• 818 Citations
  • 15 h-Index
1988 …2016

Research output per year

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Research Output

  • 818 Citations
  • 15 h-Index
  • 72 Article
  • 1 Conference contribution
  • 1 Conference article
  • 1 Editorial

Acid-base diodes in a hydrogel medium. Nonlinear response for mono- and divalent contaminating ions: Theory and experiments

Kirschner, N., Simon, P. L., Wittmann, M., Noszticzius, Z. & Merkin, J., Dec 1 2000, In : Macromolecular Symposia. 160, p. 167-173 7 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

A contact-network-based formulation of a preferential mixing model

Kiss, I. Z., Simon, P. L. & Kao, R. R., May 1 2009, In : Bulletin of Mathematical Biology. 71, 4, p. 888-905 18 p.

Research output: Contribution to journalArticle

10 Citations (Scopus)

Analysis of the electrolyte diode. Electro-diffusion and chemical reaction within a hydrogel reactor

Merkin, J. H., Simon, P. L. & Noszticzius, Z., Dec 2000, In : Journal of Mathematical Chemistry. 28, 1-3, p. 43-58 16 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)
12 Citations (Scopus)
2 Citations (Scopus)

Approximate master equations for dynamical processes on graphs

Nagy, N., Kiss, I. Z. & Simon, P. L., 2014, In : Mathematical Modelling of Natural Phenomena. 9, 2, p. 43-57 15 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

A retarded differential equation model of wave propagation in a thin ring

Simon, P. L., Jan 1 2001, In : SIAM Journal on Applied Mathematics. 61, 5, p. 1618-1627 10 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
1 Citation (Scopus)

Bifurcation analysis of an oscillatory CNN model with two cells

Garay, B. M. & Simon, P. L., May 1 2008, In : Journal of Applied Mathematics and Computing. 27, 1-2, p. 199-210 12 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)

Bifurcations for semilinear elliptic equations with convex nonlinearity

Karátson, J. & Simon, P. L., Oct 18 1999, In : Electronic Journal of Differential Equations. 1999, p. 1-16 16 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)
1 Citation (Scopus)

Constructing global bifurcation diagrams by the parametric representation method

Simon, P. L., Farkas, H. & Wittmann, M., Aug 15 1999, In : Journal of Computational and Applied Mathematics. 108, 1-2, p. 157-176 20 p.

Research output: Contribution to journalArticle

Open Access
15 Citations (Scopus)

Detailed study of limit cycles and global bifurcations in a circadian rhythm model

Simon, P. L. & Volford, A., Feb 2006, In : International Journal of Bifurcation and Chaos. 16, 2, p. 349-367 19 p.

Research output: Contribution to journalArticle

3 Citations (Scopus)

Differential equation approximations of stochastic network processes: An operator semigroup approach

Bátkai, A., Kiss, I. Z., Sikolya, E. & Simon, P. L., Dec 18 2012, In : Networks and Heterogeneous Media. 7, 1, p. 43-58 16 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Direct evidence for fixed ionic groups in the hydrogel of an electrolyte diode

Iván, K., Kirschner, N., Wittmann, M., Simon, P. L., Simon, P. L., Jakab, V., Noszticzius, Z., Merkin, J. H. & Scott, S. K., Jan 1 2002, In : Physical Chemistry Chemical Physics. 4, 8, p. 1339-1347 9 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)

Dynamic control of modern, network-based epidemic models

Sélley, F., Besenyei, Á., Kiss, I. Z. & Simon, P. L., Jan 1 2015, In : SIAM Journal on Applied Dynamical Systems. 14, 1, p. 168-187 20 p.

Research output: Contribution to journalArticle

13 Citations (Scopus)

Electric field effects on travelling waves in the oregonator model for the Belousov-Zhabotinsky reaction

Kiss, I., Merkin, J. H., Scott, S. K. & Simon, P. L., Nov 1 2004, In : Quarterly Journal of Mechanics and Applied Mathematics. 57, 4, p. 467-494 28 p.

Research output: Contribution to journalArticle

7 Citations (Scopus)
13 Citations (Scopus)
10 Citations (Scopus)

Electrolyte diodes with weak acids and bases. II. Numerical model calculations and experiments

Iván, K., Wittmann, M., Simon, Ṕ. L., Noszticzius, Z. & Šnita, D., Nov 7 2005, In : Journal of Chemical Physics. 123, 16, 164510.

Research output: Contribution to journalArticle

7 Citations (Scopus)

Evans function analysis of the stability of non-adiabatic flames

Simon, P. L., Kalliadasis, S., Merkin, J. H. & Scott, S. K., Sep 1 2003, In : Combustion Theory and Modelling. 7, 3, p. 545-561 17 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Exact deterministic representation of Markovian SIR epidemics on networks with and without loops

Kiss, I. Z., Morris, C. G., Sélley, F., Simon, P. L. & Wilkinson, R. R., Jan 1 2014, In : Journal of Mathematical Biology. 70, 3, p. 437-464 28 p.

Research output: Contribution to journalArticle

16 Citations (Scopus)

Exact epidemic models on graphs using graph-automorphism driven lumping

Simon, P. L., Taylor, M. & Kiss, I. Z., Apr 1 2011, In : Journal of Mathematical Biology. 62, 4, p. 479-508 30 p.

Research output: Contribution to journalArticle

57 Citations (Scopus)

Exact Equations for SIR Epidemics on Tree Graphs

Sharkey, K. J., Kiss, I. Z., Wilkinson, R. R. & Simon, P. L., Apr 1 2015, In : Bulletin of Mathematical Biology. 77, 4, p. 614-645 32 p.

Research output: Contribution to journalArticle

18 Citations (Scopus)
10 Citations (Scopus)

Exact multiplicity of positive solutions for a class of singular semilinear equations

Simon, P. L., Apr 1 2009, In : Differential Equations and Dynamical Systems. 17, 1-2, p. 147-161 15 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Exact Multiplicity of Positive Solutions for a Class of Singular Semilinear Equations

Simon, P. L., Oct 1 2010, In : Differential Equations and Dynamical Systems. 18, 4, p. 415-429 15 p.

Research output: Contribution to journalArticle

1 Citation (Scopus)
14 Citations (Scopus)

From Markovian to pairwise epidemic models and the performance of moment closure approximations

Taylor, M., Simon, P. L., Green, D. M., House, T. & Kiss, I. Z., May 1 2012, In : Journal of Mathematical Biology. 64, 6, p. 1021-1042 22 p.

Research output: Contribution to journalArticle

36 Citations (Scopus)

Gasless combustion fronts with heat loss

Ghazaryan, A., Schecter, S. & Simon, P. L., Sep 19 2013, In : SIAM Journal on Applied Mathematics. 73, 3, p. 1303-1326 24 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)

Geometric theory of trigger waves - A dynamical system approach

Simon, P. L. & Farkas, H., Sep 1996, In : Journal of Mathematical Chemistry. 19, 3, p. 301-315 15 p.

Research output: Contribution to journalArticle

11 Citations (Scopus)

Has HIV evolved to induce immune pathogenesis?

Bartha, I., Simon, P. & Müller, V., Jul 1 2008, In : Trends in Immunology. 29, 7, p. 322-328 7 p.

Research output: Contribution to journalArticle

14 Citations (Scopus)

Identification of criticality in neuronal avalanches: I. A theoretical investigation of the non-driven case

Taylor, T. J., Hartley, C., Simon, P. L., Kiss, I. Z. & Berthouze, L., Jan 1 2013, In : Journal of Mathematical Neuroscience. 3, 1, p. 1-26 26 p., 5.

Research output: Contribution to journalArticle

12 Citations (Scopus)

Inhibition of flame propagation by an endothermic reaction

Simon, P. L., Kalliadasis, S., Merkin, J. H. & Scott, S. K., Oct 1 2003, In : IMA Journal of Applied Mathematics (Institute of Mathematics and Its Applications). 68, 5, p. 537-562 26 p.

Research output: Contribution to journalArticle

17 Citations (Scopus)

Isothermal flame balls

Jakab, É., Horváth, D., Merkin, J. H., Scott, S. K., Simon, P. L. & Tóth, Á., Jul 15 2002, In : Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics. 66, 1

Research output: Contribution to journalArticle

12 Citations (Scopus)

Isothermal flame balls: Effect of autocatalyst decay

Jakab, É., Horváth, D., Merkin, J. H., Scott, S. K., Simon, P. L. & Tóth, Á., Sep 1 2003, In : Physical Review E - Statistical, Nonlinear, and Soft Matter Physics. 68, 3 2, p. 362101-362109 9 p., 036210.

Research output: Contribution to journalArticle

6 Citations (Scopus)

Large matrices arising in traveling wave bifurcations

Simon, P. L., Dec 1 2008, Large-Scale Scientific Computing - 6th International Conference, LSSC 2007, Revised Papers. p. 217-224 8 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 4818 LNCS).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Large scale scientific computations: Editorial introduction

Zlatev, Z., Faragó, I. & Simon, P. L., Apr 15 2009, In : Journal of Computational and Applied Mathematics. 226, 2, p. 187-189 3 p.

Research output: Contribution to journalEditorial

2 Citations (Scopus)

Modelling approaches for simple dynamic networks and applications to disease transmission models

Kiss, I. Z., Berthouze, L., Timothy, J. T. & Simon, P. L., May 8 2012, In : Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences. 468, 2141, p. 1332-1355 24 p.

Research output: Contribution to journalArticle

32 Citations (Scopus)

Monte Carlo simulation and analytic approximation of epidemic processes on large networks

Nagy, N. & Simon, P. L., Jan 1 2013, In : Central European Journal of Mathematics. 11, 4, p. 800-815 16 p.

Research output: Contribution to journalArticle

5 Citations (Scopus)

Multiple sources and routes of information transmission: Implications for epidemic dynamics

Hatzopoulos, V., Taylor, M., Simon, P. L. & Kiss, I. Z., Jun 1 2011, In : Mathematical Biosciences. 231, 2, p. 197-209 13 p.

Research output: Contribution to journalArticle

25 Citations (Scopus)

Multiplicity for semilinear elliptic equations involving singular nonlinearity

Hernández, J., Karátson, J. & Simon, P. L., Jul 15 2006, In : Nonlinear Analysis, Theory, Methods and Applications. 65, 2, p. 265-283 19 p.

Research output: Contribution to journalArticle

19 Citations (Scopus)

New Moment Closures Based on A Priori Distributions with Applications to Epidemic Dynamics

Kiss, I. Z. & Simon, P. L., Jul 1 2012, In : Bulletin of Mathematical Biology. 74, 7, p. 1501-1515 15 p.

Research output: Contribution to journalArticle

9 Citations (Scopus)

Nonexistence of solutions to KPP-type equations of dimension greater than or equal to one

Engländer, J. & Simon, P. L., Jan 24 2006, In : Electronic Journal of Differential Equations. 2006, p. 1-6 6 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Nonlinear effects of electrolyte diodes and transistors in a polymer gel medium

Hegedüs, L., Kirschner, N., Wittmann, M., Simon, P., Noszticzius, Z., Amemiya, T., Ohmori, T. & Yamaguchi, T., Jun 1999, In : Chaos. 9, 2, p. 283-297 15 p.

Research output: Contribution to journalArticle

29 Citations (Scopus)

Nonlinear elliptic differential equations with nonlocal boundary conditions

Simon, L., Sep 1 1990, In : Acta Mathematica Hungarica. 56, 3-4, p. 343-352 10 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

Numerical and analytical study of bifurcations in a model of electrochemical reactions in fuel cells

Csörgö, G. & Simon, P. L., Feb 1 2013, In : Computers and Mathematics with Applications. 65, 3, p. 325-337 13 p.

Research output: Contribution to journalArticle

Numerical flow-box theorems under structural assumptions

Garay, B. M. & Simon, P. L., Jul 1 2001, In : IMA Journal of Numerical Analysis. 21, 3, p. 733-749 17 p.

Research output: Contribution to journalArticle

2 Citations (Scopus)

On strongly nonlinear elliptic variational inequalities

Simon, L., Mar 1 1988, In : Acta Mathematica Hungarica. 52, 1-2, p. 147-164 18 p.

Research output: Contribution to journalArticle

4 Citations (Scopus)