E-Book, Englisch, Band 29, 392 Seiten, eBook
Reihe: Texts in Applied Mathematics
Tveito / Winther Introduction to Partial Differential Equations
1998
ISBN: 978-0-387-22773-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
A Computational Approach
E-Book, Englisch, Band 29, 392 Seiten, eBook
Reihe: Texts in Applied Mathematics
ISBN: 978-0-387-22773-3
Verlag: Springer US
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Graduate
Autoren/Hrsg.
Weitere Infos & Material
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.
