A general framework for solving differential equations

Author:

Brugnano LuigiORCID,Iavernaro Felice

Abstract

AbstractRecently, the efficient numerical solution of Hamiltonian problems has been tackled by defining the class of energy-conserving Runge-Kutta methods namedHamiltonian Boundary Value Methods (HBVMs). Their derivation relies on the expansion of the vector field along a suitable orthonormal basis. Interestingly, this approach can be extended to cope with more general differential problems. In this paper we sketch this fact, by considering some relevant examples.

Funder

Università degli Studi di Firenze

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference46 articles.

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