Adams, Mark; Tannahill, Connor; Muir, Paul Error control Gaussian collocation software for boundary value ODEs and 1D time-dependent PDEs. (English) Zbl 1416.65200 Numer. Algorithms 81, No. 4, 1505-1519 (2019). MSC: 65L06 65L10 65L80 65M20 65M70 PDFBibTeX XMLCite \textit{M. Adams} et al., Numer. Algorithms 81, No. 4, 1505--1519 (2019; Zbl 1416.65200) Full Text: DOI
Muir, Paul; Pew, Jack Recent advances in error control B-spline Gaussian collocation software for PDEs. (English) Zbl 1331.65147 Cojocaru, Monica G. (ed.) et al., Interdisciplinary topics in applied mathematics, modeling and computational science. Selected papers based on the presentations at the 2nd conference, AMMCS 2013, Waterloo, Canada, August 26–30, 2013. Cham: Springer (ISBN 978-3-319-12306-6/hbk; 978-3-319-12307-3/ebook). Springer Proceedings in Mathematics & Statistics 117, 329-334 (2015). MSC: 65M70 65Y15 35Q53 35K55 PDFBibTeX XMLCite \textit{P. Muir} and \textit{J. Pew}, Springer Proc. Math. Stat. 117, 329--334 (2015; Zbl 1331.65147) Full Text: DOI
Enright, W. H.; Muir, P. H. New interpolants for asymptotically correct defect control of BVODEs. (English) Zbl 1184.65078 Numer. Algorithms 53, No. 2-3, 219-238 (2010). MSC: 65L70 34B15 65L10 65L06 PDFBibTeX XMLCite \textit{W. H. Enright} and \textit{P. H. Muir}, Numer. Algorithms 53, No. 2--3, 219--238 (2010; Zbl 1184.65078) Full Text: DOI
Shampine, L. F.; Muir, P. H. Estimating conditioning of BVPs for ODEs. (English) Zbl 1074.65092 Math. Comput. Modelling 40, No. 11-12, 1309-1321 (2004). MSC: 65L10 65L70 34B15 PDFBibTeX XMLCite \textit{L. F. Shampine} and \textit{P. H. Muir}, Math. Comput. Modelling 40, No. 11--12, 1309--1321 (2004; Zbl 1074.65092) Full Text: DOI
Wang, Rong; Keast, Patrick; Muir, Paul A comparison of adaptive software for 1D parabolic PDEs. (English) Zbl 1052.65085 J. Comput. Appl. Math. 169, No. 1, 127-150 (2004). MSC: 65M20 65M50 65M70 35K55 65L80 65M15 65Y15 PDFBibTeX XMLCite \textit{R. Wang} et al., J. Comput. Appl. Math. 169, No. 1, 127--150 (2004; Zbl 1052.65085) Full Text: DOI
Wang, R.; Keast, P.; Muir, P. A high-order global spatially adaptive collocation method for 1-D parabolic PDEs. (English) Zbl 1049.65110 Appl. Numer. Math. 50, No. 2, 239-260 (2004). MSC: 65M70 35K55 65M15 65M50 PDFBibTeX XMLCite \textit{R. Wang} et al., Appl. Numer. Math. 50, No. 2, 239--260 (2004; Zbl 1049.65110) Full Text: DOI
Enright, W. H.; Muir, P. H. Efficient classes of Runge-Kutta methods for two-point boundary value problems. (English) Zbl 0594.65064 Computing 37, 315-334 (1986). MSC: 65L10 65L05 65L20 34B15 PDFBibTeX XMLCite \textit{W. H. Enright} and \textit{P. H. Muir}, Computing 37, 315--334 (1986; Zbl 0594.65064) Full Text: DOI