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＜電子ブック＞
Introduction to Numerical Methods in Differential Equations / by Mark H. Holmes
(Texts in Applied Mathematics. ISSN:21969949 ; 52)

版	1st ed. 2007.
出版者	(New York, NY : Springer New York : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	XI, 239 p : online resource
著者標目	*Holmes, Mark H author SpringerLink (Online service)
件　名	LCSH:Differential equations LCSH:Numerical analysis FREE:Differential Equations FREE:Numerical Analysis
一般注記	Initial Value Problems -- Two-Point Boundary Value Problems -- Diffusion Problems -- Advection Equation -- Numerical Wave Propagation -- Elliptic Problems 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 HTTP:URL=https://doi.org/10.1007/978-0-387-68121-4

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