A Total Variation Diminishing-Projection Method for Solving Implicit Numerical Schemes for Scalar Conservation Laws: A Numerical Study of a Simple Case

SIAM Journal on Scientific and Statistical Computing ◽

10.1137/0910018 ◽

1989 ◽

Vol 10 (2) ◽

pp. 253-273

Author(s):

A. Bourgeat ◽

Bernardo Cockburn

Keyword(s):

Conservation Laws ◽

Total Variation ◽

Projection Method ◽

Numerical Study ◽

Scalar Conservation Laws ◽

Numerical Schemes ◽

Total Variation Diminishing ◽

Variation Diminishing ◽

Scalar Conservation

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Total variation diminishing schemes in optimal control of scalar conservation laws

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drx073 ◽

2017 ◽

Vol 39 (1) ◽

pp. 105-140 ◽

Author(s):

Soheil Hajian ◽

Michael Hintermüller ◽

Stefan Ulbrich

Keyword(s):

Optimal Control ◽

Conservation Laws ◽

Total Variation ◽

Scalar Conservation Laws ◽

Total Variation Diminishing ◽

Variation Diminishing ◽

Scalar Conservation

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A Genuinely High Order Total Variation Diminishing Scheme for One-Dimensional Scalar Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/090764384 ◽

2010 ◽

Vol 48 (2) ◽

pp. 772-795 ◽

Author(s):

Xiangxiong Zhang ◽

Chi-Wang Shu

Keyword(s):

Conservation Laws ◽

Total Variation ◽

Scalar Conservation Laws ◽

Total Variation Diminishing ◽

One Dimensional ◽

Variation Diminishing ◽

Scalar Conservation

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On the range diminishing property of numerical schemes for scalar conservation laws

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2020.113013 ◽

2021 ◽

Vol 381 ◽

pp. 113013

Author(s):

A.J. Kriel

Keyword(s):

Conservation Laws ◽

Scalar Conservation Laws ◽

Numerical Schemes ◽

Scalar Conservation

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Comparison of Some Flux Corrected Transport and Total Variation Diminishing Numerical Schemes for Hydrodynamic and Magnetohydrodynamic Problems

Journal of Computational Physics ◽

10.1006/jcph.1996.0197 ◽

1996 ◽

Vol 128 (1) ◽

pp. 82-100 ◽

Author(s):

Gábor Tóth ◽

Dušan Odstrčil

Keyword(s):

Total Variation ◽

Numerical Schemes ◽

Total Variation Diminishing ◽

Variation Diminishing ◽

Flux Corrected Transport

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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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Total variation diminishing nonstandard finite difference schemes for conservation laws

Mathematical and Computer Modelling ◽

10.1016/j.mcm.2009.08.038 ◽

2010 ◽

Vol 51 (3-4) ◽

pp. 160-166 ◽

Author(s):

Roumen Anguelov ◽

Jean M.-S. Lubuma ◽

Froduald Minani

Keyword(s):

Finite Difference ◽

Conservation Laws ◽

Total Variation ◽

Difference Schemes ◽

Finite Difference Schemes ◽

Total Variation Diminishing ◽

Variation Diminishing ◽

Nonstandard Finite Difference

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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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Performance of a real coded genetic algorithm for the calibration of scalar conservation laws

ANZIAM Journal ◽

10.21914/anziamj.v58i0.9813 ◽

2016 ◽

Vol 58 ◽

pp. 51

Author(s):

Stefan Berres ◽

A. Coronel ◽

R. Lagos ◽

M. Sepúlveda

Keyword(s):

Genetic Algorithm ◽

Conservation Laws ◽

Scalar Conservation Laws ◽

Real Coded Genetic Algorithm ◽

Scalar Conservation

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Stepsize Restrictions for the Total-Variation-Diminishing Property in General Runge--Kutta Methods

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142902415584 ◽

2004 ◽

Vol 42 (3) ◽

pp. 1073-1093 ◽

Author(s):

L. Ferracina ◽

M. N. Spijker

Keyword(s):

Total Variation ◽

Total Variation Diminishing ◽

Variation Diminishing ◽

Variation Diminishing Property ◽

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Existence and Uniqueness of Entropy Solution of Scalar Conservation Laws with a Flux Function Involving Discontinuous Coefficients

Communications in Partial Differential Equations ◽

10.1080/03605300500358095 ◽

2006 ◽

Vol 31 (3) ◽

pp. 371-395 ◽

Author(s):

Florence Bachmann ◽

Julien Vovelle

Keyword(s):

Conservation Laws ◽

Existence And Uniqueness ◽

Entropy Solution ◽

Discontinuous Coefficients ◽

Scalar Conservation Laws ◽

Flux Function ◽

Scalar Conservation

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