Anzinger, Winfried; Burdeos, Katrina N.; Fallahpour, Merlin; Koch, Othmar; Mendoza, Renier G.; Weinmüller, Ewa B. A numerical continuation method for parameter-dependent boundary value problems using bvpsuite 2.0. (English) Zbl 1499.65001 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 16, No. 1-2, 1-13 (2022). MSC: 65-04 65L10 65L60 PDFBibTeX XMLCite \textit{W. Anzinger} et al., JNAIAM, J. Numer. Anal. Ind. Appl. Math. 16, No. 1--2, 1--13 (2022; Zbl 1499.65001) Full Text: Link
Auzinger, Winfried; Einramhof, Lukas; Held, Karsten; Kauch, Anna; Koch, Othmar; Watzenböck, Clemens; Weinmüller, Ewa Efficient Adaptive Computation of the Dynamics of Mott Transistors. arXiv:2111.15505 Preprint, arXiv:2111.15505 [math.NA] (2021). BibTeX Cite \textit{W. Auzinger} et al., ``Efficient Adaptive Computation of the Dynamics of Mott Transistors'', Preprint, arXiv:2111.15505 [math.NA] (2021) Full Text: arXiv OA License
Amodio, Pierluigi; Budd, Chris J.; Koch, Othmar; Rottschäfer, Vivi; Settanni, Giuseppina; Weinmüller, Ewa Near critical, self-similar, blow-up solutions of the generalised Korteweg-de Vries equation: asymptotics and computations. (English) Zbl 1453.37064 Physica D 401, Article ID 132179, 16 p. (2020). MSC: 37K40 37K10 35B44 35Q53 65L60 PDFBibTeX XMLCite \textit{P. Amodio} et al., Physica D 401, Article ID 132179, 16 p. (2020; Zbl 1453.37064) Full Text: DOI
Budd, Chris; Koch, Othmar; Taghizadeh, Leila; Weinmüller, Ewa Asymptotic properties of the space-time adaptive numerical solution of a nonlinear heat equation. (English) Zbl 1401.65113 Calcolo 55, No. 4, Paper No. 43, 14 p. (2018). MSC: 65M70 65M50 PDFBibTeX XMLCite \textit{C. Budd} et al., Calcolo 55, No. 4, Paper No. 43, 14 p. (2018; Zbl 1401.65113) Full Text: DOI
Amodio, P.; Budd, C. J.; Koch, O.; Settanni, G.; Weinmüller, E. Asymptotical computations for a model of flow in saturated porous media. (English) Zbl 1334.76148 Appl. Math. Comput. 237, 155-167 (2014). MSC: 76S05 PDFBibTeX XMLCite \textit{P. Amodio} et al., Appl. Math. Comput. 237, 155--167 (2014; Zbl 1334.76148) Full Text: DOI Link
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
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
Hammerling, Robert; Koch, Othmar; Simon, Christa; Weinmüller, Ewa B. Numerical solution of singular ODE eigenvalue problems in electronic structure computations. (English) Zbl 1216.65096 Comput. Phys. Commun. 181, No. 9, 1557-1561 (2010). MSC: 65L15 34L16 34L40 PDFBibTeX XMLCite \textit{R. Hammerling} et al., Comput. Phys. Commun. 181, No. 9, 1557--1561 (2010; Zbl 1216.65096) Full Text: DOI
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
Cash, J.; Kitzhofer, G.; Koch, O.; Moore, G.; Weinmüller, E. Numerical solution of singular two point BVPs. (English) Zbl 1191.65099 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1-2, 129-149 (2009). MSC: 65L10 65L60 34B16 65Y20 PDFBibTeX XMLCite \textit{J. Cash} et al., JNAIAM, J. Numer. Anal. Ind. Appl. Math. 4, No. 1--2, 129--149 (2009; Zbl 1191.65099)
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
Kitzhofer, Georg; Koch, Othmar; Weinmüller, Ewa B. Pathfollowing for essentially singular boundary value problems with application to the complex Ginzburg-Landau equation. (English) Zbl 1162.65372 BIT 49, No. 1, 141-160 (2009). MSC: 65L10 34B40 34B16 PDFBibTeX XMLCite \textit{G. Kitzhofer} et al., BIT 49, No. 1, 141--160 (2009; Zbl 1162.65372) Full Text: DOI
Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E. Erratum: Efficient numerical solution of the density profile equation in hydrodynamics. (English) Zbl 1179.76062 J. Sci. Comput. 32, No. 3, 425-425 (2007). MSC: 76M25 76T10 PDFBibTeX XMLCite \textit{G. Kitzhofer} et al., J. Sci. Comput. 32, No. 3, 425--425 (2007; Zbl 1179.76062) Full Text: DOI
Kitzhofer, G.; Koch, O.; Lima, P.; Weinmüller, E. Efficient numerical solution of the density profile equation in hydrodynamics. (English) Zbl 1178.76280 J. Sci. Comput. 32, No. 3, 411-424 (2007). MSC: 76M25 76T10 PDFBibTeX XMLCite \textit{G. Kitzhofer} et al., J. Sci. Comput. 32, No. 3, 411--424 (2007; Zbl 1178.76280) Full Text: DOI Link
Rachunková, Irena; Koch, Othmar; Pulverer, Gernot; Weinmüller, Ewa On a singular boundary value problem arising in the theory of shallow membrane caps. (English) Zbl 1118.34013 J. Math. Anal. Appl. 332, No. 1, 523-541 (2007). MSC: 34B16 34B18 74K15 PDFBibTeX XMLCite \textit{I. Rachunková} et al., J. Math. Anal. Appl. 332, No. 1, 523--541 (2007; Zbl 1118.34013) Full Text: DOI
Auzinger, Winfried; Karner, Ernst; Koch, Othmar; Weinmüller, Ewa Collocation methods for the solution of eigenvalue problems for singular ordinary differential equations. (English) Zbl 1132.65070 Opusc. Math. 26, No. 2, 229-241 (2006). MSC: 65L15 34L16 34L30 65L60 65L70 65L50 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Opusc. Math. 26, No. 2, 229--241 (2006; Zbl 1132.65070)
Budd, C.; Koch, O.; Weinmüller, E. Computation of self-similar solution profiles for the nonlinear Schrödinger equation. (English) Zbl 1122.65066 Computing 77, No. 4, 335-346 (2006). MSC: 65L10 34B40 34B15 35Q55 34L40 65L60 65L70 PDFBibTeX XMLCite \textit{C. Budd} et al., Computing 77, No. 4, 335--346 (2006; Zbl 1122.65066) Full Text: DOI
Budd, Chris; Koch, Othmar; Weinmüller, Ewa From nonlinear PDEs to singular ODEs. (English) Zbl 1089.65104 Appl. Numer. Math. 56, No. 3-4, 413-422 (2006). MSC: 65M70 35K55 PDFBibTeX XMLCite \textit{C. Budd} et al., Appl. Numer. Math. 56, No. 3--4, 413--422 (2006; Zbl 1089.65104) Full Text: DOI
Auzinger, Winfried; Koch, Othmar; Praetorius, Dirk; Weinmüller, Ewa New a posteriori error estimates for singular boundary value problems. (English) Zbl 1082.65079 Numer. Algorithms 40, No. 1, 79-100 (2005). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L70 65L10 34B16 65L60 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Numer. Algorithms 40, No. 1, 79--100 (2005; Zbl 1082.65079) Full Text: DOI
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa Analysis of a new error estimate for collocation methods applied to singular boundary value problems. (English) Zbl 1087.65082 SIAM J. Numer. Anal. 42, No. 6, 2366-2386 (2005). Reviewer: Pat Lumb (Chester) MSC: 65L70 65L10 34B16 65L05 62L20 65L50 PDFBibTeX XMLCite \textit{W. Auzinger} et al., SIAM J. Numer. Anal. 42, No. 6, 2366--2386 (2005; Zbl 1087.65082) Full Text: DOI
Auzinger, W.; Koch, O.; Weinmüller, E. Efficient mesh selection for collocation methods applied to singular BVPs. (English) Zbl 1069.65093 J. Comput. Appl. Math. 180, No. 1, 213-227 (2005). MSC: 65L60 65L10 65L50 34B16 65L70 PDFBibTeX XMLCite \textit{W. Auzinger} et al., J. Comput. Appl. Math. 180, No. 1, 213--227 (2005; Zbl 1069.65093) Full Text: DOI
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa Collocation methods for boundary value problems with an essential singularity. (English) Zbl 1151.65336 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 4th international conference, LSSC 2003, Sozopol, Bulgaria, June 4–8, 2003. Revised papers. Berlin: Springer (ISBN 3-540-21090-3/pbk). Lecture Notes in Computer Science 2907, 347-354 (2004). MSC: 65L50 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Lect. Notes Comput. Sci. 2907, 347--354 (2004; Zbl 1151.65336) Full Text: DOI
Koch, Othmar; Weinmüller, Ewa Analytical and numerical treatment of a singular initial value problem in avalanche modeling. (English) Zbl 1089.34004 Appl. Math. Comput. 148, No. 2, 561-570 (2004). MSC: 34A12 65L05 74L05 86A60 PDFBibTeX XMLCite \textit{O. Koch} and \textit{E. Weinmüller}, Appl. Math. Comput. 148, No. 2, 561--570 (2004; Zbl 1089.34004) Full Text: DOI
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa New variants of defect correction for boundary value problems in ordinary differential equations. (English) Zbl 1040.65064 Chen, Zhangxin (ed.) et al., Current trends in scientific computing. ICM 2002 Beijing satellite conference on scientific computing, August 15–18, 2002, Xi’an, China. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3261-1/pbk). Contemp. Math. 329, 43-50 (2003). MSC: 65L10 65L70 65L12 65L20 34B15 34B16 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Contemp. Math. 329, 43--50 (2003; Zbl 1040.65064)
Auzinger, Winfried; Kneisl, Günter; Koch, Othmar; Weinmüller, Ewa A collocation code for singular boundary value problems in ordinary differential equations. (English) Zbl 1030.65089 Numer. Algorithms 33, No. 1-4, 27-39 (2003). MSC: 65L60 65L10 34B16 65L70 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Numer. Algorithms 33, No. 1--4, 27--39 (2003; Zbl 1030.65089) Full Text: DOI
Koch, Othmar; Weinmüller, Ewa B. The convergence of shooting methods for singular boundary value problems. (English) Zbl 1013.65081 Math. Comput. 72, No. 241, 289-305 (2003). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 34B16 65L20 PDFBibTeX XMLCite \textit{O. Koch} and \textit{E. B. Weinmüller}, Math. Comput. 72, No. 241, 289--305 (2003; Zbl 1013.65081) Full Text: DOI
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa Theory and solution techniques for singular boundary value problems in ordinary differential equations. (English) Zbl 1057.34503 Wyrzykowski, Roman (ed.) et al., Parallel processing and applied mathematics. 4th international conference, PPAM 2001, Nałȩczów, Poland, September 9–12, 2001. Revised papers. Berlin: Springer (ISBN 3-540-43792-4). Lect. Notes Comput. Sci. 2328, 851-861 (2002). MSC: 34B16 65L10 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Lect. Notes Comput. Sci. 2328, 851--861 (2002; Zbl 1057.34503) Full Text: Link
Auzinger, Winfried; Koch, Othmar; Weinmüller, Ewa Efficient collocation schemes for singular boundary value problems. (English) Zbl 1021.65038 Numer. Algorithms 31, No. 1-4, 5-25 (2002). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65L10 34B16 65L60 65L50 65L70 PDFBibTeX XMLCite \textit{W. Auzinger} et al., Numer. Algorithms 31, No. 1--4, 5--25 (2002; Zbl 1021.65038) Full Text: DOI
Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B. Initial value problems for systems of ordinary first and second order differential equations with a singularity of the first kind. (English) Zbl 1029.34002 Analysis, München 21, No. 4, 373-389 (2001). Reviewer: T.C.Gard (Athens/Georgia) MSC: 34A12 34A30 34A34 PDFBibTeX XMLCite \textit{O. Koch} et al., Analysis, München 21, No. 4, 373--389 (2001; Zbl 1029.34002) Full Text: DOI
Koch, Othmar; Weinmüller, Ewa B. Iterated defect correction for the solution of singular initial value problems. (English) Zbl 0989.65068 SIAM J. Numer. Anal. 38, No. 6, 1784-1799 (2001). Reviewer: K.Burrage (St.Lucia) MSC: 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{O. Koch} and \textit{E. B. Weinmüller}, SIAM J. Numer. Anal. 38, No. 6, 1784--1799 (2001; Zbl 0989.65068) Full Text: DOI
Koch, Othmar; Kofler, Peter; Weinmüller, Ewa B. The implicit Euler method for the numerical solution of singular initial value problems. (English) Zbl 0953.65052 Appl. Numer. Math. 34, No. 2-3, 231-252 (2000). Reviewer: Hermann Brunner (St.John’s) MSC: 65L06 65L05 65L20 34A34 PDFBibTeX XMLCite \textit{O. Koch} et al., Appl. Numer. Math. 34, No. 2--3, 231--252 (2000; Zbl 0953.65052) Full Text: DOI