Asaithambi, Asai Solution of third grade thin film flow using algorithmic differentiation. (English) Zbl 1446.76072 Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 74, 12 p. (2020). MSC: 76A20 76A05 76M45 65D25 PDFBibTeX XMLCite \textit{A. Asaithambi}, Int. J. Appl. Comput. Math. 6, No. 3, Paper No. 74, 12 p. (2020; Zbl 1446.76072) Full Text: DOI
Ernsthausen, John M.; Nedialkov, Nedialko S. Stepsize selection in the rigorous defect control of Taylor series methods. (English) Zbl 1429.65145 J. Comput. Appl. Math. 368, Article ID 112483, 10 p. (2020). MSC: 65L05 34A34 41A58 65G20 65G40 41A10 PDFBibTeX XMLCite \textit{J. M. Ernsthausen} and \textit{N. S. Nedialkov}, J. Comput. Appl. Math. 368, Article ID 112483, 10 p. (2020; Zbl 1429.65145) Full Text: DOI
Pellegrini, Etienne; Russell, Ryan P.; Vittaldev, Vivek \(F\) and \(G\) Taylor series solutions to the Stark and Kepler problems with Sundman transformations. (English) Zbl 1294.70007 Celest. Mech. Dyn. Astron. 118, No. 4, 355-378 (2014). MSC: 70F05 PDFBibTeX XMLCite \textit{E. Pellegrini} et al., Celest. Mech. Dyn. Astron. 118, No. 4, 355--378 (2014; Zbl 1294.70007) Full Text: DOI
Asaithambi, Asai Numerical solution of a third-order nonlinear boundary-value problem by automatic differentiation. (English) Zbl 1218.65073 Int. J. Comput. Math. 88, No. 7, 1484-1496 (2011). MSC: 65L10 34B15 PDFBibTeX XMLCite \textit{A. Asaithambi}, Int. J. Comput. Math. 88, No. 7, 1484--1496 (2011; Zbl 1218.65073) Full Text: DOI
Nedialkov, Nedialko S.; Pryce, John D. Solving differential algebraic equations by Taylor series. III: The DAETs code. (English) Zbl 1188.65111 JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1-2, 61-80 (2008). MSC: 65L80 34A09 65L05 41A58 PDFBibTeX XMLCite \textit{N. S. Nedialkov} and \textit{J. D. Pryce}, JNAIAM, J. Numer. Anal. Ind. Appl. Math. 3, No. 1--2, 61--80 (2008; Zbl 1188.65111)
Nedialkov, Nedialko S.; Pryce, John D. Solving differential-algebraic equations by Taylor series. II: Computing the system Jacobian. (English) Zbl 1123.65080 BIT 47, No. 1, 121-135 (2007). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L80 34A09 68W30 65L05 PDFBibTeX XMLCite \textit{N. S. Nedialkov} and \textit{J. D. Pryce}, BIT 47, No. 1, 121--135 (2007; Zbl 1123.65080) Full Text: DOI
Nedialkov, Nedialko S.; Pryce, John D. Solving differential-algebraic equations by Taylor series. I: Computing Taylor coefficients. (English) Zbl 1084.65075 BIT 45, No. 3, 561-591 (2005). Reviewer: Răzvan Răducanu (Iaşi) MSC: 65L80 34A09 68W30 PDFBibTeX XMLCite \textit{N. S. Nedialkov} and \textit{J. D. Pryce}, BIT 45, No. 3, 561--591 (2005; Zbl 1084.65075) Full Text: DOI
Jackson, Kenneth R.; Nedialkov, Nedialko S. Some recent advances in validated methods for IVPs for ODEs. (English) Zbl 0998.65068 Appl. Numer. Math. 42, No. 1-3, 269-284 (2002). MSC: 65L05 65G20 65G40 34A34 65L70 65L20 PDFBibTeX XMLCite \textit{K. R. Jackson} and \textit{N. S. Nedialkov}, Appl. Numer. Math. 42, No. 1--3, 269--284 (2002; Zbl 0998.65068) Full Text: DOI