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A source term method for Poisson problems on irregular domains

Journal of computational physics, 2018-05, Vol.361, p.424-441

Towers, John D.

2018

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A splitting algorithm for LWR traffic models with flux discontinuous in the unknown

Journal of computational physics, 2020-11, Vol.421, p.109722, Article 109722

Towers, John D.

2020

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Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities

Numerische Mathematik, 2018-08, Vol.139 (4), p.939-969

Towers, John D.

2018

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A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux

Numerische Mathematik, 2022-07, Vol.151 (3), p.601-625

2022

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Compactness estimates for difference schemes for conservation laws with discontinuous flux

IMA journal of numerical analysis, 2024-01

2024

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Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux

Numerische Mathematik, 2020-11, Vol.146 (3), p.629-659

2020

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The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles

Networks and heterogeneous media, 2020, Vol.15 (1), p.143-169

D. Towers, John

2020

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Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities

Journal of hyperbolic differential equations, 2018-06, Vol.15 (2), p.175-190

Towers, John D.

2018

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Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov-type fluxes

Journal of hyperbolic differential equations, 2022-06, Vol.19 (2), p.365-390

2022

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Finite difference methods for approximating Heaviside functions

Journal of computational physics, 2009-05, Vol.228 (9), p.3478-3489

Towers, John D.

2009

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Two methods for discretizing a delta function supported on a level set

Journal of computational physics, 2007-01, Vol.220 (2), p.915-931

Towers, John D.

2007

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AN ENGQUIST–OSHER-TYPE SCHEME FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX ADAPTED TO FLUX CONNECTIONS

SIAM journal on numerical analysis, 2009-01, Vol.47 (3), p.1684-1712

2009

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A convergence rate theorem for finite difference approximations to delta functions

Journal of computational physics, 2008-06, Vol.227 (13), p.6591-6597

Towers, John D.

2008

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Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux

SIAM journal on numerical analysis, 2001, Vol.38 (2), p.681-698

Towers, John D.

2001

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Discretizing delta functions via finite differences and gradient normalization

Journal of computational physics, 2009-06, Vol.228 (10), p.3816-3836

Towers, John D.

2009

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An existence result for conservation laws having BV spatial flux heterogeneities - without concavity

Journal of Differential Equations, 2020-09, Vol.269 (7), p.5754-5764

Towers, John D.

2020

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A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case

SIAM journal on numerical analysis, 2002, Vol.39 (4), p.1197-1218

Towers, John D.

2002

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A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units

SIAM journal on applied mathematics, 2005-01, Vol.65 (3), p.882-940

2005

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An explicit finite volume algorithm for vanishing viscosity solutions on a network

Networks and heterogeneous media, 2022-02, Vol.17 (1), p.1

Towers, John D.

2022

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Second-order schemes for conservation laws with discontinuous flux modelling clarifier–thickener units

Numerische Mathematik, 2010-10, Vol.116 (4), p.579-617

2010

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A source term method for Poisson problems with a discontinuous diffusion coefficient

Communications in applied mathematics and computational science, 2023-01, Vol.18 (1), p.153-176

Towers, John D.

2023

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A fixed grid, shifted stencil scheme for inviscid fluid–particle interaction

Applied numerical mathematics, 2016-12, Vol.110, p.26-40

Towers, John D.

2016

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On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux

Networks and heterogeneous media, 2010-09, Vol.5 (3), p.461-485

2010

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Mathematical model and numerical simulation of the dynamics of flocculated suspensions in clarifier–thickeners

Chemical engineering journal (1996), 2005-08, Vol.111 (2), p.119-134

2005

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BV regularity of the adapted entropy solutions for conservation laws with infinitely many spatial discontinuities

Networks and heterogeneous media, 2024, Vol.19 (1), p.196-213

2024

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A source term method for Poisson problems on irregular domains

A splitting algorithm for LWR traffic models with flux discontinuous in the unknown

Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities

A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux

Compactness estimates for difference schemes for conservation laws with discontinuous flux

Convergence of a Godunov scheme to an Audusse–Perthame adapted entropy solution for conservation laws with BV spatial flux

The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles

Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities

Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov-type fluxes

Finite difference methods for approximating Heaviside functions

Two methods for discretizing a delta function supported on a level set

AN ENGQUIST–OSHER-TYPE SCHEME FOR CONSERVATION LAWS WITH DISCONTINUOUS FLUX ADAPTED TO FLUX CONNECTIONS

A convergence rate theorem for finite difference approximations to delta functions

Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux

Discretizing delta functions via finite differences and gradient normalization

An existence result for conservation laws having BV spatial flux heterogeneities - without concavity

A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case

A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units

An explicit finite volume algorithm for vanishing viscosity solutions on a network

Second-order schemes for conservation laws with discontinuous flux modelling clarifier–thickener units

A source term method for Poisson problems with a discontinuous diffusion coefficient

A fixed grid, shifted stencil scheme for inviscid fluid–particle interaction

On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux

Mathematical model and numerical simulation of the dynamics of flocculated suspensions in clarifier–thickeners

BV regularity of the adapted entropy solutions for conservation laws with infinitely many spatial discontinuities

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