Hanke, Michael; März, Roswitha; Tischendorf, Caren; Weinmüller, Ewa; Wurm, Stefan Least-squares collocation for linear higher-index differential-algebraic equations. (English) Zbl 1357.65106 J. Comput. Appl. Math. 317, 403-431 (2017). MSC: 65L80 65L60 65L08 65L05 65L10 34A09 34A30 65L20 PDFBibTeX XMLCite \textit{M. Hanke} et al., J. Comput. Appl. Math. 317, 403--431 (2017; Zbl 1357.65106) Full Text: DOI
Lamour, René; März, Roswitha; Weinmüller, Ewa Boundary-value problems for differential-algebraic equations: A survey. (English) Zbl 1343.65102 Ilchmann, Achim (ed.) et al., Surveys in differential-algebraic equations III. Cham: Springer (ISBN 978-3-319-22427-5/pbk; 978-3-319-22428-2/ebook). Differential-Algebraic Equations Forum, 177-309 (2015). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 65L80 34A09 34B05 34B15 65L60 65L70 65L12 PDFBibTeX XMLCite \textit{R. Lamour} et al., in: Surveys in differential-algebraic equations III. Cham: Springer. 177--309 (2015; Zbl 1343.65102) Full Text: DOI
Dick, Alexander; Koch, Othmar; März, Roswitha; Weinmüller, Ewa Convergence of collocation schemes for boundary value problems in nonlinear index 1 DAEs with a singular point. (English) Zbl 1262.65092 Math. Comput. 82, No. 282, 893-918 (2013). MSC: 65L80 65L60 65L20 65L70 34A09 PDFBibTeX XMLCite \textit{A. Dick} et al., Math. Comput. 82, No. 282, 893--918 (2013; Zbl 1262.65092) Full Text: DOI
Auzinger, Winfried; Lehner, Herbert; Weinmüller, Ewa An efficient asymptotically correct error estimator for collocation solutions to singular index-1 DAEs. (English) Zbl 1233.65049 BIT 51, No. 1, 43-65 (2011). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L70 65L80 65L60 65L20 34A09 PDFBibTeX XMLCite \textit{W. Auzinger} et al., BIT 51, No. 1, 43--65 (2011; Zbl 1233.65049) Full Text: DOI
Kitzhofer, G.; Koch, O.; Pulverer, G.; Simon, Ch.; Weinmüller, E. B. The new MATLAB code bvpsuite for the solution of singular implicit BVPs. (English) Zbl 1432.65100 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 5, No. 1-2, 113-134 (2010). MSC: 65L10 65L60 65Y15 PDFBibTeX XMLCite \textit{G. Kitzhofer} et al., JNAIAM, J. Numer. Anal. Ind. Appl. Math. 5, No. 1--2, 113--134 (2010; Zbl 1432.65100) Full Text: Link
Koch, Othmar; März, Roswitha; Praetorius, Dirk; Weinmüller, Ewa Collocation methods for index 1 DAEs with a singularity of the first kind. (English) Zbl 1196.65134 Math. Comput. 79, No. 269, 281-304 (2010). MSC: 65L80 65L60 65L70 34A05 PDFBibTeX XMLCite \textit{O. Koch} et al., Math. Comput. 79, No. 269, 281--304 (2010; Zbl 1196.65134) Full Text: DOI
Auzinger, W.; Lehner, H.; Weinmüller, E. Defect-based a posteriori error estimation for index 1 DAEs with a singularity of the first kind. (English) Zbl 1182.65130 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 2. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0708-4/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 2, 1009-1012 (2009). MSC: 65L70 65L80 34A09 65L60 PDFBibTeX XMLCite \textit{W. Auzinger} et al., AIP Conf. Proc. 1168, 1009--1012 (2009; Zbl 1182.65130) Full Text: DOI Link
Kitzhofer, G.; Koch, O.; Weinmüller, E. Numerical treatment of singular BVPs: the new Matlab code bvpsuite. (English) Zbl 1182.65122 Simos, Theodore E. (ed.) et al., Numerical analysis and applied mathematics. International conference on numerical analysis and applied mathematics 2009, Rethymno, Crete, Greece, September 18–22, 2009. Vol. 1. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0705-3/hbk; 978-0-7354-0709-1/set). AIP Conference Proceedings 1168, 1, 39-42 (2009). MSC: 65L10 34B16 65L80 34A09 68W30 65L60 65L70 65L50 PDFBibTeX XMLCite \textit{G. Kitzhofer} et al., AIP Conf. Proc. 1168, 39--42 (2009; Zbl 1182.65122) Full Text: DOI
Sickenberger, Thorsten; Weinmüller, Ewa; Winkler, Renate Local error estimates for moderately smooth problems. II: SDEs and SDAEs with small noise. (English) Zbl 1170.65005 BIT 49, No. 1, 217-245 (2009). MSC: 65C30 60H10 60H35 34A09 34F05 65L80 65L20 65L70 PDFBibTeX XMLCite \textit{T. Sickenberger} et al., BIT 49, No. 1, 217--245 (2009; Zbl 1170.65005) Full Text: DOI
Sickenberger, Thorsten; Weinmüller, Ewa; Winkler, Renate Local error estimates for moderately smooth problems. I: ODEs and DAEs. (English) Zbl 1118.65082 BIT 47, No. 1, 157-187 (2007). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L05 65L06 65L80 34A34 34A09 65L70 65C30 60H10 34F05 PDFBibTeX XMLCite \textit{T. Sickenberger} et al., BIT 47, No. 1, 157--187 (2007; Zbl 1118.65082) Full Text: DOI
März, Roswitha; Weinmüller, Ewa B. Solvability of boundary value problems for systems of singular differential-algebraic equations. (English) Zbl 0767.34003 SIAM J. Math. Anal. 24, No. 1, 200-215 (1993). Reviewer: S.L.Campbell (Raleigh) MSC: 34A09 34A12 34B05 34C20 34C30 PDFBibTeX XMLCite \textit{R. März} and \textit{E. B. Weinmüller}, SIAM J. Math. Anal. 24, No. 1, 200--215 (1993; Zbl 0767.34003) Full Text: DOI