Random Ordinary Differential Equations and Their Numerical Solution - Couverture souple
Livre 1 sur 34: Probability Theory and Stochastic Modelling
Synopsis
Makes recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership
Develops numerical methods for random ODEs (RODEs)
Highlights important applications, with a focus on dynamical behavior and the biological sciences
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
Professor Peter E. Kloeden has wide interests in the applications of mathematical analysis, numerical analysis, stochastic analysis and dynamical systems. He is the coauthor of several influential books on nonautonomous dynamical systems, metric spaces of fuzzy sets, and in particular "Numerical Solutions of Stochastic Differential equations" (with E. Platen) published by Springer in 1992. Professor Kloeden is a Fellow of the Australian Mathematical Society and the Society of Industrial and Applied Mathematics. He was awarded the W.T. & Idalia Reid Prize from Society of Applied and Industrial Mathematics in 2006. His current interests focus on nonautonomous and random dynamical systems and their applications in the biological sciences.
Professor Xiaoying Han's main research interests are in random and nonautonomous dynamical systems and their applications. In addition to mathematical analysis of dynamical systems, she is also interested in modeling and simulation of applied dynamical systems in biology, chemical engineering, ecology, material sciences, etc. She is the coauthor of the books "Applied Nonautonomous and Random Dynamical Systems" (with T. Caraballo) and "Attractors under Discretisation" (with P. E. Kloeden), published in the SpringerBrief series.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
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Random Ordinary Differential Equations and Their Numerical Solution (Probability Theory and Stochastic Modelling, 85)
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Random Ordinary Differential Equations and Their Numerical Solution (Probability Theory and Stochastic Modelling, 85)
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Random Ordinary Differential Equations and Their Numerical Solution
Edité par
Springer Nature Singapore Dez 2018, 2018
ISBN 10 : 981134843X
ISBN 13 : 9789811348433
Neuf
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems. In addition, it demonstrates how RODEs are being used in the biological sciences, where non-Gaussian and bounded noise are often more realistic than the Gaussian white noise in stochastic differential equations (SODEs). RODEs are used in many important applications and play a fundamental role in the theory of random dynamical systems. They can be analyzed pathwise with deterministic calculus, but require further treatment beyond that of classical ODE theory due to the lack of smoothness in their time variable. Although classical numerical schemes for ODEs can be used pathwise for RODEs, they rarely attain their traditional order since the solutions of RODEs do not have sufficient smoothness to have Taylor expansions in the usual sense. However, Taylor-like expansions can be derived for RODEs using an iterated application of the appropriate chain rule in integral form, and represent the starting point for the systematic derivation of consistent higher order numerical schemes for RODEs. The book is directed at a wide range of readers in applied and computational mathematics and related areas as well as readers who are interested in the applications of mathematical models involving random effects, in particular in the biological sciences.The level of this book is suitable for graduate students in applied mathematics and related areas, computational sciences and systems biology. A basic knowledge of ordinary differential equations and numerical analysis is required. 268 pp. Englisch. N° de réf. du vendeur 9789811348433
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Random Ordinary Differential Equations and Their Numerical Solution
Edité par
Springer Singapore, 2018
ISBN 10 : 981134843X
ISBN 13 : 9789811348433
Neuf
Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Professor Peter E. Kloeden has wide interests in the applications of mathematical analysis, numerical analysis, stochastic analysis and dynamical systems.  He is the coauthor of several influential books on nonautonomous dynamical systems, metric space. N° de réf. du vendeur 449937633
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Random Ordinary Differential Equations and Their Numerical Solution
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Taschenbuch. Etat : Neu. Random Ordinary Differential Equations and Their Numerical Solution | Peter E. Kloeden (u. a.) | Taschenbuch | xvii | Englisch | 2018 | Springer Singapore | EAN 9789811348433 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. N° de réf. du vendeur 115113914
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Random Ordinary Differential Equations and Their Numerical Solution
Edité par
Springer Nature Singapore, Springer Nature Singapore Dez 2018, 2018
ISBN 10 : 981134843X
ISBN 13 : 9789811348433
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. Neuware -This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems. In addition, it demonstrates how RODEs are being used in the biological sciences, where non-Gaussian and bounded noise are often more realistic than the Gaussian white noise in stochastic differential equations (SODEs).RODEs are used in many important applications and play a fundamental role in the theory of random dynamical systems. They can be analyzed pathwise with deterministic calculus, but require further treatment beyond that of classical ODE theory due to the lack of smoothness in their time variable. Although classical numerical schemes for ODEs can be used pathwise for RODEs, they rarely attain their traditional order since the solutions of RODEs do not have sufficient smoothness to have Taylor expansions in the usual sense. However, Taylor-like expansions can be derived for RODEs using an iterated application of the appropriate chain rule in integral form, and represent the starting point for the systematic derivation of consistent higher order numerical schemes for RODEs.The book is directed at a wide range of readers in applied and computational mathematics and related areas as well as readers who are interested in the applications of mathematical models involving random effects, in particular in the biological sciences.The level of this book is suitable for graduate students in applied mathematics and related areas, computational sciences and systems biology. A basic knowledge of ordinary differential equations and numerical analysis is required.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 268 pp. Englisch. N° de réf. du vendeur 9789811348433
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Random Ordinary Differential Equations and Their Numerical Solution
Edité par
Springer Nature Singapore, Springer Nature Singapore, 2018
ISBN 10 : 981134843X
ISBN 13 : 9789811348433
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - This book is intended to make recent results on the derivation of higher order numerical schemes for random ordinary differential equations (RODEs) available to a broader readership, and to familiarize readers with RODEs themselves as well as the closely associated theory of random dynamical systems. In addition, it demonstrates how RODEs are being used in the biological sciences, where non-Gaussian and bounded noise are often more realistic than the Gaussian white noise in stochastic differential equations (SODEs). RODEs are used in many important applications and play a fundamental role in the theory of random dynamical systems. They can be analyzed pathwise with deterministic calculus, but require further treatment beyond that of classical ODE theory due to the lack of smoothness in their time variable. Although classical numerical schemes for ODEs can be used pathwise for RODEs, they rarely attain their traditional order since the solutions of RODEs do not have sufficient smoothness to have Taylor expansions in the usual sense. However, Taylor-like expansions can be derived for RODEs using an iterated application of the appropriate chain rule in integral form, and represent the starting point for the systematic derivation of consistent higher order numerical schemes for RODEs. The book is directed at a wide range of readers in applied and computational mathematics and related areas as well as readers who are interested in the applications of mathematical models involving random effects, in particular in the biological sciences.The level of this book is suitable for graduate students in applied mathematics and related areas, computational sciences and systems biology. A basic knowledge of ordinary differential equations and numerical analysis is required. N° de réf. du vendeur 9789811348433
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