The Numerical Solution of Elliptic Equations

A concise survey of the state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems using a computer.

Garrett Birkhoff (Author)

9780898710014, Society for Industrial and Applied Mathematics

Paperback / softback, published 1 January 1987

89 pages
25.5 x 17.8 x 10 cm, 0.3 kg

A concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing -- the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering.

Typical Elliptic Problems
Classical Analysis
Difference Approximations
Relaxation Methods
Semi-Iterative Methods
Integral Equation Methods
Approximation of Smooth Functions
Variational Methods
Applications to Boundary Value Problems.

Subject Areas: Numerical analysis [PBKS]