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## Dunbar, Steven R.

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 Author ID: dunbar.steven-r Published as: Dunbar, S. R.; Dunbar, Steven R.
 Documents Indexed: 24 Publications since 1983, including 1 Book
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#### Co-Authors

 8 single-authored 5 Fabrykowski, Jacek 2 Douglass, Rod W. 2 Feng, Zuming 2 Othmer, Hans G. 2 Rousseau, Cecil C. 1 Alt, Wolfgang 1 Bosman, Reinier J. C. 1 Camp, W. J. 1 Dawkins, Paul T. 1 Gelca, Răzvan 1 Le, Ian 1 Logan, John David 1 Nooij, Sander E. M. 1 Rybakowski, Krzysztof P. 1 Schmitt, Klaus
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#### Serials

 10 Mathematics Magazine 2 Journal of Mathematical Biology 2 SIAM Journal on Applied Mathematics 1 IMA Journal of Applied Mathematics 1 Journal of Computational Physics 1 Journal of Mathematical Analysis and Applications 1 Journal of Differential Equations 1 Transactions of the American Mathematical Society 1 SIAM Journal on Mathematical Analysis 1 The College Mathematics Journal 1 AMS/MAA Textbooks
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#### Fields

 9 Mathematics education (97-XX) 8 Partial differential equations (35-XX) 7 Biology and other natural sciences (92-XX) 5 Probability theory and stochastic processes (60-XX) 4 Ordinary differential equations (34-XX) 3 Dynamical systems and ergodic theory (37-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Fluid mechanics (76-XX) 1 Geophysics (86-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

#### Citations contained in zbMATH Open

15 Publications have been cited 520 times in 416 Documents Cited by Year
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
1988
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
1983
Traveling wave solutions of diffusive Lotka-Volterra equations: A heteroclinic connection in $$R^ 4$$. Zbl 0556.35078
Dunbar, Steven R.
1984
Traveling waves in diffusive predator-prey equations: Periodic orbits and point-to-periodic heteroclinic orbits. Zbl 0617.92020
Dunbar, Steven R.
1986
Persistence in models of predator-prey populations with diffusion. Zbl 0605.34044
Dunbar, S. R.; Rybakowski, K. P.; Schmitt, K.
1986
On a nonlinear hyperbolic equation describing transmission lines, cell movement, and branching random walks. Zbl 0592.92003
Dunbar, Steven R.; Othmer, Hans G.
1986
Geometric analysis of a nonlinear boundary value problem from physical oceanography. Zbl 0770.34021
Dunbar, Steven R.
1993
The origin and nature of spurious eigenvalues in the spectral tau method. Zbl 0924.65077
Dawkins, Paul T.; Dunbar, Steven R.; Douglass, Rod W.
1998
A branching random evolution and a nonlinear hyperbolic equation. Zbl 0664.60082
Dunbar, Steven R.
1988
The average distance between points in geometric figures. Zbl 0995.52500
Dunbar, Steven R.
1997
Fabrykowski, Jacek; Dunbar, Steven R.
2012
37th United States of America Mathematical Olympiad. Zbl 1223.97004
Rousseau, Cecil; Dunbar, Steven R.
2009
The track of a bicycle back tire. Zbl 1153.70306
Dunbar, Steven R.; Bosman, Reinier J. C.; Nooij, Sander E. M.
2001
Travelling waves in model reacting flows with reversible kinetics. Zbl 0759.76077
Logan, J. David; Dunbar, Steven R.
1992
The divider dimension of the graph of a function. Zbl 0756.28004
Dunbar, Steven R.; Douglass, Rod W.; Camp, W. J.
1992
Fabrykowski, Jacek; Dunbar, Steven R.
2012
37th United States of America Mathematical Olympiad. Zbl 1223.97004
Rousseau, Cecil; Dunbar, Steven R.
2009
The track of a bicycle back tire. Zbl 1153.70306
Dunbar, Steven R.; Bosman, Reinier J. C.; Nooij, Sander E. M.
2001
The origin and nature of spurious eigenvalues in the spectral tau method. Zbl 0924.65077
Dawkins, Paul T.; Dunbar, Steven R.; Douglass, Rod W.
1998
The average distance between points in geometric figures. Zbl 0995.52500
Dunbar, Steven R.
1997
Geometric analysis of a nonlinear boundary value problem from physical oceanography. Zbl 0770.34021
Dunbar, Steven R.
1993
Travelling waves in model reacting flows with reversible kinetics. Zbl 0759.76077
Logan, J. David; Dunbar, Steven R.
1992
The divider dimension of the graph of a function. Zbl 0756.28004
Dunbar, Steven R.; Douglass, Rod W.; Camp, W. J.
1992
Models of dispersal in biological systems. Zbl 0713.92018
Othmer, Hans G.; Dunbar, S. R.; Alt, W.
1988
A branching random evolution and a nonlinear hyperbolic equation. Zbl 0664.60082
Dunbar, Steven R.
1988
Traveling waves in diffusive predator-prey equations: Periodic orbits and point-to-periodic heteroclinic orbits. Zbl 0617.92020
Dunbar, Steven R.
1986
Persistence in models of predator-prey populations with diffusion. Zbl 0605.34044
Dunbar, S. R.; Rybakowski, K. P.; Schmitt, K.
1986
On a nonlinear hyperbolic equation describing transmission lines, cell movement, and branching random walks. Zbl 0592.92003
Dunbar, Steven R.; Othmer, Hans G.
1986
Traveling wave solutions of diffusive Lotka-Volterra equations: A heteroclinic connection in $$R^ 4$$. Zbl 0556.35078
Dunbar, Steven R.
1984
Travelling wave solutions of diffusive Lotka-Volterra equations. Zbl 0509.92024
Dunbar, Steven R.
1983
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#### Cited by 639 Authors

 17 Hillen, Thomas 14 Bellomo, Nicola 14 Painter, Kevin J. 10 Perthame, Benoît 9 Bellouquid, Abdelghani 9 Sherratt, Jonathan A. 8 Calvez, Vincent 8 Petrovskii, Sergei V. 7 Al-Said, Eisa A. 7 Noor, Muhammad Aslam 7 Zhang, Tianran 6 Bianca, Carlo 6 de Vries, Gerda 6 Li, Wan-Tong 6 Lin, Guo 6 Othmer, Hans G. 6 Ruan, Shigui 6 Soler, Juan S. 6 Vauchelet, Nicolas 5 Chaplain, Mark A. J. 5 Erban, Radek 5 Schmeiser, Christian 5 Xue, Chuan 5 Zhao, Xiao-Qiang 4 Edelstein-Keshet, Leah 4 Huang, Wenzhang 4 Hutson, V. C. L. 4 Lachowicz, Mirosław 4 Lewis, Mark Alun 4 Maini, Philip Kumar 4 Malchow, Horst 4 Nieto, Juanjo 4 Pan, Shuxia 4 Shen, Wenxian 4 Simpson, Matthew J. 4 Surulescu, Christina 4 Vickers, Glenn T. 4 Wang, Wendi 3 Baker, Ruth Elizabeth 3 Barbera, Elvira 3 Campos, Daniel G. 3 Chalub, Fabio A. C. C. 3 Chouhad, Nadia 3 Currò, Carmela 3 Ducrot, Arnaud 3 Feng, Wei 3 Feng, Zhaosheng 3 Gerisch, Alf 3 Hosono, Yuzo 3 Hou, Xiaojie 3 Hutson, Vivian 3 Loy, Nadia 3 Lu, Xin 3 Méndez, Vicenç 3 Preziosi, Luigi 3 Shigesada, Nanako 3 Tranquillo, Robert T. 3 Valenti, Giovanna 3 Wang, Kaifa 3 Wang, Zhi Cheng 3 Wang, Zhian 3 Weng, Peixuan 3 Wu, Chufen 3 Yang, Ting-Hui 3 Yasuda, Shugo 3 Yuan, Rong 2 Ai, Shangbing 2 Almanasreh, Hasan 2 Alt, Wolfgang 2 Bai, Xueli 2 Banerjee, Malay 2 Bao, Xiongxiong 2 Bellouquid, Abdel 2 Bhattacharyya, Rakhi 2 Bouin, Emeric 2 Bournaveas, Nikolaos 2 Bressloff, Paul C. 2 Burini, Diletta 2 Buttenschön, Andreas 2 Chertock, Alina E. 2 Cosner, Chris 2 Czapla, Dawid 2 Dagbovie, Ayawoa S. 2 Dawes, Adriana T. 2 Deutsch, Andreas 2 Ding, Wei 2 Eftimie, Radu 2 Emelianenko, Maria 2 Franz, Benjamin 2 Giletti, Thomas 2 Gosse, Laurent 2 Grünbaum, Daniel 2 Guo, Jong-Shenq 2 Ha, Seung-Yeal 2 Hadeler, Karl-Peter 2 Hill, Nicholas A. 2 Hsu, Cheng-Hsiung 2 Jabin, Pierre-Emmanuel 2 Jin, Yu 2 Kang, Kyungkeun ...and 539 more Authors
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#### Cited in 114 Serials

 44 Journal of Mathematical Biology 23 Bulletin of Mathematical Biology 22 Journal of Differential Equations 22 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 13 Journal of Mathematical Analysis and Applications 12 Journal of Theoretical Biology 11 Mathematical Biosciences 10 Journal of Dynamics and Differential Equations 9 Applied Mathematics and Computation 9 Nonlinear Analysis. Real World Applications 9 Discrete and Continuous Dynamical Systems. Series B 9 Kinetic and Related Models 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Mathematical and Computer Modelling 7 SIAM Journal on Applied Mathematics 7 Communications on Pure and Applied Analysis 6 Theoretical Population Biology 6 Physica D 6 Nonlinear Analysis. Theory, Methods & Applications 5 Computers & Mathematics with Applications 5 Mathematical Methods in the Applied Sciences 5 Nonlinearity 5 Applied Mathematical Modelling 5 Abstract and Applied Analysis 5 International Journal of Biomathematics 4 Journal of Computational Physics 4 Applied Mathematics Letters 4 International Journal of Computer Mathematics 3 Journal of Fluid Mechanics 3 Rocky Mountain Journal of Mathematics 3 Journal of Computational and Applied Mathematics 3 Japan Journal of Industrial and Applied Mathematics 3 Journal of Nonlinear Science 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Biological Dynamics 3 Journal of Physics A: Mathematical and Theoretical 3 Mathematical Modelling of Natural Phenomena 2 Applicable Analysis 2 Bulletin of the Australian Mathematical Society 2 International Journal of Systems Science 2 Physica A 2 Chaos, Solitons and Fractals 2 Journal of Optimization Theory and Applications 2 Stochastic Analysis and Applications 2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 2 SIAM Journal on Mathematical Analysis 2 Calculus of Variations and Partial Differential Equations 2 Discrete and Continuous Dynamical Systems 2 Differential Equations and Dynamical Systems 2 Journal of Applied Mathematics 2 Multiscale Modeling & Simulation 2 Advances in Difference Equations 2 Journal of Statistical Mechanics: Theory and Experiment 1 Archive for Rational Mechanics and Analysis 1 Communications on Pure and Applied Mathematics 1 Israel Journal of Mathematics 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Wave Motion 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Duke Mathematical Journal 1 Journal of Applied Probability 1 Mathematics and Computers in Simulation 1 Quarterly of Applied Mathematics 1 SIAM Journal on Numerical Analysis 1 Systems & Control Letters 1 Acta Applicandae Mathematicae 1 Japan Journal of Applied Mathematics 1 Revista Matemática Iberoamericana 1 Numerical Methods for Partial Differential Equations 1 Dynamics and Stability of Systems 1 Journal of Scientific Computing 1 Journal of Integral Equations and Applications 1 Applications of Mathematics 1 Journal of Global Optimization 1 Computational Mathematics and Mathematical Physics 1 Aequationes Mathematicae 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Stochastic Processes and their Applications 1 Bulletin of the American Mathematical Society. New Series 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Indagationes Mathematicae. New Series 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Physics of Fluids 1 Applied and Computational Harmonic Analysis 1 Electronic Journal of Differential Equations (EJDE) 1 Journal of the Egyptian Mathematical Society 1 Mathematics and Mechanics of Solids 1 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 1 Nonlinear Dynamics 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Methodology and Computing in Applied Probability 1 International Journal of Modern Physics C 1 Dynamical Systems ...and 14 more Serials
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#### Cited in 33 Fields

 301 Biology and other natural sciences (92-XX) 278 Partial differential equations (35-XX) 55 Probability theory and stochastic processes (60-XX) 52 Ordinary differential equations (34-XX) 49 Numerical analysis (65-XX) 34 Dynamical systems and ergodic theory (37-XX) 33 Statistical mechanics, structure of matter (82-XX) 27 Integral equations (45-XX) 14 Operator theory (47-XX) 12 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Fluid mechanics (76-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Systems theory; control (93-XX) 6 Statistics (62-XX) 4 Convex and discrete geometry (52-XX) 4 Computer science (68-XX) 3 Mechanics of deformable solids (74-XX) 3 Optics, electromagnetic theory (78-XX) 3 Geophysics (86-XX) 2 Real functions (26-XX) 1 History and biography (01-XX) 1 Measure and integration (28-XX) 1 Difference and functional equations (39-XX) 1 Approximations and expansions (41-XX) 1 Integral transforms, operational calculus (44-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 General topology (54-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Mechanics of particles and systems (70-XX) 1 Operations research, mathematical programming (90-XX) 1 Information and communication theory, circuits (94-XX)