Brief Overview of Partial Differential Equations The parabolic equations The wave equations The elliptic equations Differential equations in broader areasA quick review of numerical methods for PDEsFinite Difference Methods for Parabolic Equations Introduction Theoretical issues: stability, consistence, and convergence 1-D parabolic equations2-D and 3-D parabolic equationsNumerical examples with MATLAB codesFinite Difference Methods for Hyperbolic Equations IntroductionSome basic difference schemes Dissipation and dispersion errors Extensions to conservation lawsThe second-order hyperbolic PDE. Read more...
Abstract:
Presenting an introduction to advanced numerical methods, this textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. Read more...
Author(s): Chen, Yi-Tung; Li, Jichun
Series: Chapman & Hall/CRC Applied Mathematics & Nonlinear Science
Publisher: CRC Press
Year: 2008
Language: English
Pages: 376
City: Hoboken
Tags: Библиотека;Компьютерная литература;Matlab / Simulink;
Content: Front cover
Chapter 1: Brief Overview of Partial Differential Equations
Chapter 2: Finite Difference Methods for Parabolic Equations
Chapter 3: Finite Difference Methods for Hyperbolic Equations
Chapter 4: Finite Difference Methods for Elliptic Equations
Chapter 5: High-Order Compact Difference Methods
Chapter 6: Finite Element Methods: Basic Theory
Chapter 7: Finite Element Methods: Programming
Chapter 8: Mixed Finite Element Methods
Chapter 9: Finite Element Methods for Electromagnetics
Chapter 10: Meshless Methods with Radial Basis Functions
Chapter 11: Other Meshless Methods
