In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs) including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques including the classic finite difference method, finite element method, and state-of-the-art numercial methods.The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB. This new edition includes a new chapter, Finite Value Method, the presentation has been tightened, new exercises and applications are included, and the text refers now to the latest release of MATLAB.
Key Selling Points:
- A successful textbook for an undergraduate text on numerical analysis or methods taught in mathematics and computer engineering.
- This course is taught in every university throughout the world with an engineering department or school.
- Competitive advantage broader numerical methods (including finite difference, finite element, meshless method, and finite volume method), provides the MATLAB source code for most popular PDEs with detailed explanation about the implementation and theoretical analysis. No other existing textbook in the market offers a good combination of theoretical depth and practical source codes.
Table of Contents
Brief Overview of Partial Differential Equations
Finite Difference Methods for Parabolic Equations
Finite Difference Methods for Hyperbolic Equations
Finite Difference Methods for Elliptic Equations
Higher Order Compact Difference Methods
Finite Element Methods: Basic Theory
Finite Element Methods: Programming
Mixed Finite Element Methods
Finite Element Methods for Electromagnetics
Meshless Methods with Radial Basis Functions
Other Meshless Methods
Jichun Li ia a professor of mathematics at the University of Nevada, Las Vegas. He earned a Ph.D in Applied Mathematics from Florida State University and in addition to authoring several journal papers and three other books, he is a founding editor-in-chief of Results in Applied Mathematics. His major research areas are on numerical methods for partial differential equations.
Yi-Tung Chen is the co-director for the Center for Energy Research at the University of Nevada, Las Vegas. He has a Ph.D. from the University of Utah and is an aerial systems expert in computational fluid dynamics, fluid-structure interaction and aerodynamics.