Published October 1978 | Version v1
Journal article

Symbolic generation of finite difference formulas

  • 1. Energy Research and Development Administration

Description

Tables of coefficients for high order accurate, compact approximations to the first ten derivatives on and at the midpoints of uniform nets are presented. The exact rational weights are generated and tested by means of symbolic manipulation implemented through MACSYMA. These weights are required in the application of deferred corrections to new methods for solving higher order two point boundary value problems

Additional details

Publishing Information

Journal Title
Math. Comput.
Journal Volume
32
Journal Issue
1144
Series
Math. Comput.
Journal Page Range
955-971

INIS

Country of Publication
United States
Country of Input or Organization
United States
INIS RN
10450195
Subject category
S99: GENERAL AND MISCELLANEOUS;
Descriptors DEI
BOUNDARY CONDITIONS; DIFFERENTIAL EQUATIONS; FINITE DIFFERENCE METHOD; M CODES; SERIES EXPANSION; WEIGHTING FUNCTIONS
Descriptors DEC
COMPUTER CODES; EQUATIONS; FUNCTIONS; ITERATIVE METHODS; NUMERICAL SOLUTION