Error Estimates of Approximate Solutions for Nonlinear Scalar Conservation Laws

Hyperbolic Problems: Theory, Numerics, Applications ◽

10.1007/978-3-0348-8372-6_41 ◽

2001 ◽

pp. 873-882

Author(s):

Tao Tang

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

Approximate Solutions ◽

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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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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A priori error estimates for numerical methods for scalar conservation laws. Part I: The general approach

Mathematics of Computation ◽

10.1090/s0025-5718-96-00701-6 ◽

1996 ◽

Vol 65 (214) ◽

pp. 533-574 ◽

Author(s):

Bernardo Cockburn ◽

Pierre-Alain Gremaud

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Error Estimates ◽

A Priori ◽

A Priori Error Estimates ◽

Scalar Conservation Laws ◽

Priori Error Estimates ◽

Scalar Conservation

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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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A priori error estimates for numerical methods for scalar conservation laws. Part II : flux-splitting monotone schemes on irregular Cartesian grids

Mathematics of Computation ◽

10.1090/s0025-5718-97-00838-7 ◽

1997 ◽

Vol 66 (218) ◽

pp. 547-573 ◽

Author(s):

Bernardo Cockburn ◽

Pierre-Alain Gremaud

Keyword(s):

Numerical Methods ◽

Conservation Laws ◽

Error Estimates ◽

A Priori ◽

A Priori Error Estimates ◽

Scalar Conservation Laws ◽

Cartesian Grids ◽

Flux Splitting ◽

Priori Error Estimates ◽

Scalar Conservation

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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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Two A Posteriori Error Estimates for One-Dimensional Scalar Conservation Laws

SIAM Journal on Numerical Analysis ◽

10.1137/s0036142999350383 ◽

2000 ◽

Vol 38 (3) ◽

pp. 964-988 ◽

Author(s):

Laurent Gosse ◽

Charalambos Makridakis

Keyword(s):

Conservation Laws ◽

Error Estimates ◽

A Posteriori Error Estimates ◽

Posteriori Error ◽

A Posteriori ◽

Scalar Conservation Laws ◽

A Posteriori Error ◽

One Dimensional ◽

Scalar Conservation

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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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CONVERGENCE OF APPROXIMATE SOLUTIONS TO SCALAR CONSERVATION LAWS BY DEGENERATE DIFFUSION

Communications of the Korean Mathematical Society ◽

10.4134/ckms.2007.22.1.145 ◽

2007 ◽

Vol 22 (1) ◽

pp. 145-155

Author(s):

Seok Hwang

Keyword(s):

Conservation Laws ◽

Approximate Solutions ◽

Degenerate Diffusion ◽

Scalar Conservation Laws ◽

Scalar Conservation ◽

Convergence Of Approximate Solutions

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