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The numerical solution of elliptic equations

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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.

Author(s): Garret Birkhoff
Series: CBMS-NSF Regional Conference Series in Applied Mathematics
Edition: SIAM
Publisher: Society for Industrial & Applied Mathematics
Year: 1972

Language: English
Pages: 95
Tags: Математика;Дифференциальные уравнения;Дифференциальные уравнения в частных производных;

The NUMERICAL SOLUTION Of ELLIPTIC EQUATIONS......Page 1
Contents......Page 5
Acknowledgments......Page 7
Preface......Page 9
General References......Page 11
LECTURE 1 Typical Elliptic Problems......Page 13
LECTURE 2 Classical Analysis......Page 23
LECTURE 3 Difference Approximations......Page 31
LECTURE 4 Relaxation Methods......Page 41
LECTURE 5 Semi-iterative Methods......Page 51
LECTURE 6 Integral Equation Methods......Page 59
LECTURE 7 Approximation of Smooth Functions......Page 67
LECTURE 8 Variational Methods......Page 75
LECTURE 9 Applications to Boundary Value Problems......Page 85