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Medientyp:
E-Artikel
Titel:
On the Exponential Fitting of Composite, Multiderivative Linear Multistep Methods
Beteiligte:
Cash, J. R.
Erschienen:
Society for Industrial and Applied Mathematics, 1981
Erschienen in:
SIAM Journal on Numerical Analysis, 18 (1981) 5, Seite 808-821
Sprache:
Englisch
ISSN:
0036-1429
Entstehung:
Anmerkungen:
Beschreibung:
Exponentially fitted composite, multiderivative linear multistep methods of orders up to 5 are derived. A numerical investigation of these formulae indicates that they may be A-stable for all choices of the fitting parameters. An important aspect of the class of integration formulae considered is that each formula contains a "built-in" local error estimate--a facility lacking in most other exponentially fitted formulae. Some preliminary numerical results are given and these show that, for problems for which exponential fitting is appropriate, the new formulae provide a large saving in computational effort compared with conventional ones.