Agocs, Fruzsina J.; Barnett, Alex H. An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost. (English) Zbl 07805451 SIAM J. Numer. Anal. 62, No. 1, 295-321 (2024). MSC: 65L60 34E05 PDFBibTeX XMLCite \textit{F. J. Agocs} and \textit{A. H. Barnett}, SIAM J. Numer. Anal. 62, No. 1, 295--321 (2024; Zbl 07805451) Full Text: DOI arXiv
Serkh, Kirill; Bremer, James Phase function methods for second order inhomogeneous linear ordinary differential equations. (English) Zbl 07784048 J. Sci. Comput. 98, No. 1, Paper No. 14, 21 p. (2024). MSC: 65L05 65L99 65D25 34Axx PDFBibTeX XMLCite \textit{K. Serkh} and \textit{J. Bremer}, J. Sci. Comput. 98, No. 1, Paper No. 14, 21 p. (2024; Zbl 07784048) Full Text: DOI arXiv
Bremer, James Phase function methods for second order linear ordinary differential equations with turning points. (English) Zbl 1518.34012 Appl. Comput. Harmon. Anal. 65, 137-169 (2023). MSC: 34A30 33Cxx 65L05 PDFBibTeX XMLCite \textit{J. Bremer}, Appl. Comput. Harmon. Anal. 65, 137--169 (2023; Zbl 1518.34012) Full Text: DOI arXiv
Bremer, James; Pang, Qiyuan; Yang, Haizhao Fast algorithms for the multi-dimensional Jacobi polynomial transform. (English) Zbl 1467.65116 Appl. Comput. Harmon. Anal. 52, 231-250 (2021). MSC: 65R10 PDFBibTeX XMLCite \textit{J. Bremer} et al., Appl. Comput. Harmon. Anal. 52, 231--250 (2021; Zbl 1467.65116) Full Text: DOI arXiv
Bremer, James A quasilinear complexity algorithm for the numerical simulation of scattering from a two-dimensional radially symmetric potential. (English) Zbl 1436.65194 J. Comput. Phys. 410, Article ID 109401, 21 p. (2020). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{J. Bremer}, J. Comput. Phys. 410, Article ID 109401, 21 p. (2020; Zbl 1436.65194) Full Text: DOI arXiv
Bremer, James An algorithm for the rapid numerical evaluation of Bessel functions of real orders and arguments. (English) Zbl 1418.65037 Adv. Comput. Math. 45, No. 1, 173-211 (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 65D20 33C10 33F05 33F10 65L99 34E05 PDFBibTeX XMLCite \textit{J. Bremer}, Adv. Comput. Math. 45, No. 1, 173--211 (2019; Zbl 1418.65037) Full Text: DOI arXiv
Jin, Congming; Ding, Jiu A maximum entropy method for solving the boundary value problem of second order ordinary differential equations. (English) Zbl 1403.34014 J. Math. Phys. 59, No. 10, 103505, 10 p. (2018). MSC: 34A45 34B05 34B18 PDFBibTeX XMLCite \textit{C. Jin} and \textit{J. Ding}, J. Math. Phys. 59, No. 10, 103505, 10 p. (2018; Zbl 1403.34014) Full Text: DOI Link
Bremer, James An algorithm for the numerical evaluation of the associated Legendre functions that runs in time independent of degree and order. (English) Zbl 1395.65005 J. Comput. Phys. 360, 15-38 (2018). MSC: 65D20 33C45 PDFBibTeX XMLCite \textit{J. Bremer}, J. Comput. Phys. 360, 15--38 (2018; Zbl 1395.65005) Full Text: DOI arXiv
Spigler, Renato Asymptotic-numerical approximations for highly oscillatory second-order differential equations by the phase function method. (English) Zbl 1404.65059 J. Math. Anal. Appl. 463, No. 1, 318-344 (2018). MSC: 65L05 65L10 34B05 34A30 34C10 PDFBibTeX XMLCite \textit{R. Spigler}, J. Math. Anal. Appl. 463, No. 1, 318--344 (2018; Zbl 1404.65059) Full Text: DOI
Bremer, James On the numerical calculation of the roots of special functions satisfying second order ordinary differential equations. (English) Zbl 1355.65037 SIAM J. Sci. Comput. 39, No. 1, A55-A82 (2017). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{J. Bremer}, SIAM J. Sci. Comput. 39, No. 1, A55--A82 (2017; Zbl 1355.65037) Full Text: DOI arXiv