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Introduction to Partial Differential Equations

A Computational Approach

Specificaties
Paperback, 392 blz. | Engels
Springer New York | 0e druk, 2013
ISBN13: 9781475771725
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Springer New York 0e druk, 2013 9781475771725
Onderdeel van serie Texts in Applied Mathematics
Verwachte levertijd ongeveer 9 werkdagen

Samenvatting

Combining both the classical theory and numerical techniques for partial differential equations, this thoroughly modern approach shows the significance of computations in PDEs and illustrates 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 these techniques. The authors present the material at an easy pace and exercises ranging from the straightforward to the challenging have been included. In addition there are some "projects" suggested, either to refresh the students memory of results needed in this course, or to extend the theories developed in the text. Suitable for undergraduate and graduate students in mathematics and engineering.

Specificaties

ISBN13:9781475771725
Taal:Engels
Bindwijze:paperback
Aantal pagina's:392
Uitgever:Springer New York
Druk:0

Inhoudsopgave

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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        Introduction to Partial Differential Equations