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Variable‐order variable‐step algorithms for second‐order systems. Part 2: The codes
Author(s) -
Gladwell I.,
Thomas R. M.
Publication year - 1988
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.1620260105
Subject(s) - ordinary differential equation , ode , variable (mathematics) , algorithm , subroutine , set (abstract data type) , mathematics , embedding , class (philosophy) , estimator , order (exchange) , computer science , differential equation , mathematical analysis , operating system , statistics , finance , artificial intelligence , economics , programming language
In a companion paper, Thomas and Gladwell, 4 the authors designed a class of multistage methods for second‐order systems of ordinary differential equations (ODE's), together with local error estimators based on embedding techniques. Here we provide a set of subroutines implementing the algorithms and discuss our numerical experience with the resulting codes.