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Verlag: Nomos Verlagsgesellschaft Mbh & Co, 2024
ISBN 10: 3756002489 ISBN 13: 9783756002481
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Sprache: Englisch
Verlag: Springer Distribution Center GmbH (SDC), 2013
ISBN 10: 331902230X ISBN 13: 9783319022307
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Brossura. Zustand: fine. Heidelberg, 2013; br., pp. 196, cm 23,5x15,5. Libro.
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ISBN 10: 3756002489 ISBN 13: 9783756002481
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting. The numerical schemes considered combine Galerkin finite element methods with Euler-type temporal approximations. Starting from a precise analysis of the spatio-temporal regularity of the mild solution to the SEEq, we derive and prove optimal error estimates of the strong error of convergence in the first part of the book.The second part deals with a new approach to the so-called weak error of convergence, which measures the distance between the law of the numerical solution and the law of the exact solution. This approach is based on Bismut's integration by parts formula and the Malliavin calculus for infinite dimensional stochastic processes. These techniques are developed and explained in a separate chapter, before the weak convergence is proven for linear SEEq.
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Taschenbuch. Zustand: Neu. Strong and Weak Approximation of Semilinear Stochastic Evolution Equations | Raphael Kruse | Taschenbuch | Lecture Notes in Mathematics | xiv | Englisch | 2013 | Springer | EAN 9783319022307 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu.
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Zustand: Sehr gut. Zustand: Sehr gut | Sprache: Englisch | Produktart: Bücher | In this book we analyze the error caused by numerical schemes for the approximation of semilinear stochastic evolution equations (SEEq) in a Hilbert space-valued setting. The numerical schemes considered combine Galerkin finite element methods with Euler-type temporal approximations. Starting from a precise analysis of the spatio-temporal regularity of the mild solution to the SEEq, we derive and prove optimal error estimates of the strong error of convergence in the first part of the book.The second part deals with a new approach to the so-called weak error of convergence, which measures the distance between the law of the numerical solution and the law of the exact solution. This approach is based on Bismut¿s integration by parts formula and the Malliavin calculus for infinite dimensional stochastic processes. These techniques are developed and explained in a separate chapter, before the weak convergence is proven for linear SEEq.
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Zustand: New. 2024th edition NO-PA16APR2015-KAP.
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Verlag: Vs Verlag Fur Sozialwissenschaften, 2024
ISBN 10: 3658444673 ISBN 13: 9783658444679
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In den WarenkorbPaperback. Zustand: Brand New. 160 pages. German language. 8.66x5.91x0.37 inches. In Stock.
Taschenbuch. Zustand: Neu. Diskrete Approximation stochastischer Prozesse | Analyse numerischer Verfahren für gewöhnliche und partielle stochastische Differentialgleichungen | Raphael Kruse | Taschenbuch | Deutsch | VDM Verlag Dr. Müller | EAN 9783639313727 | Verantwortliche Person für die EU: preigu GmbH & Co. KG, Lengericher Landstr. 19, 49078 Osnabrück, mail[at]preigu[dot]de | Anbieter: preigu.