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Splitting based finite volume schemes for ideal MHD equations

Journal of computational physics, 2009-02, Vol.228 (3), p.641-660

2009

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High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres

Journal of computational physics, 2010-06, Vol.229 (11), p.4033-4058

2010

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A nonlocal Lagrangian traffic flow model and the zero-filter limit

Zeitschrift für angewandte Mathematik und Physik, 2024-04, Vol.75 (2), Article Paper No. 66, 31

2024

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Numerical schemes for computing discontinuous solutions of the Degasperis–Procesi equation

IMA journal of numerical analysis, 2008-01, Vol.28 (1), p.80-105

2008

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Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws

Mathematics of computation, 2010-01, Vol.79 (269), p.71-94

2010

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A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain

BIT, 2017-03, Vol.57 (1), p.93-122

2017

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Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient

IMA journal of numerical analysis, 2002-10, Vol.22 (4), p.623-664

2002

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Convergent difference schemes for the Hunter--Saxton equation

Mathematics of computation, 2007-04, Vol.76 (258), p.699-744

2007

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A CONVERGENT DIFFERENCE SCHEME FOR A CLASS OF PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS MODELING PRICING UNDER UNCERTAINTY

SIAM journal on numerical analysis, 2016-01, Vol.54 (2), p.588-605

2016

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A convergent finite-difference method for a nonlinear variational wave equation

IMA journal of numerical analysis, 2009-07, Vol.29 (3), p.539-572

2009

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Numerical methods for conservation laws with rough flux

Stochastic partial differential equations : analysis and computations, 2020-03, Vol.8 (1), p.186-261

2020

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A relaxation scheme for conservation laws with a discontinuous coefficient

Mathematics of computation, 2004-07, Vol.73 (247), p.1235-1259

2004

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L^1 error estimates for difference approximations of degenerate convection-diffusion equations

Mathematics of computation, 2014-11, Vol.83 (290), p.2717

2014

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An error estimate for the finite difference approximation to degenerate convection–diffusion equations

Numerische Mathematik, 2012-06, Vol.121 (2), p.367-395

2012

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Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media

Computational geosciences, 2014-10, Vol.18 (5), p.637-659

2014

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A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General $H^1$ Initial Data

SIAM journal on numerical analysis, 2008-01, Vol.46 (3), p.1554-1579

2008

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Higher-order finite difference schemes for the magnetic induction equations with resistivity

IMA journal of numerical analysis, 2012-07, Vol.32 (3), p.1173-1193

2012

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Semi-Godunov schemes for multiphase flows in porous media

Applied numerical mathematics, 2009-09, Vol.59 (9), p.2322-2336

2009

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Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units

Numerische Mathematik, 2004-03, Vol.97 (1), p.25-65

2004

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Conservation laws with a random source

Applied mathematics & optimization, 1997-09, Vol.36 (2), p.229-241

1997

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Path-dependent convex conservation laws

Journal of Differential Equations, 2018-09, Vol.265 (6), p.2708-2744

2018

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A note on front tracking for the Keyfitz–Kranzer system

Journal of mathematical analysis and applications, 2013-11, Vol.407 (2), p.190-199

2013

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A front tracking method for conservation laws in one dimension

Journal of computational physics, 1992-07, Vol.101 (1), p.130-139

1992

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Operator splitting for the Benjamin–Ono equation

Journal of Differential Equations, 2015-12, Vol.259 (11), p.6694-6717

2015

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A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units

Nonlinear analysis: real world applications, 2003-09, Vol.4 (3), p.457-481

2003

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Splitting based finite volume schemes for ideal MHD equations

High order well-balanced finite volume schemes for simulating wave propagation in stratified magnetic atmospheres

A nonlocal Lagrangian traffic flow model and the zero-filter limit

Numerical schemes for computing discontinuous solutions of the Degasperis–Procesi equation

Convergence of an Engquist-Osher scheme for a multi-dimensional triangular system of conservation laws

A convergent finite difference scheme for the Ostrovsky-Hunter equation on a bounded domain

Upwind difference approximations for degenerate parabolic convection–diffusion equations with a discontinuous coefficient

Convergent difference schemes for the Hunter--Saxton equation

A CONVERGENT DIFFERENCE SCHEME FOR A CLASS OF PARTIAL INTEGRO-DIFFERENTIAL EQUATIONS MODELING PRICING UNDER UNCERTAINTY

A convergent finite-difference method for a nonlinear variational wave equation

Numerical methods for conservation laws with rough flux

A relaxation scheme for conservation laws with a discontinuous coefficient

L^1 error estimates for difference approximations of degenerate convection-diffusion equations

An error estimate for the finite difference approximation to degenerate convection–diffusion equations

Analysis and numerical approximation of Brinkman regularization of two-phase flows in porous media

A Convergent Finite Difference Scheme for the Camassa–Holm Equation with General $H^1$ Initial Data

Higher-order finite difference schemes for the magnetic induction equations with resistivity

Semi-Godunov schemes for multiphase flows in porous media

Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units

Conservation laws with a random source

Path-dependent convex conservation laws

A note on front tracking for the Keyfitz–Kranzer system

A front tracking method for conservation laws in one dimension

Operator splitting for the Benjamin–Ono equation

A front tracking approach to a model of continuous sedimentation in ideal clarifier–thickener units

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