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Parallel two‐step W‐methods
Author(s) -
Schmitt B. A.,
Weiner R.,
Podhaisky H.
Publication year - 2001
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200108115148
Subject(s) - parallel computing , implementation , computer science , linear multistep method , mathematics , value (mathematics) , algorithm , mathematical optimization , differential equation , mathematical analysis , differential algebraic equation , programming language , ordinary differential equation , machine learning
This paper deals with two‐step W‐methods for stiff initial value problems which allow the parallel solution of the stage equations. Special methods of order 3 and 4 are tested for both sequential and parallel implementations and compared with efficient sequential codes. The results show that the methods are already competitive in a sequential implementation and have a high level of parallelization especially in combination with Krylov solvers for linear equations of large dimensions.