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Author ID: towers.john-d Recent zbMATH articles by "Towers, John D."
Published as: Towers, John D.; Towers, J. D.
Documents Indexed: 44 Publications since 2000, including 3 Additional arXiv Preprints
Co-Authors: 8 Co-Authors with 28 Joint Publications
254 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

37 Publications have been cited 785 times in 278 Documents Cited by Year
Convergence of a difference scheme for conservation laws with a discontinuous flux. Zbl 0972.65060
Towers, John D.
93
2000
\(L^1\) stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Zbl 1036.35104
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
79
2003
Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux. Zbl 1112.65085
Karlsen, K. H.; Towers, J. D.
70
2004
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
65
2002
Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1053.76047
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
64
2004
An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. Zbl 1201.35022
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
53
2009
A difference scheme for conservation laws with a discontinuous flux: the nonconvex case. Zbl 1055.65104
Towers, John D.
46
2001
A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
43
2005
A family of numerical schemes for kinematic flows with discontinuous flux. Zbl 1200.76126
Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D.
43
2008
Two methods for discretizing a delta function supported on a level set. Zbl 1115.65028
Towers, John D.
26
2007
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049
Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D.
19
2002
Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
16
2004
Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Zbl 1380.65158
Karlsen, K. H.; Towers, J. D.
16
2017
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586
Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D.
14
2008
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Zbl 1204.65101
Bürger, Raimund; Karlsen, Kenneth H.; Torres, Héctor; Towers, John D.
13
2010
Finite difference methods for approximating Heaviside functions. Zbl 1171.65014
Towers, John D.
11
2008
A source term method for Poisson problems on irregular domains. Zbl 1422.65327
Towers, John D.
9
2018
On a model for continuous sedimentation in vessels with discontinuous cross-sectional area. Zbl 1059.76542
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
8
2003
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
8
2004
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Zbl 1263.76048
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
8
2010
A convergence rate theorem for finite difference approximations to delta functions. Zbl 1155.65016
Towers, John D.
8
2008
An existence result for conservation laws having BV spatial flux heterogeneities – without concavity. Zbl 1440.35213
Towers, John D.
7
2020
A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Zbl 1186.35005
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
7
2009
On an extended clarifier-thickener model with singular source and sink terms. Zbl 1201.35130
Bürger, R.; Garcia, A.; Karlsen, K. H.; Towers, J. D.
7
2006
Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities. Zbl 1395.65042
Towers, John D.
6
2018
Discretizing delta functions via finite differences and gradient normalization. Zbl 1167.65007
Towers, John D.
6
2009
Finite difference methods for discretizing singular source terms in a Poisson interface problem. Zbl 1216.65143
Towers, John D.
6
2010
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
5
2018
A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction. Zbl 06638248
Towers, John D.
5
2016
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
5
2005
Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux. Zbl 1451.65107
Ghoshal, Shyam Sundar; Jana, Animesh; Towers, John D.
5
2020
Closed-form and finite difference solutions to a population balance model of grinding mills. Zbl 1097.74045
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
3
2005
An explicit finite volume algorithm for vanishing viscosity solutions on a network. Zbl 1487.90206
Towers, John D.
3
2022
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux. Zbl 07549401
Ghoshal, Shyam Sundar; Towers, John D.; Vaidya, Ganesh
3
2022
Convergence of monotone schemes for conservation laws with zero-flux boundary conditions. Zbl 1488.65365
Karlsen, K. H.; Towers, J. D.
2
2017
A splitting algorithm for LWR traffic models with flux discontinuous in the unknown. Zbl 07508351
Towers, John D.
2
2020
The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles. Zbl 1436.65112
Towers, John D.
1
2020
An explicit finite volume algorithm for vanishing viscosity solutions on a network. Zbl 1487.90206
Towers, John D.
3
2022
A Godunov type scheme and error estimates for scalar conservation laws with Panov-type discontinuous flux. Zbl 07549401
Ghoshal, Shyam Sundar; Towers, John D.; Vaidya, Ganesh
3
2022
An existence result for conservation laws having BV spatial flux heterogeneities – without concavity. Zbl 1440.35213
Towers, John D.
7
2020
Convergence of a Godunov scheme to an Audusse-Perthame adapted entropy solution for conservation laws with BV spatial flux. Zbl 1451.65107
Ghoshal, Shyam Sundar; Jana, Animesh; Towers, John D.
5
2020
A splitting algorithm for LWR traffic models with flux discontinuous in the unknown. Zbl 07508351
Towers, John D.
2
2020
The Lax-Friedrichs scheme for interaction between the inviscid Burgers equation and multiple particles. Zbl 1436.65112
Towers, John D.
1
2020
A source term method for Poisson problems on irregular domains. Zbl 1422.65327
Towers, John D.
9
2018
Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities. Zbl 1395.65042
Towers, John D.
6
2018
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
5
2018
Convergence of a Godunov scheme for conservation laws with a discontinuous flux lacking the crossing condition. Zbl 1380.65158
Karlsen, K. H.; Towers, J. D.
16
2017
Convergence of monotone schemes for conservation laws with zero-flux boundary conditions. Zbl 1488.65365
Karlsen, K. H.; Towers, J. D.
2
2017
A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction. Zbl 06638248
Towers, John D.
5
2016
Second-order schemes for conservation laws with discontinuous flux modelling clarifier-thickener units. Zbl 1204.65101
Bürger, Raimund; Karlsen, Kenneth H.; Torres, Héctor; Towers, John D.
13
2010
On some difference schemes and entropy conditions for a class of multi-species kinematic flow models with discontinuous flux. Zbl 1263.76048
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
8
2010
Finite difference methods for discretizing singular source terms in a Poisson interface problem. Zbl 1216.65143
Towers, John D.
6
2010
An Engquist-Osher-type scheme for conservation laws with discontinuous flux adapted to flux connections. Zbl 1201.35022
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
53
2009
A conservation law with discontinuous flux modelling traffic flow with abruptly changing road surface conditions. Zbl 1186.35005
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
7
2009
Discretizing delta functions via finite differences and gradient normalization. Zbl 1167.65007
Towers, John D.
6
2009
A family of numerical schemes for kinematic flows with discontinuous flux. Zbl 1200.76126
Bürger, R.; García, A.; Karlsen, K. H.; Towers, J. D.
43
2008
Difference schemes, entropy solutions, and speedup impulse for an inhomogeneous kinematic traffic flow model. Zbl 1173.35586
Bürger, Raimund; García, Antonio; Karlsen, Kenneth H.; Towers, John D.
14
2008
Finite difference methods for approximating Heaviside functions. Zbl 1171.65014
Towers, John D.
11
2008
A convergence rate theorem for finite difference approximations to delta functions. Zbl 1155.65016
Towers, John D.
8
2008
Two methods for discretizing a delta function supported on a level set. Zbl 1115.65028
Towers, John D.
26
2007
On an extended clarifier-thickener model with singular source and sink terms. Zbl 1201.35130
Bürger, R.; Garcia, A.; Karlsen, K. H.; Towers, J. D.
7
2006
A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
43
2005
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
5
2005
Closed-form and finite difference solutions to a population balance model of grinding mills. Zbl 1097.74045
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
3
2005
Convergence of the Lax-Friedrichs scheme and stability for conservation laws with a discontinuous space-time dependent flux. Zbl 1112.65085
Karlsen, K. H.; Towers, J. D.
70
2004
Well-posedness in \(BV_t\) and convergence of a difference scheme for continuous sedimentation in ideal clarifier-thickener units. Zbl 1053.76047
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
64
2004
Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
16
2004
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
8
2004
\(L^1\) stability for entropy solutions of nonlinear degenerate parabolic convection-diffusion equations with discontinuous coefficients. Zbl 1036.35104
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
79
2003
On a model for continuous sedimentation in vessels with discontinuous cross-sectional area. Zbl 1059.76542
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
8
2003
Upwind difference approximations for degenerate parabolic convection-diffusion equations with a discontinuous coefficient. Zbl 1014.65073
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
65
2002
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049
Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D.
19
2002
A difference scheme for conservation laws with a discontinuous flux: the nonconvex case. Zbl 1055.65104
Towers, John D.
46
2001
Convergence of a difference scheme for conservation laws with a discontinuous flux. Zbl 0972.65060
Towers, John D.
93
2000
all top 5

Cited by 335 Authors

35 Bürger, Raimund
22 Karlsen, Kenneth Hvistendahl
18 Towers, John D.
17 Risebro, Nils Henrik
16 Andreianov, Boris
15 Diehl, Stefan
11 Mishra, Siddhartha
10 Gowda, G. D. Veerappa
9 Adimurthi, A.
9 Goatin, Paola
8 Ghoshal, Shyam Sundar
8 Zhang, Peng
7 Wong, Sze Chun
6 Cancès, Clément
6 Coclite, Giuseppe Maria
6 Villada, Luis Miguel
5 Abreu, Eduardo
5 Careaga, Julio
5 Gibou, Frédéric
5 Klingenberg, Christian
5 Panov, Evgeniy Yu.
5 Sylla, Abraham
5 Wang, Guodong
4 Chiarello, Felisia Angela
4 Göttlich, Simone
4 Lu, Yunguang
4 Rosini, Massimiliano Daniele
4 Sepúlveda, Mauricio A.
4 Shen, Chun
3 Berres, Stefan
3 Chalons, Christophe
3 Choi, Keechoo
3 Guerra, Graziano
3 Koley, Ujjwal
3 Kröker, Ilja
3 Kublik, Catherine M.
3 Kumar Kenettinkara, Sudarshan
3 Lambert, Wanderson J.
3 Mitrovic, Darko
3 Pineda, Romel
3 Qiao, Dianliang
3 Rossi, Elena
3 Salac, David
3 Seaïd, Mohammed
3 Shen, Wen
3 Sun, Meina
3 Tsai, Yen-Hsi Richard
3 Vaidya, Ganesh
3 Vega, Carlos A.
3 Wen, Xin
3 Zhao, Shan
2 Acosta, Carlos Daniel
2 Aggarwal, Aekta
2 Amadori, Debora
2 Aniszewski, Wojciech
2 Badwaik, Jayesh
2 Briani, Maya
2 Bustos, Abel
2 Contreras, Harold Deivi
2 Coronel, Aníbal
2 Cristiani, Emiliano
2 Donadello, Carlotta
2 Dutta, Rajib
2 Egan, Raphael
2 Eymard, Robert
2 Farås, Sebastian
2 Ferraz, Paola
2 Festa, Adriano
2 Fjordholm, Ulrik Skre
2 Friedrich, Jan
2 Gosse, Laurent
2 Gwiazda, Piotr
2 Herty, Michael Matthias
2 Hilhorst, Danielle
2 Holden, Helge
2 Jerez, Silvia
2 Keimer, Alexander
2 Kolahdouz, Ebrahim M.
2 Krunić, Tanja
2 Kummer, Florian
2 Kunzinger, Michael
2 Lin, Zhiyang
2 Liu, Jianguo
2 Ma, Yanying
2 Martí, María Carmen
2 Mejía, Carlos E.
2 Min, Chohong
2 Müller, Björn
2 Musch, Markus
2 Nedeljkov, Marko
2 Oberlack, Martin
2 Pflug, Lukas
2 Piccoli, Benedetto
2 Ren, Yiming
2 Rodríguez Bermúdez, Panters
2 Rohde, Christian
2 Ruf, Adrian M.
2 Ruiz-Baier, Ricardo
2 Ruiz, Ricardo M.
2 Saad, Mazen
...and 235 more Authors
all top 5

Cited in 85 Serials

35 Journal of Computational Physics
17 Networks and Heterogeneous Media
14 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
13 Journal of Differential Equations
11 Journal of Hyperbolic Differential Equations
10 Journal of Engineering Mathematics
9 Numerische Mathematik
8 Mathematics of Computation
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Applied Mathematical Modelling
6 Computers & Mathematics with Applications
6 Applied Numerical Mathematics
6 Journal of Scientific Computing
5 Applied Mathematics and Computation
5 Journal of Computational and Applied Mathematics
4 Archive for Rational Mechanics and Analysis
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 SIAM Journal on Numerical Analysis
4 Numerical Methods for Partial Differential Equations
4 Applied Mathematics Letters
4 SIAM Journal on Applied Mathematics
4 SIAM Journal on Mathematical Analysis
4 SIAM Journal on Scientific Computing
4 Computational Geosciences
3 Journal of Mathematical Analysis and Applications
3 International Journal for Numerical Methods in Engineering
2 Applicable Analysis
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Functional Analysis
2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
2 Transactions of the American Mathematical Society
2 Acta Applicandae Mathematicae
2 Journal of Mathematical Sciences (New York)
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2 Nonlinear Analysis. Real World Applications
2 Bulletin of the Brazilian Mathematical Society. New Series
2 Discrete and Continuous Dynamical Systems. Series S
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 Classical and Quantum Gravity
1 Communications on Pure and Applied Mathematics
1 General Relativity and Gravitation
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Mathematical Methods in the Applied Sciences
1 Physica A
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 BIT
1 Calcolo
1 Journal of the London Mathematical Society. Second Series
1 Applied Mathematics and Mechanics. (English Edition)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Mathematical and Computer Modelling
1 European Journal of Applied Mathematics
1 Communications in Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 Computational and Applied Mathematics
1 NoDEA. Nonlinear Differential Equations and Applications
1 Engineering Analysis with Boundary Elements
1 Discrete and Continuous Dynamical Systems
1 Computing and Visualization in Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
1 Vietnam Journal of Mathematics
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Communications in Nonlinear Science and Numerical Simulation
1 Communications in Contemporary Mathematics
1 Journal of Evolution Equations
1 Acta Mathematica Scientia. Series B. (English Edition)
1 Comptes Rendus. Mathématique. Académie des Sciences, Paris
1 Central European Journal of Mathematics
1 Multiscale Modeling & Simulation
1 TEMA. Tendências em Matemática Aplicada e Computacional
1 Granular Matter
1 International Journal of Computational Methods
1 International Journal of Numerical Analysis and Modeling
1 Mathematical Biosciences and Engineering
1 Communications in Applied Mathematics and Computational Science
1 International Journal of Differential Equations
1 Advances in Applied Mathematics and Mechanics
1 Science China. Mathematics
1 Journal of the Korean Society for Industrial and Applied Mathematics
1 Communications in Applied and Industrial Mathematics
1 Research in the Mathematical Sciences
1 Journal of Elliptic and Parabolic Equations
1 International Journal on Finite Volumes

Citations by Year