(Enter summary)
Abstract: Classical molecular dynamics simulation of a macromolecule requires
the use of an efficient time-stepping scheme that can faithfully
approximate the dynamics over many thousands of timesteps. Because
these problems are highly nonlinear, accurate approximation of
a particular solution trajectory on meaningful time intervals is neither
obtainable nor desired, but some restrictions, such as symplecticness,
can be imposed on the discretization which tend to imply good long
term behavior. The... (Update)
Context of citations to this paper: More
...at MSRI is supported by the National Science Foundation. This work was also supported by NSF DMS 9627330. 1 2 LEIMKUHLER AND REICH [8, 6], the systems are characterized by a multiplicity of timescales, generally meaning that a qualitatively important dynamic is manifest on a...
Cited by: More
Unknown - (1997)
(Correct)
A Reversible Averaging Integrator for Multiple Time-Scale.. - Leimkuhler, Reich (2001)
(Correct)
Ego - An Efficient Molecular Dynamics Program And Its.. - Eichinger, Heller.. (2000)
(Correct)
Active bibliography (related documents): More All
6.8: Integration Methods for Molecular Dynamics - Leimkuhler, Reich, Skeel (1996)
(Correct)
0.7: Torsion Dynamics of Molecular Systems - Reich (1996)
(Correct)
0.6: Smoothed Dynamics of Highly Oscillatory Hamiltonian Systems - Reich (1995)
(Correct)
Similar documents based on text: More All
0.3: A Time-Reversible Variable-Stepsize Integrator for.. - Barth, Leimkuhler, Reich (1997)
(Correct)
0.3: A Semi-Explicit, Variable-Stepsize, Time-Reversible.. - Barth, Leimkuhler, Reich (1997)
(Correct)
0.3: On higher-order semi-explicit symplectic partitioned Runge-Kutta.. - Reich (1997)
(Correct)
Related documents from co-citation: More All
4: Lattice-sum methods for calculating electrostatic interactions in molecular simu.. (context) - Luty, Tironi et al. - 1995
3: Molecular dynamics algorithms for multiple time scales: systems with disparate m.. (context) - Tuckerman, Berne et al. - 1991
3: Symplectic integration with variable stepsize
- Skeel - 1994
BibTeX entry: (Update)
B.J. Leimkuhler, S. Reich, and R. D. Skeel. Integration methods for molecular dynamics. In Mathematical approaches to biomolecular structure and dynamics, Seiten 161--185, New York, 1996. Springer. http://citeseer.ist.psu.edu/article/leimkuhler94integration.html More
@misc{ leimkuhler96integration,
author = "B. Leimkuhler and S. Reich and R. Skeel",
title = "Integration methods for molecular dynamics",
text = "B.J. Leimkuhler, S. Reich, and R. D. Skeel. Integration methods for molecular
dynamics. In Mathematical approaches to biomolecular structure and dynamics,
Seiten 161--185, New York, 1996. Springer.",
year = "1996",
url = "citeseer.ist.psu.edu/article/leimkuhler94integration.html" }
Citations (may not include all citations):
1526
Ten Lectures on Wavelets (context) - Daubechies - 1992
482
Iterative Solution of Nonlinear Equations in Several Variabl.. (context) - Ortega, Rheinboldt - 1970
306
Computer Simulation of Liquids (context) - Allen, Tildesley - 1987
229
Solving Ordinary Differential Equations (context) - Hairer, Norsett et al. - 1987
113
An Introduction to Mechanics and Symmetry (context) - Marsden, Ratiu - 1994
111
An Introduction to Differentiable Manifolds and Riemannian G.. (context) - Boothby - 1986
77
Numerical Hamiltonian Problems (context) - Sanz-Serna, Calvo - 1994
58
Averaging Methods in Nonlinear Dynamical Systems (context) - Sanders, Verhulst - 1985
53
the construction and comparison of difference schemes (context) - Strang - 1968
44
Dynamics of Proteins and Nucleic Acids (context) - McCammon, Harvey - 1987
38
Numerical integration of Cartesian equations of motion of a .. (context) - Ryckaert, Ciccotti et al. - 1977
37
Symplectic integration of constrained Hamiltonian systems by..
- Reich
30
Lie-Poisson Hamilton-Jacobi theory and LiePoisson integrator.. (context) - Ge, Marsden - 1988
28
Symplectic Numerical Integrators in Constrained Hamiltonian ..
- Leimkuhler, Skeel - 1994
27
Symplectic Maps for the N-body problem (context) - Wisdom, Holman - 1991
23
The development of variable step symplectic integrators (context) - Calvo, Sanz-Serna
21
Statistical Mechanics (context) - Pathria - 1972
20
Generalized Verlet algorithm for efficient molecular dynamic.. (context) - Grubmuller, Heller et al. - 1991
20
Dangers of multiple-time-step methods (context) - Biesiadecki, Skeel - 1993
19
Symplectic integration with variable stepsize
- Skeel, Biesiadecki - 1994
18
velocity' version of the shake algorithm for molecular dynam.. (context) - Andersen, Rattle - 1983
16
Symplectic partitioned Runge-Kutta methods for constrained H.. (context) - Jay - 1993
15
Smoothed dynamics of highly oscillatory Hamiltonian systems
- Reich - 1994
15
Molecular dynamics by the backward Euler method (context) - Peskin, Schlick - 1989
13
Multiple time step methods in molecular dynamics (context) - Streett, Tildesley et al. - 1978
11
Exact energy-momentum conserving algorithms and symplectic s.. (context) - Simo, Rarnow et al. - 1992
10
Brownian dynamics study of a polymer chain of linked rigid b.. (context) - Pear, Weiner - 1979
9
Some multistep methods for use in molecular dynamics calcula.. (context) - Beeman - 1976
8
Elastic molecular dynamics with flexible constraints (context) - Brooks, Zhou et al. - 1994
8
LIN: A new algorithm to simulate the dynamics of biomolecule.. (context) - Zhang, Schlick - 1993
6
Implicit Runge-Kutta methods for molecular dynamics integrat.. (context) - Janezic, Orel - 1993
6
Symplectic integrators and the conservation of angular momen.. (context) - Zhang, Skeel - 1995
4
Effects of constraints on the dynamics of macromolecules (context) - van Gunsteren, Karplus - 1982
4
Time-Reversible Difference Procedures (context) - Buneman - 1967
4
the order and attainable intervals of periodicity of explici.. (context) - Chawla - 1985
4
Constrained dynamics of flexible molecules (context) - van Gunsteren - 1980
3
Canonical numerical methods for molecular dynamics simulatio.. (context) - Okunbor, Skeel - 1994
3
Matlab Conference Proceedings (context) - Barth, guide - 1993
3
Symmetric multistep methods (context) - Lambert, Watson - 1976
3
Multiple time steps: Limits on the speedup of molecular dyna.. (context) - Scully, Hermans - 1993
2
Symmetric multistep methods for the numerical integation of .. (context) - Quinlan, Tremaine - 1990
2
Lie algebraic treatment of nonlinear beam dynamics (context) - Dragt, Neri et al. - 1988
2
Kansas Insitute for Theoretical and Computational Science (context) - Barth, Kuczera et al. - 1994
2
Classical statistical mechanics and constraints: A theorem a.. (context) - Fixman - 1974
2
Molecular dynamics with soft constraints (context) - Reich - 1994
2
eme des N corps dans un champ ext (context) - Hayli - 1967
Documents on the same site (http://www.math.ukans.edu/~leimkuhl/preprint.html): More
Numerical Solution of Differential-Algebraic Equations for.. - Führer, Leimkuhler (1991)
(Correct)
Orthosymplectic Integration Of Linear Hamiltonian Systems - Leimkuhler, Van Vleck (1996)
(Correct)
A Symplectic Integrator for Riemannian Manifolds - Leimkuhler, Patrick (1996)
(Correct)
Online articles have much greater impact More about CiteSeer.IST Add search form to your site Submit documents Feedback
CiteSeer.IST - Copyright Penn State and NEC