Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems-Reference-Cited by-同舟云学术

Analysis of Hamiltonian Boundary Value Methods (HBVMs): A class of energy-preserving Runge–Kutta methods for the numerical solution of polynomial Hamiltonian systems

Published:2015-03 Issue:3 Volume:20 Page:650-667
ISSN:1007-5704
Container-title:Communications in Nonlinear Science and Numerical Simulation
language:en
Short-container-title:Communications in Nonlinear Science and Numerical Simulation

Author:

Brugnano Luigi,Iavernaro Felice,Trigiante Donato

Publisher

Elsevier BV

Subject

Applied Mathematics,Modeling and Simulation,Numerical Analysis

Reference20 articles.

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2. Simulating Hamiltonian dynamics;Leimkuhler,2004

3. Energy conservation with non-symplectic methods: examples and counter-examples;Faou;BIT Numer Math,2004

4. Energy drift in the numerical integration of Hamiltonian problems;Brugnano;J Numer Anal Ind Appl Math,2009

5. Geometric integration using discrete gradient;McLachlan;Philos Trans R Soc London A,1999

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