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
Christianson, Bruce Differentiating through conjugate gradient. (English) Zbl 1453.65068 Optim. Methods Softw. 33, No. 4-6, 988-994 (2018). MSC: 65F10 68W30 90C52 PDFBibTeX XMLCite \textit{B. Christianson}, Optim. Methods Softw. 33, No. 4--6, 988--994 (2018; Zbl 1453.65068) Full Text: DOI Link
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
Charpentier, I. On higher-order differentiation in nonlinear mechanics. (English) Zbl 1242.41031 Optim. Methods Softw. 27, No. 2, 221-232 (2012). MSC: 41A58 65P30 68N19 74-02 PDFBibTeX XMLCite \textit{I. Charpentier}, Optim. Methods Softw. 27, No. 2, 221--232 (2012; Zbl 1242.41031) 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
Röbenack, Klaus; Reinschke, Kurt J. The computation of Lie derivatives and Lie brackets based on automatic differentiation. (English) Zbl 1037.93029 ZAMM, Z. Angew. Math. Mech. 84, No. 2, 114-123 (2004). MSC: 93B40 93C10 93B29 65D25 PDFBibTeX XMLCite \textit{K. Röbenack} and \textit{K. J. Reinschke}, ZAMM, Z. Angew. Math. Mech. 84, No. 2, 114--123 (2004; Zbl 1037.93029) Full Text: DOI
Griewank, A. ODE solving via automatic differentiation and rational prediction. (English) Zbl 0849.65049 Griffiths, D. F. (ed.) et al., Numerical analysis 1995. Proceedings of the 16th Dundee conference on numerical analysis, University of Dundee, UK, June 27-30, 1995. Harlow: Longman. Pitman Res. Notes Math. Ser. 344, 36-56 (1996). Reviewer: H.Brunner (St.John’s) MSC: 65L05 65L06 34A30 65L20 34E13 PDFBibTeX XMLCite \textit{A. Griewank}, Pitman Res. Notes Math. Ser. 344, 36--56 (1996; Zbl 0849.65049)