation laws by Q. Zhang and C.-W. Shu on Sept. 16, 2009	2009-28	33 pp.	pdf (273.1 KB) ps.gz (4.3 MB)
Uniformly accurate discontinuous Galerkin fast sweeping methods for Eikonal equations by Y.-T. Zhang, S. Chen, F. Li, H. Zhao, and C.-W. Shu on Sept. 6, 2009	2009-27	26 pp.	pdf (214.1 KB) ps.gz (2.3 MB)
High order computational scheme for a dynamic continuum model for bi-directional flow by T. Xiong, M. Zhang, C.-W. Shu, S.C. Wong, and P. Zhang on Aug. 24, 2009	2009-26	23 pp.	pdf (2.7 MB) ps.gz (4.0 MB)
Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws by Y. Liu, C.-W. Shu and Z. Xu on Aug. 1, 2009	2009-25	13 pp.	pdf (340.8 KB) ps.gz (1.7 MB)
A genuinely high order total variation diminishing scheme for one-dimensional scalar conservation laws by X. Zhang and C.-W. Shu on July 9, 2009	2009-24	43 pp.	pdf (799.1 KB) ps.gz (4.4 MB)
A natural norm successive constraint method for inf-sub lower bounds by D.B.P. Huynh, D.J. Knezevic, Y. Chen, J.S. Hesthaven and A.T. Patera on June 5, 2009	2009-23	30 pp.	pdf (2.6 MB) ps.gz (4.9 MB)
A generalization of the Wiener rational basis functions on infinite intervals. Part I - Derivation and properties by A.C. Narayan and J.S. Hesthaven on May 28, 2009	2009-22	39 pp.	pdf (717.2 KB) ps.gz (5.4 MB)
High Order Conservative Lagrangian Schemes with Lax-Wendroﬀ Type Time Discretization for the Compressible Euler Equations by W. Liu, J. Cheng and C.-W. Shu on May 21, 2009	2009-21	31 pp.	pdf (1.4 MB) ps.gz (4.7 MB)
Fifth order fast sweeping WENO scheme for static Hamilton-Jacobi equations with accurate boundary treatment by T. Xiong, M. Zhang, Y.-T. Zhangand C.-W. Shu on May 8, 2009	2009-20	23 pp.	pdf (4.2 MB) ps.gz (6.8 MB)
Dynamic continuum pedestrian flow model with memory effect by Y. Xia, S.C. Wong, and C.-W. Shu on April 30, 2009	2009-19	20 pp.	pdf (734.8 KB) ps.gz (2.2 MB)
Wouthuysen-Field Coupling in 21 cm Region Around High Redshift Sources by I. Roy, W. Xu, J.-M. Qiu, C.-W. Shu, and L.-Z. Fang on April 28, 2009	2009-18	23 pp.	pdf (381.9 KB) ps.gz (2.5 MB)
A posteriori estimates for the bubble stabilized discontinuous Galerkin method by B Stamm on March 26, 2009	2009-17	20 pp.	pdf (204.5 KB) ps.gz (2.2 MB)
Bubble stabilized discontinuous Galerkin method for Stokes' problem by E. Burman and B. Stamm on March 18, 2009	2009-16	15 pp.	pdf (260.5 KB) ps.gz (2.4 MB)
On the positivity of linear weights in WENO approximations by Y. Liu, C.-W. Shu and M. Zhang on March 15, 2009	2009-15	56 pp.	pdf (336.9 KB) ps.gz (4.6 MB)
Certified reduced basis methods and output bounds for the harmonic Maxwell's equations by Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez on March 12, 2009	2009-14	31 pp.	pdf (2.4 MB) ps.gz (6.4 MB)
High-order accurate thin layer approximations for time-domain electromagnetics. Part II: Transmission layers by S. Chun, H. Haddar, and J.S. Hesthaven on March 12, 2009	2009-13	40 pp.	pdf (662.8 KB) ps.gz (5.4 MB)
Optimal convergence of the original DG method in special meshes for variable velocity by B. Cockburn, B. Dong, J. Guzmán and J. Qian on March 2, 2009	2009-10	11 pp.	pdf (322.4 KB) ps.gz (2.1 MB)
Local energy estimates for the finite element method on sharply varying grids by A. Demlow, J. Guzmán, and A.H. Schatz on March 2, 2009	2009-9	8 pp.	pdf (179.4 KB) ps.gz (1.2 MB)
Dissipative numerical methods for the Hunter-Saxton equation by Y. Xu and C.-W. Shu on Feb. 25, 2009	2009-8	23 pp.	pdf (162.2 KB) ps.gz (2.1 MB)
Topological structure of shock induced vortex breakdown by S. Zhang, H. Zhang, and C.-W. Shu on Feb. 18, 2009	2009-7	39 pp.	pdf (21.8 MB) ps.gz (26.0 MB)
High-order well-balanced schemes and applications to non-equilibrium flow with stiff source terms by W. Wang, C.-W. Shu, H.C. Yee, and B. Sjogreen on Feb. 15, 2009	2009-6	31 pp.	pdf (909.4 KB) ps.gz (3.7 MB)
Local discontinuous Galerkin methods for the generalized Zhakarov system by Y. Xia, Y. Xu, and C.-W. Shu on Feb. 11, 2009	2009-5	38 pp.	pdf (23.9 MB)
Discontinuous Galerkin method for computing gravitational waveforms for extreme mass ratio binaries by S.E. Field, J.S. Hesthaven, and S.R. Lau on Feb. 8, 2009	2009-4	26 pp.	pdf (709.9 KB) ps.gz (3.8 MB)
High-order schemes for CFD: A review by J. Cheng and C.-W. Shu on Feb. 6, 2009	2009-3	50 pp.	pdf (216.4 KB) ps.gz (2.5 MB)
Local discontinuous Galerkin methods for high-order time-dependent partial differential equations by Y. Xu and C.-W. Shu on Feb. 1, 2009	2009-2	57 pp.	pdf (15.8 MB) ps.gz (23.1 MB)
Superconvergence of discontinuous Galerkin and local discontinuous Galerkin schemes for linear hyperbolic and convection diffusion equations in one space dimension by Y Cheng and C.-W. Shu on Jan. 27, 2009	2009-1	36 pp.	pdf (188.8 KB) ps.gz (3.4 MB)
A discontinuous Galerkin solver for Boltzmann Poisson systems in nano devices by Y. Cheng, I.M. Gamba, A. Majorana, and C.-W. Shu on Dec. 26, 2008	2008-28	51 pp.	pdf (2.1 MB) ps.gz (8.5 MB)
Nodal Discontinuous Galerkin Methods on Graphics Processors by A. Kloeckner, T. Warburton, J. Bridge, and J.S. Hesthaven on Dec. 18, 2008	2008-27	33 pp.	ps.gz (1.0 MB) pdf (879.9 KB)
Hierarchical reconstruction for spectral volume method on unstructured grids by Z. Xu, Y. Liu, and C.-W. Shu on Dec. 4, 2008	2008-26	22 pp.	pdf (435.6 KB) ps.gz (2.1 MB)
Time evolution of Wouthuysen-Field coupling by I. Roy, W. Xu, J.-M. Qiu , C.-W. Shu, and L.-Z. Fang on Jan. 1, 2008	2008-25	21 pp.	pdf (570.1 KB) ps.gz (502.8 KB)
Fourier analysis for discontinuous Galerkin and related methods by M. Zhang and C.-W. Shu on Jan. 1, 2008	2008-24	18 pp.	pdf (178.5 KB) ps.gz (126.4 KB)
The application of the Fast Fourier Transform to Jacobi polynomial expansions by A. C. Narayan and J.S. Hesthaven on Oct. 1, 2008	2008-23	20 pp.	pdf (346.1 KB) ps.gz (2.7 MB)
High-order well-balanced schemes by S. Noelle, Y. Xing, and C.-W. Shu on Jan. 1, 2008	2008-22	67 pp.	pdf (4.5 MB) ps.gz (14.6 MB)
Analysis of a local discontinuous Galerkin method for fourth-order time-dependent problems by B. Dong and C.-W. Shu on Jan. 1, 2008	2008-21	28 pp.	pdf (396.3 KB) ps.gz (239.5 KB)
A Fast Stroud-based Collocation Method for Statiscally Characterizing EMI/EMC Phenomena on Complex Platforms by A.C. Yucel, H. Bagci, J.S. Hesthaven, and E. Michielssen on Jan. 1, 2008	2008-20	27 pp.	pdf (3.3 MB) ps.gz (4.4 MB)
A WENO algorithm for radiative transfer with resonant scattering: the time scale of the Wouthuysen-Field Coupling by I Roy, J.-M. Qiu, C.-W. Shu, and L.-Z. Fang on Jan. 1, 2008	2008-19	18 pp.	pdf (324.7 KB) ps.gz (292.4 KB)
Implicit-explicit time integration of a high-order particle-in-cell method with hyperbolic divergence cleaning by G.B. Jacobs and J.S. Hesthaven on Jan. 1, 2008	2008-18	19 pp.	pdf (286.6 KB) ps.gz (1.7 MB)
IMEX evolution of scalar fields on curved backgrounds by S.R. Lau, H.P. Pfeiffer, and J.S. Hesthaven on Jan. 1, 2008	2008-17	29 pp.	pdf (415.5 KB) ps.gz (2.9 MB)
Improved successive constraint method based a posteriori error estimate for reduced basis approximation of 2D Maxwell's problem by Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez on Jan. 1, 2008	2008-16	19 pp.	pdf (7.1 MB) ps.gz (10.2 MB)
Local discontinuous Galerkin method for surface diﬀusion and Willmore ﬂow of graphs by Y. Xu and C.-W. Shu on Jan. 1, 2008	2008-15	22 pp.	pdf (1.1 MB) ps.gz (3.1 MB)
Revisiting and extending interface penalties for multi-domain summation-by-parts operators by M.H. Carpenter, J. Nordstrom, and D. Gottlieb on Jan. 1, 2008	2008-14	51 pp.	pdf (854.7 KB) ps.gz (6.9 MB)
Galerkin method for wave equations with uncertain coefficients by D Gottlieb and D Xiu on Jan. 1, 2008	2008-13	17 pp.
Modiﬁed Optimal Prediction and its Application to a Particle-Method Problem by A Chertock, D Gottlieb and A Solonomoff on Jan. 1, 2008	2008-12	15 pp.	pdf (340.3 KB) ps.gz (1.8 MB)
High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings by S. Chun and J. S. Hesthaven on Jan. 1, 2008	2008-11	21 pp.	pdf (417.6 KB) ps.gz (2.2 MB)
Superconvergence of Local Discontinuous Galerkin Methods for Convection-Diﬀusion Equations by Y. Cheng and C.-W. Shu on Jan. 1, 2008	2008-10	48 pp.	pdf (280.8 KB) ps.gz (153.3 KB)
High Order Strong Stability Preserving Time Discretizations by S. Gottlieb, D.I. Ketcheson, and C.-W. Shu on Jan. 1, 2008	2008-9	47 pp.	pdf (284.4 KB) ps.gz (4.1 MB)
Discontinuous Galerkin Methods: General Approach and Stability by C.-W. Shu on Jan. 1, 2008	2008-8	44 pp.	pdf (925.1 KB) ps.gz (558.5 KB)
Numerical Boundary Conditions for the Fast Sweeping High-Order WENO Methods for Solving the Eikonal Equation by L. Huang, C.-W. Shu and M. Zhang on Jan. 1, 2008	2008-7	11 pp.	pdf (165.5 KB) ps,gz (146.8 KB)
The WKB local discontinuous Galerkin method for the simulation of Schrodinger equation in a resonant tunneling diode by W. Wang and C.-W. Shu on Jan. 1, 2008	2008-6	21 pp.	pdf (346.3 KB) ps.gz (260.7 KB)
A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations by J. Cheng adn C.-W. Shu on Jan. 1, 2008	2008-5	20 pp.	pdf (1.2 MB) ps.gz (1.1 MB)
Polymorphic Nodal Elements and their Application in Discontinuous Galerkin Methods by G.J. Gassner, F. Lörcher, C.-D. Munz and J.S. Hesthaven on Jan. 1, 2008	2008-4	32 pp.	pdf (9.6 MB) ps.gz (17.2 MB)
Local discontinuous Galerkin method for the Hunter-Saxton equation and its zero-viscosity and zero-dispersion limit by Y. Xu and C.-W. Shu on Jan. 1, 2008	2008-3	24 pp.	pdf (331.8 KB) ps.gz (273.8 KB)
Front tracking algorithm for the Lighthill-Whitham-Richards traffic flow model with a piecewise quadratic, continuous, non-smooth, and non-concave fundamental diagram by W. Chen, S.C. Wong, C.-W. Shu adn P. Zhang on Jan. 1, 2008	2008-2	55 pp.	pdf (297.6 KB) ps.gz (3.4 MB)
Hierarchial Reconstruction for Discontinuous Galerkin Methods on Unstructured Grids with a WENO Type Linear Reconstruction by Z. Xu, Y. Liu, and C.-W. Shu on Jan. 11, 2008	2008-1	22 pp.	pdf (791.9 KB) ps.gz (466.4 KB)
Development of Nonlinear Weighted Compact Schemes with Increasingly Higher Order Accuracy by S Zhang, S Jiang and C-W Shu on Jan. 1, 2007	2007-22	42 pp.	pdf (21.1 MB) ps.gz (3.0 MB)
Superconvergence and Time Evolution of Discontinuous Galerkin Finite Element Solutions by Y. Cheng and C.-W. Shu on Jan. 1, 2007	2007-21	26 pp.	pdf (204.8 KB) ps.gz (127.2 KB)
On Partial Spherical Means Formulas and Radiation Boundary Conditions for the 3+1 Wave Equation by S Lau on Jan. 1, 2007	2007-20	31 pp.	pdf (300.6 KB) ps.gz (4.4 MB)
Runge−Kutta discontinuous Galerkin method using WENO limiters II: unstructured meshes by J. Zhu, J. Qiu, C.-W. Shu, and M. Dumbser on Jan. 1, 2007	2007-19	34 pp.	pdf (7.9 MB) ps.gz (6.3 MB)
An efficient discontinuous Galerkin method on triangular meshes for a pedestrian flow model by Y. Xia, S.C. Wong, M. Zhang, C.-W. Shu, and W. H.K. Lam on Jan. 1, 2007	2007-18	20 pp.	pdf (1.7 MB) ps.gz (1.7 MB)
Development of Residual Distribution Schemes for Discontinuous Galerkin Method: The Scalar Case with Linear Elements by R Abgrall and C.-W. Shu on Jan. 1, 2007	2007-17	17 pp.	pdf (423.2 KB) ps.gz (2.6 MB)
Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hillard System by Y. Xia, Y. Xu, and C.-W. Shu on Jan. 1, 2007	2007-16	17 pp.	pdf (1.5 MB) ps.gz (1.2 MB)
Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes by Y.-T. Zhang and C.-W. Shu on Jan. 1, 2007	2007-15	16 pp.	pdf (4.4 MB) ps.gz (2.3 MB)
The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids by W. Wang, X. Li, and C.-W. Shu on Jan. 1, 2007	2007-14	41 pp.	pdf (2.1 MB) ps.gz (6.1 MB)
A Second Order Discontinuous Galerkin Fast Sweeping Method for Eikonal Equations by F.Li, C.-W. Shu, Y.-T. Zhang and H. Zhao on Jan. 1, 2007	2007-13	35 pp.	pdf (2.2 MB) ps.gz (1.2 MB)
A High-Order ENO Conservative Lagrangian Scheme for the Compressible Euler Equations by J. Cheng and C.-W. Shu on Jan. 1, 2007	2007-12	49 pp.	pdf (1.9 MB) ps.gz (1.8 MB)
Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations by T Hagstrom and S Lau on Jan. 1, 2007	2007-11	33 pp.	pdf (308.1 KB) ps.gz (3.8 MB)
Strong Stability Preserving Property of the Deferred Correction Time Discretization by Y. Liu, C.-W. Shu, and M. Zhang on Jan. 1, 2007	2007-10	28 pp.	ps.gz (228.7 KB) pdf (526.6 KB)
The Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Discontinuous Flow-Density Relationship by Y. Lu, S.C. Wong, M. Zhang, and C.-W. Shu on Jan. 1, 2007	2007-9	42 pp.	pdf (1016.2 KB) ps.gz (1.6 MB)
A High Order WENO Scheme for a Hierarchical Size-Structured Model by J. Shen, C.-W. Shu and M. Zhang on Jan. 1, 2007	2007-8	17 pp.	pdf (1.0 MB) ps.gz (215.6 KB)
L2 Stability Analysis of the Central Discontinuous Galerkin Method and a Comparison between the Central and Regular Discontinuous Galerkin Methods by Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang on Jan. 1, 2007	2007-7	23 pp.	pdf (154.6 KB) ps.gz (2.0 MB)
Convergence of High Order Finite Volume Weighted Essentially Nonoscillatory Schemes and Discontinuous Galerkin Methods for Nonconvex Conservation Laws by J.-M. Qiu and C.-W. Shu on Jan. 1, 2007	2007-6	40 pp.	pdf (950.7 KB) ps.gz (1.0 MB)
Discontinuous Galerkin Method for a Class of Elliptic Multi-Scale Problems by L. Yuan and C.-W. Shu on Jan. 1, 2007	2007-5	14 pp.	pdf (338.2 KB) ps.gz (2.5 MB)
Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations by Y. Xia, Y. Xu, and C.-W. Shu on Jan. 1, 2007	2007-4	28 pp.	ps.gz (3.7 MB) pdf (4.8 MB)
A Local Discontinuous Galerkin Method for the Camassa-Holm Equation by Y. Xu and C.-W. Shu on Jan. 1, 2007	2007-3	28 pp.	pdf (887.4 KB) ps.gz (476.5 KB)
Post-Processing for the Discontinuous Galerkin Method over Non-Uniform Meshes by S. Curtis, R.M Kirby, J.K. Ryan, C.-W. Shu on Jan. 1, 2007	2007-2	29 pp.	pdf (610.6 KB) ps.gz (348.7 KB)
Multidomain Spectral Method for the Helically Reduced Wave Equation by S. R. Lau and R.H. Price on Jan. 1, 2007	2007-1	52 pp.	pdf (1.2 MB) ps.gz (6.4 MB)
High Order Weigthed Essentially Non-Oscillatory Schemes for Convection Dominated Problems by C.-W. Shu on Jan. 1, 2006	2006-21	80 pp.	pdf (8.0 MB) ps.gz (7.3 MB)
High Order Well-Balanced Finite Volume WENO Schemes for Shallow Water Equation with Moving Water by S. Noelle, Y. Xing, and C.-W. Shu on Jan. 1, 2006	2006-20	50 pp.	pdf (5.4 MB) ps.gz (2.1 MB)
Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes by Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang on Jan. 1, 2006	2006-19	25 pp.	pdf (3.3 MB) ps.gz (3.4 MB)
A Discontinuous Galerkin Finite Element Method for Time Dependent Partial Differential Equations with Higher Order Derivatives by Y. Cheng and C.-W. Shu on Jan. 1, 2006	2006-18	44 pp.	ps.gz (125.9 KB) pdf (752.4 KB)
Efficient Time-Discretization for Local Discontinuous Galerkin Methods by Y. Xia, Y. Xu, and C.-W. Shu on Jan. 1, 2006	2006-17	20 pp.	ps.gz (1.6 MB) pdf (409.6 KB)
Central Discontinuous Galerkin Methods on Overlapping Cells With a Non-Oscillatory Hierarchical Reconstruction by Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang on Jan. 1, 2006	2006-16	24 pp.	ps.gz (729.5 KB) pdf (1.5 MB)
Pade-Gegenbauer Suppression of Runge Phenomenon in the Diagonal Limit of Gegenbauer Approximations by L. Lurati on Jan. 1, 2006	2006-15	11 pp.	ps.gz (192.5 KB) pdf (162.8 KB)
An Improved Weigthed Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws by R. Borges, B. Costa, and W.S. Don on Jan. 1, 2006	2006-14	15 pp.	ps.gz (664.0 KB) pdf (457.0 KB)
A Reactive Dynamic User Equilibrium Model for Pedestrian Flows: A Continuum Modeling Approach by L. Huang, S.C. Wong, M. Zhang, C.-W. Shu, and W.H.K. Lam on Jan. 1, 2006	2006-13	26 pp.	ps.gz (832.0 KB) pdf (1.4 MB)
21 cm Emisson from Ionized Clouds of UV Sources in the Reionization Epoch by L.-L. Feng, J.-M. Qiu, C.-W. Shu, and L.-Z. Fang on Jan. 1, 2006	2006-12	26 pp.	ps.gz (842.0 KB) pdf (1022.4 KB)
Explicit Construction of Entropy Solutions for the Lighthill-Whitham-Richards Traffic Flow Model with a Non-Smooth Flow-Density Relationship by Y. Li, S.C. Wong, M. Zhang, C.-W. Shu, and W. Chen on Jan. 1, 2006	2006-11	43 pp.	ps.gz (1.0 MB) pdf (481.5 KB)
High Order Residual Distribution Conservative Finite Difference WENO Schemes for Convection-Diffusion Steady State Problems on Non-smooth Meshes by C.-S. Chou and C.-W. Shu on Jan. 1, 2006	2006-10	43 pp.	ps.gz (793.4 KB) pdf (1.3 MB)
A Discontinuous Galerkin Finite Element Method for Directly Solving the Hamilton-Jacobi Equations by Y. Cheng and C.-W. Shu on Jan. 1, 2006	2006-9	26 pp.	ps.gz (177.6 KB) pdf (385.7 KB)
Interaction of a Shock Wave with an Oblique Vortex Pair: Shock Dynamics and Mechanism of Sound Generation by S. Zhang, Y.-T. Zhang, and C.-W. Shu on Jan. 1, 2006	2006-8	39 pp.	ps.gz (15.3 MB) pdf (12.1 MB)
Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps by J. Qiu and C.-W. Shu on Jan. 1, 2006	2006-7	30 pp.	ps.gz (161.7 KB) pdf (231.9 KB)
Convergence towards Steady State Solutions of the Euler Equations with WENO Schemes by S. Zhang and C.-W. Shu on Jan. 1, 2006	2006-6	49 pp.	ps.gz (1.1 MB) pdf (1.5 MB)
Multi-Domain Hybrid Spectral-WENO Methods for Hyperbolic Conservation Laws by B. Costa and W.S. Don on Jan. 1, 2006	2006-5	33 pp.	ps.gz (929.7 KB) pdf (795.7 KB)
Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant by Z. Xu and C.-W. Shu on Jan. 1, 2006	2006-4	17 pp.	ps.gz (3.4 MB) pdf (2.6 MB)
High Order Hybrid Central-WENO Finite Difference Scheme for Conservation Laws by B. Costa and W.S. Don on Jan. 1, 2006	2006-3	14 pp.	ps.gz (1.2 MB) pdf (236.7 KB)
Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws by B. Costa, W.S. Don, D. Gottlieb, and R. Sendersky on Jan. 1, 2006	2006-2	31 pp.	ps.gz (2.2 MB) pdf (4.8 MB)
A WENO Algorithm for the Radiative Transfer and Ionized Sphere at Reionization by J. Qiu, C.-W. Shu, L.-L. Feng, and L.-Z. Fang on Jan. 1, 2006	2006-1	20 pp.	ps.gz (285.2 KB) pdf (330.2 KB)
Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations by X. Wan and G.E. Karniadakis on Jan. 1, 2005	2005-33	25 pp.	ps.gz (2.1 MB) pdf (1.6 MB)
Error Estimates of the Semi-Discrete Local Discontinuous Galerkin Method for Nonlinear Convection-Diffusion and KdV Equations by Y. Xu and C.-W. Shu on Jan. 1, 2005	2005-32	42 pp.	ps.gz (143.0 KB) pdf (346.5 KB)
A High Order Accurate Conservative Remapping Method on Staggered Meshes by J. Cheng and C.-W. Shu on Jan. 1, 2005	2005-31	22 pp.	ps.gz (709.3 KB) pdf (1.0 MB)
Discontinuous Galerkin Method Based on Non-Polynomial Approximation by L. Yuan and C.-W. Shu on Jan. 1, 2005	2005-30	53 pp.	ps.gz (180.3 KB) pdf (425.4 KB)
A Local-Structure Preserving Local Discontinuous Galerkin Method for the Laplace Equation by F. Li and C.-W. Shu on Jan. 1, 2005	2005-29	23 pp.	ps.gz (88.3 KB) pdf (250.2 KB)
Local Discontinuous Galerkin Methods for Moment Models in Device Simulations: Performance Assessment and Two-Dimensional Results by Y. Liu and C.-W. Shu on Jan. 1, 2005	2005-28	28 pp.	ps.gz (391.3 KB) pdf (865.9 KB)
A Domain Decomposition Method for Kinetic-Hydrodynamic Multiscale Problems in Gas Dynamics and Device Simulations Using the Discontinuous Galerkin Methods by S. Chen, W.E., Y. Liu, and C.-W. Shu on Jan. 1, 2005	2005-27	29 pp.	ps.gz (178.7 KB) pdf (351.9 KB)
High Resolution Schemes for a Hierarchical Size-Structured Model by J. Shen, C.-W. Shu, and M. Zhang on Jan. 1, 2005	2005-26	30 pp.	ps.gz (299.8 KB) pdf (873.5 KB)
Reduced Navier-Stokes Equations Near a Flow Boundary by M.S. Kilic, G.B. Jacobs, J.S. Hesthaven, and G. Haller on Jan. 1, 2005	2005-25	30 pp.	ps.gz (1024.0 KB) pdf (612.3 KB)
A New Approach of High Order Well-Balance Finite Volume WENO Schemes and DIscontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms by Y. Xing and C.-W. Shu on Jan. 1, 2005	2005-24	44 pp.	ps.gz (1.3 MB) pdf (1.3 MB)
High Order Residual Distribution Conservative Finite Difference WENO Schemes for Steady State Problems on Non-Smooth Meshes by C.-C. Chou, and C.-W. Shu on Jan. 1, 2005	2005-23	43 pp.	ps.gz (380.7 KB) pdf (746.2 KB)
Low-Redshift Cosmic Baryon Fluid on Large Scales: A Fully Developed Turbulence by P. He, L.-L. Feng, C.-W. Shu, and L.-Z. Fang on Jan. 1, 2005	2005-22	4 pp.	ps.gz (250.9 KB) pdf (1.0 MB)
Demonstrating Shock Mitigation and Drag Reduced by Pulsed Energy Lines with Multi-Domain WENO by K. Kremeyer, K. Sebastian, and C.-W. Shu on Jan. 1, 2005	2005-21	33 pp.	ps.gz (2.2 MB) pdf (3.0 MB)
Effects of Shock Waves on Rayleigh-Taylor Instabilities by Y.-T. Zhang, C.-W. Shu, and Y. Zhou on Jan. 1, 2005	2005-20	15 pp.	ps.gz (4.2 MB) pdf (4.7 MB)
2D Semiconductor Device Simulations by WENO-Boltzmann Schemes: Efficiency, Boundary Conditions, and Comparison to Monte Carlo Methods by J.A. Carillo, I.M. Gamba, A. Majorana, and C.-W. Shu on Jan. 1, 2005	2005-19	42 pp.	ps.gz (593.4 KB) pdf (2.6 MB)
A Weighted Essentially Non-Oscillatory Numerical Scheme for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway by S. Abarbanel, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2005	2005-18	20 pp.	ps.gz (1.6 MB) pdf (1.7 MB)
Gappy Data: To Krig or Not To Krig by H. Gunes, S. Sirisup, and G.E. Karniadakis on Jan. 1, 2005	2005-17	30 pp.	ps.gz (5.4 MB) pdf (5.4 MB)
A Numerical Study of the Performance ofthe Runge-Kutta Discontinuous Galerkin Method Based on Different Numerical Fluxes by J. Qiu, B.C. Khoo, and C.-W. Shu on Jan. 1, 2005	2005-16	34 pp.	ps.gz (983.3 KB) pdf (1.4 MB)
Anti-Diffusive High-Order WENO Schemes for Hamilton-Jacobi Equations by Z. Xu and C.-W. Shu on Jan. 1, 2005	2005-15	29 pp.	ps.gz (819.9 KB) pdf (1.6 MB)
The Next Step in Coastal Numerical Models: Spectral/hp Element Methods by C. Eskilsson, A.P. Engsig-Karup, S.J. Sherwin, J.S. Hesthaven, and L. Bergdahl on Jan. 1, 2005	2005-14	10 pp.	ps.gz (422.5 KB) pdf (454.6 KB)
Non-Linear PML Equations for Time-Dependent Electromagnetics in Three Dimensions by S. Abarbanel, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2005	2005-13	13 pp.	ps.gz (52.2 KB) pdf (143.2 KB)
Time-Consisten Filtering in Spectral and Spectral Element Methods by A. Kanevksy, M.H. Carpenter, and J.S. Hesthaven on Jan. 1, 2005	2005-12	30 pp.	ps.gz (119.5 KB) pdf (334.5 KB)
Pade-Jacobi Approximants by J.S. Hesthaven and S.M. Kaber on Jan. 1, 2005	2005-11	20 pp.	ps.gz (118.6 KB) pdf (340.8 KB)
Pade-Legendre Interpolants for Gibbs Reconstruction by J.S. Hesthaven, S.M. Kaber, and L. Lurati on Jan. 1, 2005	2005-10	18 pp.	ps.gz (204.1 KB) pdf (479.3 KB)
A Survey of Parallel Mesh Generation Methods by N. Chrisochoides on Jan. 1, 2005	2005-9	37 pp.	ps.gz (458.5 KB) pdf (970.9 KB)
High-Order Well-balanced Finite Volume WENO and Discontinuous Galerkin Methods for a Class of Hyperbolic Systems with Source Terms by Y. Xing and C.-W. Shu on Jan. 1, 2005	2005-8	50 pp.	ps.gz (1.3 MB) pdf (1.3 MB)
An Adaptive Multi-Element Generalized Polynomial Chaos Method for Stochastic Differential Equations by X. Wan and G.E. Karniadakis on Jan. 1, 2005	2005-7	31 pp.	ps.gz (782.8 KB) pdf (723.3 KB)
A Discontinuous Galerkin Method for Two-Temperature Plasmas by G. Lin and G.E. Karniadakis on Jan. 1, 2005	2005-6	36 pp.	ps.gz (8.9 MB) pdf (8.9 MB)
Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation by X. Wan, D. Xiu, and G.E. Karniadakis on Jan. 1, 2005	2005-5	13 pp.	ps.gz (228.1 KB) pdf (197.0 KB)
Adaptive Generalize Polynomial Chaos for Nonlinear Random Oscillations by D. Lucor and G.E. Karniadakis on Jan. 1, 2005	2005-4	16 pp.	ps.gz (684.4 KB) pdf (674.0 KB)
The Interaction of a Shock and a Strong Vortex: Shock and Vortex Deformation and Vorticity and Sound Generation by S. Zhang, Y.-T. Zhang, and C.-W. Shu on Jan. 1, 2005	2005-3	37 pp.	ps.gz (31.1 MB) pdf (31.0 MB)
A New Method to Impose No-Slip Boundary Conditions in Dissipative Particle Dynamics by I.V. Pivkin and G.E. Karniadakis on Jan. 1, 2005	2005-2	18 pp.	ps.gz (435.2 KB) pdf (392.2 KB)
Equation-free/Galerkin-free POD-Assisted Computation of Incompressible Flows by S. Sirisup, D. Xiu, G.E. Karniadakis, and I.G. Kevrekidis on Jan. 1, 2005	2005-1	25 pp.	ps.gz (1.5 MB) pdf (1.5 MB)
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods for Symmetrizable Systems of Conservation Laws by Q. Zhang and C.-W. Shu on Jan. 1, 2004	2004-19	18 pp.	ps.gz (115.1 KB) pdf (322.2 KB)
High-Order Well-Balanced Finite Difference WENO Schemes for a Class of Hyperbolic Systems With Source Terms by Y. Xing and C.-W. Shu on Jan. 1, 2004	2004-18	21 pp.	ps.gz (110.3 KB) pdf (250.9 KB)
Anti-Diffusive Flux Correction for High-Order Finite Difference WENO Schemes by Z. Xu and C.-W. Shu on Jan. 1, 2004	2004-17	41 pp.	ps.gz (2.7 MB) pdf (4.4 MB)
Local Discontinuous Galerkin Methods for Two Classes of Two-Dimensional Nonlinear Wave Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004	2004-16	40 pp.	ps.gz (7.8 MB) pdf (18.9 MB)
The Stochastic Piston Problem by G. Lin, C.-H. Su, and G.E. Karniadakis on Jan. 1, 2004	2004-15	10 pp.	ps.gz (1.3 MB) pdf (1.3 MB)
Hermite WENO Schemes For Hamilton-Jacobi Equations by J. Qiu and C.-W. Shu on Jan. 1, 2004	2004-14	31 pp.	ps.gz (735.1 KB) pdf (1.9 MB)
A Comparison of Troubled Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using WENO Limiters by J. Qiu and C.-W. Shu on Jan. 1, 2004	2004-13	31 pp.	ps.gz (1.4 MB) pdf (2.2 MB)
Analysis of Preconditioning and Relaxation Operators for the Discontinuous Galerkin Method Applied to Diffusion by H. Atkins and C.-W. Shu on Jan. 1, 2004	2004-12	36 pp.	ps.gz (182.7 KB) pdf (358.2 KB)
The Heterogeneous Multi-Scale Method Based on the Discontinuous Galerkin Method for Hyperbolic and Parabolic Problems by S. Chen, W.E., and C.-W. Shu on Jan. 1, 2004	2004-11	40 pp.	ps.gz (807.4 KB) pdf (898.2 KB)
High Order Finite Difference WENO Schemes with the Exact Conservation Property for the Shallow Water Equations by Y. Xing and C.-W. Shu on Jan. 1, 2004	2004-10	32 pp.	ps.gz (642.6 KB) pdf (709.3 KB)
Local Discontinuous Galerkin Methods for Nonlinear Shroedinger Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004	2004-9	34 pp.	ps.gz (687.4 KB) pdf (1.5 MB)
Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes by D. Levy , S. Nayak, C.-W. Shu, and Y.-T. Zhang on Jan. 1, 2004	2004-8	20 pp.	ps.gz (1.1 MB) pdf (985.0 KB)
Local Discontinuous Galerkin Methods for the Kuramoto-Sivashinsky Equations and the Ito-type Coupled KdV Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004	2004-7	22 pp.	ps.gz (3.6 MB) pdf (7.3 MB)
Analytical Theory of Grating Couplers for Waveguilde Sensing: A Perturbation Approach and its Limitations by R. Horvath, L.C. Wilcox, H.C. Pedersen, N. Skivesen, J.S. Hesthaven, and P.M. Johansen on Jan. 1, 2004	2004-6	32 pp.	ps.gz (403.5 KB) pdf (272.7 KB)
A Hybrid Cosmological Hydrodynamic/N-Body Code Based on a Weighted Essentially Non-Oscillatory Scheme by L.-L. Feng, C.-W. Shu, and M. Zhang on Jan. 1, 2004	2004-5	40 pp.	ps.gz (598.9 KB) pdf (2.0 MB)
Discontinuous Galerkin Methods for the Time-Domain Maxwell's Equations: An Introduction by J.S. Hesthaven and T. Warburton on Jan. 1, 2004	2004-4	18 pp.	ps.gz (3.4 MB) pdf (5.0 MB)
Approximation of Hyperbolic Models for Chemosensitive Movements by F. Filbet and C.-W. Shu on Jan. 1, 2004	2004-3	26 pp.	ps.gz (1.7 MB) pdf (1.1 MB)
Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations by Y. Xu and C.-W. Shu on Jan. 1, 2004	2004-2	31 pp.	ps.gz (2.0 MB) pdf (5.8 MB)
The Discontinuous Galerkin Method with Lax-Wendroff Type Time Discretization by J. Qiu, M. Dumbser, and C.-W. Shu on Jan. 1, 2004	2004-1	25 pp.	ps.gz (1012.1 KB) pdf (1.2 MB)
Filtering in Legendre Spectral Methods by J.S. Hesthaven and R.M. Kirby on Jan. 1, 2003	2003-28	30 pp.	ps.gz (972.5 KB) pdf (1.1 MB)
Uncertainly Analysis For Steady-State Inviscid Burgers' Equation by Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2003	2003-27	29 pp.	ps.gz (195.9 KB) pdf (677.7 KB)
Spectral Methods for Compressible Reactive Flows by D. Gottlieb and S. Gottlieb on Jan. 1, 2003	2003-26	16 pp.	ps.gz (11.6 MB) pdf (12.7 MB)
Hermite WENO Schemes and Their Application As Limiters For Runge-Kutta Discontinuous Galerkin Method II: Two Dimensional Case by J. Qiu and C.-W. Shu on Jan. 1, 2003	2003-25	29 pp.	ps.gz (1.3 MB) pdf (1.8 MB)
Reinterpretation and Simplified Implementation of a Discontinuous Galerkin Method for Hamilton-Jacobi Equations by F. Li and C.-W. Shu on Jan. 1, 2003	2003-24	9 pp.	ps.gz (279.5 KB) pdf (922.5 KB)
A Spectral Multidomain Penalty Method Model For the Simulation of High Reynolds Number Localized Incompressible Stratified Turbulence by P.J. Diasmessis, J.A. Domaradzki, and J.S. Hesthaven on Jan. 1, 2003	2003-23	38 pp.	ps.gz (2.7 MB) pdf (2.9 MB)
On the Computation of High-Order Pseudospectral Derivatives by B. Costa and W.S. Don on Jan. 1, 2003	2003-22	12 pp.	ps.gz (73.7 KB) pdf (218.4 KB)
Spectral Convergence of Mapped Chebyshev Methods by B. Costa, W.S. Don, and A. Simas on Jan. 1, 2003	2003-21	14 pp.	ps.gz (106.7 KB) pdf (284.8 KB)
Numerical Simulations of High Mach Number Astrophysical Jets With Radiative Cooling by Y. Ha, C.L. Gardner, A. Gelb, and C.-W. Shu on Jan. 1, 2003	2003-20	17 pp.	ps.gz (2.1 MB) pdf (1.5 MB)
Local Divergence-Free Discontinuous Galerkin Methods for MHD Equations by F. Li and C.-W. Shu on Jan. 1, 2003	2003-19	33 pp.	ps.gz (2.5 MB) pdf (2.6 MB)
Local Discontinuous Galerkin Methods for Nonlinear Dispersive Equations by D. Levy, C.-W. Shu, and J. Yan on Jan. 1, 2003	2003-18	25 pp.	ps.gz (136.4 KB) pdf (353.4 KB)
Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs by Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on Jan. 1, 2003	2003-17	31 pp.	ps.gz (161.5 KB) pdf (423.7 KB)
Simulation of Complex Viscoelastic Flows Using Fokker-Planck Equation: 3D FENE Model by C. Chauviere and A. Lozinski on Jan. 1, 2003	2003-16	20 pp.	ps.gz (411.2 KB) pdf (400.6 KB)
Locally Divergence-Free Galerkin Methods for the Maxwell Equations by B. Cockburn, F. Li, and C.-W. Shu on Jan. 1, 2003	2003-15	36 pp.	ps.gz (261.9 KB) pdf (471.7 KB)
Fourier-Pade Approximations and Filtering for the Spectral Simulations of Incompressible Boussinesq Convection Problem by M.S. Min, S.M Kaber, and W.S. Don on Jan. 1, 2003	2003-14	16 pp.	ps.gz (160.1 KB) pdf (384.1 KB)
Hermite WENO Schemes and Their Application as Limiters for Runge-Kutta Discontinuous Galerkin Method: One Dimensional Case by J. Qiu and C.-W. Shu on Jan. 1, 2003	2003-13	31 pp.	ps.gz (341.5 KB) pdf (752.8 KB)
Fast and Accurate Boundary Variation Method for Multi-Layered Diffractive Optics by L.C. Wilcox, P.G. Dinesen, and J.S. Hesthaven on Jan. 1, 2003	2003-12	39 pp.	ps.gz (449.4 KB) pdf (278.4 KB)
High Order Nodal Discontinuous Galerkin Methods for the Maxwell Eigenvalue Problem by J.S. Hesthaven and T. Warburton on Jan. 1, 2003	2003-11	31 pp.	ps.gz (782.9 KB) pdf (1.2 MB)
An Analysis Of and a Comparison Between the Discontinuous Galerkin and the Spectral Finite Volume Methods by M. Zhang and C.-W. Shu on Jan. 1, 2003	2003-10	18 pp.	ps.gz (73.3 KB) pdf (205.0 KB)
On a One-Sided Post-Processing Technique for the Discontinuous Galerkin Methods by J. Ryan and C.-W. Shu on Jan. 1, 2003	2003-9	19 pp.	ps.gz (369.3 KB) pdf (503.8 KB)
Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters by J. Qiu and C.-W. Shu on Jan. 1, 2003	2003-8	36 pp.	ps.gz (2.1 MB) pdf (3.2 MB)
The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations by D. Xiu and G.E. Karniadakis on Jan. 1, 2003	2003-7	26 pp.	ps.gz (559.9 KB) pdf (445.0 KB)
Modeling Uncertainty in Flow Simulations Via Generalized Polynomial Chaos by D. Xiu and G.E. Karniadakis on Jan. 1, 2003	2003-6	37 pp.	ps.gz (1.1 MB) pdf (965.8 KB)
Modeling Uncertainty in Steady-State Diffusion Problems Via Generalized Polynomial Chaos by D. Xiu and G.E. Karniadakis on Jan. 1, 2003	2003-5	27 pp.	ps.gz (409.2 KB) pdf (312.3 KB)
Domain Decomposition Spectral Approximations for an Eigenvalue Problem with a Piecewise Constant Coefficient by M.S. Min and D. Gottlieb on Jan. 1, 2003	2003-4	18 pp.	ps.gz (107.0 KB) pdf (361.0 KB)
Extension of a Post-Porcessing Technique for the Discontinuous Galerkin Method for Hyperbolic Equations with Applications to an Aeroacoustic Problem by J. Ryan, C.-W. Shu, and H. Atkins on Jan. 1, 2003	2003-3	36 pp.	ps.gz (1.5 MB) pdf (727.8 KB)
Numerical Convergence Study of Nearly-Incompressible, Inviscid Taylor-Green Vortex Flow by W.S. Don, D. Gottlieb, C.-W. Shu, O. Shilling, L. Jameson on Jan. 1, 2003	2003-2	31 pp.	ps.gz (4.1 MB) pdf (1.8 MB)
A Fast Solver for Fokker-Planck Equation Applied to Viscoelastic Flow Calculations by A. Lozinski and C. Chauviere on Jan. 1, 2003	2003-1	23 pp.	ps.gz (298.2 KB) pdf (357.9 KB)
A Spectral Vanishing Viscosity Method for Stabilizing Low-Dimensional Galerkin Systems by S. Sirisup and G. E. Karniadakis on Jan. 1, 2002	2002-20	24 pp.	ps.gz (16.5 MB) pdf (14.5 MB)
On the Constants in hp-Finite Element Trace Inequalities by T. Warburton and J. S. Hesthaven on Jan. 1, 2002	2002-19	18 pp.	ps.gz (67.9 KB) pdf (202.6 KB)
A Fokker-Planck Simulation of Fast Flows of Concentrated Polymer Solutions in Complex Geometries by A. Lozinski, C. Chauviere, J. Fang, and R. G. Owens on Jan. 1, 2002	2002-18	49 pp.	ps.gz (1.1 MB) pdf (1.5 MB)
High-Order Accurate Methods in Time-Domain Computational Electromagnetics: A Review by J. S. Hesthaven on Jan. 1, 2002	2002-17	54 pp.	ps.gz (6.0 MB) pdf (10.3 MB)
Spatial Discretization Of the Dusty Gas Equations by D. Gottlieb and R. Teman on Jan. 1, 2002	2002-16	27 pp.	ps.gz (221.3 KB) pdf (196.3 KB)
High-Order Accurate Methods For Time-Domain Electromagnetics by J.S. Hesthaven and T. Warburton on Jan. 1, 2002	2002-15	12 pp.	ps.gz (1.2 MB) pdf (2.3 MB)
P-Refinement and P-Threads by S. Dong and G.E. Karniadakis on Jan. 1, 2002	2002-14	21 pp.	ps.gz (414.5 KB) pdf (400.5 KB)
An Analysis of Three Different Formulations of the Discontinuous Galerkin Method For Diffusion Equations by M. Zhang and C.-W. Shu on Jan. 1, 2002	2002-13	25 pp.	ps.gz (104.1 KB) pdf (277.0 KB)
Finite Difference WENO Schemes With Lax-Wendroff Type Time Discretizations by J. Qiu and C.-W. Shu on Jan. 1, 2002	2002-12	25 pp.	ps.gz (688.4 KB) pdf (1.0 MB)
Multi-Domain WENO Finite Difference Method With Implementation at Sub-Domain Interfaces by K. Sebastian and C.-W. Shu on Jan. 1, 2002	2002-11	47 pp.	ps.gz (1.7 MB) pdf (2.1 MB)
Simulation of Dilute Polymer Solutions Using a Fokker-Planck Equation by C. Chauviere and A. Lozinski on Jan. 1, 2002	2002-10	11 pp.	ps.gz (1.3 MB) pdf (1.5 MB)
On the Engquist-Majda Absorbing Boundary Conditions for Hyperbolic Systems by A. Ditkowski and D. Gottlieb on Jan. 1, 2002	2002-9	23 pp.	ps.gz (91.8 KB) pdf (264.3 KB)
Resolution of High-Order WENO Schemes for Complicated Flow Structures by J. Shi, Y. T. Zhang, and C.-W. Shu on Jan. 1, 2002	2002-8	13 pp.	ps.gz (3.5 MB) pdf (3.9 MB)
A Weighted Essentially Non-Oscillatory Numerical Scheme for a Multi-Class LWR Model by M. Zhang, C.-W. Shu, G. C. K. Wong, and S. C. Wong on Jan. 1, 2002	2002-7	44 pp.	ps.gz (547.0 KB) pdf (709.8 KB)
A Multi-Domain Spectral Method for Supersonic Reactive Flows by W.S. Don, D. Gottlieb, and J.H. Jung on Jan. 1, 2002	2002-6	26 pp.	ps.gz (4.4 MB) pdf (4.3 MB)
Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods For Scalar Conservation Laws by Q. Zhang and C.-W. Shu on Jan. 1, 2002	2002-5	27 pp.	ps.gz (148.3 KB) pdf (368.5 KB)
On the Convergence of the Fourier Approximation For Eigenvalues and Eigenfunctions of Discontinuous Problems by M.S. Min and D. Gottlieb on Jan. 1, 2002	2002-4	15 pp.	ps.gz (90.1 KB) pdf (255.4 KB)
A WENO-Solver For the Transients of Boltzmann-Poisson System for Semiconductor Devices. Performance and Comparisons With Monte-Carlo Methods by J. A. Carrillo, I. M. Gamba, A. Majorana, and C.-W. Shu on Jan. 1, 2002	2002-3	29 pp.	ps.gz (1.5 MB) pdf (2.1 MB)
An Efficient Technique For Simulation of Viscoelastic Flows Derived From the Brownian Configuration Field Method by Q. Zhang, M. Zhang, G. Jin, D. Lin, and C.-W. Shu on Jan. 1, 2002	2002-2	15 pp.	ps.gz (126.3 KB) pdf (268.0 KB)
Modeling Numerical Methods and Simulation For Particle-Fluid Two-Phase Flow Problems by Q. Zhang, M. Zhang, G. Jin, D. Lin, and C.-W. Shu on Jan. 1, 2002	2002-1	25 pp.	ps.gz (390.1 KB) pdf (738.4 KB)
Shock Capturing, Level Sets, and PDE-Based Methods in Computer Vision and Image Processing: A Review of Osher's Contribution by R. I. Fedkiw, G. Sapiro, and C.-W. Shu on Jan. 1, 2001	2001-25	68 pp.	ps.gz (4.9 MB) pdf (564.5 KB)
Local Discontinuous Galerkin Methods For Partial Differential Equations With Higher-Order Derivatives by J. Yan and C.-W. Shu on Jan. 1, 2001	2001-24	26 pp.	ps.gz (87.3 KB) pdf (245.9 KB)
Under-Resolution and Diagnostics in Spectral Simulations of Complex-Geometry Flows by R. M. Kirby and G. E. Karniadakis on Jan. 1, 2001	2001-23	44 pp.	ps.gz (2.1 MB) pdf (2.8 MB)
A Semi-Lagrangian Method For Turbulence Simulations Using Mixed Spectral Discretizations by J. Xu, D. Xiu, and G. E. Karniadakis on Jan. 1, 2001	2001-22	15 pp.	ps.gz (151.5 KB) pdf (140.4 KB)
Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation by M. Jardak, C. H. Su, and G. E. Karniadakis on Jan. 1, 2001	2001-21	21 pp.	ps.gz (267.8 KB) pdf (373.7 KB)
Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos by d. Xiu, D. Lucor, C. H. Su, and G. E. Karniadakis on Jan. 1, 2001	2001-20	20 pp.	ps.gz (356.6 KB) pdf (529.1 KB)
High-Order Unstructured Grid Methods for Time-Domain Electromagnetics by J. S. Hesthaven and T. Warburton on Jan. 1, 2001	2001-19	10 pp.	ps.gz (1.2 MB) pdf (2.4 MB)
A Survey of Strong Stability-Preserving High-Order Time Discretizations by C.-W. Shu on Jan. 1, 2001	2001-18	15 pp.	ps.gz (69.4 KB) pdf (208.0 KB)
High-Order WENO Schemes For the Hamilton-Jacobi Equations on Triangular Meshes by Y. Zhang and C.-W. Shu on Jan. 1, 2001	2001-17	45 pp.	ps.gz (1.9 MB) pdf (4.4 MB)
A WENO Solver For the 1D Non-Stationary Boltzmann-Poisson System for Semiconductor Devices by J. A. Carrillo, I. M. Gamba, A. Majorana, and C.-W. Shu on Jan. 1, 2001	2001-16	10 pp.	ps.gz (149.2 KB) pdf (342.2 KB)
Long-Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics by S. Abarbanel, D. Gottlieb, and J. S. Hesthaven on Jan. 1, 2001	2001-15	16 pp.	ps.gz (803.5 KB) pdf (1.1 MB)
On the Conservation and Convergence to Weak Solutions of Global Schemes by M. H. Carpenter, D. Gottlieb, and C.-W. Shu on Jan. 1, 2001	2001-14	24 pp.	ps.gz (83.2 KB) pdf (222.0 KB)
Numerical Solution of a Virtual Internal Bond Model For Material Fracture by P. Lin and C.-W. Shu on Jan. 1, 2001	2001-13	19 pp.	ps.gz (394.3 KB) pdf (571.5 KB)
Nodal High-Order Discontinuous Galerkin Method for the Spherical Shallow Water Equations by F. X. Giraldo, J. S. Hesthaven, and T. Warburton on Jan. 1, 2001	2001-12	25 pp.	ps.gz (1.9 MB) pdf (2.0 MB)
On the Construction, Comparison, and Local Characteristic Decomposition For High-Order Central WENO Schemes by J. Qiu and C.-W. Shu on Jan. 1, 2001	2001-11	33 pp.	ps.gz (299.9 KB) pdf (446.3 KB)
A Local Discontinuous Galerkin Method for KdV-Type Equations by J. Yan and C.-W. Shu on Jan. 1, 2001	2001-10	35 pp.	ps.gz (689.7 KB) pdf (1.4 MB)
Multi-Domain Pseudospectral Time-Domain Simulations of Scattering By Objects Buried in Lossy Media by G. X. Fan, Q. H. Liu, and J. S. Hesthaven on Jan. 1, 2001	2001-9	26 pp.	ps.gz (4.7 MB) pdf (3.3 MB)
A Multidomain Pseudospectral Formulation For the Simulation of Elastic Wave Scattering by S. A. Nielsen and J. S. Hesthaven on Jan. 1, 2001	2001-8	37 pp.	ps.gz (2.1 MB) pdf (1.9 MB)
High-Order Finite-Difference and Finite-Volume WENO Schemes and Discontinuous Galerkin Methods for CFD by C.-W. Shu on Jan. 1, 2001	2001-7	28 pp.	ps.gz (1.4 MB) pdf (1.6 MB)
Adaptive High-Order Finite-Difference Method For Nonlinear Wave Problems by I. Fatkullin and J. S. Hesthaven on Jan. 1, 2001	2001-6	16 pp.	ps.gz (162.7 KB) pdf (432.4 KB)
Modeling Uncertainty in Flow Simulations Via Polynomial Chaos by D. Xiu and G. E. Karniadakis on Jan. 1, 2001	2001-5	32 pp.	ps.gz (2.6 MB) pdf (1.5 MB)
A Semi-Lagrangian High-Order Method for Navier-Stokes Equations by D. Xiu and G. E. Karniadakis on Jan. 1, 2001	2001-4	27 pp.	ps.gz (268.9 KB) pdf (426.7 KB)
High-Order/Spectral Methods on Unstructured Grids I. Time-Domain Solution of Maxwell's Equations by J. S. Hesthaven and T. Warburton on Jan. 1, 2001	2001-3	46 pp.	ps.gz (992.5 KB) pdf (1.5 MB)
Numerical Study on Landau Damping by T. Zhou, Y. Guo, and C.-W. Shu on Jan. 1, 2001	2001-2	17 pp.	ps.gz (1.6 MB) pdf (1.7 MB)
Fast and Accurate Modeling of Waveguide Grating Couplers. II. The Three-Dimensional Vectorial Case by P. Dinesen and J.S. Hesthaven on Jan. 1, 2001	2001-1	26 pp.	ps.gz (815.7 KB) pdf (1.2 MB)
The Instability of the Yee Scheme For the "Magic Time Step" by M. S. Min and C. H. Teng on Jan. 1, 2000	2000-16	7 pp.	ps.gz (58.4 KB) pdf (935.4 KB)
A Technique of Treating Negative Weights in WENO Schemes by J. Shi, C. Hu, and C.-W. Shu on Jan. 1, 2000	2000-15	26 pp.	ps.gz (2.8 MB) pdf (2.1 MB)
Comparison of Monte-Carlo and Deterministic Simulations of a Silicon Diode by J. A. Carrillo, I. M. Gamba, O. Muscato, and C.-W. Shu on Jan. 1, 2000	2000-14	11 pp.	ps.gz (237.2 KB) pdf (446.3 KB)
Enhance Accuracy By Post-Processing For Finite-Element Methods for Hyperbolic Equations by B. Cockburn, M. Luskin, C.-W. Shu, and E. Suli on Jan. 1, 2000	2000-13	31 pp.	ps.gz (350.5 KB) pdf (590.1 KB)
Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems by B. Cockburn and C.-W. Shu on Jan. 1, 2000	2000-12	78 pp.	ps.gz (4.1 MB) pdf (6.0 MB)
Modelling Dielectric Interfaces in the FDTD Method: A Comparative Study by C. H. Teng, A. Ditkowski, and J. S. Hesthaven on Jan. 1, 2000	2000-11	7 pp.	ps.gz (88.5 KB) pdf (231.8 KB)
On Error Bounds of Finite-Difference Approximations to Partial Differential Equations -- Temporal Behavior and Rate of Convergence by S. Abarbanel, A. Ditkowski, and B. Gustafsson on Jan. 1, 2000	2000-10	42 pp.	ps.gz (243.2 KB) pdf (417.8 KB)
Analysis of Electrosmotically-Driven Micro-Channel Flows by P. Dutta, T. C. Warburton, and A. Beskok on Jan. 1, 2000	2000-9	23 pp.	ps.gz (322.8 KB) pdf (459.3 KB)
Ground States of Dispersion-Managed NLS by E. Grenier, S. K. Turitsyn, C. K. R. T. Jones, V. Zharnitsky, and J. S. Hesthaven on Jan. 1, 2000	2000-8	18 pp.	ps.gz (84.9 KB) pdf (217.6 KB)
Different Formulations of the Discontinuous Galerkin Method For the Viscous Terms by C.-W. Shu on Jan. 1, 2000	2000-7	11 pp.	ps.gz (94.7 KB) pdf (235.7 KB)
Numerical Comparison of WENO Finite-Volume and Runge-Kutta Discontinuous Galerkin Methods by T. Zhou, Y. Li, and C.-W. Shu on Jan. 1, 2000	2000-6	23 pp.	ps.gz (348.6 KB) pdf (611.7 KB)
Fast and Accurate Modeling of Waveguide Grating Couplers by P. G. Dinesen and J. S. Hesthaven on Jan. 1, 2000	2000-5	19 pp.	ps.gz (551.1 KB) pdf (243.0 KB)
An Unstructured hp Finite-Element Scheme For Fluid Flow and Heat Transfer in Moving Domains by A. Beskok and T. Warburton on Jan. 1, 2000	2000-4	21 pp.	ps.gz (6.3 MB) pdf (10.0 MB)
Computational Macroscopic Approximations to the 1D Relaxation-Time Kinetic System For Semiconductors by J. A. Carrillo, I. Gamba, and C.-W. Shu on Jan. 1, 2000	2000-3	23 pp.	ps.gz (144.5 KB) pdf (371.7 KB)
Strong Stability-Preserving High-Order Time Discretization Methods by S. Gottlieb, C.-W. Shu, and E. Tadmor on Jan. 1, 2000	2000-2	27 pp.	ps.gz (101.4 KB) pdf (318.6 KB)
Spectral Methods For Hyperbolic Problems by D. Gottlieb and J. S. Hesthaven on Jan. 1, 2000	2000-1	54 pp.	ps.gz (6.7 MB) pdf (11.9 MB)

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