John D. Towers

Publication Activity (10 Years)

Years Active: 2000-2023
Publications (10 Years): 10

Top Topics

Error Estimates

Improved Algorithm

Conservation Laws

Expectation Maximization

Top Venues

Numerische Mathematik

J. Comput. Phys.

Networks Heterog. Media

Publications

Kenneth H. Karlsen, John D. Towers
Compactness estimates for difference schemes for conservation laws with discontinuous flux. CoRR (2023)
John D. Towers
An explicit finite volume algorithm for vanishing viscosity solutions on a network. Networks Heterog. Media 17 (1) (2022)
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux. Numerische Mathematik 151 (3) (2022)
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
A Godunov type scheme and error estimates for multidimensional scalar conservation laws with Panov-type discontinuous flux. CoRR (2021)
Shyam Sundar Ghoshal, John D. Towers, Ganesh Vaidya
Convergence of a Godunov scheme for degenerate conservation laws with BV spatial flux and a study of Panov type fluxes. CoRR (2020)
Shyam Sundar Ghoshal, Animesh Jana, John D. Towers
Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux. Numerische Mathematik 146 (3) (2020)
John D. Towers
The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles. Networks Heterog. Media 15 (1) (2020)
John D. Towers
A splitting algorithm for LWR traffic models with flux discontinuous in the unknown. J. Comput. Phys. 421 (2020)
John D. Towers
A source term method for Poisson problems on irregular domains. J. Comput. Phys. 361 (2018)
John D. Towers
Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities. Numerische Mathematik 139 (4) (2018)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Networks Heterog. Media 5 (3) (2010)
Raimund Bürger, Kenneth H. Karlsen, Héctor Torres, John D. Towers
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Numerische Mathematik 116 (4) (2010)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
An Engquist-Osher-Type Scheme for Conservation Laws with Discontinuous Flux Adapted to Flux Connections. SIAM J. Numer. Anal. 47 (3) (2009)
John D. Towers
Finite difference methods for approximating Heaviside functions. J. Comput. Phys. 228 (9) (2009)
John D. Towers
Discretizing delta functions via finite differences and gradient normalization. J. Comput. Phys. 228 (10) (2009)
John D. Towers
A convergence rate theorem for finite difference approximations to delta functions. J. Comput. Phys. 227 (13) (2008)
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Networks Heterog. Media 3 (1) (2008)
Raimund Bürger, Antonio García, Kenneth H. Karlsen, John D. Towers
A kinematic model of continuous separation and classification of polydisperse suspensions. Comput. Chem. Eng. 32 (6) (2008)
John D. Towers
Two methods for discretizing a delta function supported on a level set. J. Comput. Phys. 220 (2) (2007)
Raimund Bürger, Kenneth H. Karlsen, John D. Towers
A Model of Continuous Sedimentation of Flocculated Suspensions in Clarifier-Thickener Units. SIAM J. Appl. Math. 65 (3) (2005)
Raimund Bürger, Kenneth H. Karlsen, Nils Henrik Risebro, John D. Towers
and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Numerische Mathematik 97 (1) (2004)
John D. Towers
A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case. SIAM J. Numer. Anal. 39 (4) (2001)
John D. Towers
Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux. SIAM J. Numer. Anal. 38 (2) (2000)