THE NUMERICAL-SOLUTION OF LARGE SYSTEMS OF STIFF IVPS FOR ODES

Authors
JACKSON KR
Citation
Kr. Jackson, THE NUMERICAL-SOLUTION OF LARGE SYSTEMS OF STIFF IVPS FOR ODES, Applied numerical mathematics, 20(1-2), 1996, pp. 5-20
Citations number
39
Categorie Soggetti
Mathematics,Mathematics
Journal title
Applied numerical mathematics → ACNP
ISSN journal
01689274
Volume
20
Issue
1-2
Year of publication
1996
Pages
5 - 20
Database
ISI
SICI code
0168-9274(1996)20:1-2<5:TNOLSO>2.0.ZU;2-Y
Abstract
The application of the method of lines to a system of time-dependent p artial differential equations gives rise to a system of initial value problems (IVPs) for ordinary differential equations (ODEs). Such syste ms are often stiff and very large. The need to solve problems of this kind has affected the development of both formulas and codes for IVPs for ODEs. We survey some of these developments.