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Towers, John D.

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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: 36 Publications since 2000

Publications by Year

Citations contained in zbMATH Open

32 Publications have been cited 609 times in 213 Documents Cited by Year
Convergence of a difference scheme for conservation laws with a discontinuous flux. Zbl 0972.65060
Towers, John D.
80
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.
64
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.
56
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.
53
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.
52
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.
45
2009
A difference scheme for conservation laws with a discontinuous flux: the nonconvex case. Zbl 1055.65104
Towers, John D.
41
2001
A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
35
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.
32
2008
Two methods for discretizing a delta function supported on a level set. Zbl 1115.65028
Towers, John D.
22
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.
17
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.
14
2004
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.
13
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.
9
2010
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.
8
2017
A convergence rate theorem for finite difference approximations to delta functions. Zbl 1155.65016
Towers, John D.
6
2008
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.
6
2003
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
6
2004
Finite difference methods for approximating Heaviside functions. Zbl 1171.65014
Towers, John D.
6
2008
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.
5
2006
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
5
2005
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.
5
2010
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
5
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.
4
2018
Discretizing delta functions via finite differences and gradient normalization. Zbl 1167.65007
Towers, John D.
4
2009
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
Finite difference methods for discretizing singular source terms in a Poisson interface problem. Zbl 1216.65143
Towers, John D.
3
2010
A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction. Zbl 06638248
Towers, John D.
3
2016
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.
3
2009
An existence result for conservation laws having BV spatial flux heterogeneities – without concavity. Zbl 1440.35213
Towers, John D.
2
2020
A source term method for Poisson problems on irregular domains. Zbl 1422.65327
Towers, John D.
1
2018
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.
1
2020
An existence result for conservation laws having BV spatial flux heterogeneities – without concavity. Zbl 1440.35213
Towers, John D.
2
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.
1
2020
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
5
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.
4
2018
A source term method for Poisson problems on irregular domains. Zbl 1422.65327
Towers, John D.
1
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.
8
2017
A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction. Zbl 06638248
Towers, John D.
3
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.
9
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.
5
2010
Finite difference methods for discretizing singular source terms in a Poisson interface problem. Zbl 1216.65143
Towers, John D.
3
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.
45
2009
Discretizing delta functions via finite differences and gradient normalization. Zbl 1167.65007
Towers, John D.
4
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.
3
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.
32
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.
13
2008
A convergence rate theorem for finite difference approximations to delta functions. Zbl 1155.65016
Towers, John D.
6
2008
Finite difference methods for approximating Heaviside functions. Zbl 1171.65014
Towers, John D.
6
2008
Two methods for discretizing a delta function supported on a level set. Zbl 1115.65028
Towers, John D.
22
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.
5
2006
A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
35
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.
56
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.
52
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.
14
2004
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
6
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.
64
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.
6
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.
53
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.
17
2002
A difference scheme for conservation laws with a discontinuous flux: the nonconvex case. Zbl 1055.65104
Towers, John D.
41
2001
Convergence of a difference scheme for conservation laws with a discontinuous flux. Zbl 0972.65060
Towers, John D.
80
2000
all top 5

Cited by 251 Authors

27 Bürger, Raimund
21 Karlsen, Kenneth Hvistendahl
15 Risebro, Nils Henrik
14 Towers, John D.
13 Andreianov, Boris
11 Diehl, Stefan
11 Mishra, Siddhartha
9 Gowda, G. D. Veerappa
8 Adimurthi, A.
7 Goatin, Paola
6 Cancès, Clément
5 Coclite, Giuseppe Maria
5 Gibou, Frédéric
5 Panov, Evgeniy Yu.
4 Abreu, Eduardo
4 Ghoshal, Shyam Sundar
4 Klingenberg, Christian
4 Sepúlveda, Mauricio A.
4 Shen, Chun
4 Villada, Luis Miguel
4 Wang, Guodong
3 Berres, Stefan
3 Chalons, Christophe
3 Choi, Keechoo
3 Guerra, Graziano
3 Koley, Ujjwal
3 Kublik, Catherine M.
3 Lu, Yunguang
3 Rosini, Massimiliano Daniele
3 Rossi, Elena
3 Seaïd, Mohammed
3 Shen, Wen
3 Sun, Meina
3 Tsai, Yen-Hsi Richard
3 Wen, Xin
2 Acosta, Carlos Daniel
2 Amadori, Debora
2 Badwaik, Jayesh
2 Briani, Maya
2 Bustos, Abel
2 Coronel, Aníbal
2 Cristiani, Emiliano
2 Donadello, Carlotta
2 Dutta, Rajib
2 Egan, Raphael
2 Eymard, Robert
2 Farås, Sebastian
2 Festa, Adriano
2 Gosse, Laurent
2 Göttlich, Simone
2 Gwiazda, Piotr
2 Hilhorst, Danielle
2 Kolahdouz, Ebrahim M.
2 Kröker, Ilja
2 Kummer, Florian
2 Lambert, Wanderson J.
2 Liu, Jianguo
2 Mejía, Carlos E.
2 Min, Chohong
2 Mitrovic, Darko
2 Müller, Björn
2 Oberlack, Martin
2 Piccoli, Benedetto
2 Qiao, Dianliang
2 Ruf, Adrian M.
2 Ruiz, Ricardo M.
2 Saad, Mazen
2 Salac, David
2 Schneider, Kai
2 Seguin, Nicolas
2 Sudarshan Kumar, Kenettinkara
2 Świerczewska-Gwiazda, Agnieszka
2 Sylla, Abraham
2 Tang, Min
2 Vohralík, Martin
2 Vovelle, Julien
2 Wang, Li
2 Wang, Zhongming
2 Zhou, Zhennan
1 Aggarwal, Aekta
1 Ammar, Kaouther
1 Ancona, Fabio
1 Aniszewski, Wojciech
1 Bachmann, Florence
1 Barceló, Luis F.
1 Barth, Andrea
1 Basson, David K.
1 Beale, J. Thomas
1 Ben Belgacem, Fethi
1 Benkhaldoun, Fayssal
1 Bessemoulin-Chatard, Marianne
1 Bochkov, Daniil
1 Brencher, Lukas
1 Brenner, Konstantin
1 Bressan, Alberto
1 Bretti, Gabriella
1 Bukshtynov, Vladislav
1 Bulíček, Miroslav
1 Camilli, Fabio
1 Careaga, Julio
...and 151 more Authors
all top 5

Cited in 68 Serials

24 Journal of Computational Physics
12 Journal of Differential Equations
10 Networks and Heterogeneous Media
9 Journal of Engineering Mathematics
9 Journal of Hyperbolic Differential Equations
8 Mathematics of Computation
8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
7 Numerische Mathematik
6 Applied Numerical Mathematics
6 Journal of Scientific Computing
6 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
5 Journal of Computational and Applied Mathematics
5 Applied Mathematical Modelling
4 Archive for Rational Mechanics and Analysis
4 Computers & Mathematics with Applications
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Mathematics and Computation
4 SIAM Journal on Applied Mathematics
3 Journal of Mathematical Analysis and Applications
3 International Journal for Numerical Methods in Engineering
3 SIAM Journal on Numerical Analysis
3 Numerical Methods for Partial Differential Equations
3 Applied Mathematics Letters
3 SIAM Journal on Mathematical Analysis
3 SIAM Journal on Scientific Computing
3 Computational Geosciences
2 Computer Methods in Applied Mechanics and Engineering
2 Journal of Functional Analysis
2 Acta Applicandae Mathematicae
2 Journal of Mathematical Sciences (New York)
2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
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 Applicable Analysis
1 Communications on Pure and Applied Mathematics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Journal of Statistical Physics
1 Physica A
1 Annales Universitatis Mariae Curie-Skłodowska. Sectio A. Mathematica
1 BIT
1 Calcolo
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Transactions of the American Mathematical Society
1 Applied Mathematics and Mechanics. (English Edition)
1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
1 Mathematical and Computer Modelling
1 Communications in Partial Differential Equations
1 Communications in Numerical Methods in Engineering
1 Computational and Applied Mathematics
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 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Nonlinear Analysis. Real World Applications
1 Journal of Evolution Equations
1 Central European Journal of Mathematics
1 Multiscale Modeling & Simulation
1 Granular Matter
1 Mathematical Biosciences and Engineering
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 Research in the Mathematical Sciences
1 Journal of Elliptic and Parabolic Equations

Citations by Year