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Scientific Computing Group Reports -- 2009

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Title/Author(s)
ID Length Download

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

2009-40 19 pp.
ps.gz (2.3 MB)
pdf (1.2 MB)

Deterministic numerical schemes for the Boltzmann equation

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

2009-39 47 pp.
ps.gz (7.0 MB)
pdf (546.4 KB)

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

2009-38 21 pp.
ps.gz (2.4 MB)
pdf (176.6 KB)

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

2009-37 23 pp.
ps.gz (3.5 MB)
pdf (226.8 KB)

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

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

2009-36 58 pp.
ps.gz (6.5 MB)
pdf (1.2 MB)

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

2009-35 8 pp.
ps.gz (3.9 MB)
pdf (2.5 MB)

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

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 2009-10-15

2009-33 25 pp.
ps.gz (4.4 MB)
pdf (2.5 MB)

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

by H. Riedmann on 2009-10-13

2009-32 98 pp.
ps.gz (14.7 MB)
pdf (4.3 MB)

A discontinuous Galerkin solver for front propagation

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

2009-31 17 pp.
ps.gz (2.4 MB)
pdf (601.3 KB)

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

by J. Guzman on 2009-09-17

2009-30 12 pp.
ps.gz (1.9 MB)
pdf (211.2 KB)

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

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

2009-29 19 pp.
ps.gz (2.9 MB)
pdf (285.6 KB)

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

2009-28 33 pp.
ps.gz (4.3 MB)
pdf (273.1 KB)

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

2009-27 26 pp.
ps.gz (2.3 MB)
pdf (214.1 KB)

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

2009-26 23 pp.
ps.gz (4.0 MB)
pdf (2.7 MB)

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

2009-25 13 pp.
ps.gz (1.7 MB)
pdf (340.8 KB)

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

2009-24 43 pp.
ps.gz (4.4 MB)
pdf (799.1 KB)

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

2009-23 30 pp.
ps.gz (4.9 MB)
pdf (2.6 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 2009-05-28

2009-22 39 pp.
ps.gz (5.4 MB)
pdf (717.2 KB)

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

2009-21 31 pp.
ps.gz (4.7 MB)
pdf (1.4 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 2009-05-08

2009-20 23 pp.
ps.gz (6.8 MB)
pdf (4.2 MB)

Dynamic continuum pedestrian flow model with memory effect

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

2009-19 20 pp.
ps.gz (2.2 MB)
pdf (734.8 KB)

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

2009-18 23 pp.
ps.gz (2.5 MB)
pdf (381.9 KB)

A posteriori estimates for the bubble stabilized discontinuous Galerkin method

by B Stamm on 2009-03-26

2009-17 20 pp.
ps.gz (2.2 MB)
pdf (204.5 KB)

Bubble stabilized discontinuous Galerkin method for Stokes' problem

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

2009-16 15 pp.
ps.gz (2.4 MB)
pdf (260.5 KB)

On the positivity of linear weights in WENO approximations

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

2009-15 56 pp.
ps.gz (4.6 MB)
pdf (336.9 KB)

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

2009-14 31 pp.
ps.gz (6.4 MB)
pdf (2.4 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 2009-03-12

2009-13 40 pp.
ps.gz (5.4 MB)
pdf (662.8 KB)

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

2009-12 23 pp.
ps.gz (3.2 MB)
pdf (251.5 KB)

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

2009-10 11 pp.
ps.gz (2.1 MB)
pdf (322.4 KB)

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

2009-9 8 pp.
ps.gz (1.2 MB)
pdf (179.4 KB)

Dissipative numerical methods for the Hunter-Saxton equation

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

2009-8 23 pp.
ps.gz (2.1 MB)
pdf (162.2 KB)

Topological structure of shock induced vortex breakdown

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

2009-7 39 pp.
ps.gz (26.0 MB)
pdf (21.8 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 2009-02-15

2009-6 31 pp.
ps.gz (3.7 MB)
pdf (909.4 KB)

Local discontinuous Galerkin methods for the generalized Zhakarov system

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

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 2009-02-08

2009-4 26 pp.
ps.gz (3.8 MB)
pdf (709.9 KB)

High-order schemes for CFD: A review

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

2009-3 50 pp.
ps.gz (2.5 MB)
pdf (216.4 KB)

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

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

2009-2 57 pp.
ps.gz (23.1 MB)
pdf (15.8 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 2009-01-27

2009-1 36 pp.
ps.gz (3.4 MB)
pdf (188.8 KB)