Concepedia

Efficient energy-preserving integrators for oscillatory Hamiltonian systems

Xinyuan Wu, Bin Wang, Wei Shi

Journal of Computational Physics · 2012 · 97 citations · 43 references

DOI

Concepts

References

43

Reversible multiple time scale molecular dynamics

Mark E. Tuckerman, B. J. Berne, Glenn Martyna · The Journal of Chemical Physics · 1992 · 3.6K citations

, , +14

Geometric integration using discrete gradients

Robert I. McLachlan, G. Quispel, Nicolas Robidoux · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 1999 · 532 citations

, , +17

A new class of energy-preserving numerical integration methods

G. Quispel, David McLaren · Journal of Physics A Mathematical and Theoretical · 2008 · 446 citations

, , +11

Symplectic integrators for Hamiltonian problems: an overview

J. M. Sanz‐Serna · Acta Numerica · 1992 · 393 citations

, , +13

Explicit Runge–Kutta (–Nyström) Methods with Reduced Phase Errors for Computing Oscillating Solutions

P.J. van der Houwen, B.P. Sommeijer · SIAM Journal on Numerical Analysis · 1987 · 338 citations · Full text

, , +12