A Primer on PDEs: Models, Methods, Simulations

Author:   Sandro Salsa ,  Federico Vegni ,  Anna Zaretti ,  Paolo Zunino
Publisher:   Springer Verlag
Edition:   2nd ed. 2013
ISBN:  

9788847028616


Pages:   489
Publication Date:   22 January 2013
Format:   Paperback
Availability:   In Print   Availability explained
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A Primer on PDEs: Models, Methods, Simulations


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Full Product Details

Author:   Sandro Salsa ,  Federico Vegni ,  Anna Zaretti ,  Paolo Zunino
Publisher:   Springer Verlag
Imprint:   Springer Verlag
Edition:   2nd ed. 2013
Dimensions:   Width: 15.50cm , Height: 3.30cm , Length: 23.50cm
Weight:   7.548kg
ISBN:  

9788847028616


ISBN 10:   8847028612
Pages:   489
Publication Date:   22 January 2013
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

Table of Contents

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.

Reviews

From the reviews: Part I (Chapters 2-6) of this book ... is entitled Differential models. ... Part II (Chapters 7-9) is entitled Functional analysis techniques for differential problems and it is devoted to Hilbert space methods for the variational formulation and the analysis of linear boundary and initial-boundary value problems. ... at the end of each chapter the authors include a brief account of numerical methods, with a discussion of some particular case study. ... recommend this book to students in engineering, applied mathematics and physics. (Vicentiu D. Radulescu, zbMATH, Vol. 1270, 2013)


From the book reviews: This book, presented at the advanced undergraduate or first year graduate level, takes a very interesting mixed approach to partial differential equations, shining a modern light on a classic subject. In addition to the usual analytic solution methods, the presentation includes both numerical approaches and mathematical techniques for proving rigorous existence and regularity results. ... Each chapter concludes with an informative set of exercises, and solutions to many of them are provided at the end of the book. (Peter Bernard Weichman, Mathematical Reviews, May, 2014) The present text is suitable for a two semester introduction to partial differential equations. ... The text is well-written and can be particularly recommended for students who are interested in the interplay between modeling, theory, and numerics. (G. Teschl, Monatshefte fur Mathematik, 2013) Part I (Chapters 2-6) of this book ... is entitled Differential models. ... Part II (Chapters 7-9) is entitled Functional analysis techniques for differential problems and it is devoted to Hilbert space methods for the variational formulation and the analysis of linear boundary and initial-boundary value problems. ... at the end of each chapter the authors include a brief account of numerical methods, with a discussion of some particular case study. ... recommend this book to students in engineering, applied mathematics and physics. (Vicentiu D. Radulescu, zbMATH, Vol. 1270, 2013)


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