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An application of the Roberts' minimal degree algorithm to initial value problems
Author(s) -
Henry Jackson N.,
Henry Myron S.,
Taylor Donald C.
Publication year - 1978
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.1620120903
Subject(s) - degree (music) , algorithm , mathematics , value (mathematics) , polynomial , computer science , mathematical analysis , statistics , physics , acoustics
Three algorithms are used to compute polynomial approximate solutions to initial value problems. One algorithm is based on the Roberts' minimal degree algorithm, whereas the other two algorithms utilize variants of the second algorithms of Remes. Our analysis indicates that the algorithm based on the Roberts' minimal degree algorithm is superior to the others considered.