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Conservation of ene...
Conservation of energy, momentum and actions in numerical discretizations of non-linear wave equations
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- Cohen, David (author)
- Department of Mathematical Sciences, NTNU,Universität Basel,University of Basel
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- Hairer, Ernst (author)
- Section de Mathématiques, Université de Genève,Université de Genève,University of Geneva
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- Lubich, Christian (author)
- Mathematisches Institut, Universität Tübingen,Eberhard Karls Universität Tübingen,Eberhard Karls University of Tübingen
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(creator_code:org_t)
- 2008-07-10
- 2008
- English.
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In: Numerische Mathematik. - : Springer Science and Business Media LLC. - 0029-599X .- 0945-3245. ; 110:2, s. 113-143
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Abstract
Subject headings
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- For classes of symplectic and symmetric time-stepping methods- trigonometric integrators and the Stormer-Verlet or leapfrog method-applied to spectral semi-discretizations of semilinear wave equations in a weakly non-linear setting, it is shown that energy, momentum, and all harmonic actions are approximately preserved over long times. For the case of interest where the CFL number is not a small parameter, such results are outside the reach of standard backward error analysis. Here, they are instead obtained via a modulated Fourier expansion in time.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Publication and Content Type
- ref (subject category)
- art (subject category)
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