A Convergent String Method: Existence and Approximation for the Hamiltonian Boundary-Value Problem

DOI10.1142/9789814699877_0012zbMath1351.37269arXiv1502.01741OpenAlexW2145313832WikidataQ59902145 ScholiaQ59902145MaRDI QIDQ2832887

Johannes Zimmer, Hartmut R. Schwetlick

Publication date: 15 November 2016

Published in: Dynamical Systems, Number Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.01741

zbMATH Keywords

numerical approximationHamiltonian boundary value problemstring methodlong-time solutionsgeodesic solutionsJacobi's principletransition trajectories

Mathematics Subject Classification ID

Long-time behavior of solutions for dynamical problems in solid mechanics (74H40) Discrete version of topics in analysis (39A12) Numerical methods for Hamiltonian systems including symplectic integrators (65P10) Discretization methods and integrators (symplectic, variational, geometric, etc.) for dynamical systems (37M15) Approximation methods and numerical treatment of dynamical systems (37M99) Hamilton-Jacobi equations (35F21)

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