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Introduction to Partial Differential Equations
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Introduction to Partial Differential Equations - new book

ISBN: 9783540225515

Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest … More...

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Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics, 29, Band 29) - Tveito, Aslak, Winther, Ragnar
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Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics, 29, Band 29) - First edition

2004, ISBN: 9783540225515

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Springer, Gebundene Ausgabe, Auflage: 1st ed. 1998. Corr. 2nd printing 2004, 410 Seiten, Publiziert: 2004-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: illustrations, 0.83 kg, Ver… More...

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Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics, 29, Band 29) - Tveito, Aslak, Winther, Ragnar
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Tveito, Aslak, Winther, Ragnar:
Introduction to Partial Differential Equations: A Computational Approach (Texts in Applied Mathematics, 29, Band 29) - First edition

2004

ISBN: 9783540225515

Hardcover

Springer, Gebundene Ausgabe, Auflage: 1st ed. 1998. Corr. 2nd printing 2004, 410 Seiten, Publiziert: 2004-10-04T00:00:01Z, Produktgruppe: Buch, Hersteller-Nr.: illustrations, 0.83 kg, Ver… More...

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Introduction to Partial Differential Equations: A Computational Approach Aslak Tveito Author
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Introduction to Partial Differential Equations: A Computational Approach Aslak Tveito Author - new book

ISBN: 9783540225515

This book teaches basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential e… More...

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Introduction to Partial Differential Equations - Aslak Tveito Ragnar Winther
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Aslak Tveito Ragnar Winther:
Introduction to Partial Differential Equations - hardcover

2004, ISBN: 9783540225515

[ED: Gebunden], [PU: Springer Berlin Heidelberg], Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. This book teaches basic methods of parti… More...

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Introduction to Partial Differential Equations: A Computational Approach Aslak Tveito Author
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Title:
ISBN:

9783540225515


This book teaches the basic methods of partial differential equations and introduces related important ideas associated with the analysis of numerical methods for those partial differential equations. Standard topics such as separation of variables, Fourier analysis, maximum principles, and energy estimates are included. Numerical methods are introduced in parallel to the classical theory. The numerical experiments are used to illustrate properties of differential equations and theory for finite difference approximations is developed. Numerical methods are included in the book to show the significance of computations in partial differential equations and to illustrate the strong interaction between mathematical theory and the development of numerical methods. Great care has been taken throughout the book to seek a sound balance between the analytical and numerical techniques. The authors present the material at an easy pace with well-organized exercises ranging from the straightforward to the challenging. In addition, special projects are included, containing step by step hints and instructions, to help guide students in the correct way of approaching partial differential equations. The text would be suitable for advanced undergraduate and graduate courses in mathematics and engineering. Necessary prerequisites for this text are basic calculus and linear algebra. Some elementary knowledge of ordinary differential equations is also preferable. TOC:Setting the Scene.- Two-Point Boundary Value Problems.- The Heat Equation.- Finite Difference Schemes for the Heat Equation.- The Wave Equation.- Maximum Principles.- Poisson's Equation in Two Space Dimensions.- Orthogonality and General Fourier Series.- Convergence of Fourier Series.- The Heat Equation Revisited.- Reaction-Diffusion Equations.- Applications of the Fourier Transform.- References.- Index.

Details of the book - Introduction to Partial Differential Equations: A Computational Approach Aslak Tveito Author


EAN (ISBN-13): 9783540225515
ISBN (ISBN-10): 354022551X
Hardcover
Paperback
Publishing year: 2004
Publisher: Springer Berlin Heidelberg Core >2 >T

Book in our database since 2007-05-15T20:10:02+01:00 (London)
Detail page last modified on 2024-03-23T22:23:30+00:00 (London)
ISBN/EAN: 9783540225515

ISBN - alternate spelling:
3-540-22551-X, 978-3-540-22551-5
Alternate spelling and related search-keywords:
Book author: partial differential, ragnar, winther, tveit, tveito
Book title: introduction computational differential equations, partial differential equations applied mathematics, differential equations applied approach

Information from Publisher

Author: Aslak Tveito; Ragnar Winther
Title: Texts in Applied Mathematics; Introduction to Partial Differential Equations - A Computational Approach
Publisher: Springer; Springer Berlin
394 Pages
Publishing year: 2004-10-04
Berlin; Heidelberg; DE
Language: English
80,24 € (DE)
82,49 € (AT)
88,50 CHF (CH)
Available
XVI, 394 p.

BB; Hardcover, Softcover / Mathematik/Analysis; Mathematische Analysis, allgemein; Verstehen; Mathematik; Boundary value problem; Fourier series; calculus; finite difference methods; maximum principles; partial differential equation; partial differential equations; reaction-diffusion equations; wave equation; Analysis; Differential Equations; Computational Science and Engineering; Differentialrechnung und -gleichungen; Numerische Mathematik; EA; BC; BA

Setting the Scene.- Two-Point Boundary Value Problems.- The Heat Equation.- Finite Difference Schemes for the Heat Equation.- The Wave Equation.- Maximum Principles.- Poisson's Equation in Two Space Dimensions.- Orthogonality and General Fourier Series.- Convergence of Fourier Series.- The Heat Equation Revisited.- Reaction-Diffusion Equations.- Applications of the Fourier Transform.
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