Computer simulation of liquids
Computer simulation of liquids
The Nosé-Poincaré method for constant temperature molecular dynamics
Journal of Computational Physics - Special issue on computational molecular biophysics
Backward Error Analysis for Numerical Integrators
SIAM Journal on Numerical Analysis
Understanding Molecular Simulation
Understanding Molecular Simulation
Practical Construction of Modified Hamiltonians
SIAM Journal on Scientific Computing
Molecular Modeling and Simulation: An Interdisciplinary Guide
Molecular Modeling and Simulation: An Interdisciplinary Guide
Shadow hybrid Monte Carlo: an efficient propagator in phase space of macromolecules
Journal of Computational Physics
Long-time averaging for integrable Hamiltonian dynamics
Numerische Mathematik
Computing statistics for Hamiltonian systems: A case study
Journal of Computational and Applied Mathematics
GSHMC: An efficient method for molecular simulation
Journal of Computational Physics
What Makes Molecular Dynamics Work?
SIAM Journal on Scientific Computing
Journal of Computational Physics
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The computation of statistical averages is one of the most important applications of molecular dynamics simulation, allowing for the estimation of macroscopic physical quantities through averages of observables sampled along microscopic trajectories. In this article, we investigate the impact of discretization error on the accuracy of molecular dynamics averages. Given a Hamiltonian system and a symplectic integrator, new weighting methods are derived to better approximate averages of certain observables, without changing the system or integrator. These new methods are shown to reduce discretization error and enhance the order of accuracy without high-overhead calculations.