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Scientific Computing Group Reports -- 2006

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Title/Author(s)
ID Length Download

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

C.-W. Shu

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

S. Noelle, Y. Xing, and C.-W. Shu

2006-20 50 pp.
pdf (5.4 MB)
ps.gz (2.1 MB)

Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

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

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

Y. Cheng and C.-W. Shu

2006-18 44 pp.
ps.gz (125.9 KB)
pdf (752.4 KB)

Efficient Time-Discretization for Local Discontinuous Galerkin Methods

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

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

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

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

L. Lurati

2006-15 11 pp.
ps.gz (192.5 KB)
pdf (162.8 KB)

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

R. Borges, B. Costa, and W.S. Don

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

L. Huang, S.C. Wong, M. Zhang, C.-W. Shu, and W.H.K. Lam

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

L.-L. Feng, J.-M. Qiu, C.-W. Shu, and L.-Z. Fang

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

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

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

C.-S. Chou and C.-W. Shu

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

Y. Cheng and C.-W. Shu

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

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

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

J. Qiu and C.-W. Shu

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

S. Zhang and C.-W. Shu

2006-6 49 pp.
ps.gz (1.1 MB)
pdf (1.5 MB)

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

B. Costa and W.S. Don

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

Z. Xu and C.-W. Shu

2006-4 17 pp.
ps.gz (3.4 MB)
pdf (2.6 MB)

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

B. Costa and W.S. Don

2006-3 14 pp.
ps.gz (1.2 MB)
pdf (236.7 KB)

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

B. Costa, W.S. Don, D. Gottlieb, and R. Sendersky

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

J. Qiu, C.-W. Shu, L.-L. Feng, and L.-Z. Fang

2006-1 20 pp.
ps.gz (285.2 KB)
pdf (330.2 KB)