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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

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

Download Full-text

On nonlocal monotone difference schemes for scalar conservation laws

Mathematics of Computation ◽

10.1090/s0025-5718-1986-0842121-6 ◽

1986 ◽

Vol 47 (175) ◽

pp. 19-19 ◽

Author(s):

Bradley J. Lucier

Keyword(s):

Conservation Laws ◽

Difference Schemes ◽

Scalar Conservation Laws ◽

Scalar Conservation

Download Full-text

Derivation of the discrete conservation laws for a family of finite difference schemes

Applied Mathematics and Computation ◽

10.1016/0096-3003(94)90137-6 ◽

1994 ◽

Vol 64 (1) ◽

pp. 13-45 ◽

Author(s):

Salvador Jiménez

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Discrete Conservation Laws

Download Full-text