Introduction to Numerical Methods in Differential Equations: 52 - Rilegato

Holmes, Mark H.

Rilegato

ISBN 10: 0387308911 ISBN 13: 9780387308913

Casa editrice: Springer-Verlag New York Inc., 2006

Riassunto

This brings us to the next expression in the title: “numerical methods.” This is a book about how to transform differential equations into problems that can be solved using a computer.The fact is that computers are only able to solve discrete problems and generally do this using ?nite-precision arithmetic.

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Informazioni sull?autore

Dalla quarta di copertina

This is a textbook for upper division undergraduates and beginning graduate students. Its objective is that students learn to derive, test and analyze numerical methods for solving differential equations, and this includes both ordinary and partial differential equations. In this sense the book is constructive rather than theoretical, with the intention that the students learn to solve differential equations numerically and understand the mathematical and computational issues that arise when this is done. An essential component of this is the exercises, which develop both the analytical and computational aspects of the material. The importance of the subject of the book is that most laws of physics involve differential equations, as do the modern theories on financial assets. Moreover many computer animation methods are now based on physics based rules and are heavily invested in differential equations. Consequently numerical methods for differential equations are important for multiple areas.

The author currently teaches at Rensselaer Polytechnic Institute and is an expert in his field. He has previously published a book with Springer, Introduction to Perturbation Methods.

Dettagli dell'edizione

• Editore: Springer-Verlag New York Inc.
• Data di pubblicazione: 2006
• Lingua: Inglese
• ISBN 10: 0387308911
• ISBN 13: 9780387308913
• Rilegatura: Copertina rigida
• Numero di pagine: 250
• Contatto del produttore: non disponibile
• Persona responsabile: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Tiergartenstr. 17; Heidelberg; 69121; Germania