Authors:
- This minimal knowledge on numerical approximation schemes represents an useful tool for training on model applications
- Numerical simulations help to put into action and visualize the theoretical properties of the models that will be analysed
- Each chapter ends with a brief introduction to numerical approximation techniques for the specific problem at hand
- Includes supplementary material: sn.pub/extras
Part of the book series: UNITEXT (UNITEXT)
Part of the book sub series: La Matematica per il 3+2 (UNITEXTMAT)
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Table of contents (10 chapters)
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Front Matter
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Introduction
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Differential Models
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Front Matter
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Functional Analysis Techniques for Differential Problems
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Front Matter
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Solutions
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Front Matter
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Back Matter
About this book
Reviews
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 für 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.” (Vicenţiu D. Rădulescu, zbMATH, Vol. 1270, 2013)Authors and Affiliations
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Department of Mathematics, Politecnico di Milano, Italy
Sandro Salsa, Federico M. G. Vegni, Anna Zaretti
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MOX — Department of Mathematics, Politecnico di Milano, Italy
Paolo Zunino
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Department of Mechanical Engineering and Materials Science, University of Pittsburgh, USA
Paolo Zunino
Bibliographic Information
Book Title: A Primer on PDEs
Book Subtitle: Models, Methods, Simulations
Authors: Sandro Salsa, Federico M. G. Vegni, Anna Zaretti, Paolo Zunino
Series Title: UNITEXT
DOI: https://doi.org/10.1007/978-88-470-2862-3
Publisher: Springer Milano
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Milan 2013
Softcover ISBN: 978-88-470-2861-6Published: 22 January 2013
eBook ISBN: 978-88-470-2862-3Published: 13 May 2013
Series ISSN: 2038-5714
Series E-ISSN: 2532-3318
Edition Number: 1
Number of Pages: XIV, 489
Topics: Mathematics, general, Partial Differential Equations, Analysis