Year: 1970
Type: article
Abstract: A program is presented which produces FORTRAN statements defining the gradient of a function of several variables given by an arithmetic expression in the variables and the functions SIN, COS, and EXP. The program is coded in FORTRAN and uses the SLIP based algebraic manipulation package, SYMBOLANG, to perform the differentiations, substitutions, and input/output formatting. It is compared with Ludeman's PL/I FORMAC procedure which does the same task, and from which the SYMBOLANG program was derived. The major difference is that the SYMBOLANG program evaluates expressions against a list of definitions to achieve necessary substitutions, where the FORMAC program does one replacement at a time.
Source: ACM SIGSAM Bulletin
Author: Herbert J. Bernstein
Institution: New York University
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2081922150