Numerical Methods for Hyperbolic Conservation Laws with Stiff Relaxation II. Higher-Order Godunov Methods

Richard B. Pember

doi:10.1137/0914052

Numerical Methods for Hyperbolic Conservation Laws with Stiff Relaxation II. Higher-Order Godunov Methods

SIAM Journal on Scientific Computing ◽

10.1137/0914052 ◽

1993 ◽

Vol 14 (4) ◽

pp. 824-859 ◽

Cited By ~ 51

Author(s):

Richard B. Pember

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Higher Order ◽

Hyperbolic Conservation ◽

Godunov Methods ◽

Stiff Relaxation

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Numerical Methods for Hyperbolic Conservation Laws With Stiff Relaxation I. Spurious Solutions

SIAM Journal on Applied Mathematics ◽

10.1137/0153062 ◽

1993 ◽

Vol 53 (5) ◽

pp. 1293-1330 ◽

Cited By ~ 70

Author(s):

Richard B. Pember

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Spurious Solutions ◽

Stiff Relaxation

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Higher order Godunov methods for general systems of hyperbolic conservation laws

Journal of Computational Physics ◽

10.1016/0021-9991(89)90054-5 ◽

1989 ◽

Vol 82 (2) ◽

pp. 362-397 ◽

Cited By ~ 124

Author(s):

John B Bell ◽

Phillip Colella ◽

John A Trangenstein

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Higher Order ◽

Hyperbolic Conservation ◽

General Systems ◽

Godunov Methods

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Embedded turbulence model in numerical methods for hyperbolic conservation laws

International Journal for Numerical Methods in Fluids ◽

10.1002/fld.328 ◽

2002 ◽

Vol 39 (9) ◽

pp. 763-781 ◽

Cited By ~ 25

Author(s):

D. Drikakis

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Turbulence Model ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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On Numerical Methods for Hyperbolic Conservation Laws and Related Equations Modelling Sedimentation of Solid-Liquid Suspensions

Springer Proceedings in Mathematics & Statistics - Hyperbolic Conservation Laws and Related Analysis with Applications ◽

10.1007/978-3-642-39007-4_2 ◽

2013 ◽

pp. 23-68 ◽

Cited By ~ 1

Author(s):

F. Betancourt ◽

R. Bürger ◽

R. Ruiz-Baier ◽

H. Torres ◽

C. A. Vega

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Liquid Suspensions ◽

Solid Liquid

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Development of new and modified numerical methods for hyperbolic conservation laws

Numerical Heat Transfer Part B Fundamentals ◽

10.1080/10407790.2019.1665443 ◽

2019 ◽

Vol 76 (4) ◽

pp. 224-251 ◽

Cited By ~ 1

Author(s):

Yasir Nawaz

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation

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High order numerical methods for networks of hyperbolic conservation laws coupled with ODEs and lumped parameter models

Journal of Computational Physics ◽

10.1016/j.jcp.2016.10.003 ◽

2016 ◽

Vol 327 ◽

pp. 678-699 ◽

Cited By ~ 8

Author(s):

Raul Borsche ◽

Jochen Kall

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Hyperbolic Conservation ◽

Lumped Parameter ◽

Lumped Parameter Models

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Higher order accuracy finite-difference schemes for hyperbolic conservation laws

International Journal for Numerical Methods in Engineering ◽

10.1002/nme.1620180706 ◽

1982 ◽

Vol 18 (7) ◽

pp. 1019-1029 ◽

Cited By ~ 3

Author(s):

A. Sivasankara Reddy

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Higher Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Order Accuracy ◽

Hyperbolic Conservation

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Runge-Kutta Methods for Hyperbolic Conservation Laws with Stiff Relaxation Terms

Journal of Computational Physics ◽

10.1006/jcph.1995.1196 ◽

1995 ◽

Vol 122 (1) ◽

pp. 51-67 ◽

Cited By ~ 139

Author(s):

Shi Jin

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Runge Kutta ◽

Stiff Relaxation

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The technique of MIEELDLD as a measure of the shock-capturing property of numerical methods for hyperbolic conservation laws

Progress in Computational Fluid Dynamics An International Journal ◽

10.1504/pcfd.2015.070441 ◽

2015 ◽

Vol 15 (4) ◽

pp. 247 ◽

Cited By ~ 2

Author(s):

A.R. Appadu ◽

S.N. Neossi Nguetchue

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Shock Capturing ◽

Hyperbolic Conservation

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Numerical Schemes for Hyperbolic Conservation Laws with Stiff Relaxation Terms

Journal of Computational Physics ◽

10.1006/jcph.1996.0149 ◽

1996 ◽

Vol 126 (2) ◽

pp. 449-467 ◽

Cited By ~ 133

Author(s):

Shi Jin ◽

C.David Levermore

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Numerical Schemes ◽

Hyperbolic Conservation ◽

Stiff Relaxation

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