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 2009-11-18

Deterministic numerical schemes for the Boltzmann equation

by A. Narayan and A. Kloeckner on 2009-11-18

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 2009-10-29

A mixed method for the biharmonic problem based on a system of first-order equations

by E.M. Behrens and J. Guzman on 2009-10-27

On maximum-principle-satisfying high order schemes for scalar conservation laws

by X. Zhang and C.-W. Shu on 2009-10-27

A seamless reduced basis element method for 2D Maxwell's Problem: An Introduction

by Y. Chen, J.S. Hesthaven, and Y. Maday on 2009-10-19

Development and application of a multirate multistep AB method to a discontinuous Galerkin method based particle-in-cell scheme

by A. Stock on 2009-10-15

A generalization of the Wiener rational basis functions on infinite intervals. Part II - Numerical investigations

by A.C. Narayan and J.S. Hesthaven on 2009-10-15

Efficient numerical treatment of the compressible Navier-Stokes equations with nodal discontinuous Galerkin methods on graphics processors

by H. Riedmann on 2009-10-13

A discontinuous Galerkin solver for front propagation

by O. Bokanowski, Y. Cheng, and C.-W. Shu on 2009-09-23

A unified analysis of several mixed methods for elasticity with weak stress symmetry

by J. Guzman on 2009-09-17

A second elasticity element using the matrix bubble with tightened stress symmetry

by J. Gopalakrishnan and J. Guzman on 2009-09-17

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 2009-09-16

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 2009-09-06

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 2009-08-24

Hierarchical reconstruction with up to second degree remainder for solving nonlinear conservation laws

by Y. Liu, C.-W. Shu and Z. Xu on 2009-08-01

A genuinely high order total variation diminishing scheme for one-dimensional scalar conservation laws

by X. Zhang and C.-W. Shu on 2009-07-09

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 2009-06-05

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 2009-05-28

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 2009-05-21

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 2009-05-08

Dynamic continuum pedestrian flow model with memory effect

by Y. Xia, S.C. Wong, and C.-W. Shu on 2009-04-30

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 2009-04-28

A posteriori estimates for the bubble stabilized discontinuous Galerkin method

by B Stamm on 2009-03-26

Bubble stabilized discontinuous Galerkin method for Stokes' problem

by E. Burman and B. Stamm on 2009-03-18

On the positivity of linear weights in WENO approximations

by Y. Liu, C.-W. Shu and M. Zhang on 2009-03-15

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 2009-03-12

High-order accurate thin layer approximations for time-domain electromagnetics. Part II: Transmission layers

by S. Chun, H. Haddar, and J.S. Hesthaven on 2009-03-12

Analysis of high-order streamline diffusion methods on arbitrary grids and optimal convergence on layer adapted meshes

by F. Celiker and J. Guzman on 2009-03-03

Optimal convergence of the original DG method in special meshes for variable velocity

by B. Cockburn, B. Dong, J. Guzmán and J. Qian on 2009-03-02

Local energy estimates for the finite element method on sharply varying grids

by A. Demlow, J. Guzmán, and A.H. Schatz on 2009-03-02

Dissipative numerical methods for the Hunter-Saxton equation

by Y. Xu and C.-W. Shu on 2009-02-25

Topological structure of shock induced vortex breakdown

by S. Zhang, H. Zhang, and C.-W. Shu on 2009-02-18

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 2009-02-15

Local discontinuous Galerkin methods for the generalized Zhakarov system

by Y. Xia, Y. Xu, and C.-W. Shu on 2009-02-11

Discontinuous Galerkin method for computing gravitational waveforms for extreme mass ratio binaries

by S.E. Field, J.S. Hesthaven, and S.R. Lau on 2009-02-08

High-order schemes for CFD: A review

by J. Cheng and C.-W. Shu on 2009-02-06

Local discontinuous Galerkin methods for high-order time-dependent partial differential equations

by Y. Xu and C.-W. Shu on 2009-02-01

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 2009-01-27

A discontinuous Galerkin solver for Boltzmann Poisson systems in nano devices

by Y. Cheng, I.M. Gamba, A. Majorana, and C.-W. Shu on 2008-12-26

Nodal Discontinuous Galerkin Methods on Graphics Processors

by A. Kloeckner, T. Warburton, J. Bridge, and J.S. Hesthaven on 2008-12-18

Hierarchical reconstruction for spectral volume method on unstructured grids

by Z. Xu, Y. Liu, and C.-W. Shu on 2008-12-04

Time evolution of Wouthuysen-Field coupling

by I. Roy, W. Xu, J.-M. Qiu , C.-W. Shu, and L.-Z. Fang on 2008-01-01

Fourier analysis for discontinuous Galerkin and related methods

by M. Zhang and C.-W. Shu on 2008-01-01

The application of the Fast Fourier Transform to Jacobi polynomial expansions

by A. C. Narayan and J.S. Hesthaven on 2008-10-01

High-order well-balanced schemes

by S. Noelle, Y. Xing, and C.-W. Shu on 2008-01-01

Analysis of a local discontinuous Galerkin method for fourth-order time-dependent problems

by B. Dong and C.-W. Shu on 2008-01-01

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 2008-01-01

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 2008-01-01

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 2008-01-01

IMEX evolution of scalar fields on curved backgrounds

by S.R. Lau, H.P. Pfeiffer, and J.S. Hesthaven on 2008-01-01

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 2008-01-01

Local discontinuous Galerkin method for surface diffusion and Willmore flow of graphs

by Y. Xu and C.-W. Shu on 2008-01-01

Revisiting and extending interface penalties for multi-domain summation-by-parts operators

by M.H. Carpenter, J. Nordstrom, and D. Gottlieb on 2008-01-01

Galerkin method for wave equations with uncertain coefficients

by D Gottlieb and D Xiu on 2008-01-01

Modified Optimal Prediction and its Application to a Particle-Method Problem

by A Chertock, D Gottlieb and A Solonomoff on 2008-01-01

High-order accurate thin layer approximations for time-domain electromagnetics. Part I: General metal backed coatings

by S. Chun and J. S. Hesthaven on 2008-01-01

Superconvergence of Local Discontinuous Galerkin Methods for Convection-Diffusion Equations

by Y. Cheng and C.-W. Shu on 2008-01-01

High Order Strong Stability Preserving Time Discretizations

by S. Gottlieb, D.I. Ketcheson, and C.-W. Shu on 2008-01-01

Discontinuous Galerkin Methods: General Approach and Stability

by C.-W. Shu on 2008-01-01

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 2008-01-01

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 2008-01-01

A third order conservative Lagrangian type scheme on curvilinear meshes for the compressible Euler equations

by J. Cheng adn C.-W. Shu on 2008-01-01

Polymorphic Nodal Elements and their Application in Discontinuous Galerkin Methods

by G.J. Gassner, F. Lörcher, C.-D. Munz and J.S. Hesthaven on 2008-01-01

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 2008-01-01

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 2008-01-01

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 2008-01-11

Development of Nonlinear Weighted Compact Schemes with Increasingly Higher Order Accuracy

by S Zhang, S Jiang and C-W Shu on 2007-01-01

Superconvergence and Time Evolution of Discontinuous Galerkin Finite Element Solutions

by Y. Cheng and C.-W. Shu on 2007-01-01

On Partial Spherical Means Formulas and Radiation Boundary Conditions for the 3+1 Wave Equation

by S Lau on 2007-01-01

Runge−Kutta discontinuous Galerkin method using WENO limiters II: unstructured meshes

by J. Zhu, J. Qiu, C.-W. Shu, and M. Dumbser on 2007-01-01

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 2007-01-01

Development of Residual Distribution Schemes for Discontinuous Galerkin Method: The Scalar Case with Linear Elements

by R Abgrall and C.-W. Shu on 2007-01-01

Application of the Local Discontinuous Galerkin Method for the Allen-Cahn/Cahn-Hillard System

by Y. Xia, Y. Xu, and C.-W. Shu on 2007-01-01

Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes

by Y.-T. Zhang and C.-W. Shu on 2007-01-01

The Discontinuous Galerkin Method for the Multiscale Modeling of Dynamics of Crystalline Solids

by W. Wang, X. Li, and C.-W. Shu on 2007-01-01

A Second Order Discontinuous Galerkin Fast Sweeping Method for Eikonal Equations

by F.Li, C.-W. Shu, Y.-T. Zhang and H. Zhao on 2007-01-01

A High-Order ENO Conservative Lagrangian Scheme for the Compressible Euler Equations

by J. Cheng and C.-W. Shu on 2007-01-01

Radiation Boundary Conditions for Maxwell's Equations: A Review of Accurate Time-Domain Formulations

by T Hagstrom and S Lau on 2007-01-01

Strong Stability Preserving Property of the Deferred Correction Time Discretization

by Y. Liu, C.-W. Shu, and M. Zhang on 2007-01-01

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 2007-01-01

A High Order WENO Scheme for a Hierarchical Size-Structured Model

by J. Shen, C.-W. Shu and M. Zhang on 2007-01-01

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 2007-01-01

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 2007-01-01

Discontinuous Galerkin Method for a Class of Elliptic Multi-Scale Problems

by L. Yuan and C.-W. Shu on 2007-01-01

Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations

by Y. Xia, Y. Xu, and C.-W. Shu on 2007-01-01

A Local Discontinuous Galerkin Method for the Camassa-Holm Equation

by Y. Xu and C.-W. Shu on 2007-01-01

Post-Processing for the Discontinuous Galerkin Method over Non-Uniform Meshes

by S. Curtis, R.M Kirby, J.K. Ryan, C.-W. Shu on 2007-01-01

Multidomain Spectral Method for the Helically Reduced Wave Equation

by S. R. Lau and R.H. Price on 2007-01-01

High Order Weigthed Essentially Non-Oscillatory Schemes for Convection Dominated Problems

by C.-W. Shu on 2006-01-01

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 2006-01-01

Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

by Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang on 2006-01-01

A Discontinuous Galerkin Finite Element Method for Time Dependent Partial Differential Equations with Higher Order Derivatives

by Y. Cheng and C.-W. Shu on 2006-01-01

Efficient Time-Discretization for Local Discontinuous Galerkin Methods

by Y. Xia, Y. Xu, and C.-W. Shu on 2006-01-01

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 2006-01-01

Pade-Gegenbauer Suppression of Runge Phenomenon in the Diagonal Limit of Gegenbauer Approximations

by L. Lurati on 2006-01-01

An Improved Weigthed Essentially Non-Oscillatory Scheme for Hyperbolic Conservation Laws

by R. Borges, B. Costa, and W.S. Don on 2006-01-01

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 2006-01-01

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 2006-01-01

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 2006-01-01

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 2006-01-01

A Discontinuous Galerkin Finite Element Method for Directly Solving the Hamilton-Jacobi Equations

by Y. Cheng and C.-W. Shu on 2006-01-01

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 2006-01-01

Convergence of Godunov-Type Schemes for Scalar Conservation Laws under Large Time Steps

by J. Qiu and C.-W. Shu on 2006-01-01

Convergence towards Steady State Solutions of the Euler Equations with WENO Schemes

by S. Zhang and C.-W. Shu on 2006-01-01

Multi-Domain Hybrid Spectral-WENO Methods for Hyperbolic Conservation Laws

by B. Costa and W.S. Don on 2006-01-01

Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant

by Z. Xu and C.-W. Shu on 2006-01-01

High Order Hybrid Central-WENO Finite Difference Scheme for Conservation Laws

by B. Costa and W.S. Don on 2006-01-01

Two-Dimensional Multi-Domain Hybrid Spectral-WENO Methods for Conservation Laws

by B. Costa, W.S. Don, D. Gottlieb, and R. Sendersky on 2006-01-01

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 2006-01-01

Long-Term Behavior of Polynomial Chaos in Stochastic Flow Simulations

by X. Wan and G.E. Karniadakis on 2005-01-01

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 2005-01-01

A High Order Accurate Conservative Remapping Method on Staggered Meshes

by J. Cheng and C.-W. Shu on 2005-01-01

Discontinuous Galerkin Method Based on Non-Polynomial Approximation

by L. Yuan and C.-W. Shu on 2005-01-01

A Local-Structure Preserving Local Discontinuous Galerkin Method for the Laplace Equation

by F. Li and C.-W. Shu on 2005-01-01

Local Discontinuous Galerkin Methods for Moment Models in Device Simulations: Performance Assessment and Two-Dimensional Results

by Y. Liu and C.-W. Shu on 2005-01-01

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 2005-01-01

High Resolution Schemes for a Hierarchical Size-Structured Model

by J. Shen, C.-W. Shu, and M. Zhang on 2005-01-01

Reduced Navier-Stokes Equations Near a Flow Boundary

by M.S. Kilic, G.B. Jacobs, J.S. Hesthaven, and G. Haller on 2005-01-01

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 2005-01-01

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 2005-01-01

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 2005-01-01

Demonstrating Shock Mitigation and Drag Reduced by Pulsed Energy Lines with Multi-Domain WENO

by K. Kremeyer, K. Sebastian, and C.-W. Shu on 2005-01-01

Effects of Shock Waves on Rayleigh-Taylor Instabilities

by Y.-T. Zhang, C.-W. Shu, and Y. Zhou on 2005-01-01

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 2005-01-01

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 2005-01-01

Gappy Data: To Krig or Not To Krig

by H. Gunes, S. Sirisup, and G.E. Karniadakis on 2005-01-01

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 2005-01-01

Anti-Diffusive High-Order WENO Schemes for Hamilton-Jacobi Equations

by Z. Xu and C.-W. Shu on 2005-01-01

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 2005-01-01

Non-Linear PML Equations for Time-Dependent Electromagnetics in Three Dimensions

by S. Abarbanel, D. Gottlieb, and J.S. Hesthaven on 2005-01-01

Time-Consisten Filtering in Spectral and Spectral Element Methods

by A. Kanevksy, M.H. Carpenter, and J.S. Hesthaven on 2005-01-01

Pade-Jacobi Approximants

by J.S. Hesthaven and S.M. Kaber on 2005-01-01

Pade-Legendre Interpolants for Gibbs Reconstruction

by J.S. Hesthaven, S.M. Kaber, and L. Lurati on 2005-01-01

A Survey of Parallel Mesh Generation Methods

by N. Chrisochoides on 2005-01-01

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 2005-01-01

An Adaptive Multi-Element Generalized Polynomial Chaos Method for Stochastic Differential Equations

by X. Wan and G.E. Karniadakis on 2005-01-01

A Discontinuous Galerkin Method for Two-Temperature Plasmas

by G. Lin and G.E. Karniadakis on 2005-01-01

Stochastic Solutions for the Two-Dimensional Advection-Diffusion Equation

by X. Wan, D. Xiu, and G.E. Karniadakis on 2005-01-01

Adaptive Generalize Polynomial Chaos for Nonlinear Random Oscillations

by D. Lucor and G.E. Karniadakis on 2005-01-01

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 2005-01-01

A New Method to Impose No-Slip Boundary Conditions in Dissipative Particle Dynamics

by I.V. Pivkin and G.E. Karniadakis on 2005-01-01

Equation-free/Galerkin-free POD-Assisted Computation of Incompressible Flows

by S. Sirisup, D. Xiu, G.E. Karniadakis, and I.G. Kevrekidis on 2005-01-01

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 2004-01-01

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 2004-01-01

Anti-Diffusive Flux Correction for High-Order Finite Difference WENO Schemes

by Z. Xu and C.-W. Shu on 2004-01-01

Local Discontinuous Galerkin Methods for Two Classes of Two-Dimensional Nonlinear Wave Equations

by Y. Xu and C.-W. Shu on 2004-01-01

The Stochastic Piston Problem

by G. Lin, C.-H. Su, and G.E. Karniadakis on 2004-01-01

Hermite WENO Schemes For Hamilton-Jacobi Equations

by J. Qiu and C.-W. Shu on 2004-01-01

A Comparison of Troubled Cell Indicators for Runge-Kutta Discontinuous Galerkin Methods Using WENO Limiters

by J. Qiu and C.-W. Shu on 2004-01-01

Analysis of Preconditioning and Relaxation Operators for the Discontinuous Galerkin Method Applied to Diffusion

by H. Atkins and C.-W. Shu on 2004-01-01

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 2004-01-01

High Order Finite Difference WENO Schemes with the Exact Conservation Property for the Shallow Water Equations

by Y. Xing and C.-W. Shu on 2004-01-01

Local Discontinuous Galerkin Methods for Nonlinear Shroedinger Equations

by Y. Xu and C.-W. Shu on 2004-01-01

Central WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

by D. Levy , S. Nayak, C.-W. Shu, and Y.-T. Zhang on 2004-01-01

Local Discontinuous Galerkin Methods for the Kuramoto-Sivashinsky Equations and the Ito-type Coupled KdV Equations

by Y. Xu and C.-W. Shu on 2004-01-01

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 2004-01-01

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 2004-01-01

Discontinuous Galerkin Methods for the Time-Domain Maxwell's Equations: An Introduction

by J.S. Hesthaven and T. Warburton on 2004-01-01

Approximation of Hyperbolic Models for Chemosensitive Movements

by F. Filbet and C.-W. Shu on 2004-01-01

Local Discontinuous Galerkin Methods for Three Classes of Nonlinear Wave Equations

by Y. Xu and C.-W. Shu on 2004-01-01

The Discontinuous Galerkin Method with Lax-Wendroff Type Time Discretization

by J. Qiu, M. Dumbser, and C.-W. Shu on 2004-01-01

Filtering in Legendre Spectral Methods

by J.S. Hesthaven and R.M. Kirby on 2003-01-01

Uncertainly Analysis For Steady-State Inviscid Burgers' Equation

by Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on 2003-01-01

Spectral Methods for Compressible Reactive Flows

by D. Gottlieb and S. Gottlieb on 2003-01-01

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 2003-01-01

Reinterpretation and Simplified Implementation of a Discontinuous Galerkin Method for Hamilton-Jacobi Equations

by F. Li and C.-W. Shu on 2003-01-01

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 2003-01-01

On the Computation of High-Order Pseudospectral Derivatives

by B. Costa and W.S. Don on 2003-01-01

Spectral Convergence of Mapped Chebyshev Methods

by B. Costa, W.S. Don, and A. Simas on 2003-01-01

Numerical Simulations of High Mach Number Astrophysical Jets With Radiative Cooling

by Y. Ha, C.L. Gardner, A. Gelb, and C.-W. Shu on 2003-01-01

Local Divergence-Free Discontinuous Galerkin Methods for MHD Equations

by F. Li and C.-W. Shu on 2003-01-01

Local Discontinuous Galerkin Methods for Nonlinear Dispersive Equations

by D. Levy, C.-W. Shu, and J. Yan on 2003-01-01

Spectral Methods Based on Prolate Spheroidal Wave Functions for Hyperbolic PDEs

by Q.Y. Chen, D. Gottlieb, and J.S. Hesthaven on 2003-01-01

Simulation of Complex Viscoelastic Flows Using Fokker-Planck Equation: 3D FENE Model

by C. Chauviere and A. Lozinski on 2003-01-01

Locally Divergence-Free Galerkin Methods for the Maxwell Equations

by B. Cockburn, F. Li, and C.-W. Shu on 2003-01-01

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 2003-01-01

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 2003-01-01

Fast and Accurate Boundary Variation Method for Multi-Layered Diffractive Optics

by L.C. Wilcox, P.G. Dinesen, and J.S. Hesthaven on 2003-01-01

High Order Nodal Discontinuous Galerkin Methods for the Maxwell Eigenvalue Problem

by J.S. Hesthaven and T. Warburton on 2003-01-01

An Analysis Of and a Comparison Between the Discontinuous Galerkin and the Spectral Finite Volume Methods

by M. Zhang and C.-W. Shu on 2003-01-01

On a One-Sided Post-Processing Technique for the Discontinuous Galerkin Methods

by J. Ryan and C.-W. Shu on 2003-01-01

Runge-Kutta Discontinuous Galerkin Method Using WENO Limiters

by J. Qiu and C.-W. Shu on 2003-01-01

The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations

by D. Xiu and G.E. Karniadakis on 2003-01-01

Modeling Uncertainty in Flow Simulations Via Generalized Polynomial Chaos

by D. Xiu and G.E. Karniadakis on 2003-01-01

Modeling Uncertainty in Steady-State Diffusion Problems Via Generalized Polynomial Chaos

by D. Xiu and G.E. Karniadakis on 2003-01-01

Domain Decomposition Spectral Approximations for an Eigenvalue Problem with a Piecewise Constant Coefficient

by M.S. Min and D. Gottlieb on 2003-01-01

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 2003-01-01

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 2003-01-01

A Fast Solver for Fokker-Planck Equation Applied to Viscoelastic Flow Calculations

by A. Lozinski and C. Chauviere on 2003-01-01

A Spectral Vanishing Viscosity Method for Stabilizing Low-Dimensional Galerkin Systems

by S. Sirisup and G. E. Karniadakis on 2002-01-01

On the Constants in hp-Finite Element Trace Inequalities

by T. Warburton and J. S. Hesthaven on 2002-01-01

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 2002-01-01

High-Order Accurate Methods in Time-Domain Computational Electromagnetics: A Review

by J. S. Hesthaven on 2002-01-01

Spatial Discretization Of the Dusty Gas Equations

by D. Gottlieb and R. Teman on 2002-01-01

High-Order Accurate Methods For Time-Domain Electromagnetics

by J.S. Hesthaven and T. Warburton on 2002-01-01

P-Refinement and P-Threads

by S. Dong and G.E. Karniadakis on 2002-01-01

An Analysis of Three Different Formulations of the Discontinuous Galerkin Method For Diffusion Equations

by M. Zhang and C.-W. Shu on 2002-01-01

Finite Difference WENO Schemes With Lax-Wendroff Type Time Discretizations

by J. Qiu and C.-W. Shu on 2002-01-01

Multi-Domain WENO Finite Difference Method With Implementation at Sub-Domain Interfaces

by K. Sebastian and C.-W. Shu on 2002-01-01

Simulation of Dilute Polymer Solutions Using a Fokker-Planck Equation

by C. Chauviere and A. Lozinski on 2002-01-01

On the Engquist-Majda Absorbing Boundary Conditions for Hyperbolic Systems

by A. Ditkowski and D. Gottlieb on 2002-01-01

Resolution of High-Order WENO Schemes for Complicated Flow Structures

by J. Shi, Y. T. Zhang, and C.-W. Shu on 2002-01-01

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 2002-01-01

A Multi-Domain Spectral Method for Supersonic Reactive Flows

by W.S. Don, D. Gottlieb, and J.H. Jung on 2002-01-01

Error Estimates to Smooth Solutions of Runge-Kutta Discontinuous Galerkin Methods For Scalar Conservation Laws

by Q. Zhang and C.-W. Shu on 2002-01-01

On the Convergence of the Fourier Approximation For Eigenvalues and Eigenfunctions of Discontinuous Problems

by M.S. Min and D. Gottlieb on 2002-01-01

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 2002-01-01

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 2002-01-01

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 2002-01-01

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 2001-01-01

Local Discontinuous Galerkin Methods For Partial Differential Equations With Higher-Order Derivatives

by J. Yan and C.-W. Shu on 2001-01-01

Under-Resolution and Diagnostics in Spectral Simulations of Complex-Geometry Flows

by R. M. Kirby and G. E. Karniadakis on 2001-01-01

A Semi-Lagrangian Method For Turbulence Simulations Using Mixed Spectral Discretizations

by J. Xu, D. Xiu, and G. E. Karniadakis on 2001-01-01

Spectral Polynomial Chaos Solutions of the Stochastic Advection Equation

by M. Jardak, C. H. Su, and G. E. Karniadakis on 2001-01-01

Stochastic Modeling of Flow-Structure Interactions Using Generalized Polynomial Chaos

by d. Xiu, D. Lucor, C. H. Su, and G. E. Karniadakis on 2001-01-01

High-Order Unstructured Grid Methods for Time-Domain Electromagnetics

by J. S. Hesthaven and T. Warburton on 2001-01-01

A Survey of Strong Stability-Preserving High-Order Time Discretizations

by C.-W. Shu on 2001-01-01

High-Order WENO Schemes For the Hamilton-Jacobi Equations on Triangular Meshes

by Y. Zhang and C.-W. Shu on 2001-01-01

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 2001-01-01

Long-Time Behavior of the Perfectly Matched Layer Equations in Computational Electromagnetics

by S. Abarbanel, D. Gottlieb, and J. S. Hesthaven on 2001-01-01

On the Conservation and Convergence to Weak Solutions of Global Schemes

by M. H. Carpenter, D. Gottlieb, and C.-W. Shu on 2001-01-01

Numerical Solution of a Virtual Internal Bond Model For Material Fracture

by P. Lin and C.-W. Shu on 2001-01-01

Nodal High-Order Discontinuous Galerkin Method for the Spherical Shallow Water Equations

by F. X. Giraldo, J. S. Hesthaven, and T. Warburton on 2001-01-01

On the Construction, Comparison, and Local Characteristic Decomposition For High-Order Central WENO Schemes

by J. Qiu and C.-W. Shu on 2001-01-01

A Local Discontinuous Galerkin Method for KdV-Type Equations

by J. Yan and C.-W. Shu on 2001-01-01

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 2001-01-01

A Multidomain Pseudospectral Formulation For the Simulation of Elastic Wave Scattering

by S. A. Nielsen and J. S. Hesthaven on 2001-01-01

High-Order Finite-Difference and Finite-Volume WENO Schemes and Discontinuous Galerkin Methods for CFD

by C.-W. Shu on 2001-01-01

Adaptive High-Order Finite-Difference Method For Nonlinear Wave Problems

by I. Fatkullin and J. S. Hesthaven on 2001-01-01

Modeling Uncertainty in Flow Simulations Via Polynomial Chaos

by D. Xiu and G. E. Karniadakis on 2001-01-01

A Semi-Lagrangian High-Order Method for Navier-Stokes Equations

by D. Xiu and G. E. Karniadakis on 2001-01-01

High-Order/Spectral Methods on Unstructured Grids I. Time-Domain Solution of Maxwell's Equations

by J. S. Hesthaven and T. Warburton on 2001-01-01

Numerical Study on Landau Damping

by T. Zhou, Y. Guo, and C.-W. Shu on 2001-01-01

Fast and Accurate Modeling of Waveguide Grating Couplers. II. The Three-Dimensional Vectorial Case

by P. Dinesen and J.S. Hesthaven on 2001-01-01

The Instability of the Yee Scheme For the "Magic Time Step"

by M. S. Min and C. H. Teng on 2000-01-01

A Technique of Treating Negative Weights in WENO Schemes

by J. Shi, C. Hu, and C.-W. Shu on 2000-01-01

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 2000-01-01

Enhance Accuracy By Post-Processing For Finite-Element Methods for Hyperbolic Equations

by B. Cockburn, M. Luskin, C.-W. Shu, and E. Suli on 2000-01-01

Runge-Kutta Discontinuous Galerkin Methods for Convection-Dominated Problems

by B. Cockburn and C.-W. Shu on 2000-01-01

Modelling Dielectric Interfaces in the FDTD Method: A Comparative Study

by C. H. Teng, A. Ditkowski, and J. S. Hesthaven on 2000-01-01

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 2000-01-01

Analysis of Electrosmotically-Driven Micro-Channel Flows

by P. Dutta, T. C. Warburton, and A. Beskok on 2000-01-01

Ground States of Dispersion-Managed NLS

by E. Grenier, S. K. Turitsyn, C. K. R. T. Jones, V. Zharnitsky, and J. S. Hesthaven on 2000-01-01

Different Formulations of the Discontinuous Galerkin Method For the Viscous Terms

by C.-W. Shu on 2000-01-01

Numerical Comparison of WENO Finite-Volume and Runge-Kutta Discontinuous Galerkin Methods

by T. Zhou, Y. Li, and C.-W. Shu on 2000-01-01

Fast and Accurate Modeling of Waveguide Grating Couplers

by P. G. Dinesen and J. S. Hesthaven on 2000-01-01

An Unstructured hp Finite-Element Scheme For Fluid Flow and Heat Transfer in Moving Domains

by A. Beskok and T. Warburton on 2000-01-01

Computational Macroscopic Approximations to the 1D Relaxation-Time Kinetic System For Semiconductors

by J. A. Carrillo, I. Gamba, and C.-W. Shu on 2000-01-01

Strong Stability-Preserving High-Order Time Discretization Methods

by S. Gottlieb, C.-W. Shu, and E. Tadmor on 2000-01-01

Spectral Methods For Hyperbolic Problems

by D. Gottlieb and J. S. Hesthaven on 2000-01-01