Efficient implementation of essentially non-oscillatory shock-capturing schemes

Authors:
Chi-Wang Shu;Stanley Osher
Affiliations:
Univ. of Minnesota, Minneapolis;Univ. of Californa, Los Angeles
Venue:
Journal of Computational Physics
Year:
1988

Citing 0
Cited 402

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Journal of Computational and Applied Mathematics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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ACM SIGGRAPH 2011 Courses
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational and Applied Mathematics
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Journal of Computational Physics
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SIAM Journal on Numerical Analysis
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SIAM Journal on Scientific Computing
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SIAM Journal on Scientific Computing
High Order Finite Difference WENO Schemes for Nonlinear Degenerate Parabolic Equations

SIAM Journal on Scientific Computing
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SIAM Journal on Numerical Analysis
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
Multi-dimensional limiting for high-order schemes including turbulence and combustion

Journal of Computational Physics
Positivity-preserving high order finite difference WENO schemes for compressible Euler equations

Journal of Computational Physics
The use of a Legendre pseudospectral viscosity technique to solve a class of nonlinear dynamic Hamilton-Jacobi equations

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Journal of Computational Physics
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Journal of Computational Physics
Maximum-Principle-Satisfying and Positivity-Preserving High Order Discontinuous Galerkin Schemes for Conservation Laws on Triangular Meshes

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A New Mapped Weighted Essentially Non-oscillatory Scheme

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Hybrid Well-balanced WENO Schemes with Different Indicators for Shallow Water Equations

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Journal of Computational Physics
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SIAM Journal on Scientific Computing
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SIAM Journal on Scientific Computing
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SIAM Journal on Numerical Analysis
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SIAM Journal on Scientific Computing
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Computational Physics
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Applied Numerical Mathematics
Lax-Friedrichs fast sweeping methods for steady state problems for hyperbolic conservation laws

Journal of Computational Physics
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Computers & Mathematics with Applications
A space-time smooth artificial viscosity method for nonlinear conservation laws

Journal of Computational Physics
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Journal of Computational Physics
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Journal of Scientific Computing
A Robust Reconstruction for Unstructured WENO Schemes

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Journal of Computational Physics
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Journal of Computational Physics
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Computers and Structures
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Journal of Computational Physics
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Journal of Computational Physics
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Journal of Scientific Computing
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Journal of Scientific Computing
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Advances in Computational Mathematics
Strong Stability for Runge---Kutta Schemes on a Class of Nonlinear Problems

Journal of Scientific Computing
Exactly well-balanced discontinuous Galerkin methods for the shallow water equations with moving water equilibrium

Journal of Computational Physics
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Journal of Computational Physics
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Computers & Mathematics with Applications
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Journal of Computational Physics
A gradient augmented level set method for unstructured grids

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A level set two-way wave equation approach for Eulerian interface tracking

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The generalized Riemann problems for compressible fluid flows: Towards high order

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Journal of Computational Physics
Some techniques for improving the resolution of finite difference component-wise WENO schemes for polydisperse sedimentation models

Applied Numerical Mathematics
Strong-stability-preserving, Hermite-Birkhoff time-discretization based on k step methods and 8-stage explicit Runge-Kutta methods of order 5 and 4

Journal of Computational and Applied Mathematics
Positivity-Preserving Well-Balanced Discontinuous Galerkin Methods for the Shallow Water Equations on Unstructured Triangular Meshes

Journal of Scientific Computing
A Numerical Method for Simulation of Microflows by Solving Directly Kinetic Equations with WENO Schemes

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Open boundary conditions for the Diffuse Interface Model in 1-D

Journal of Computational Physics

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