Concepedia

Sixth-order symplectic and symmetric explicit ERKN schemes for solving multi-frequency oscillatory nonlinear Hamiltonian equations

Bin Wang, Hongli Yang, Fanwei Meng

CALCOLO · 2016 · 67 citations · 30 references

DOI

Concepts

References

30

Construction of higher order symplectic integrators

Haruo Yoshida · Physics Letters A · 1990 · 2.3K citations

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Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method

Elena Celledoni, Volker Grimm, Robert I. McLachlan et al. · Journal of Computational Physics · 2012 · 294 citations · Full text

, , +14

A Gautschi-type method for oscillatory second-order differential equations

Marlis Hochbruck, Christian Lubich · Numerische Mathematik · 1999 · 240 citations · Full text

, , +8

Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations

Ernst Hairer, Christian Lubich · SIAM Journal on Numerical Analysis · 2000 · 240 citations · Full text

, , +10

Long-Time-Step Methods for Oscillatory Differential Equations

Bosco Garcı́a-Archilla, J. M. Sanz‐Serna, Robert D. Skeel · SIAM Journal on Scientific Computing · 1998 · 230 citations

, , +13