𝔖 Bobbio Scriptorium
✦   LIBER   ✦

A Fortran program to generate finite difference formulas

✍ Scribed by Z. J. Csendes

Publisher
John Wiley and Sons
Year
1975
Tongue
English
Weight
763 KB
Volume
9
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

A discretization process is described by which it is possible to generate finite difference formulas for arbitrary linear two‐dimensional partial differential equations. The process is based on a novel approach to finite difference analysis in which differential operators are approximated by rectangular matrices. In this approach, the discrete form of a complicated operator is obtained by performing simple numerical operations on elementary matrix factors. The analysis is augmented by a listing of a computer program based on the method for the automatic generation of finite difference formulas.

πŸ“œ SIMILAR VOLUMES

A maple program to generate orthonormal
A maple program to generate orthonormal polynomials
✍ A.K. Bisoi πŸ“‚ Article πŸ“… 1991 πŸ› Elsevier Science 🌐 English βš– 169 KB

A program in the symbolic manipulation language Maple hes been developed for gezm~ sting orthoa~md polyno~',~l, over (-1, 1) with the weight function w(x,k) = =k, for even k. The progr&m also (i) finds the roots of these polynomi~dB m~l (H) expands s test function in tin-ms of these

A general FORTRAN to C translator
A general FORTRAN to C translator
✍ C.F. Baillie πŸ“‚ Article πŸ“… 1986 πŸ› Elsevier Science 🌐 English βš– 349 KB

Theorists in Edinburgh University Physics Department are currently using two ICL Distributed Array Processors (DAPs), programmed in a matrix and vector extension of FORTRAN called DAP FORTRAN, to perform a variety of numerical simulations. However, many of the next generation of array processors, in