A Third-Order Semidiscrete Central Scheme for Conservation Laws and Convection-Diffusion Equations

SIAM Journal on Scientific Computing ◽

10.1137/s1064827599360236 ◽

2000 ◽

Vol 22 (4) ◽

pp. 1461-1488 ◽

Author(s):

Alexander Kurganov ◽

Doron Levy

Keyword(s):

Conservation Laws ◽

Diffusion Equations ◽

Third Order ◽

Convection Diffusion ◽

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Flux-corrected transport for scalar hyperbolic conservation laws and convection-diffusion equations by using linear programming

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109874 ◽

2021 ◽

Vol 425 ◽

pp. 109874

Author(s):

Sergii Kivva

Keyword(s):

Linear Programming ◽

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Diffusion Equations ◽

Hyperbolic Conservation ◽

Convection Diffusion ◽

Flux Corrected Transport

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New High-Resolution Central Schemes for Nonlinear Conservation Laws and Convection–Diffusion Equations

Journal of Computational Physics ◽

10.1006/jcph.2000.6459 ◽

2000 ◽

Vol 160 (1) ◽

pp. 241-282 ◽

Author(s):

Alexander Kurganov ◽

Eitan Tadmor

Keyword(s):

High Resolution ◽

Conservation Laws ◽

Diffusion Equations ◽

Convection Diffusion ◽

Nonlinear Conservation Laws ◽

Central Schemes

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Fitted finite difference method for third order singularly perturbed convection diffusion equations with integral boundary condition

Arab Journal of Mathematical Sciences ◽

10.1016/j.ajmsc.2018.10.002 ◽

2019 ◽

Vol 25 (2) ◽

pp. 231-242

Author(s):

Velusamy Raja ◽

Ayyadurai Tamilselvan

Keyword(s):

Boundary Condition ◽

Finite Difference ◽

Finite Difference Method ◽

Difference Method ◽

Singularly Perturbed ◽

Integral Boundary Condition ◽

Diffusion Equations ◽

Third Order ◽

Integral Boundary ◽

Convection Diffusion

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A third-order semi-discrete genuinely multidimensional central scheme for hyperbolic conservation laws and related problems

Numerische Mathematik ◽

10.1007/pl00005455 ◽

2001 ◽

Vol 88 (4) ◽

pp. 683-729 ◽

Author(s):

Alexander Kurganov ◽

Guergana Petrova

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Third Order ◽

Hyperbolic Conservation ◽

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On the total variation of a third-order semi-discrete central scheme for 1D conservation laws

Journal of Vibration and Control ◽

10.1177/1077546310378870 ◽

2010 ◽

Vol 17 (9) ◽

pp. 1348-1358 ◽

Author(s):

Mehdi Dehghan ◽

Rooholah Jazlanian

Keyword(s):

Conservation Laws ◽

Total Variation ◽

Third Order ◽

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Bound-Preserving High Order Finite Volume Schemes for Conservation Laws and Convection-Diffusion Equations

Springer Proceedings in Mathematics & Statistics - Finite Volumes for Complex Applications VIII - Methods and Theoretical Aspects ◽

10.1007/978-3-319-57397-7_1 ◽

2017 ◽

pp. 3-14 ◽

Author(s):

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Diffusion Equations ◽

Finite Volume Schemes ◽

Convection Diffusion

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Third order maximum-principle-satisfying direct discontinuous Galerkin methods for time dependent convection diffusion equations on unstructured triangular meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2015.12.039 ◽

2016 ◽

Vol 308 ◽

pp. 198-217 ◽

Author(s):

Zheng Chen ◽

Hongying Huang ◽

Jue Yan

Keyword(s):

Maximum Principle ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Time Dependent ◽

Diffusion Equations ◽

Galerkin Methods ◽

Triangular Meshes ◽

Third Order ◽

Convection Diffusion

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Maximum-principle-preserving third-order local discontinuous Galerkin method for convection-diffusion equations on overlapping meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2018.10.034 ◽

2019 ◽

Vol 377 ◽

pp. 117-141 ◽

Author(s):

Jie Du ◽

Yang Yang

Keyword(s):

Maximum Principle ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Local Discontinuous Galerkin Method ◽

Diffusion Equations ◽

Third Order ◽

Convection Diffusion ◽

Local Discontinuous Galerkin

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A Third Order Method for Convection-Diffusion Equations with a Delay Term

Numerical Mathematics and Advanced Applications ◽

10.1007/978-3-540-69777-0_33 ◽

2008 ◽

pp. 281-288

Author(s):

J. Frochte

Keyword(s):

Diffusion Equations ◽

Order Method ◽

Third Order ◽

Convection Diffusion

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Third order nonoscillatory central scheme for hyperbolic conservation laws

Numerische Mathematik ◽

10.1007/s002110050345 ◽

1998 ◽

Vol 79 (3) ◽

pp. 397-425 ◽

Author(s):

Xu-Dong Liu ◽

Eitan Tadmor

Keyword(s):

Conservation Laws ◽

Hyperbolic Conservation Laws ◽

Third Order ◽

Hyperbolic Conservation ◽

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