| Titre : | Stochastic integral and differential equations in mathematical modelling |
| Auteurs : | Santanu Saha Ray, Auteur |
| Type de document : | document électronique |
| Editeur : | New Jersey : World Scientific, 2023 |
| ISBN/ISSN/EAN : | 978-1-80061-357-7 |
| Format : | 1 vol. (319 p.) / ill., couv. ill. en coul |
| Note générale : | Bibliogr.Index |
| Langues: | Anglais |
| Index. décimale : | 519.2 (Probabilités) |
| Catégories : | |
| Mots-clés: | Stochastic Processes Stochastic Differential Equation Wiener Processes Kudryashov Method Improved Sub-Equation Method Extended Auxiliary Equation Method |
| Résumé : |
The modelling of systems by differential equations usually requires that the parameters involved be completely known. Such models often originate from problems in physics or economics where we have insufficient information on parameter values. One important class of stochastic mathematical models is stochastic partial differential equations (SPDEs), which can be seen as deterministic partial differential equations (PDEs) with finite or infinite dimensional stochastic processes — either with colour noise or white noise. Though white noise is a purely mathematical construction, it can be a good model for rapid random fluctuations. Stochastic Integral and Differential Equations in Mathematical Modelling concerns the analysis of discrete-time approximations for stochastic differential equations (SDEs) driven by Wiener processes. It also provides a theoretical basis for working with SDEs and stochastic processes. This book is written in a simple and clear mathematical logical language, with basic definitions and theorems on stochastic calculus provided from the outset. Each chapter contains illustrated examples via figures and tables. The reader can also construct new wavelets by using the procedure presented in the book. Stochastic Integral and Differential Equations in Mathematical Modelling fulfils the existing gap in the literature for a comprehensive account of this subject area. |
| Note de contenu : |
Contents: - Preface. - About the Author. - List of Figures. - Index. - Introduction and Preliminaries of Stochastic Calculus. - Analytical Solutions of Stochastic Differential Equations. - Numerical Solutions of Stochastic Integral Equation. - Numerical Solutions of Multidimensional Stochastic Integral Equation. - Numerical Solutions of Stochastic Integral Equations with Fractional Brownian Motion. - Numerical Solutions of Stochastic Differential Equations Arising in Physical Phenomena. - Numerical Solutions of Stochastic Point Kinetics Equations. - Numerical Solutions of Fractional Stochastic Point Kinetics Equation. - Conclusions and Future Directions. - References. - Index. |
| Côte titre : |
EB/066 |
| En ligne : | https://www.worldscientific.com/doi/epdf/10.1142/q0401 |
Exemplaires (1)
| Cote | Support | Localisation | Disponibilité |
|---|---|---|---|
| EB/066 | Livre | Bibliothèque centrale | Disponible |
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