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A program to integrate a function tabulated at unequal intervals
Author(s) -
McNamee John Michael
Publication year - 1981
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.1620170210
Subject(s) - subroutine , fortran , generalization , function (biology) , set (abstract data type) , mathematics , algorithm , computer science , calculus (dental) , programming language , mathematical analysis , medicine , dentistry , evolutionary biology , biology
A FORTRAN subroutine is presented to integrate a function given only by a set of tabular values at unequal intervals. It uses the trapezoidal rule and a generalization of Simpson's rule, obtaining a conservative error estimate by comparing the two results.