A Primer on PDEs: Models, Methods, Simulations (UNITEXT)

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en Limba Engleză Paperback – 22 Jan 2013
This book is designed as an advanced undergraduate or a first-year graduate course for students from various disciplines like applied mathematics, physics, engineering.
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ISBN-13: 9788847028616
ISBN-10: 8847028612
Pagini: 504
Dimensiuni: 155 x 235 x 32 mm
Greutate: 7.55 kg
Ediția: 2013
Editura: Springer
Colecția Springer
Seriile UNITEXT , La Matematica per il 3+2

Locul publicării: Milano, Italy

Public țintă

Upper undergraduate


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)


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