Ferreira, Chelo; López, José; Pérez Sinusia, Ester Analysis of singular one-dimensional linear boundary value problems using two-point Taylor expansions. (English) Zbl 1463.34093 Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 22, 21 p. (2020). MSC: 34B16 34A25 34B05 41A58 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Electron. J. Qual. Theory Differ. Equ. 2020, Paper No. 22, 21 p. (2020; Zbl 1463.34093) Full Text: DOI
Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez The use of two-point Taylor expansions in singular one-dimensional boundary value problems I. (English) Zbl 1395.34030 J. Math. Anal. Appl. 463, No. 2, 708-725 (2018). MSC: 34B16 34B15 34A25 PDFBibTeX XMLCite \textit{C. Ferreira} et al., J. Math. Anal. Appl. 463, No. 2, 708--725 (2018; Zbl 1395.34030) Full Text: DOI Link
Ferreira, Chelo; López, José L.; Sinusía, Ester Pérez Second order differential equations with an irregular singularity at the origin and a large parameter: convergent and asymptotic expansions. (English) Zbl 1389.34047 Carpathian J. Math. 32, No. 1, 63-70 (2016). MSC: 34A30 34A12 45D05 34B27 47N20 34E05 34A25 34B16 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Carpathian J. Math. 32, No. 1, 63--70 (2016; Zbl 1389.34047)
Ferreira, Chelo; López, José L.; Pérez Sinusía, Ester Convergent and asymptotic expansions of solutions of second-order differential equations with a large parameter. (English) Zbl 1300.34028 Anal. Appl., Singap. 12, No. 5, 523-536 (2014). MSC: 34A25 34A12 41A58 41A60 34B27 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Anal. Appl., Singap. 12, No. 5, 523--536 (2014; Zbl 1300.34028) Full Text: DOI
Ferreira, Chelo; Lopez, Jose L.; Perez Sinusia, Ester The Picard-Lindelöf’s theorem at a regular singular point. (English) Zbl 1313.34033 Carpathian J. Math. 29, No. 2, 167-178 (2013). Reviewer: Gustaf Gripenberg (Hut) MSC: 34A09 34A12 34A34 45D05 33C15 33C05 34A25 PDFBibTeX XMLCite \textit{C. Ferreira} et al., Carpathian J. Math. 29, No. 2, 167--178 (2013; Zbl 1313.34033)
López, J. L.; Sinusía, Ester Pérez; Temme, N. M. A three-point Taylor algorithm for three-point boundary value problems. (English) Zbl 1220.34023 J. Differ. Equations 251, No. 1, 26-44 (2011). MSC: 34B05 41A58 34B10 34A25 PDFBibTeX XMLCite \textit{J. L. López} et al., J. Differ. Equations 251, No. 1, 26--44 (2011; Zbl 1220.34023) Full Text: DOI Link
López, José Luis; Pérez Sinusía, Ester; Temme, Nico M. Solving one-dimensional linear boundary value problems by multi-point Taylor polynomials. Applications to special functions. (English) Zbl 1317.34028 López de Silanes, María Cruz (ed.) et al., Tenth international conference Zaragoza-Pau on applied mathematics and statistics, Jaca, Spain, September 15–17, 2008. Zaragoza: Prensas Universitarias de Zaragoza (ISBN 978-84-15031-53-6/pbk). Monografías Matemáticas “García de Galdeano” 35, 181-188 (2010). MSC: 34B05 34A25 41A58 PDFBibTeX XMLCite \textit{J. L. López} et al., Monogr. Mat. García Galdeano 35, 181--188 (2010; Zbl 1317.34028)
López, José L.; Sinusía, Ester Pérez Two-point Taylor expansions and one-dimensional boundary value problems. (English) Zbl 1213.34026 Math. Comput. 79, No. 272, 2103-2115 (2010). Reviewer: Carmen Simerská (Praha) MSC: 34B05 34A25 41A58 PDFBibTeX XMLCite \textit{J. L. López} and \textit{E. P. Sinusía}, Math. Comput. 79, No. 272, 2103--2115 (2010; Zbl 1213.34026) Full Text: DOI
López, José L. The Liouville-Neumann expansion in one-dimensional boundary value problems. (English) Zbl 1187.34013 Integral Transforms Spec. Funct. 21, No. 1-2, 125-133 (2010). MSC: 34A45 34B05 34A25 34B09 PDFBibTeX XMLCite \textit{J. L. López}, Integral Transforms Spec. Funct. 21, No. 1--2, 125--133 (2010; Zbl 1187.34013) Full Text: DOI
López, José L. The Liouville-Neumann expansion at a regular singular point. (English) Zbl 1155.34003 J. Difference Equ. Appl. 15, No. 2, 119-132 (2009). MSC: 34A25 34A45 33C15 33C05 PDFBibTeX XMLCite \textit{J. L. López}, J. Difference Equ. Appl. 15, No. 2, 119--132 (2009; Zbl 1155.34003) Full Text: DOI