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ORCIDJohn D. Towers
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2020 – today
- 2023
[i3]Kenneth H. Karlsen, John D. Towers:
Compactness estimates for difference schemes for conservation laws with discontinuous flux. CoRR abs/2305.18765 (2023)- 2022
- [j20]John D. Towers:
An explicit finite volume algorithm for vanishing viscosity solutions on a network. Networks Heterog. Media 17(1): 1-13 (2022) - [j19]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): 601-625 (2022) - 2021
- [i2]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 abs/2103.05602 (2021) - 2020
- [j18]John D. Towers:
A splitting algorithm for LWR traffic models with flux discontinuous in the unknown. J. Comput. Phys. 421: 109722 (2020) - [j17]John D. Towers:
The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles. Networks Heterog. Media 15(1): 143-169 (2020) - [j16]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): 629-659 (2020) - [i1]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 abs/2011.10946 (2020)
2010 – 2019
- 2018
- [j15]John D. Towers:
A source term method for Poisson problems on irregular domains. J. Comput. Phys. 361: 424-441 (2018) - [j14]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): 939-969 (2018) - 2010
- [j13]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): 461-485 (2010) - [j12]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): 579-617 (2010)
2000 – 2009
- 2009
- [j11]John D. Towers:
Finite difference methods for approximating Heaviside functions. J. Comput. Phys. 228(9): 3478-3489 (2009) - [j10]John D. Towers:
Discretizing delta functions via finite differences and gradient normalization. J. Comput. Phys. 228(10): 3816-3836 (2009) - [j9]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): 1684-1712 (2009) - 2008
- [j8]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): 1173-1194 (2008) - [j7]John D. Towers:
A convergence rate theorem for finite difference approximations to delta functions. J. Comput. Phys. 227(13): 6591-6597 (2008) - [j6]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): 1-41 (2008) - 2007
- [j5]John D. Towers:
Two methods for discretizing a delta function supported on a level set. J. Comput. Phys. 220(2): 915-931 (2007) - 2005
- [j4]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): 882-940 (2005) - 2004
- [j3]Raimund Bürger, Kenneth H. Karlsen, Nils Henrik Risebro, John D. Towers:
Well-posedness in BVt and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Numerische Mathematik 97(1): 25-65 (2004) - 2001
- [j2]John D. Towers:
A Difference Scheme for Conservation Laws with a Discontinuous Flux: The Nonconvex Case. SIAM J. Numer. Anal. 39(4): 1197-1218 (2001) - 2000
- [j1]John D. Towers:
Convergence of a Difference Scheme for Conservation Laws with a Discontinuous Flux. SIAM J. Numer. Anal. 38(2): 681-698 (2000)
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