Solving Numerical PDEs: Problems, Applications, Exercises
Autoren: Formaggia, Luca, Saleri, Fausto, Veneziani, Alessandro
Vorschau- Long standing teaching experience of the authors
- Introduction to the numerical approximation of Partial Differential Equations
- Practical applications Examples from different fields (biology, medicine) and industry
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- Über dieses Lehrbuch
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This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University of Bergamo (Italy) and Emory University (Atlanta, USA). It aims at introducing students to the numerical approximation of Partial Differential Equations (PDEs). One of the difficulties of this subject is to identify the right trade-off between theoretical concepts and their actual use in practice. With this collection of examples and exercises we try to address this issue by illustrating "academic" examples which focus on basic concepts of Numerical Analysis as well as problems derived from practical application which the student is encouraged to formalize in terms of PDEs, analyze and solve. The latter examples are derived from the experience of the authors in research project developed in collaboration with scientists of different fields (biology, medicine, etc.) and industry. We wanted this book to be useful both to readers more interested in the theoretical aspects and those more concerned with the numerical implementation.
- Inhaltsverzeichnis (7 Kapitel)
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Some fundamental tools
Seiten 3-15
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Fundamentals of finite elements and finite differences
Seiten 17-62
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Galerkin-finite element method for elliptic problems
Seiten 65-146
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Advection-diffusion-reaction (ADR) problems
Seiten 147-202
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Equations of parabolic type
Seiten 205-275
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Inhaltsverzeichnis (7 Kapitel)
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Bibliografische Information
- Bibliographic Information
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- Buchtitel
- Solving Numerical PDEs: Problems, Applications, Exercises
- Autoren
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- Luca Formaggia
- Fausto Saleri
- Alessandro Veneziani
- Titel der Buchreihe
- La Matematica per il 3+2
- Copyright
- 2012
- Verlag
- Springer-Verlag Mailand
- Copyright Inhaber
- Springer-Verlag Milan
- eBook ISBN
- 978-88-470-2412-0
- DOI
- 10.1007/978-88-470-2412-0
- Softcover ISBN
- 978-88-470-2411-3
- Buchreihen ISSN
- 2038-5722
- Auflage
- 1
- Seitenzahl
- X, 434
- Themen
