Brown Shield

Scientific Computing Group Reports -- 2007

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Title/Author(s)
ID Length Download

Development of Nonlinear Weighted Compact Schemes with Increasingly Higher Order Accuracy

S Zhang, S Jiang and C-W Shu

2007-22 42 pp.
pdf (21.1 MB)
ps.gz (3.0 MB)

Superconvergence and Time Evolution of Discontinuous Galerkin Finite Element Solutions

Y. Cheng and C.-W. Shu

2007-21 26 pp.
pdf (204.8 KB)
ps.gz (127.2 KB)

Partial Spherical Means for the 3+1 Wave Equation:Towards Face, Edge, and Corner Radiation Conditions

S Lau

2007-20 41 pp.
pdf (492.6 KB)
ps.gz (5.6 MB)

Rungeāˆ’Kutta discontinuous Galerkin method using WENO limiters II: unstructured meshes

J. Zhu, J. Qiu, C.-W. Shu, and M. Dumbser

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

Y. Xia, S.C. Wong, M. Zhang, C.-W. Shu, and W. H.K. Lam

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

R Abgrall and C.-W. Shu

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

Y. Xia, Y. Xu, and C.-W. Shu

2007-16 17 pp.
pdf (1.5 MB)
ps.gz (1.2 MB)

Third Order WENO Scheme on Three Dimensional Tetrahedral Meshes

Y.-T. Zhang and C.-W. Shu

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

W. Wang, X. Li, and C.-W. Shu

2007-14 41 pp.
pdf (2.1 MB)
ps.gz (6.1 MB)

A Second Order Discontinuous Galerkin Fast Sweeping Method for Eikonal Equations

F.Li, C.-W. Shu, Y.-T. Zhang and H. Zhao

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

J. Cheng and C.-W. Shu

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

T Hagstrom and S Lau

2007-11 33 pp.
pdf (308.1 KB)
ps.gz (3.8 MB)

Strong Stability Preserving Property of the Deferred Correction Time Discretization

Y. Liu, C.-W. Shu, and M. Zhang

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

Y. Lu, S.C. Wong, M. Zhang, and C.-W. Shu

2007-9 42 pp.
pdf (1016.2 KB)
ps.gz (1.6 MB)

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

J. Shen, C.-W. Shu and M. Zhang

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

Y. Liu, C.-W. Shu, E. Tadmor, and M. Zhang

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

J.-M. Qiu and C.-W. Shu

2007-6 40 pp.
pdf (950.7 KB)
ps.gz (1.0 MB)

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

L. Yuan and C.-W. Shu

2007-5 14 pp.
pdf (338.2 KB)
ps.gz (2.5 MB)

Local Discontinuous Galerkin Methods for the Cahn-Hilliard Type Equations

Y. Xia, Y. Xu, and C.-W. Shu

2007-4 28 pp.
ps.gz (3.7 MB)
pdf (4.8 MB)

A Local Discontinuous Galerkin Method for the Camassa-Holm Equation

Y. Xu and C.-W. Shu

2007-3 28 pp.
pdf (887.4 KB)
ps.gz (476.5 KB)

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

S. Curtis, R.M Kirby, J.K. Ryan, C.-W. Shu

2007-2 29 pp.
pdf (610.6 KB)
ps.gz (348.7 KB)

Multidomain Spectral Method for the Helically Reduced Wave Equation

S. R. Lau and R.H. Price

2007-1 52 pp.
pdf (1.2 MB)
ps.gz (6.4 MB)