Conservative, unconditionally stable discretization methods for Hamiltonian equations, applied to wave motion in lattice equations modeling protein molecules
type: Item
instance of: scholarly article
title: Conservative, unconditionally stable discretization methods for Hamiltonian equations, applied to wave motion in lattice equations modeling protein molecules
zbMATH Open document ID: 1228.92007
published in: Physica D
publication date: 2012-01-04T00:00:00Z
Mathematics Subject Classification ID: 92C05
Mathematics Subject Classification ID: 81Q99
zbMATH DE Number: 5994491
zbMATH Keywords: conservative time discretizations
zbMATH Keywords: unconditional stability
zbMATH Keywords: Hamiltonian systems
zbMATH Keywords: protein energetics
zbMATH Keywords: molecular chains
zbMATH Keywords: lattice wave equations
author: Brenton J. LeMesurier
MaRDI profile type: Publication
full work available at URL: j.physd.2011.09.012
OpenAlex ID: W1966487421
cites work: Solitons in Molecular Systems
cites work: Q3735028
cites work: The Vibrational Structure of Davydov Solitons
cites work: Geometric Numerical Integration
cites work: Geometric integration using discrete gradients
cites work: Lie-Poisson Hamilton-Jacobi theory and Lie-Poisson integrators
cites work: Lectures on Mechanics
cites work: Time integration and discrete Hamiltonian systems
cites work: Exact energy-momentum conserving algorithms and symplectic schemes for nonlinear dynamics
cites work: Derivation of the discrete conservation laws for a family of finite difference schemes
cites work: Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation
cites work: Symplectic integration of Hamiltonian systems
cites work: Q4315882
cites work: On the stability of symplectic and energy-momentum algorithms for nonlinear Hamiltonian systems with symmetry
cites work: Exact energy and momentum conserving algorithms for general models in nonlinear elasticity
DOI: 10.1016/J.PHYSD.2011.09.012
description: scientific article; zbMATH DE number 5994491