Hamiltonian BVMs (HBVMs): Implementation Details and Applications

DOI10.1063/1.3241568zbMath1182.65187arXiv1002.2727OpenAlexW1622116049MaRDI QIDQ5851551

Tiziana Susca, Luigi Brugnano, Felice Iavernaro

Publication date: 22 January 2010

Published in: AIP Conference Proceedings (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1002.2727

zbMATH Keywords

boundary value methodsconserving of energypolynomial Hamiltonian problemsilent stages

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15)

Related Items (8)

On some boundary value methods for stiff IVPs in ODEs ⋮ Unnamed Item ⋮ Spectrally accurate space-time solution of Manakov systems ⋮ A Novel Class of Energy-Preserving Runge-Kutta Methods for the Korteweg-de Vries Equation ⋮ Arbitrarily high-order energy-preserving methods for simulating the gyrocenter dynamics of charged particles ⋮ Reprint of ``Analysis of Hamiltonian boundary value methods (HBVMs): a class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems ⋮ Unnamed Item ⋮ Analysis of Hamiltonian boundary value methods (HBVMs): A class of energy-preserving Runge-Kutta methods for the numerical solution of polynomial Hamiltonian systems

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