Concepedia

New energy-preserving schemes using Hamiltonian Boundary Value and Fourier pseudospectral methods for the numerical solution of the “good” Boussinesq equation

Jinliang Yan, Zhiyue Zhang

Computer Physics Communications · 2015 · 32 citations · 31 references

DOI

Concepts

References

31

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

Time integration and discrete Hamiltonian systems

Ó. González · Journal of Nonlinear Science · 1996 · 473 citations

, , +14

A new class of energy-preserving numerical integration methods

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

, , +11

Multi-symplectic structures and wave propagation

Thomas J. Bridges · Mathematical Proceedings of the Cambridge Philosophical Society · 1997 · 394 citations

, , +17

Finite Difference Calculus Invariant Structure of a Class of Algorithms for the Nonlinear Klein–Gordon Equation

Shaofan Li, L. Vu‐Quoc · SIAM Journal on Numerical Analysis · 1995 · 253 citations

, , +17