Liu, Xinggao; Xiao, Long; Lv, Lu; Liu, Ping; Xu, Guoqiang; Zheng, Zongzhun; Wang, Sen Analytical sensitivity computation using collocation method with non-uniform mesh discretisation for numerical solutions of optimal control problems. (English) Zbl 1480.49032 Int. J. Control 94, No. 3, 612-622 (2021). MSC: 49M25 65K10 PDFBibTeX XMLCite \textit{X. Liu} et al., Int. J. Control 94, No. 3, 612--622 (2021; Zbl 1480.49032) Full Text: DOI
Baydin, Atılım Güneş; Pearlmutter, Barak A.; Radul, Alexey Andreyevich; Siskind, Jeffrey Mark Automatic differentiation in machine learning: a survey. (English) Zbl 06982909 J. Mach. Learn. Res. 18(2017-2018), Paper No. 153, 43 p. (2018). MSC: 65D25 PDFBibTeX XMLCite \textit{A. G. Baydin} et al., J. Mach. Learn. Res. 18, Paper No. 153, 43 p. (2018; Zbl 06982909) Full Text: arXiv Link
Rump, Siegfried M. Mathematically rigorous global optimization in floating-point arithmetic. (English) Zbl 1398.65093 Optim. Methods Softw. 33, No. 4-6, 771-798 (2018). MSC: 65G20 65H20 65K05 PDFBibTeX XMLCite \textit{S. M. Rump}, Optim. Methods Softw. 33, No. 4--6, 771--798 (2018; Zbl 1398.65093) Full Text: DOI
Elsheikh, Atiyah An equation-based algorithmic differentiation technique for differential algebraic equations. (English) Zbl 1310.65087 J. Comput. Appl. Math. 281, 135-151 (2015). MSC: 65L80 PDFBibTeX XMLCite \textit{A. Elsheikh}, J. Comput. Appl. Math. 281, 135--151 (2015; Zbl 1310.65087) Full Text: DOI
Hascoet, Laurent; Pascual, Valérie The Tapenade automatic differentiation tool, principles, model, and specification. (English) Zbl 1295.65026 ACM Trans. Math. Softw. 39, No. 3, Article No. 20, 43 p. (2013). MSC: 65D25 65Y15 PDFBibTeX XMLCite \textit{L. Hascoet} and \textit{V. Pascual}, ACM Trans. Math. Softw. 39, No. 3, Article No. 20, 43 p. (2013; Zbl 1295.65026) Full Text: DOI
Patterson, Michael A.; Weinstein, Matthew; Rao, Anil V. An efficient overloaded method for computing derivatives of mathematical functions in MATLAB. (English) Zbl 1295.65027 ACM Trans. Math. Softw. 39, No. 3, Article No. 17, 36 p. (2013). MSC: 65D25 65Y15 PDFBibTeX XMLCite \textit{M. A. Patterson} et al., ACM Trans. Math. Softw. 39, No. 3, Article No. 17, 36 p. (2013; Zbl 1295.65027) Full Text: DOI
Andersson, Joel; Åkesson, Johan; Diehl, Moritz CasADi: a symbolic package for automatic differentiation and optimal control. (English) Zbl 1251.65020 Forth, Shaun (ed.) et al., Recent advances in algorithmic differentiation. Selected papers based on the presentations at the 6th international conference on automatic differentiation (AD2012), Fort Collins, CO, USA, July 23–27, 2012. Berlin: Springer (ISBN 978-3-642-30022-6/hbk; 978-3-642-30023-3/ebook). Lecture Notes in Computational Science and Engineering 87, 297-307 (2012). MSC: 65D25 68W30 65K05 90C30 PDFBibTeX XMLCite \textit{J. Andersson} et al., Lect. Notes Comput. Sci. Eng. 87, 297--307 (2012; Zbl 1251.65020) Full Text: DOI
De Witte, Virginie; Govaerts, Willy Numerical computation of normal form coefficients of bifurcations of ODEs in Matlab. (English) Zbl 1306.37047 Discrete Contin. Dyn. Syst. 2011, Suppl., 362-372 (2011). MSC: 37G05 65D25 65P30 PDFBibTeX XMLCite \textit{V. De Witte} and \textit{W. Govaerts}, Discrete Contin. Dyn. Syst. 2011, 362--372 (2011; Zbl 1306.37047) Full Text: Link
Padulo, Mattia; Guenov, Marin D. Worst-case robust design optimization under distributional assumptions. (English) Zbl 1242.76299 Int. J. Numer. Methods Eng. 88, No. 8, 797-816 (2011). MSC: 76N25 65K10 PDFBibTeX XMLCite \textit{M. Padulo} and \textit{M. D. Guenov}, Int. J. Numer. Methods Eng. 88, No. 8, 797--816 (2011; Zbl 1242.76299) Full Text: DOI
Toivanen, Jukka I.; Mäkinen, Raino A. E. Implementation of sparse forward mode automatic differentiation with application to electromagnetic shape optimization. (English) Zbl 1228.65031 Optim. Methods Softw. 26, No. 4-5, 601-616 (2011). MSC: 65D25 65Y20 49Q10 35Q61 PDFBibTeX XMLCite \textit{J. I. Toivanen} and \textit{R. A. E. Mäkinen}, Optim. Methods Softw. 26, No. 4--5, 601--616 (2011; Zbl 1228.65031) Full Text: DOI Link
Pryce, J. D.; Ghaziani, R. Khoshsiar; De Witte, V.; Govaerts, W. Computation of normal form coefficients of cycle bifurcations of maps by algorithmic differentiation. (English) Zbl 1203.65049 Math. Comput. Simul. 81, No. 1, 109-119 (2010). MSC: 65D25 68W30 PDFBibTeX XMLCite \textit{J. D. Pryce} et al., Math. Comput. Simul. 81, No. 1, 109--119 (2010; Zbl 1203.65049) Full Text: DOI Link
Neidinger, Richard D. Introduction to automatic differentiation and MATLAB object-oriented programming. (English) Zbl 1196.65048 SIAM Rev. 52, No. 3, 545-563 (2010). MSC: 65D25 68N19 68W30 65Y05 65H05 PDFBibTeX XMLCite \textit{R. D. Neidinger}, SIAM Rev. 52, No. 3, 545--563 (2010; Zbl 1196.65048) Full Text: DOI Link
Hascoët, Laurent; Dauvergne, Benjamin Adjoints of large simulation codes through automatic differentiation. (English. French summary) Zbl 1292.76059 Rev. Eur. Méc. Numér. 17, No. 1-2, 63-86 (2008). MSC: 76N25 76M25 65K10 PDFBibTeX XMLCite \textit{L. Hascoët} and \textit{B. Dauvergne}, Rev. Eur. Méc. Numér. 17, No. 1--2, 63--86 (2008; Zbl 1292.76059) Full Text: DOI
Padulo, Mattia; Forth, Shaun A.; Guenov, Marin D. Robust aircraft conceptual design using automatic differentiation in Matlab. (English) Zbl 1151.76566 Bischof, Christian H. (ed.) et al., Advances in automatic differentiation. Selected papers based on the presentations at the 5th international conference on automatic differentiation, Bonn, Germany, August 11–15, 2008. Berlin: Springer (ISBN 978-3-540-68935-5/pbk). Lecture Notes in Computational Science and Engineering 64, 271-280 (2008). MSC: 76N25 76M25 65K10 PDFBibTeX XMLCite \textit{M. Padulo} et al., Lect. Notes Comput. Sci. Eng. 64, 271--280 (2008; Zbl 1151.76566)
Giles, Mike B. Collected matrix derivative results for forward and reverse mode algorithmic differentiation. (English) Zbl 1154.65308 Bischof, Christian H. (ed.) et al., Advances in automatic differentiation. Selected papers based on the presentations at the 5th international conference on automatic differentiation, Bonn, Germany, August 11–15, 2008. Berlin: Springer (ISBN 978-3-540-68935-5/pbk). Lecture Notes in Computational Science and Engineering 64, 35-44 (2008). MSC: 65D25 PDFBibTeX XMLCite \textit{M. B. Giles}, Lect. Notes Comput. Sci. Eng. 64, 35--44 (2008; Zbl 1154.65308)
Kharche, Rahul V.; Forth, Shaun A. Source transformation for MATLAB automatic differentiation. (English) Zbl 1157.65529 Alexandrov, Vassil N. (ed.) et al., Computational science – ICCS 2006. 6th international conference, Reading, UK, May 28–31, 2006. Proceedings, Part IV. Berlin: Springer (ISBN 3-540-34385-7/pbk). Lecture Notes in Computer Science 3994, 558-565 (2006). MSC: 65Y15 65D25 PDFBibTeX XMLCite \textit{R. V. Kharche} and \textit{S. A. Forth}, Lect. Notes Comput. Sci. 3994, 558--565 (2006; Zbl 1157.65529) Full Text: DOI
Forth, Shaun A. An efficient overloaded implementation of forward mode automatic differentiation in MATLAB. (English) Zbl 1365.65053 ACM Trans. Math. Softw. 32, No. 2, 195-222 (2006). MSC: 65D25 65Y15 PDFBibTeX XMLCite \textit{S. A. Forth}, ACM Trans. Math. Softw. 32, No. 2, 195--222 (2006; Zbl 1365.65053) Full Text: DOI Link
Shampine, L. F.; Ketzscher, Robert; Forth, Shaun A. Using AD to solve BVPs in MATLAB. (English) Zbl 1073.65065 ACM Trans. Math. Softw. 31, No. 1, 79-94 (2005). MSC: 65L10 65L12 65D25 34B15 PDFBibTeX XMLCite \textit{L. F. Shampine} et al., ACM Trans. Math. Softw. 31, No. 1, 79--94 (2005; Zbl 1073.65065) Full Text: DOI