Synopsis
The numerical analysis of stochastic differential equations (SDEs) differs significantly from that of ordinary differential equations. This book provides an easily accessible introduction to SDEs, their applications and the numerical methods to solve such equations.
From the reviews:
"The authors draw upon their own research and experiences in obviously many disciplines... considerable time has obviously been spent writing this in the simplest language possible." --ZAMP
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Review
"... the authors draw upon their own research and experiences in obviously many disciplines... considerable time has obviously been spent writing this in the simplest language possible. This was not an easy task... Their exposition stresses clarity, not formality - a very welcome approach." ZAMP
From the Back Cover
The numerical analysis of stochastic differential equations differs significantly from that of ordinary differential equations due to peculiarities of stochastic calculus. This book provides an introduction to stochastic calculus and stochastic differential equations, in both theory and applications, emphasising the numerical methods needed to solve such equations. It assumes of the reader an undergraduate background in mathematical methods typical of engineers and physicists, though many chapters begin with a descriptive summary. The book is also accessible to others who only require numerical recipes. The stochastic Taylor expansion provides the basis for the discrete time numerical methods for differential equations. The book presents many new results on high-order methods for strong sample path approximations and for weak functional approximations, including implicit, predictor-corrector, extra-polation and variance-reduction methods. Besides serving as a basic text on such methods, the book offers the reader ready access to a large number of potential research problems in a field that is just beginning to expand rapidly and is widely applicable. To help the reader to develop an intuitive understanding of the underlying mathematics and hand-on numerical skills, exercises and over 100 PC-Exercises are included.
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Numerical Solution of Stochastic Differential Equations (Applications of Mathematics)
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Numerical Solution of Stochastic Differential Equations (Applications of Mathematics)
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Numerical Solution of Stochastic Differential Equations (Applications of Mathematics)
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Numerical Solution of Stochastic Differential Equations
Seller: Anybook.com, Lincoln, United Kingdom
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Condition: Good. This is an ex-library book and may have the usual library/used-book markings inside.This book has hardback covers. In good all round condition. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,1200grams, ISBN:0387540628. Seller Inventory # 8624323
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Numerical Solution of Stochastic Differential Equations
Published by
Springer Verlag, New York, NY, 1992
ISBN 10: 0387540628
ISBN 13: 9780387540627
Used
Hardcover
First Edition
Seller: Black Cat Hill Books, Oregon City, OR, U.S.A.
Seller rating 5 out of 5 stars
Hardcover. Condition: Fine. First Edition; First Printing. First Edition (1992) , First Printing indicated by a complete numerical sequence. Fine: flawless; the binding is square and secure; the text is clean. Free of creased or dog-eared pages in the text. Free of underlining, hi-lighting, notations, or marginalia. Free of ownership names, dates, addresses, notations, inscriptions, stamps, or labels. Bright, crisp and clean. Corners sharp. Virtually 'As New'. NOT a Remainder, Book-Club, or Ex-Library. 8vo. (9.55 x 6.35 x 1 inches) . 40 Illustrations in 43 parts. Language: English. Weight: 27.6 ounces. Hardback: No DJ 'as issued'. The numerical analysis of stochastic differential equations differs significantly from that of ordinary differential equations, due to the peculiarities of stochastic calculus. The book proposes to the reader whose background knowledge is limited to undergraduate level methods for engineering and physics, and easily accessible introductions to SDE and then applications as well as the numerical methods for dealing with them. To help the reader develop an intuitive understanding and hand-on numerical skills, numerous exercises including PC-exercises are included. This book is one of the finest written on the subject and is suitable for readers in a wide variety of fields, including mathematical finance, random dynamical systems, constructive quantum field theory, and mathematical biology. It is certainly well-suited for classroom use, and it includes computer exercises what are definitely helpful for those who need to develop actual computer code to solve the relevant equations of interest. ; Applications of Mathematics; Vol. 23; Large 8vo 9" - 10" tall; xxxv, 632 pages. Seller Inventory # 58271