Finite volume schemes for hyperbolic balance laws with multiplicative noise

Applied Numerical Mathematics ◽

10.1016/j.apnum.2011.01.011 ◽

2012 ◽

Vol 62 (4) ◽

pp. 441-456 ◽

Author(s):

I. Kröker ◽

C. Rohde

Keyword(s):

Finite Volume ◽

Multiplicative Noise ◽

Balance Laws ◽

Finite Volume Schemes ◽

Hyperbolic Balance Laws

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Finite volume schemes of very high order of accuracy for stiff hyperbolic balance laws

Journal of Computational Physics ◽

10.1016/j.jcp.2007.12.005 ◽

2008 ◽

Vol 227 (8) ◽

pp. 3971-4001 ◽

Author(s):

Michael Dumbser ◽

Cedric Enaux ◽

Eleuterio F. Toro

Keyword(s):

Finite Volume ◽

Balance Laws ◽

Finite Volume Schemes ◽

Order Of Accuracy ◽

Hyperbolic Balance Laws ◽

High Order Of Accuracy ◽

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High order finite volume schemes for balance laws with stiff relaxation

Computers & Fluids ◽

10.1016/j.compfluid.2017.10.009 ◽

2018 ◽

Vol 169 ◽

pp. 155-168 ◽

Author(s):

S. Boscarino ◽

G. Russo ◽

M. Semplice

Keyword(s):

Finite Volume ◽

Balance Laws ◽

Finite Volume Schemes ◽

Stiff Relaxation

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Consistency of finite volume approximations to nonlinear hyperbolic balance laws

Mathematics of Computation ◽

10.1090/mcom/3569 ◽

2020 ◽

Vol 90 (327) ◽

pp. 141-169

Author(s):

Matania Ben-Artzi ◽

Jiequan Li

Keyword(s):

Finite Volume ◽

Balance Laws ◽

Hyperbolic Balance Laws

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High order well-balanced finite volume methods for multi-dimensional systems of hyperbolic balance laws

Computers & Fluids ◽

10.1016/j.compfluid.2021.104858 ◽

2021 ◽

Vol 219 ◽

pp. 104858

Author(s):

Jonas P. Berberich ◽

Praveen Chandrashekar ◽

Christian Klingenberg

Keyword(s):

Finite Volume ◽

Finite Volume Methods ◽

Balance Laws ◽

Hyperbolic Balance Laws

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Finite volume schemes for balance laws on time-dependent surfaces

Numerical Methods for Hyperbolic Equations ◽

10.1201/b14172-34 ◽

2012 ◽

pp. 251-258 ◽

Author(s):

Jan Giesselmann ◽

Maria Wiebe

Keyword(s):

Finite Volume ◽

Time Dependent ◽

Balance Laws ◽

Finite Volume Schemes

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Error Estimates for Finite Volume Approximations of Classical Solutions for Nonlinear Systems of Hyperbolic Balance Laws

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142903438136 ◽

2006 ◽

Vol 43 (6) ◽

pp. 2423-2449 ◽

Author(s):

Vladimir Jovanovic ◽

Christian Rohde

Keyword(s):

Nonlinear Systems ◽

Error Estimates ◽

Finite Volume ◽

Classical Solutions ◽

Balance Laws ◽

Hyperbolic Balance Laws

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Convergence of monotone finite volume schemes for hyperbolic scalar conservation laws with multiplicative noise

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-015-0052-z ◽

2015 ◽

Vol 4 (1) ◽

pp. 150-223 ◽

Author(s):

C. Bauzet ◽

J. Charrier ◽

T. Gallouët

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Multiplicative Noise ◽

Scalar Conservation Laws ◽

Finite Volume Schemes ◽

Scalar Conservation

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Design and Verification Methodology of Boundary Conditions for Finite Volume Schemes

10.21236/ada591830 ◽

2012 ◽

Author(s):

D. Folkner ◽

A. Katz ◽

V. Sankaran

Keyword(s):

Boundary Conditions ◽

Finite Volume ◽

Finite Volume Schemes ◽

Verification Methodology

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Uniqueness of Solutions to Hyperbolic Balance Laws in Several Space Dimensions

Communications in Partial Differential Equations ◽

10.1080/03605308908820638 ◽

1989 ◽

Vol 14 (8-9) ◽

pp. 959-979 ◽

Author(s):

Hermano Frid

Keyword(s):

Balance Laws ◽

Uniqueness Of Solutions ◽

Hyperbolic Balance Laws

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ADER finite volume schemes for nonlinear reaction–diffusion equations

Applied Numerical Mathematics ◽

10.1016/j.apnum.2007.12.001 ◽

2009 ◽

Vol 59 (1) ◽

pp. 73-100 ◽

Author(s):

Eleuterio F. Toro ◽

Arturo Hidalgo

Keyword(s):

Finite Volume ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Finite Volume Schemes ◽

Nonlinear Reaction

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