Symbolic generation of finite difference formulas

Authors:
H. B. Keller and V. Pereyra

Journal:
Math. Comp. **32** (1978), 955-971

MSC:
Primary 65D25; Secondary 65B05, 65L10

DOI:
https://doi.org/10.1090/S0025-5718-1978-0494848-1

MathSciNet review:
0494848

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Abstract: 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.

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DOI:
https://doi.org/10.1090/S0025-5718-1978-0494848-1

Article copyright:
© Copyright 1978
American Mathematical Society