Carli, Stefano; Hascoët, Laurent; Dekeyser, Wouter; Blommaert, Maarten Algorithmic differentiation for adjoint sensitivity calculation in plasma edge codes. (English) Zbl 07771308 J. Comput. Phys. 491, Article ID 112403, 17 p. (2023). MSC: 65Dxx 68Wxx 65Fxx PDFBibTeX XMLCite \textit{S. Carli} et al., J. Comput. Phys. 491, Article ID 112403, 17 p. (2023; Zbl 07771308) Full Text: DOI
Akbarzadeh, Siamak; Hückelheim, Jan; Müller, Jens-Dominik Consistent treatment of incompletely converged iterative linear solvers in reverse-mode algorithmic differentiation. (English) Zbl 1469.65073 Comput. Optim. Appl. 77, No. 2, 597-616 (2020). MSC: 65F10 65D25 PDFBibTeX XMLCite \textit{S. Akbarzadeh} et al., Comput. Optim. Appl. 77, No. 2, 597--616 (2020; Zbl 1469.65073) 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
Naumann, Uwe; Lotz, Johannes; Leppkes, Klaus; Towara, Markus Algorithmic differentiation of numerical methods: tangent and adjoint solvers for parameterized systems of nonlinear equations. (English) Zbl 1347.65099 ACM Trans. Math. Softw. 41, No. 4, Article No. 26, 21 p. (2015). MSC: 65H10 65Y20 68W30 PDFBibTeX XMLCite \textit{U. Naumann} et al., ACM Trans. Math. Softw. 41, No. 4, Article No. 26, 21 p. (2015; Zbl 1347.65099) Full Text: DOI
Hogan, Robin J. Fast reverse-mode automatic differentiation using expression templates in C++. (English) Zbl 1369.65037 ACM Trans. Math. Softw. 40, No. 4, Article No. 26, 16 p. (2014). MSC: 65D25 PDFBibTeX XMLCite \textit{R. J. Hogan}, ACM Trans. Math. Softw. 40, No. 4, Article No. 26, 16 p. (2014; Zbl 1369.65037) Full Text: DOI
Gauger, Nicolas; Walther, Andrea; Özkaya, Emre; Moldenhauer, Carsten Efficient aerodynamic shape optimization by structure exploitation. (English) Zbl 1293.76111 Optim. Eng. 13, No. 4, 563-578 (2012). MSC: 76N25 65K10 PDFBibTeX XMLCite \textit{N. Gauger} et al., Optim. Eng. 13, No. 4, 563--578 (2012; Zbl 1293.76111) Full Text: DOI
Cole-Mullen, Heather; Lyons, Andrew; Utke, Jean Storing versus recomputation on multiple DAGs. (English) Zbl 1251.65025 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, 197-207 (2012). MSC: 65D25 PDFBibTeX XMLCite \textit{H. Cole-Mullen} et al., Lect. Notes Comput. Sci. Eng. 87, 197--207 (2012; Zbl 1251.65025) Full Text: DOI
Espath, L. F. R.; Linn, R. V.; Awruch, A. M. Shape optimization of shell structures based on NURBS description using automatic differentiation. (English) Zbl 1242.74067 Int. J. Numer. Methods Eng. 88, No. 7, 613-636 (2011). MSC: 74P10 74K25 74S05 65D17 65D25 PDFBibTeX XMLCite \textit{L. F. R. Espath} et al., Int. J. Numer. Methods Eng. 88, No. 7, 613--636 (2011; Zbl 1242.74067) Full Text: DOI
Bücker, H. Martin; Slusanschi, Emil Second-order derivatives of the general-purpose finite element package SEPRAN via source transformation. (English) Zbl 1303.76085 Math. Comput. Simul. 81, No. 11, 2431-2439 (2011). MSC: 76M10 76T10 65D25 PDFBibTeX XMLCite \textit{H. M. Bücker} and \textit{E. Slusanschi}, Math. Comput. Simul. 81, No. 11, 2431--2439 (2011; Zbl 1303.76085) Full Text: DOI
Alexe, Mihai; Sandu, Adrian On the discrete adjoints of adaptive time stepping algorithms. (English) Zbl 1177.65098 J. Comput. Appl. Math. 233, No. 4, 1005-1020 (2009). MSC: 65L05 65L06 34A34 65L50 65L20 65L70 PDFBibTeX XMLCite \textit{M. Alexe} and \textit{A. Sandu}, J. Comput. Appl. Math. 233, No. 4, 1005--1020 (2009; Zbl 1177.65098) Full Text: DOI
Alexe, Mihai; Sandu, Adrian Forward and adjoint sensitivity analysis with continuous explicit Runge-Kutta schemes. (English) Zbl 1159.65071 Appl. Math. Comput. 208, No. 2, 328-346 (2009). MSC: 65L06 65L05 34A34 65Y15 PDFBibTeX XMLCite \textit{M. Alexe} and \textit{A. Sandu}, Appl. Math. Comput. 208, No. 2, 328--346 (2009; Zbl 1159.65071) Full Text: DOI
Bischof, Christian H.; Hovland, Paul D.; Norris, Boyana On the implementation of automatic differentiation tools. (English) Zbl 1168.65324 High.-Order Symb. Comput. 21, No. 3, 311-331 (2008). MSC: 65D25 68W30 PDFBibTeX XMLCite \textit{C. H. Bischof} et al., High.-Order Symb. Comput. 21, No. 3, 311--331 (2008; Zbl 1168.65324) Full Text: DOI
Naumann, Uwe Optimal Jacobian accumulation is NP-complete. (English) Zbl 1158.68013 Math. Program. 112, No. 2 (A), 427-441 (2008). MSC: 68Q17 65D25 PDFBibTeX XMLCite \textit{U. Naumann}, Math. Program. 112, No. 2 (A), 427--441 (2008; Zbl 1158.68013) Full Text: DOI
Noack, Antje; Walther, Andrea Adjoint concepts for the optimal control of Burgers equation. (English) Zbl 1278.49028 Comput. Optim. Appl. 36, No. 1, 109-133 (2007). MSC: 49K20 35Q53 76D55 49M25 65K10 PDFBibTeX XMLCite \textit{A. Noack} and \textit{A. Walther}, Comput. Optim. Appl. 36, No. 1, 109--133 (2007; Zbl 1278.49028) Full Text: DOI
Kaminski, Thomas; Giering, Ralf; Voßbeck, Michael Efficient sensitivities for the spin-up phase. (English) Zbl 1270.86004 Bücker, Martin (ed.) et al., Automatic differentiation: Applications, theory, and implementations. Selected papers based on the presentation at the 4th international conference on automatic differentiation (AD), Chicago, IL, USA, July 20–23, 2004. Berlin: Springer (ISBN 3-540-28403-6/pbk). Lecture Notes in Computational Science and Engineering 50, 285-293 (2006). MSC: 86A05 65D25 86-08 PDFBibTeX XMLCite \textit{T. Kaminski} et al., Lect. Notes Comput. Sci. Eng. 50, 285--293 (2006; Zbl 1270.86004)
Gay, David M. Semiautomatic differentiation for efficient gradient computations. (English) Zbl 1270.65012 Bücker, Martin (ed.) et al., Automatic differentiation: Applications, theory, and implementations. Selected papers based on the presentation at the 4th international conference on automatic differentiation (AD), Chicago, IL, USA, July 20–23, 2004. Berlin: Springer (ISBN 3-540-28403-6/pbk). Lecture Notes in Computational Science and Engineering 50, 147-158 (2006). MSC: 65D25 65Y99 PDFBibTeX XMLCite \textit{D. M. Gay}, Lect. Notes Comput. Sci. Eng. 50, 147--158 (2006; Zbl 1270.65012)
Klose, Alexander D.; Ntziachristos, Vasilis; Hielscher, Andreas H. The inverse source problem based on the radiative transfer equation in optical molecular imaging. (English) Zbl 1061.65143 J. Comput. Phys. 202, No. 1, 323-345 (2005). MSC: 65R20 45K05 92C55 PDFBibTeX XMLCite \textit{A. D. Klose} et al., J. Comput. Phys. 202, No. 1, 323--345 (2005; Zbl 1061.65143) Full Text: DOI
Bischof, Christian H.; Bücker, H. Martin; Wu, Po-Ting Time-parallel computation of pseudo-adjoints for a leapfrog scheme. (English) Zbl 1076.65068 Int. J. High Speed Comput. 12, No. 1, 1-27 (2004). MSC: 65L12 65L10 34B15 65Y05 65D25 PDFBibTeX XMLCite \textit{C. H. Bischof} et al., Int. J. High Speed Comput. 12, No. 1, 1--27 (2004; Zbl 1076.65068) Full Text: DOI
Hinze, Michael; Slawig, Thomas Adjoint gradients compared to gradients from algorithmic differentiation in instantaneous control of the Navier–Stokes equations. (English) Zbl 1051.49017 Optim. Methods Softw. 18, No. 3, 299-315 (2003). MSC: 49M25 49J20 76D05 65K10 76D55 PDFBibTeX XMLCite \textit{M. Hinze} and \textit{T. Slawig}, Optim. Methods Softw. 18, No. 3, 299--315 (2003; Zbl 1051.49017) Full Text: DOI
Tadjouddine, M.; Forth, S. A.; Pryce, J. D.; Reid, J. K. Performance issues for vertex elimination methods in computing Jacobians using automatic differentiation. (English) Zbl 1062.65027 Sloot, Peter M. A. (ed.) et al., Computational science - ICCS 2002. 2nd international conference, Amsterdam, the Netherlands, April. 21–24, 2002. Proceedings. Part 2. Berlin: Springer (ISBN 3-540-43593-X). Lect. Notes Comput. Sci. 2330, 1077-1086 (2002). MSC: 65D25 65Y15 PDFBibTeX XMLCite \textit{M. Tadjouddine} et al., Lect. Notes Comput. Sci. 2330, 1077--1086 (2002; Zbl 1062.65027) Full Text: Link
Daescu, Dacian; Carmichael, Gregory R.; Sandu, Adrian Adjoint implementation of Rosenbrock methods applied to variational data assimilation problems. (English) Zbl 1043.76051 J. Comput. Phys. 165, No. 2, 496-510 (2000). MSC: 76M25 76V05 86A10 PDFBibTeX XMLCite \textit{D. Daescu} et al., J. Comput. Phys. 165, No. 2, 496--510 (2000; Zbl 1043.76051) Full Text: DOI
Giering, Ralf; Kaminski, Thomas Recipes for adjoint code construction. (English) Zbl 0934.65027 ACM Trans. Math. Softw. 24, No. 4, 437-474 (1998). MSC: 65D25 86A05 86A10 65K05 90C30 PDFBibTeX XMLCite \textit{R. Giering} and \textit{T. Kaminski}, ACM Trans. Math. Softw. 24, No. 4, 437--474 (1998; Zbl 0934.65027) Full Text: DOI Link