Stabilized multistep methods for index 2 Euler-Lagrange DAEs
(1996) In BIT 36(1). p.1-13- Abstract
- 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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https://lup.lub.lu.se/record/cebee7a2-dfd2-4767-846d-def46e58b076
- author
- Arévalo, Carmen LU ; Führer, Claus LU and Söderlind, Gustaf LU
- organization
- publishing date
- 1996
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- differential algebraic equations (DAE), Euler-Lagrange equations, multistep methods, β-blocked methods, partitioned methods, compound multistep methods
- in
- BIT
- volume
- 36
- issue
- 1
- pages
- 13 pages
- publisher
- Springer
- external identifiers
-
- scopus:0041415609
- ISSN
- 0006-3835
- DOI
- 10.1007/BF01740541
- language
- English
- LU publication?
- yes
- id
- cebee7a2-dfd2-4767-846d-def46e58b076
- date added to LUP
- 2017-02-08 09:32:44
- date last changed
- 2022-01-30 17:43:17
@article{cebee7a2-dfd2-4767-846d-def46e58b076, abstract = {{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.}}, author = {{Arévalo, Carmen and Führer, Claus and Söderlind, Gustaf}}, issn = {{0006-3835}}, keywords = {{differential algebraic equations (DAE); Euler-Lagrange equations; multistep methods; β-blocked methods; partitioned methods; compound multistep methods}}, language = {{eng}}, number = {{1}}, pages = {{1--13}}, publisher = {{Springer}}, series = {{BIT}}, title = {{Stabilized multistep methods for index 2 Euler-Lagrange DAEs}}, url = {{http://dx.doi.org/10.1007/BF01740541}}, doi = {{10.1007/BF01740541}}, volume = {{36}}, year = {{1996}}, }