John D. Towers

26 papers Journal 26
YearRankTypeTitle / Venue / Authors
2025 J jnl
A convergence rate result for front tracking approximations of conservation laws with discontinuous flux.
CoRR
Shyam Sundar Ghoshal, John D. Towers
2025 J jnl
Convergence of a particle Monte Carlo algorithm for scalar conservation laws.
Monte Carlo Methods Appl.
John D. Towers
2024 J jnl
BV regularity of the adapted entropy solutions for conservation laws with infinitely many spatial discontinuities.
Networks Heterog. Media
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
2023 J jnl
Compactness estimates for difference schemes for conservation laws with discontinuous flux.
CoRR
Kenneth H. Karlsen, John D. Towers
2022 J jnl
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux.
Numerische Mathematik
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
2022 J jnl
An explicit finite volume algorithm for vanishing viscosity solutions on a network.
Networks Heterog. Media
John D. Towers
2021 J jnl
A Godunov type scheme and error estimates for multidimensional scalar conservation laws with Panov-type discontinuous flux.
CoRR
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
2020 J jnl
A splitting algorithm for LWR traffic models with flux discontinuous in the unknown.
J. Comput. Phys.
John D. Towers
2020 J jnl
Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov type fluxes.
CoRR
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
2020 J jnl
Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux.
Numerische Mathematik
Shyam Sundar Ghoshal, Animesh Jana, John D. Towers
2020 J jnl
The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles.
Networks Heterog. Media
John D. Towers
2018 J jnl
A source term method for Poisson problems on irregular domains.
J. Comput. Phys.
John D. Towers
2018 J jnl
Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities.
Numerische Mathematik
John D. Towers
2010 J jnl
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux.
Networks Heterog. Media
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
2010 J jnl
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units.
Numerische Mathematik
Raimund Bürger, Kenneth H. Karlsen, Héctor Torres, John D. Towers
2009 J jnl
An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections.
SIAM J. Numer. Anal.
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
2009 J jnl
Discretizing delta functions via finite differences and gradient normalization.
J. Comput. Phys.
John D. Towers
2009 J jnl
Finite difference methods for approximating Heaviside functions.
J. Comput. Phys.
John D. Towers
2008 J jnl
A convergence rate theorem for finite difference approximations to delta functions.
J. Comput. Phys.
John D. Towers
2008 J jnl
A kinematic model of continuous separation and classification of polydisperse suspensions.
Comput. Chem. Eng.
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
2008 J jnl
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model.
Networks Heterog. Media
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
2007 J jnl
Two methods for discretizing a delta function supported on a level set.
J. Comput. Phys.
John D. Towers
2005 J jnl
A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units.
SIAM J. Appl. Math.
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
2004 J jnl
Well-posedness in
Numerische Mathematik
Raimund Bürger, Kenneth H. Karlsen, Nils Henrik Risebro, John D. Towers
2001 J jnl
A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case.
SIAM J. Numer. Anal.
John D. Towers
2000 J jnl
Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux.
SIAM J. Numer. Anal.
John D. Towers