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## Towers, John D.

Compute Distance To:
 Author ID: towers.john-d Published as: Towers, J. D.; Towers, John D.
 Documents Indexed: 35 Publications since 2000
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#### Co-Authors

 13 single-authored 21 Karlsen, Kenneth Hvistendahl 15 Bürger, Raimund 7 Risebro, Nils Henrik 2 García, Arturo 1 García, A. Márquez 1 García, Antonio G. 1 Ghoshal, Shyam Sundar 1 Jana, Animesh 1 Mishra, Siddhartha 1 Torres, Héctor
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#### Serials

 5 Journal of Computational Physics 4 Numerische Mathematik 3 SIAM Journal on Numerical Analysis 3 Journal of Hyperbolic Differential Equations 3 Networks and Heterogeneous Media 2 Journal of Engineering Mathematics 1 IMA Journal of Numerical Analysis 1 Journal of Differential Equations 1 Chinese Annals of Mathematics. Series B 1 Applied Numerical Mathematics 1 European Journal of Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Electronic Journal of Differential Equations (EJDE) 1 Skrifter. Det Kongelige Norske Videnskabers Selskab 1 Computing and Visualization in Science 1 Scientia. Series A: Mathematical Sciences. New Series 1 PAMM. Proceedings in Applied Mathematics and Mechanics
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#### Fields

 26 Numerical analysis (65-XX) 24 Partial differential equations (35-XX) 13 Fluid mechanics (76-XX) 3 Mechanics of deformable solids (74-XX) 3 Operations research, mathematical programming (90-XX) 2 Approximations and expansions (41-XX) 2 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Biology and other natural sciences (92-XX)

#### Citations contained in zbMATH Open

31 Publications have been cited 599 times in 206 Documents Cited by Year
Convergence of a difference scheme for conservation laws with a discontinuous flux. Zbl 0972.65060
Towers, John D.
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.
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.
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.
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.
2002
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.
2009
A difference scheme for conservation laws with a discontinuous flux: the nonconvex case. Zbl 1055.65104
Towers, John D.
2001
A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
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.
2008
On a nonlinear degenerate parabolic transport-diffusion equation with a discontinuous coefficient. Zbl 1015.35049
Karlsen, Kenneth H.; Risebro, Nils H.; Towers, John D.
2002
Two methods for discretizing a delta function supported on a level set. Zbl 1115.65028
Towers, John D.
2007
Monotone difference approximations for the simulation of clarifier-thickener units. Zbl 1299.76283
Bürger, R.; Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
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.
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.
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.
2017
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.
2003
Finite difference methods for approximating Heaviside functions. Zbl 1171.65014
Towers, John D.
2008
A convergence rate theorem for finite difference approximations to delta functions. Zbl 1155.65016
Towers, John D.
2008
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
2004
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.
2006
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
2005
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
2018
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.
2010
Discretizing delta functions via finite differences and gradient normalization. Zbl 1167.65007
Towers, John D.
2009
A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction. Zbl 06638248
Towers, John D.
2016
Finite difference methods for discretizing singular source terms in a Poisson interface problem. Zbl 1216.65143
Towers, John D.
2010
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.
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.
2005
Convergence via OSLC of the Godunov scheme for a scalar conservation law with time and space flux discontinuities. Zbl 1395.65042
Towers, John D.
2018
An existence result for conservation laws having BV spatial flux heterogeneities – without concavity. Zbl 1440.35213
Towers, John D.
2020
A source term method for Poisson problems on irregular domains. Zbl 1422.65327
Towers, John D.
2018
An existence result for conservation laws having BV spatial flux heterogeneities – without concavity. Zbl 1440.35213
Towers, John D.
2020
Convergence of the Godunov scheme for a scalar conservation law with time and space discontinuities. Zbl 1406.35190
Towers, John D.
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.
2018
A source term method for Poisson problems on irregular domains. Zbl 1422.65327
Towers, John D.
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.
2017
A fixed grid, shifted stencil scheme for inviscid fluid-particle interaction. Zbl 06638248
Towers, John D.
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.
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.
2010
Finite difference methods for discretizing singular source terms in a Poisson interface problem. Zbl 1216.65143
Towers, John D.
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.
2009
Discretizing delta functions via finite differences and gradient normalization. Zbl 1167.65007
Towers, John D.
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.
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.
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.
2008
Finite difference methods for approximating Heaviside functions. Zbl 1171.65014
Towers, John D.
2008
A convergence rate theorem for finite difference approximations to delta functions. Zbl 1155.65016
Towers, John D.
2008
Two methods for discretizing a delta function supported on a level set. Zbl 1115.65028
Towers, John D.
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.
2006
A model of continuous sedimentation of flocculated suspensions in clarifier-thickener units. Zbl 1089.76061
Bürger, Raimund; Karlsen, Kenneth H.; Towers, John D.
2005
On conservation laws with discontinuous flux. Zbl 1076.76069
Bürger, Raimund; Karlsen, Kenneth H.; Mishra, Siddharta; Towers, John D.
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.
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.
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.
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.
2004
Front tracking for scalar balance equations. Zbl 1053.35088
Karlsen, K. H.; Risebro, N. H.; Towers, J. D.
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.
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.
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.
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.
2002
A difference scheme for conservation laws with a discontinuous flux: the nonconvex case. Zbl 1055.65104
Towers, John D.
2001
Convergence of a difference scheme for conservation laws with a discontinuous flux. Zbl 0972.65060
Towers, John D.
2000
all top 5

#### Cited by 269 Authors

 26 Bürger, Raimund 20 Karlsen, Kenneth Hvistendahl 14 Risebro, Nils Henrik 13 Andreianov, Boris 13 Towers, John D. 11 Diehl, Stefan 11 Mishra, Siddhartha 9 Gowda, G. D. Veerappa 8 Adimurthi, A. 7 Goatin, Paola 6 Cancès, Clément 5 Abreu, Eduardo 5 Gibou, Frédéric 5 Panov, Evgeniy Yu. 4 Coclite, Giuseppe Maria 4 Ghoshal, Shyam Sundar 4 Sepúlveda, Mauricio A. 4 Shen, Chun 4 Wang, Guodong 3 Berres, Stefan 3 Choi, Keechoo 3 Guerra, Graziano 3 Klingenberg, Christian 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 Villada, Luis Miguel 3 Wen, Xin 3 Zhang, Peng 2 Acosta, Carlos Daniel 2 Amadori, Debora 2 Briani, Maya 2 Bustos, Abel 2 Chalons, Christophe 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 Gwiazda, Piotr 2 Hilhorst, Danielle 2 Kolahdouz, Ebrahim M. 2 Kröker, Ilja 2 Kummer, Florian 2 Lambert, Wanderson J. 2 Mejía, Carlos E. 2 Min, Chohong 2 Mitrovic, Darko 2 Oberlack, Martin 2 Piccoli, Benedetto 2 Qiao, Dianliang 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 Vohralík, Martin 2 Vovelle, Julien 2 Wang, Zhongming 2 Wong, Siu Chung 2 Wong, Sze Chun 2 Zhang, Peng 1 Aggarwal, Aekta 1 Ammar, Kaouther 1 Ancona, Fabio 1 Aniszewski, Wojciech 1 Bachmann, Florence 1 Badwaik, Jayesh 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 1 Caron, Pablo A. 1 Chen, Gui-Qiang G. 1 Cheng, Hongjun 1 Chiarello, Felisia Angela ...and 169 more Authors
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#### Cited in 66 Serials

 24 Journal of Computational Physics 12 Journal of Differential Equations 9 Journal of Engineering Mathematics 9 Journal of Hyperbolic Differential Equations 8 Mathematics of Computation 8 Networks and Heterogeneous Media 7 Numerische Mathematik 7 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 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 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 Applied Mathematics 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 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 Acta Applicandae Mathematicae 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 International Journal of Differential Equations 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
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#### Cited in 21 Fields

 144 Partial differential equations (35-XX) 119 Numerical analysis (65-XX) 73 Fluid mechanics (76-XX) 25 Operations research, mathematical programming (90-XX) 7 Statistical mechanics, structure of matter (82-XX) 5 Probability theory and stochastic processes (60-XX) 5 Mechanics of deformable solids (74-XX) 5 Biology and other natural sciences (92-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Functional analysis (46-XX) 3 Operator theory (47-XX) 2 Ordinary differential equations (34-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of particles and systems (70-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Geophysics (86-XX) 2 Systems theory; control (93-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Optics, electromagnetic theory (78-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)