Concepedia

Symplecticity-preserving continuous-stage Runge–Kutta–Nyström methods

Wensheng Tang

Applied Mathematics and Computation · 2017 · 41 citations · 14 references

DOI

Concepts

References

14

Solving ordinary differential equations I. nonstiff problems

Ernst Hairer, Gerhard Wanner · Mathematics and Computers in Simulation · 1987 · 4.1K citations · Full text

, , +9

The Numerical Analysis of Ordinary Differential Equations; Runge-Kutta and General Linear Methods.

Kenneth R. Jackson, J. C. Butcher · Mathematics of Computation · 1988 · 1.1K citations

, , +11

A new class of energy-preserving numerical integration methods

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

, , +11

Energy-preserving variant of collocation methods 1

Ernst Hairer · Archive ouverte UNIGE (University of Geneva) · 2010 · 197 citations · Full text

, , +8

Hamiltonian Boundary Value Methods (Energy Conserving Discrete Line Integral Methods)

Luigi Brugnano, Felice Iavernaro, Donato Trigiante · arXiv (Cornell University) · 2009 · 171 citations · Full text

, , +12