Numerical solution of differential equations introduction to finite difference and finite element methods

Numerical solution of differential equations introduction to finite difference and finite element methods

Bibliographic Details
Main Authors: Li, Zhilin (Author), Zhonghua, Qiao (Author), Tang, Tao (Author)
Resource Type: Book
Language:English
Published: Cambridge, UK Cambridge University Press [2018]
Subjects:
Differential equations > Numerical solutions.
Finite differences.
Finite element method.
Table of Contents:
  • 1. Introduction
  • Part I. Finite Difference Methods
  • 2. Finite difference methods for 1D boundary value problems
  • 3. Finite difference methods for 2D elliptic PDEs
  • 4. FD methods for parabolic PDEs
  • 5. Finite difference methods for hyperbolic PDEs
  • Part II. Finite Element Methods
  • 6. Finite element methods for 1D boundary value problems
  • 7. Theoretical foundations of the finite element method
  • 8. Issues of the FE method in one space dimension
  • 9. The finite element method for 2D elliptic PDEs
  • Appendix. Numerical solutions of initial value problems.