This is the softcover reprint of the very popular hardcover edition. The bookis suitable for advanced undergraduate and beginning graduate students of applied mathematics and engineering. The main theme is the integration of the theory of linear PDEs and the numerical solution of such equations. For each typeof PDE, elliptic, parabolic, and hyperbolic, the text contains one chapter onthe mathematical theory of the differential equation, followed by one chapteron finite difference methods and one on finite element methods. As preparation, the two-point boundary value problem and the initial-value problem for ODEsare discussed in separate chapters. There is also one chapter on the ellipticeigenvalue problem and eigenfunction expansion. The presentation does not presume a deep knowledge of mathematical and functional analysis. Some backgroundon linear functional analysis and Sobolev spaces, and also on numerical linear algebra, is reviewed in two appendices. Very well-written Elementary introduction
- ISBN: 978-3-540-88705-8
- Editorial: Springer
- Encuadernacion: Rústica
- Páginas: 260
- Fecha Publicación: 01/12/2008
- Nº Volúmenes: 1
- Idioma: Inglés