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Geometric Integrati...
Geometric Integration of Weakly Dissipative Systems
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- Modin, Klas (författare)
- Lund University,Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Führer, Claus (författare)
- Lund University,Lunds universitet,Numerisk analys,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Numerical Analysis,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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- Söderlind, Gustaf (författare)
- Lund University,Lunds universitet,Numerisk analys,Forskargrupper vid Lunds universitet,Matematik LTH,Matematikcentrum,Institutioner vid LTH,Lunds Tekniska Högskola,Numerical Analysis,Lund University Research Groups,Mathematics (Faculty of Engineering),Centre for Mathematical Sciences,Departments at LTH,Faculty of Engineering, LTH
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(creator_code:org_t)
- 2009
- 2009
- Engelska.
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Ingår i: Numerical Analysis and Applied Mathematics, Vols 1 and 2. - 1551-7616 .- 0094-243X. ; 1168, s. 877-877
- Relaterad länk:
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https://lup.lub.lu.s...
Abstract
Ämnesord
Stäng
- Some problems in mechanics, e.g. in bearing simulation, contain subsystems that are conservative as well as weakly dissipative subsystems. Our experience is that geometric integration methods are often superior for such systems, as long as the dissipation is weak. Here we develop adaptive methods for dissipative perturbations of Hamiltonian systems. The methods are "geometric" in the sense that the form of the dissipative perturbation is preserved. The methods are linearly explicit, i.e., they require the solution of a linear subsystem. We sketch an analysis in terms of backward error analysis and numerical comparisons with a conventional RK method of the same order is given.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- weakly dissipative systems
- Geometric integration
- splitting methods
- adaptive geometric integration
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- kon (ämneskategori)
- ref (ämneskategori)
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