In this popular text for an Numerical Analysis course, the authors introduce several major methods of solving various partial differential equations (PDEs). The text uniquely emphasizes both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, useful for students in computational science and engineering.

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.

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