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Scientific Computing Group Reports -- 2008

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Title/Author(s)
ID Length Download

An improvement on a successive constraint method for lower bounds of parametric inf-sup stability constants

Y. Chen, J.S. Hesthaven, Y. Maday, and J. Rodriguez

2008-16 14 pp.
pdf (3.1 MB)
ps.gz (5.3 MB)

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

Y. Xu and C.-W. Shu

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

M.H. Carpenter, J. Nordstrom, and D. Gottlieb

2008-14 51 pp.
pdf (854.7 KB)
ps.gz (6.9 MB)

Galerkin method for wave equations with uncertain coefficients

D Gottlieb and D Xiu

2008-13 17 pp.

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

A Chertock, D Gottlieb and A Solonomoff

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

S. Chun and J. S. Hesthaven

2008-11 21 pp.
pdf (417.6 KB)
ps.gz (2.2 MB)

Superconvergence of Local Discontinuous Galerkin Methods for Convection-Diffusion Equations

Y. Cheng and C.-W. Shu

2008-10 48 pp.
pdf (280.8 KB)
ps.gz (153.3 KB)

High Order Strong Stability Preserving Time Discretizations

S. Gottlieb, D.I. Ketcheson, and C.-W. Shu

2008-9 47 pp.
pdf (284.4 KB)
ps.gz (4.1 MB)

Discontinuous Galerkin Methods: General Approach and Stability

C.-W. Shu

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

L. Huang, C.-W. Shu and M. Zhang

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

W. Wang and C.-W. Shu

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

J. Cheng adn C.-W. Shu

2008-5 20 pp.
pdf (1.2 MB)
ps.gz (1.1 MB)

Polymorphic Nodal Elements and their Application in Discontinuous Galerkin Methods

G.J. Gassner, F. Lorcher, C.-D. Munz and J.S. Hesthaven

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

Y. Xu and C.-W. Shu

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

W. Chen, S.C. Wong, C.-W. Shu adn P. Zhang

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

Z. Xu, Y. Liu, and C.-W. Shu

2008-1 22 pp.
pdf (791.9 KB)
ps.gz (466.4 KB)