L773:0006 3835
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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 (author)
Stabilized multistep methods for index 2 Euler-Lagrange DAEs
- Article/chapterEnglish1996
Publisher, publication year, extent ...
- 1996
- 13 s.
Numbers
- LIBRIS-ID:oai:lup.lub.lu.se:cebee7a2-dfd2-4767-846d-def46e58b076
- https://lup.lub.lu.se/record/cebee7a2-dfd2-4767-846d-def46e58b076URI
- https://doi.org/10.1007/BF01740541DOI
Supplementary language notes
- Language:English
- Summary in:English
Part of subdatabase
- SwePubSwePub
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Notes
- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Beräkningsmatematik hsv//swe
- NATURAL SCIENCES Mathematics Computational Mathematics hsv//eng
- differential algebraic equations (DAE)
- Euler-Lagrange equations
- multistep methods
- β-blocked methods
- partitioned methods
- compound multistep methods
Added entries (persons, corporate bodies, meetings, titles ...)
- 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)
- 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 (author)
- Numerisk analysForskargrupper vid Lunds universitet (creator_code:org_t)
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- In:BIT36:1, s. 1-130006-3835
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