Hyperbolic Conservation Laws, Finite Difference Schemes and Error Estimates

Nonlinear Hyperbolic Problems: Theoretical, Applied, and Computational Aspects ◽

10.1007/978-3-322-87871-7_68 ◽

1993 ◽

pp. 557-564

Author(s):

Aslak Tveito ◽

Ragnar Winther ◽

Trond Løvereide

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Error Estimates ◽

Hyperbolic Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Conservation

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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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Hybrid Compact-WENO Finite Difference Schemes for Hyperbolic Conservation Laws

31st International Symposium on Shock Waves 1 ◽

10.1007/978-3-319-91020-8_57 ◽

2019 ◽

pp. 491-496

Author(s):

W. S. Don

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Conservation

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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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Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

Advances in Applied Mathematics and Mechanics ◽

10.4208/aamm.oa-2017-0292 ◽

2018 ◽

Vol 10 (6) ◽

pp. 1418-1439 ◽

Cited By ~ 4

Author(s):

Wai Sun Don

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Symmetry Property ◽

Hyperbolic Conservation Laws ◽

High Order ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Conservation

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Seventh and ninth orders characteristic-wise alternative WENO finite difference schemes for hyperbolic conservation laws

Computers & Fluids ◽

10.1016/j.compfluid.2020.104519 ◽

2020 ◽

Vol 202 ◽

pp. 104519 ◽

Cited By ~ 1

Author(s):

Zhen Gao ◽

Li-Li Fang ◽

Bao-Shan Wang ◽

Yinghua Wang ◽

Wai Sun Don

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Hyperbolic Conservation

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Conservation laws and error estimates of several classical finite difference schemes for the nonlinear Schrödinger/Gross–Pitaevskii equation

Methods and Applications of Analysis ◽

10.4310/maa.2018.v25.n2.a2 ◽

2018 ◽

Vol 25 (2) ◽

pp. 97-116

Author(s):

Ting-Chun Wang ◽

Wen Zhang ◽

Chen-Yi Zhu

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Error Estimates ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Pitaevskii Equation ◽

Nonlinear Schrödinger

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A Posteriori Error Estimates for Numerical Solutions to Hyperbolic Conservation Laws

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-021-01653-4 ◽

2021 ◽

Author(s):

Alberto Bressan ◽

Maria Teresa Chiri ◽

Wen Shen

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

Hyperbolic Conservation Laws ◽

Numerical Solutions ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

A Posteriori Error ◽

Hyperbolic 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 ◽

Cited By ~ 12

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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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 ◽

Cited By ~ 35

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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Enhanced Robustness of the Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws with Multi-resolution Analysis and Tukey’s Boxplot Method

Journal of Scientific Computing ◽

10.1007/s10915-017-0465-0 ◽

2017 ◽

Vol 73 (2-3) ◽

pp. 736-752 ◽

Cited By ~ 4

Author(s):

Zhen Gao ◽

Xiao Wen ◽

Wai Sun Don

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Conservation Laws ◽

Finite Difference Scheme ◽

Hyperbolic Conservation Laws ◽

Hyperbolic Conservation ◽

Multi Resolution Analysis ◽

Resolution Analysis

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