Concepedia

A new class of energy-preserving numerical integration methods

G. Quispel, David McLaren

Journal of Physics A Mathematical and Theoretical · 2008 · 446 citations · 17 references

DOI

Concepts

Abstract

The first ever energy-preserving B-series numerical integration method for (ordinary) differential equations is presented and applied to several Hamiltonian systems. Related novel Lie algebraic results are also discussed.

References

17

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Hopf Algebras, Renormalization and Noncommutative Geometry

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The numerical analysis of ordinary differential equations

Mathematics and Computers in Simulation · 1987 · 770 citations

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Splitting methods

Robert I. McLachlan, G. Quispel · Acta Numerica · 2002 · 661 citations

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