Nils Henrik Risebro

SIAM J. Numer. Anal., 2022

Well-posedness theory for nonlinear scalar conservation laws on networks.

[BibT_eX]

[DOI]

Markus Musch

Ulrik Skre Fjordholm

Networks Heterog. Media, 2022

2020

Singular Diffusion with Neumann boundary conditions.

[BibT_eX]

[DOI]

CoRR, 2020

2019

Models for Dense Multilane Vehicular Traffic.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2019

Multilevel Monte Carlo Finite Volume Methods for Random Conservation Laws with Discontinuous Flux.

[BibT_eX]

[DOI]

Jayesh Badwaik

Christian Klingenberg

CoRR, 2019

Numerical investigations into a model of partially incompressible two-phase flow in pipes.

[BibT_eX]

[DOI]

Adrian Montgomery Ruf

CoRR, 2019

2018

Follow-the-Leader models can be viewed as a numerical approximation to the Lighthill-Whitham-Richards model for traffic flow.

[BibT_eX]

[DOI]

Networks Heterog. Media, 2018

2016

A Convergent Difference Scheme for a Class of Partial Integro-Differential Equations Modeling Pricing under Uncertainty.

[BibT_eX]

[DOI]

O. Reichmann

SIAM J. Numer. Anal., 2016

Convergence of finite difference schemes for the Benjamin-Ono equation.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

Numerical Solution of Scalar Conservation Laws with Random Flux Functions.

[BibT_eX]

[DOI]

SIAM/ASA J. Uncertain. Quantification, 2016

2015

Convergence of a Higher Order Scheme for the Korteweg-De Vries Equation.

[BibT_eX]

[DOI]

Rajib Dutta

Ujjwal Koley

SIAM J. Numer. Anal., 2015

2014

L1 error estimates for difference approximations of degenerate convection-diffusion equations.

[BibT_eX]

[DOI]

Erlend B. Storrøsten

Math. Comput., 2014

2013

Operator splitting for partial differential equations with Burgers nonlinearity.

[BibT_eX]

[DOI]

Christian Lubich

Math. Comput., 2013

2012

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

[BibT_eX]

[DOI]

Ujjwal Koley

Numerische Mathematik, 2012

2011

Operator splitting for the KdV equation.

[BibT_eX]

[DOI]

Math. Comput., 2011

2010

On vanishing viscosity approximation of conservation laws with discontinuous flux.

[BibT_eX]

[DOI]

Boris P. Andreianov

Networks Heterog. Media, 2010

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

[BibT_eX]

[DOI]

Siddhartha Mishra

Math. Comput., 2010

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

[BibT_eX]

[DOI]

J. Comput. Phys., 2010

2009

Convergence of finite volume schemes for triangular systems of conservation laws.

[BibT_eX]

[DOI]

Siddhartha Mishra

Numerische Mathematik, 2009

Well-balanced schemes for conservation laws with source terms based on a local discontinuous flux formulation.

[BibT_eX]

[DOI]

Siddhartha Mishra

Math. Comput., 2009

Splitting based finite volume schemes for ideal MHD equations.

[BibT_eX]

[DOI]

Franz G. Fuchs

S. Mishra

J. Comput. Phys., 2009

An Introduction to the Theory of Scalar Conservation Laws with Spatially Discontinuous Flux Functions.

[BibT_eX]

[DOI]

Proceedings of the Applied Wave Mathematics, 2009

2008

A Convergent Finite Difference Scheme for the Camassa-Holm Equation with General H1 Initial Data.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2008

2007

Convergent difference schemes for the Hunter-Saxton equation.

[BibT_eX]

[DOI]

Math. Comput., 2007

2005

Conservation Laws with Time Dependent Discontinuous Coefficients.

[BibT_eX]

[DOI]

SIAM J. Math. Anal., 2005

2004

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

[BibT_eX]

[DOI]

Numerische Mathematik, 2004

A relaxation scheme for conservation laws with a discontinuous coefficient.

[BibT_eX]

[DOI]

Christian Klingenberg

Math. Comput., 2004

2001

On the Convergence Rate ofOperator Splitting for Hamilton-Jacobi Equations with Source Terms.

[BibT_eX]

[DOI]

Espen R. Jakobsen

Kenneth Hvistendahl Karlsen

SIAM J. Numer. Anal., 2001

2000

Corrected Operator Splitting for Nonlinear Parabolic Equations.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2000

1995

Maximum Principles for a Class of Conservation Laws.

[BibT_eX]

[DOI]

Aslak Tveito

SIAM J. Appl. Math., 1995

1991

Front Tracking Applied to a Nonstrictly Hyperbolic System of Conservation Laws.

[BibT_eX]

[DOI]