A primer on PDEs : models, methods, simulations
著者
書誌事項
A primer on PDEs : models, methods, simulations
（Collana unitext, v. 65 . La matematica per il 3+2）
Springer, c2013
- : [pbk.]
- タイトル別名
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Invito alle equazioni a derivate parziali
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注記
Other authers: Federico M.G. Vegni, Anna Zaretti, Paolo Zunino
Includes bibliographical reference (p. [475]-477) and index
"Translated and extended version of the original Italian edition: S. Salsa, F.M.G. Vegni, A. Zaretti, P. Zunino"--T.p. verso
内容説明・目次
内容説明
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.
目次
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.
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