Lima, N.; Matos, J. A. O.; Matos, J. M. A.; Vasconcelos, P. B. A time-splitting tau method for PDE’s: a contribution for the spectral Tau Toolbox library. (English) Zbl 07538974 Math. Comput. Sci. 16, No. 1, Paper No. 7, 11 p. (2022). MSC: 65N35 PDFBibTeX XMLCite \textit{N. Lima} et al., Math. Comput. Sci. 16, No. 1, Paper No. 7, 11 p. (2022; Zbl 07538974) Full Text: DOI
Matos, João C.; Matos, José A.; Rodrigues, Maria João; Vasconcelos, Paulo B. Approximating the solution of integro-differential problems via the spectral tau method with filtering. (English) Zbl 1445.65026 Appl. Numer. Math. 149, 164-175 (2020). Reviewer: Alexander N. Tynda (Penza) MSC: 65L05 65L10 65R20 41A21 PDFBibTeX XMLCite \textit{J. C. Matos} et al., Appl. Numer. Math. 149, 164--175 (2020; Zbl 1445.65026) Full Text: DOI
Trindade, M.; Matos, J.; Vasconcelos, P. B. Dealing with functional coefficients within tau method. (English) Zbl 1416.65554 Math. Comput. Sci. 12, No. 2, 183-195 (2018). MSC: 65R20 65L05 65L10 34K28 PDFBibTeX XMLCite \textit{M. Trindade} et al., Math. Comput. Sci. 12, No. 2, 183--195 (2018; Zbl 1416.65554) Full Text: DOI
Vasconcelos, P. B.; Matos, J.; Trindade, M. S. Spectral Lanczos’ tau method for systems of nonlinear integro-differential equations. (English) Zbl 1404.65335 Constanda, Christian (ed.) et al., Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25–29, 2016. Basel: Birkhäuser/Springer (ISBN 978-3-319-59383-8/hbk; 978-3-319-59384-5/ebook). 305-314 (2017). MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} et al., in: Integral methods in science and engineering. Volume 1. Theoretical techniques. Based on talks given at the 14th international conference, Padova, Italy, July 25--29, 2016. Basel: Birkhäuser/Springer. 305--314 (2017; Zbl 1404.65335) Full Text: DOI arXiv
Gavina, Alexandra; Matos, José; Vasconcelos, Paulo Improving the accuracy of Chebyshev Tau method for nonlinear differential problems. (English) Zbl 1342.65162 Math. Comput. Sci. 10, No. 2, 279-289 (2016). MSC: 65L07 65L05 65L10 PDFBibTeX XMLCite \textit{A. Gavina} et al., Math. Comput. Sci. 10, No. 2, 279--289 (2016; Zbl 1342.65162) Full Text: DOI
Matos, José; Rodrigues, Maria João; Vasconcelos, Paulo B. New implementation of the tau method for PDEs. (English) Zbl 1038.65123 J. Comput. Appl. Math. 164-165, 555-567 (2004). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{J. Matos} et al., J. Comput. Appl. Math. 164--165, 555--567 (2004; Zbl 1038.65123) Full Text: DOI