Introduction to Numerical Methods in Differential Equations: 52 (Texts in Applied Mathematics) - Softcover

Holmes, Mark H.

Softcover

ISBN 10: 144192163X ISBN 13: 9781441921635

Verlag: Springer, 2010

Inhaltsangabe

This book shows students how to derive, test and analyze numerical methods for solving differential equations, including both ordinary and partial differential equations. The objective is that 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 approach is the extensive collection of exercises, which develop both the analytical and computational aspects of the material. Numerical methods for differential equations are important in a variety of disciplines: most laws of physics involve differential equations, as do the modern theories of financial assets. Moreover many computer animation methods are now grounded in physics-based rules and are heavily invested in differential equations. In addition to more than 100 illustrations, the book includes a large collection of supplemental material: exercise sets, MATLAB computer codes for both student and instructor, lecture slides and movies.

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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.

Details zur Ausgabe

• Verlag: Springer
• Erscheinungsdatum: 2010
• Sprache: Englisch
• ISBN 10: 144192163X
• ISBN 13: 9781441921635
• Einband: Tapa blanda
• Anzahl der Seiten: 252
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: CMN Printpool Inh. Mathis Neumann; https://www.also.com/ec/cms5/en_6000/6000/index.jsp; ; Friedrich-Karl-Str. 9; Hamburg; Deutschland