Premium
Numerical experiments with parallel two‐step W‐methods for DAEs
Author(s) -
Podhaisky H.,
Weiner R.,
Schmitt B.A.
Publication year - 2002
Publication title -
pamm
Language(s) - English
Resource type - Journals
ISSN - 1617-7061
DOI - 10.1002/1617-7061(200203)1:1<512::aid-pamm512>3.0.co;2-n
Subject(s) - ode , computation , mathematics , computer science , numerical analysis , ordinary differential equation , reduction (mathematics) , index (typography) , algorithm , mathematical optimization , differential equation , mathematical analysis , geometry , world wide web
We study the numerical behavior of parallel two‐step W‐methods (PTSW methods) applied to index 2 and index 3 DAE test‐problems. In this experiments we do not observe an order reduction in the differential components of the solution and we obtain the same orders as in the ODE and index 1 case. Our methods perform comparably with RADAU for the test‐problems in sequential computations and superior in parallel mode. We conclude that PTSW methods are an interesting choice for solving DAEs, at least up to index 2.