ABSTRACT

This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical

chapter 5|54 pages

High-Order Compact Difference Methods

chapter 6|40 pages

Finite Element Methods: Basic Theory

chapter 7|26 pages

Finite Element Methods: Programming

chapter 8|42 pages

Mixed Finite Element Methods

chapter 10|48 pages

Meshless Methods with Radial Basis Functions

chapter 11|14 pages

Other Meshless Methods