An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs-Reference-Cited by-同舟云学术

An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs

Published:2011-02-19 Issue:1 Volume:51 Page:43-65
ISSN:0006-3835
Container-title:BIT Numerical Mathematics
language:en
Short-container-title:Bit Numer Math

Author:

Auzinger Winfried,Lehner Herbert,Weinmüller Ewa

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Computer Networks and Communications,Software

Link

http://link.springer.com/content/pdf/10.1007/s10543-011-0321-9.pdf

Reference33 articles.

1. Ascher, U.M., Spiteri, R.: Collocation software for boundary value differential-algebraic equations. SIAM J. Sci. Stat. Comput. 4, 938–952 (1994)

2. Auzinger, W., Kneisl, G., Koch, O., Weinmüller, E.: SBVP 1.0—a MATLAB solver for singular boundary value problems. Technical Report ANUM Preprint No. 2/02, Vienna University of Technology (2002)

3. Auzinger, W., Koch, O., Weinmüller, E.: Efficient collocation schemes for singular boundary value problems. Numer. Algorithms 31, 5–25 (2002)

4. Auzinger, W., Koch, O., Weinmüller, E.: Analysis of a new error estimate for collocation methods applied to singular boundary value problems. SIAM J. Numer. Anal. 42, 2366–2386 (2005)

5. Auzinger, W., Koch, O., Praetorius, D., Weinmüller, E.: New a posteriori error estimates for singular boundary value problems. Numer. Algorithms 40, 79–100 (2005)

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