Block boundary value methods for linear Hamiltonian systems

DOI10.1016/0096-3003(95)00308-8zbMath0889.65076OpenAlexW2031233998MaRDI QIDQ1354253

Luigi Brugnano, Donato Trigiante

Publication date: 2 June 1998

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0096-3003(95)00308-8

zbMATH Keywords

numerical examplelinear Hamiltonian systemlinear multistep methodsharmonic oscillatorstability regionsboundary value method

Mathematics Subject Classification ID

Hamilton's equations (70H05) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99)

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Cites Work

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• Numerical solution of second-order linear difference equations
• Conservation of integrals and symplectic structure in the integration of differential equations by multistep methods

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