Local Piecewise Hyperbolic Reconstruction of Numerical Fluxes for Nonlinear Scalar Conservation Laws

SIAM Journal on Scientific Computing ◽

10.1137/0915054 ◽

1994 ◽

Vol 15 (4) ◽

pp. 892-915 ◽

Author(s):

Antonio Marquina

Keyword(s):

Conservation Laws ◽

Scalar Conservation Laws ◽

Numerical Fluxes ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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Discontinuous Galerkin Methods for Nonlinear Scalar Conservation Laws: Generalized Local Lax--Friedrichs Numerical Fluxes

SIAM Journal on Numerical Analysis ◽

10.1137/19m1243798 ◽

2020 ◽

Vol 58 (1) ◽

pp. 1-20 ◽

Author(s):

Jia Li ◽

Dazhi Zhang ◽

Xiong Meng ◽

Boying Wu ◽

Qiang Zhang

Keyword(s):

Conservation Laws ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Methods ◽

Galerkin Methods ◽

Scalar Conservation Laws ◽

Numerical Fluxes ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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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

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Genuinely Nonlinear Scalar Conservation Laws

Grundlehren der mathematischen Wissenschaften - Hyberbolic Conservation Laws in Continuum Physics ◽

10.1007/3-540-29089-3_11 ◽

2005 ◽

pp. 301-342

Keyword(s):

Conservation Laws ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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On L1 Convergence Rate of Viscous and Numerical Approximate Solutions of Genuinely Nonlinear Scalar Conservation Laws

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141097316408 ◽

1998 ◽

Vol 30 (1) ◽

pp. 38-52 ◽

Author(s):

Wei-Cheng Wang

Keyword(s):

Convergence Rate ◽

Conservation Laws ◽

Approximate Solutions ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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A numerical method for first order nonlinear scalar conservation laws in one-dimension

Computers & Mathematics with Applications ◽

10.1016/0898-1221(88)90282-9 ◽

1988 ◽

Vol 15 (6-8) ◽

pp. 595-602 ◽

Author(s):

H. Holden ◽

L. Holden ◽

R. Høegh-Krohn

Keyword(s):

Conservation Laws ◽

Numerical Method ◽

One Dimension ◽

Scalar Conservation Laws ◽

First Order ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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The Convergence Rate of Approximate Solutions for Nonlinear Scalar Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/0729087 ◽

1992 ◽

Vol 29 (6) ◽

pp. 1505-1519 ◽

Author(s):

Haim Nessyahu ◽

Eitan Tadmor

Keyword(s):

Convergence Rate ◽

Conservation Laws ◽

Approximate Solutions ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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A Priori Error Estimates for Nonlinear Scalar Conservation Laws

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8720-5_19 ◽

1999 ◽

pp. 167-176

Author(s):

Bernardo Cockburn ◽

Jimmy X. Yang ◽

Pierre-Alain Gremaud

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

A Priori ◽

A Priori Error Estimates ◽

Scalar Conservation Laws ◽

Priori Error Estimates ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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Rigorous Derivation of Nonlinear Scalar Conservation Laws from Follow-the-Leader Type Models via Many Particle Limit

Archive for Rational Mechanics and Analysis ◽

10.1007/s00205-015-0843-4 ◽

2015 ◽

Vol 217 (3) ◽

pp. 831-871 ◽

Author(s):

M. Di Francesco ◽

M.D. Rosini

Keyword(s):

Conservation Laws ◽

Rigorous Derivation ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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Recovery-Based Error Estimator for the Discontinuous Galerkin Method for Nonlinear Scalar Conservation Laws in One Space Dimension

Journal of Scientific Computing ◽

10.1007/s10915-015-0030-7 ◽

2015 ◽

Vol 66 (2) ◽

pp. 459-476 ◽

Author(s):

Mahboub Baccouch

Keyword(s):

Conservation Laws ◽

Galerkin Method ◽

Discontinuous Galerkin ◽

Discontinuous Galerkin Method ◽

Space Dimension ◽

Error Estimator ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws ◽

One Space Dimension

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Finite Volume Methods for Nonlinear Scalar Conservation Laws

Finite Volume Methods for Hyperbolic Problems ◽

10.1017/cbo9780511791253.013 ◽

2002 ◽

pp. 227-252

Keyword(s):

Conservation Laws ◽

Finite Volume ◽

Finite Volume Methods ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Nonlinear Scalar Conservation Laws

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