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Improving the accur...
Improving the accuracy of BDF methods for index 3 dierential algebraic equations
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- Arévalo, Carmen (author)
- 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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- Lötstedt, Per (author)
- Uppsala universitet,Uppsala University,Institutionen för teknisk databehandling,Numerisk analys
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(creator_code:org_t)
- 1995
- 1995
- English 12 s.
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In: BIT. - 0006-3835 .- 1572-9125. ; 35:3, s. 297-308
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Abstract
Subject headings
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- Methods for solving index 3 DAEs based on BDFs suffer a loss of accuracy when there is a change of step size or a change of order of the method. A layer of nonuniform convergence is observed in these cases, and O(1) errors may appear in the algebraic variables. From the viewpoint of error control, it is beneficial to allow smooth changes of step size, and since most codes based on BDFs are of variable order, it is also of interest to avoid the inaccuracies caused by a change of order of the method. In the case of BDFs applied to index 3 DAEs in semi-explicit form, we present algorithms that correct to O(h) the inaccurate approximations to the algebraic variables when there are changes of step size in the backward Euler method. These algorithms can be included in an existing code at a very small cost. We have also described how to obtain formulas that correct the O(1) errors in the algebraic variables appearing after a change of order.
Subject headings
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Keyword
- BDF
- differential-algebraic equation
- index 3
Publication and Content Type
- art (subject category)
- ref (subject category)
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