Partial differential equations in action from modelling to theory /

"This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like Applied Mathematics, Physics and Engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in prob...

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Main Author: Salsa, S.
Other Authors: SpringerLink (Online service)
Format: eBook
Language: English
Published: Milan : Springer, 2009.
Milan : 2009.
Physical Description: 1 online resource (xv, 556 pages) : illustrations.
Series: Universitext.
Subjects:
Summary: "This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like Applied Mathematics, Physics and Engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements."--Jacket.
Item Description: Includes bibliographical references and index.
"This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like Applied Mathematics, Physics and Engineering. The main purpose is on the one hand to train the students to appreciate the interplay between theory and modelling in problems arising in the applied sciences; on the other hand to give them a solid theoretical background for numerical methods, such as finite elements."--Jacket.
Diffusion -- The Laplace Equation -- Scalar Conservation Laws and First Order Equations -- Waves and Vibrations -- Elements of Functional Analysis -- Distributions and Sobolev Spaces -- Variational Formulation of Elliptic Problems -- Weak Formulation of Evolution Problems.
Physical Description: 1 online resource (xv, 556 pages) : illustrations.
Bibliography: Includes bibliographical references and index.
ISBN: 9788847007529
8847007526