Conservative, unconditionally stable discretization methods for Hamiltonian equations, applied to wave motion in lattice equations modeling protein molecules

DOI10.1016/j.physd.2011.09.012zbMath1228.92007OpenAlexW1966487421MaRDI QIDQ655557

Brenton J. LeMesurier

Publication date: 4 January 2012

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physd.2011.09.012

zbMATH Keywords

unconditional stabilityHamiltonian systemslattice wave equationsconservative time discretizationsprotein energeticsmolecular chains

Mathematics Subject Classification ID

Biophysics (92C05) General mathematical topics and methods in quantum theory (81Q99)

Related Items (1)

Studying Davydov's ODE model of wave motion in \(\alpha \)-helix protein using exactly energy-momentum conserving discretizations for Hamiltonian systems

Cites Work

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• Geometric integration using discrete gradients
• The Vibrational Structure of Davydov Solitons
• Solitons in Molecular Systems
• Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
• Geometric Numerical Integration

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