Accession Number:

ADA129075

Title:

Automatic Generation of Taylor Series in Pascal-SC: Basic Operations and Applications to Ordinary Differential Equations.

Descriptive Note:

Technical summary rept.,

Corporate Author:

WISCONSIN UNIV-MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s):

Report Date:

1983-03-01

Pagination or Media Count:

104.0

Abstract:

Taylor series have a long history of usefulness in numerical analysis, especially for the numerical solution of the initial value problem for systems of ordinary differential equations. Since recurrence relations for coefficients of Taylor series are well known, it is possible to automate the computation of arithmetic operations and various standard functions with arguments which are themselves series. If the language used for scientific computation supports user defined operators and data types, then the facilities built into the language compiler itself can be used to generate machine code for the evaluation of Taylor coefficients. The Pascal-SC Pascal for Scientific Computation language offers the user highly accurate floating-point and interval arithmetic, the latter being useful for automatic computation of guaranteed error bounds.

Subject Categories:

  • Numerical Mathematics
  • Computer Programming and Software

Distribution Statement:

APPROVED FOR PUBLIC RELEASE