Numerical solutions of partial differential equations

This volume contains three sets of revised and augmented notes prepared by the authors for the Advanced School on Numerical Solutions of Partial Differential Equations held at the Centre de Recerca Matemàtica in November 2007. The book is aimed at master students, PhD students, recent PhD doctorates, and researchers in general willing to update their research skills with recent developments on numerical techniques that play an important role in the international scene. The text offers to researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and/or to get in touch with state-of-art numerical techniques that are not covered in usual books. The review on central schemes, on error estimates for discontinuous Galerkin methods and on the use of wavelets in scientific computing form an excellent teaching material for graduate students INDICE: I. Wavelets and PDE’s.- Wavelets - The Fundamental Property of Wavelets -Wavelets for PDEs.- II. High Order Shock Capturing Schemes for Balance Laws - The Numerical Flux Function - Nonlinear Reconstruction and High Order Schemes - Central Schemes - Systems with Stiff Source.- III. Discontinuous Galerkin Methods: General Approach and Stability - Time Discretization - Discontinuous Galerkin Method for Conservation Laws - Discontinuous Galerkin Method forConvection-Diffusion Equations - Discontinuous Galerkin Method for PDEs.

• ISBN: 978-3-7643-8939-0
• Editorial: Birkhaüser
• Encuadernacion: Rústica
• Páginas: 200
• Fecha Publicación: 01/12/2008
• Nº Volúmenes: 1
• Idioma: Inglés