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＜電子ブック＞
A Primer on PDEs : Models, Methods, Simulations / by Sandro Salsa, Federico Vegni, Anna Zaretti, Paolo Zunino
(La Matematica per il 3+2. ISSN:20385757)

版	1st ed. 2013.
出版者	(Milano : Springer Milan : Imprint: Springer)
出版年	2013
本文言語	英語
大きさ	XIV, 489 p : online resource
著者標目	*Salsa, Sandro author Vegni, Federico author Zaretti, Anna author Zunino, Paolo author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Differential equations LCSH:Mathematical analysis FREE:Mathematics FREE:Differential Equations FREE:Analysis
一般注記	Introduction -- Scalar Conservation Laws -- Diffusion -- The Laplace Equation -- Reaction-diffusion models -- Waves and vibrations -- Elements of Functional Analysis -- Variational formulation of elliptic problems -- Weak formulation of evolution problems -- Solutions -- Fourier Series -- Notes on ordinary differential equations -- Finite difference approximation of time dependent problems -- Identities and Formulas This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering. It has evolved while teaching courses on partial differential equations during the last decade at the Politecnico of Milan. The main purpose of these courses was twofold: on the one hand, to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences and on the other hand to give them a solid background for numerical methods, such as finite differences and finite elements HTTP:URL=https://doi.org/10.1007/978-88-470-2862-3

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