Concepedia

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

Elena Celledoni, Volker Grimm, Robert I. McLachlan, David McLaren, Dion O’Neale, Brynjulf Owren, G. Quispel

Journal of Computational Physics · 2012 · 294 citations · 30 references

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References

30

Applications of lie groups to differential equations

Acta Applicandae Mathematicae · 1990 · 6.1K citations

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On the Partial Difference Equations of Mathematical Physics

Richard Courant, Kurt Friedrichs, Hans Lewy · IBM Journal of Research and Development · 1967 · 2.4K citations

, , +14

A first course in the numerical analysis of differential equations

Choice Reviews Online · 2010 · 799 citations

, , +16

Splitting methods

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

, , +12

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