Publications by Dr David McLaren
Full list of publications
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Spreadsheets and Numerical Analysis, Chartwell-Bratt, UK, 1997. The errata sheet for this book is available on this site.
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G.R.W Quispel and D.I. McLaren, Explicit volume-preserving and symplectic integrators for trigonometric polynomial flows (PDF 119KB), J. Comp. Phys. 186 (2003) 308-316.
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D.I. McLaren and G.R.W. Quispel, Integral-preserving Integrators (PDF 114KB), J. Phys. A:Math.Gen. 37 (2004) L489 - L495.
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G.R.W.Quispel (joint with D.I.McLaren), Integral-preserving integrators (PDF 203KB), Oberwolfach Report 14/2006, 40-42.
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D.I McLaren and G.R.W. Quispel, Bootstrapping discrete-gradient integral-preserving integrators to fourth order, submitted for publication.
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G.R.W. Quispel and D.I. McLaren, A new class of energy-preserving numerical integration methods (PDF 203KB), J. Phys. A41 (2008), 045206 (7pp).
- D.I McLaren and G.R.W. Quispel, Bootstrapping discrete-gradient integral-preserving integrators to fourth order (PDF 165KB), in: M. Daniel, S. Rajasekar (Eds.), Nonlinear Dynamics, Narosa Publishing House 2009, 157-171.
Presentations
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SciCADE 2005 (Nagoya, Japan): presented talk entitled “Integral-Preserving Integrators” AMS 49th Annual Meeting 2005 (Perth, Australia): presented talk entitled “Integral-Preserving Integrators”.