This practical introduction to stochastic reaction-diffusion modelling is based on courses taught at the University of Oxford. The authors discuss the essence of mathematical methods which appear (under different names) in a number of interdisciplinary scientific fields bridging mathematics and comp
Stochastic modelling of reaction-diffusion processes
โ Scribed by Chapman, S. Jonathan; Erban, Radek
- Publisher
- Cambridge University Press
- Year
- 2020
- Tongue
- English
- Leaves
- 321
- Series
- Cambridge texts in applied mathematics
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Cover......Page 1
Front Matter......Page 2
Cambridge Texts in Applied Mathematics......Page 3
Stochastic Modelling ofReactionโDiffusion Processes......Page 4
Copyright......Page 5
Contents......Page 6
Preface......Page 10
1 Stochastic Simulation of Chemical Reactions......Page 14
2 Deterministic versus Stochastic Modelling......Page 46
3 Stochastic Differential Equations......Page 72
4 Diffusion......Page 108
5 Efficient Stochastic Modelling of ChemicalReactions......Page 150
6 Stochastic ReactionโDiffusion Models......Page 173
7 SSAs for ReactionโDiffusionโAdvectionProcesses......Page 205
8 Microscopic Models of Brownian Motion......Page 239
9 Multiscale and Multi-Resolution Methods......Page 281
References......Page 306
Appendix......Page 314
Index......Page 318
โฆ Subjects
Reaction-diffusion equations;Reaktions-Diffusionsgleichung;Stochastic processes;Stochastische Differentialgleichung;Stochastischer Prozess;Textbooks;Stochastic processes -- Textbooks;Reaction-diffusion equations -- Textbooks
๐ SIMILAR VOLUMES
Intends to provide solutions for two main problems in nonlinear diffusion stochastic processes of large numbers of variables: the unrealistic nature of a pure mathematics study of the subject, and the loss of meaning due to too much focus on numerical analyses. DLC: Engineering--Mathematical models.