We sketch out the use of the line integral as a tool to devise numerical methods suitable for conservative and, in particular, Hamiltonian problems. The monograph [L. Brugnano, F. Iavernaro. Line Integral Methods for Conservative Problems. Series: Monographs and Research Notes in Mathematics. Chapman et al./CRC, Boca Raton, FL, 2015. ISBN 9781482263848] presents the fundamental theory on line integral methods and this short note aims at exploring some aspects and results emerging from their study.
On the use of the line integral in the numerical treatment of conservative problems / Brugnano, Luigi; Iavernaro, Felice. - CD-ROM. - 1738:(2016), pp. 0200081-0200084. (Intervento presentato al convegno ICNAAM 2015) [10.1063/1.4951752].
On the use of the line integral in the numerical treatment of conservative problems
BRUGNANO, LUIGI;
2016
Abstract
We sketch out the use of the line integral as a tool to devise numerical methods suitable for conservative and, in particular, Hamiltonian problems. The monograph [L. Brugnano, F. Iavernaro. Line Integral Methods for Conservative Problems. Series: Monographs and Research Notes in Mathematics. Chapman et al./CRC, Boca Raton, FL, 2015. ISBN 9781482263848] presents the fundamental theory on line integral methods and this short note aims at exploring some aspects and results emerging from their study.
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