How to Solve Systems of Conservation Laws Numerically Using the Graphics Processor as a High-Performance Computational Engine

Geometric Modelling, Numerical Simulation, and Optimization ◽

10.1007/978-3-540-68783-2_8 ◽

2007 ◽

pp. 211-264 ◽

Cited By ~ 7

Author(s):

Trond Runar Hagen ◽

Martin O. Henriksen ◽

Jon M. Hjelmervik ◽

Knut-Andreas Lie

Keyword(s):

Conservation Laws ◽

High Performance ◽

Graphics Processor ◽

Systems Of Conservation Laws

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Systems of Conservation Laws 1

10.1017/cbo9780511612374 ◽

1999 ◽

Cited By ~ 214

Author(s):

Denis Serre

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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Hermite WENO limiting for multi-moment finite-volume methods using the ADER-DT time discretization for 1-D systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.11.017 ◽

2015 ◽

Vol 282 ◽

pp. 381-396 ◽

Cited By ~ 2

Author(s):

Matthew R. Norman

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Time Discretization ◽

Finite Volume Methods ◽

Systems Of Conservation Laws

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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New developments of delta shock waves and its applications in systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.015 ◽

2012 ◽

Vol 252 (11) ◽

pp. 5951-5993 ◽

Cited By ~ 81

Author(s):

Hanchun Yang ◽

Yanyan Zhang

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

New Developments ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes ◽

10.1134/s0001434621110365 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 972-975

Author(s):

Yu. G. Rykov

Keyword(s):

Conservation Laws ◽

Variational Formulation ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Computers & Fluids ◽

10.1016/j.compfluid.2009.03.002 ◽

2009 ◽

Vol 38 (9) ◽

pp. 1697-1709 ◽

Cited By ~ 8

Author(s):

V. Guinot

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Sensitivity Equations ◽

Systems Of Conservation Laws

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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/110836961 ◽

2012 ◽

Vol 50 (2) ◽

pp. 544-573 ◽

Cited By ~ 106

Author(s):

Ulrik S. Fjordholm ◽

Siddhartha Mishra ◽

Eitan Tadmor

Keyword(s):

Conservation Laws ◽

High Order ◽

Systems Of Conservation Laws ◽

Entropy Stable ◽

Essentially Nonoscillatory

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Viscous limits for a Riemannian problem to a class of systems of conservation laws

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2018-48-5-1721 ◽

2018 ◽

Vol 48 (5) ◽

pp. 1721-1741 ◽

Cited By ~ 1

Author(s):

Yanyan Zhang ◽

Yu Zhang

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.045 ◽

2016 ◽

Vol 315 ◽

pp. 98-123 ◽

Cited By ~ 1

Author(s):

F. Blachère ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Source Term ◽

Unstructured Meshes ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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Undercompressive Shocks in Systems of Conservation Laws

The IMA Volumes in Mathematics and Its Applications - Nonlinear Evolution Equations That Change Type ◽

10.1007/978-1-4613-9049-7_16 ◽

1990 ◽

pp. 218-231

Author(s):

Michael Shearer ◽

Stephen Schecter

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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