In this paper we define a class of modified line integral methods, which are a suitable modification of energy conserving methods in the HBVMs class, able to cope with conservative problems possessing multiple invariants. The analysis of the methods is sketched, along with some numerical tests.
Modified line integral methods for conservative problems with multiple invariants / L.Brugnano; F.Iavernaro. - ELETTRONICO. - 1648:(2015), pp. 1500101-1500104. ( INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014) Rodi (GR) 22-28 September, 2014) [10.1063/1.4912440].
Modified line integral methods for conservative problems with multiple invariants
BRUGNANO, LUIGI;
2015
Abstract
In this paper we define a class of modified line integral methods, which are a suitable modification of energy conserving methods in the HBVMs class, able to cope with conservative problems possessing multiple invariants. The analysis of the methods is sketched, along with some numerical tests.
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