Compact Approximate Taylor Methods for Systems of Conservation Laws

Journal of Scientific Computing ◽

10.1007/s10915-019-01005-1 ◽

2019 ◽

Vol 80 (3) ◽

pp. 1832-1866

Author(s):

H. Carrillo ◽

C. Parés

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws ◽

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Multi-moment ADER-Taylor methods for systems of conservation laws with source terms in one dimension

Journal of Computational Physics ◽

10.1016/j.jcp.2012.05.029 ◽

2012 ◽

Vol 231 (20) ◽

pp. 6622-6642 ◽

Author(s):

M.R. Norman ◽

H. Finkel

Keyword(s):

Conservation Laws ◽

One Dimension ◽

Source Terms ◽

Systems Of Conservation Laws ◽

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Systems of Conservation Laws 1

10.1017/cbo9780511612374 ◽

1999 ◽

Author(s):

Denis Serre

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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Hermite WENO limiting for multi-moment finite-volume methods using the ADER-DT time discretization for 1-D systems of conservation laws

Journal of Computational Physics ◽

10.1016/j.jcp.2014.11.017 ◽

2015 ◽

Vol 282 ◽

pp. 381-396 ◽

Author(s):

Matthew R. Norman

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Time Discretization ◽

Finite Volume Methods ◽

Systems Of Conservation Laws

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On the uniqueness of solutions to hyperbolic systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2021.04.034 ◽

2021 ◽

Vol 291 ◽

pp. 110-153

Author(s):

Shyam Sundar Ghoshal ◽

Animesh Jana ◽

Konstantinos Koumatos

Keyword(s):

Conservation Laws ◽

Hyperbolic Systems ◽

Uniqueness Of Solutions ◽

Systems Of Conservation Laws

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New developments of delta shock waves and its applications in systems of conservation laws

Journal of Differential Equations ◽

10.1016/j.jde.2012.02.015 ◽

2012 ◽

Vol 252 (11) ◽

pp. 5951-5993 ◽

Author(s):

Hanchun Yang ◽

Yanyan Zhang

Keyword(s):

Shock Waves ◽

Conservation Laws ◽

New Developments ◽

Delta Shock ◽

Systems Of Conservation Laws ◽

Delta Shock Waves

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Variational Formulation of the Problem of Finding Generalized Solutions for Quasilinear Hyperbolic Systems of Conservation Laws

Mathematical Notes ◽

10.1134/s0001434621110365 ◽

2021 ◽

Vol 110 (5-6) ◽

pp. 972-975

Author(s):

Yu. G. Rykov

Keyword(s):

Conservation Laws ◽

Variational Formulation ◽

Hyperbolic Systems ◽

Generalized Solutions ◽

Quasilinear Hyperbolic Systems ◽

Systems Of Conservation Laws

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Upwind finite volume solution of sensitivity equations for hyperbolic systems of conservation laws with discontinuous solutions

Computers & Fluids ◽

10.1016/j.compfluid.2009.03.002 ◽

2009 ◽

Vol 38 (9) ◽

pp. 1697-1709 ◽

Author(s):

V. Guinot

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Hyperbolic Systems ◽

Discontinuous Solutions ◽

Sensitivity Equations ◽

Systems Of Conservation Laws

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Arbitrarily High-order Accurate Entropy Stable Essentially Nonoscillatory Schemes for Systems of Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/110836961 ◽

2012 ◽

Vol 50 (2) ◽

pp. 544-573 ◽

Author(s):

Ulrik S. Fjordholm ◽

Siddhartha Mishra ◽

Eitan Tadmor

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws ◽

Entropy Stable ◽

Essentially Nonoscillatory

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Viscous limits for a Riemannian problem to a class of systems of conservation laws

Rocky Mountain Journal of Mathematics ◽

10.1216/rmj-2018-48-5-1721 ◽

2018 ◽

Vol 48 (5) ◽

pp. 1721-1741 ◽

Author(s):

Yanyan Zhang ◽

Yu Zhang

Keyword(s):

Conservation Laws ◽

Systems Of Conservation Laws

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An admissibility and asymptotic-preserving scheme for systems of conservation laws with source term on 2D unstructured meshes

Journal of Computational Physics ◽

10.1016/j.jcp.2016.03.045 ◽

2016 ◽

Vol 315 ◽

pp. 98-123 ◽

Author(s):

F. Blachère ◽

R. Turpault

Keyword(s):

Conservation Laws ◽

Source Term ◽

Unstructured Meshes ◽

Asymptotic Preserving ◽

Systems Of Conservation Laws ◽

Asymptotic Preserving Scheme

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