Numerical Solutions of Partial Differential Equations

• Main Authors: Bertoluzza, Silvia. (Author), Russo, Giovanni. (Author), Falletta, Silvia. (Author), Shu, Chi-Wang. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic
• Language: English
• Published: Basel : Birkhũser Basel, 2009.
• Series: Advanced Courses in Mathematics - CRM Barcelona
• Subjects: Mathematics.; Differential equations, partial.; Numerical analysis.; Numerical Analysis.; Partial Differential Equations.
• Online Access: https://ezaccess.library.uitm.edu.my/login?url=http://dx.doi.org/10.1007/978-3-7643-8940-6

This volume offers researchers the opportunity to catch up with important developments in the field of numerical analysis and scientific computing and to get in touch with state-of-the-art numerical techniques. The book has three parts. The first one is devoted to the use of wavelets to derive some...

Table of Contents:

• I. Wavelets and PDE<U+0019>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 for Convection-Diffusion Equations - Discontinuous Galerkin Method for PDEs.