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Stabilized multiste...
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Arévalo, CarmenLund 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,Simon Bolivar University
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Stabilized multistep methods for index 2 Euler-Lagrange DAEs
- Article/chapterEnglish1996
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LIBRIS-ID:oai:lup.lub.lu.se:cebee7a2-dfd2-4767-846d-def46e58b076
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https://lup.lub.lu.se/record/cebee7a2-dfd2-4767-846d-def46e58b076URI
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https://doi.org/10.1007/BF01740541DOI
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Language:English
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Summary in:English
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We consider multistep discretizations, stabilized by β-blocking, for Euler-Lagrange DAEs of index 2. Thus we may use “nonstiff” multistep methods with an appropriate stabilizing difference correction applied to the Lagrangian multiplier term. We show that order p =k + 1 can be achieved for the differential variables with order p =k for the Lagrangian multiplier fork-step difference corrected BDF methods as well as for low order k-step Adams-Moulton methods. This approach is related to the recently proposed “half-explicit” Runge-Kutta methods.
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Führer, ClausLund 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(Swepub:lu)na-cfu
(author)
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Söderlind, GustafLund 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(Swepub:lu)na-gso
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Numerisk analysForskargrupper vid Lunds universitet
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In:BIT36:1, s. 1-130006-3835
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