Numerical Solution of ODEs and the Columbus' Egg: Three Simple Ideas for Three Difficult Problems

zbMath1206.65252arXiv1008.4789MaRDI QIDQ3064744

Felice Iavernaro, Donato Trigiante, Luigi Brugnano

Publication date: 23 December 2010

Full work available at URL: https://arxiv.org/abs/1008.4789

zbMATH Keywords

ordinary differential equationsA-stabilitylinear multistep methodssymplectic methodsHamiltonian problemsboundary value methodsHamiltonian boundary value methodsenergy preserving methodsenergy driftstifness

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Numerical methods for Hamiltonian systems including symplectic integrators (65P10)

Related Items (5)

New energy-preserving schemes using Hamiltonian boundary value and Fourier pseudospectral methods for the numerical solution of the ``good Boussinesq equation ⋮ Energy-preserving methods for Poisson systems ⋮ The lack of continuity and the role of infinite and infinitesimal in numerical methods for ODEs: the case of symplecticity ⋮ A note on the efficient implementation of Hamiltonian BVMs ⋮ A new high-order energy-preserving scheme for the modified Korteweg-de Vries equation

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