Error bounds of finite difference schemes for multi-dimensional scalar conservation laws with source terms

IMA Journal of Numerical Analysis ◽

10.1093/imanum/19.1.77 ◽

1999 ◽

Vol 19 (1) ◽

pp. 77-89 ◽

Author(s):

W Shen

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Error Bounds ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Source Terms ◽

Scalar Conservation Laws ◽

Scalar Conservation

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Finite-difference schemes for scalar conservation laws with source terms

IMA Journal of Numerical Analysis ◽

10.1093/imanum/16.2.201 ◽

1996 ◽

Vol 16 (2) ◽

pp. 201-215 ◽

Author(s):

H. Schroll

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Source Terms ◽

Scalar Conservation Laws ◽

Scalar Conservation

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Total Variation Bounded Flux Limiters For High Order Finite Difference Schemes Solving Scalar Conservation Laws

10.37099/mtu.dc.etdr/842 ◽

2019 ◽

Author(s):

Sulin Wang

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Total Variation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Flux Limiters ◽

High Order Finite Difference

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Second order accurate upwind difference schemes for scalar conservation laws with source terms

Computers & Mathematics with Applications ◽

10.1016/0898-1221(93)90249-u ◽

1993 ◽

Vol 25 (4) ◽

pp. 65-73 ◽

Author(s):

P. Glaister

Keyword(s):

Conservation Laws ◽

Second Order ◽

Difference Schemes ◽

Source Terms ◽

Scalar Conservation Laws ◽

Scalar Conservation

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Total variation bounded flux limiters for high order finite difference schemes solving one-dimensional scalar conservation laws

Mathematics of Computation ◽

10.1090/mcom/3364 ◽

2018 ◽

Vol 88 (316) ◽

pp. 691-716 ◽

Author(s):

Sulin Wang ◽

Zhengfu Xu

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Total Variation ◽

Finite Difference Schemes ◽

Scalar Conservation Laws ◽

One Dimensional ◽

Scalar Conservation ◽

Flux Limiters ◽

High Order Finite Difference

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Arbitrarily Accurate Non-Oscillatory Schemes for Nonlinear Scalar Conservation Laws with Source Terms II

Computational Fluid Dynamics 2002 ◽

10.1007/978-3-642-59334-5_35 ◽

2003 ◽

pp. 247-252 ◽

Author(s):

Yoko Takakura ◽

Eleuterio F. Toro

Keyword(s):

Conservation Laws ◽

Source Terms ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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Chapter 3. Instability of Finite Difference Schemes for Hyperbolic Conservation Laws

Mathematical Aspects of Nonlinear Dispersive Equations (AM-163) ◽

10.1515/9781400827794.43 ◽

2009 ◽

pp. 43-54

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Conservation

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Convergence of finite difference schemes for viscous and inviscid conservation laws with rough coefficients

ESAIM Mathematical Modelling and Numerical Analysis ◽

10.1051/m2an:2001114 ◽

2001 ◽

Vol 35 (2) ◽

pp. 239-269 ◽

Author(s):

Kenneth Hvistendahl Karlsen ◽

Nils Henrik Risebro

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Rough Coefficients

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On the comparison of error bounds for finite difference schemes

Numerische Mathematik ◽

10.1007/bf01388700 ◽

1993 ◽

Vol 64 (1) ◽

pp. 477-486

Author(s):

B. B�ttgenbach ◽

H. Esser ◽

R. J. Nessel

Keyword(s):

Finite Difference ◽

Error Bounds ◽

Difference Schemes ◽

Finite Difference Schemes

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Implicit Monotone Difference Methods for Scalar Conservation Laws with Source Terms

Acta Mathematica Vietnamica ◽

10.1007/s40306-019-00354-1 ◽

2020 ◽

Vol 45 (3) ◽

pp. 709-738

Author(s):

Michael Breuß ◽

Andreas Kleefeld

Keyword(s):

Conservation Laws ◽

Source Terms ◽

Scalar Conservation Laws ◽

Difference Methods ◽

Scalar Conservation

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Error bounds for the large time step Glimm scheme applied to scalar conservation laws

Numerische Mathematik ◽

10.1007/s002110100335 ◽

2002 ◽

Vol 91 (1) ◽

pp. 13-34

Author(s):

Jinyang Huang ◽

Jinghua Wang ◽

Gerald Warnecke

Keyword(s):

Conservation Laws ◽

Error Bounds ◽

Scalar Conservation Laws ◽

Time Step ◽

Glimm Scheme ◽

Large Time Step ◽

Scalar Conservation

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