FADBAD++ swMATH ID: 4863 Software Authors: Ole Stauning; Claus Bendtsen Description: FADBAD++ implements the forward, backward and Taylor methods utilizing C++ templates and operator overloading. These AD-templates enable the user to differentiate functions that are implemented in arithmetic types, such as doubles and intervals. One of the major ideas in FADBAD++ is that the AD-template types also behave like arithmetic types. This property of the AD-templates enables the user to differentiate a C++ function by replacing all occurrences of the original arithmetic type with the AD-template version. This transparency of behavior also makes it possible to generate high order derivatives by applying the AD-templates on themselves, enabling the user to combine the AD methods very easily. Homepage: http://www.fadbad.com/fadbad.html Related Software: ADOL-C; Cosy; ValEncIA-IVP; TADIFF; ADIFOR; PROFIL/BIAS; ADIC; ValEncIA; CppAD; SmartMobile; Taylor; CPLEX; TAPENADE; C-XSC; MAiNGO; NLopt; ANTIGONE; filib++; Ipopt; Matlab Cited in: 58 Publications all top 5 Cited by 103 Authors 8 Rauh, Andreas 5 Aschemann, Harald 5 Mitsos, Alexander 5 Nedialkov, Nedialko S. 4 Auer, Ekaterina 3 Bongartz, Dominik 3 Hofer, Eberhard P. 3 Minisini, Johanna 3 Najman, Jaromił 3 Pryce, John D. 3 Senkel, Luise 2 Asaithambi, Asai 2 Belouettar, Salim 2 Bischof, Christian H. 2 Kawahara, Mutsuto 2 Koutsawa, Yao 2 Nehmeier, Marco 2 Pearlmutter, Barak A. 2 Schweidtmann, Artur M. 2 Siskind, Jeffrey Mark 2 Walther, Andrea 1 Albring, Tim 1 Albu, Alla F. 1 Alonso, Juan J. 1 Bartha, Ferenc Ágoston 1 Baydin, Atılım Güneş 1 Brill, Michael H. 1 Combastel, Christophe 1 Cyranka, Jacek 1 Delinchant, Benoit 1 Deville, Yves 1 Dötschel, Thomas 1 Dumitrel, Vlad 1 Dyllong, Eva 1 Enciu, P. 1 Ernsthausen, John M. 1 Evensen, Geir 1 Faruque Hasan, M. M. 1 Fazal, Qaisra 1 Floudas, Christodoulos Achilleus 1 Freihold, Mareile 1 Gauger, Nicolas R. 1 Gerbaud, Laurent 1 Giles, Michael B. 1 Giunta, Gaetano 1 Gorchakov, Andrei 1 Grothe, Daniel 1 Günther, Clemens 1 Guzman, Yannis A. 1 Heuveline, Vincent 1 Hogan, Robin J. 1 Hovland, Paul D. 1 Hu, Heng 1 Huot, Mathieu 1 Jackson, Kenneth R. 1 Janssen, Micha 1 Joe, Harry 1 Kamikawa, Ayako 1 Kerkenhoff, Tim 1 Kersten, Julia 1 Kiel, Stefan 1 Klein, Wolfram 1 Kostin, Georgy Viktorovich 1 Krause, Mathias J. 1 Lamour, René 1 Lang, Bruno 1 Li, Xiang 1 Lin, Xiaopeng 1 Lin, Youdong 1 Luther, Wolfram Jérôme 1 Mahbub-ul Latif, Abu Hena M. 1 Maïga, Moussa 1 Makradi, Ahmed 1 Martins, Joaquim R. R. A. 1 Monett, Dagmar 1 Moraes, Rafael J. 1 Munthe-Kaas, Hans Z. 1 Nasser, Houssein 1 Neumaier, Arnold 1 Noack, Antje 1 Norris, Boyana 1 Pellegrini, Etienne 1 Pérez-Galván, Carlos 1 Raanes, Patrick N. 1 Radul, Alexey Andreyevich 1 Ramdani, Nacim 1 Russell, Ryan P. 1 Sagebaum, Max 1 Saurin, Vasily V. 1 Sluşanschi, Emil I. 1 Stadtherr, Mark A. 1 Staton, Sam 1 Stordal, Andreas S. 1 Sturdza, Peter 1 Takahashi, Yuya 1 Travé-Massuyès, Louise 1 Vákár, Matthijs 1 Van Hentenryck, Pascal 1 Vehreschild, Andre 1 Vittaldev, Vivek ...and 3 more Authors all top 5 Cited in 39 Serials 5 International Journal of Applied Mathematics and Computer Science 3 ACM Transactions on Mathematical Software 3 Computing 3 Optimization Methods & Software 2 BIT 2 Journal of Computational and Applied Mathematics 2 Applied Numerical Mathematics 2 Journal of Global Optimization 2 Mathematics in Computer Science 1 Acta Mechanica 1 Computers and Fluids 1 Journal of Optimization Theory and Applications 1 Mechanics Research Communications 1 SIAM Journal on Numerical Analysis 1 IMA Journal of Mathematical Control and Information 1 COMPEL 1 Journal of Scientific Computing 1 Numerical Algorithms 1 Computational Statistics 1 International Journal of Computer Mathematics 1 Celestial Mechanics and Dynamical Astronomy 1 Computational Optimization and Applications 1 Journal of Computer and Systems Sciences International 1 Discrete and Continuous Dynamical Systems 1 International Journal of Computational Fluid Dynamics 1 Soft Computing 1 Higher-Order and Symbolic Computation 1 Computational Geosciences 1 Optimization and Engineering 1 Journal of Machine Learning Research (JMLR) 1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science 1 JNAIAM. Journal of Numerical Analysis, Industrial and Applied Mathematics 1 Optimization Letters 1 Logical Methods in Computer Science 1 PAMM. Proceedings in Applied Mathematics and Mechanics 1 Mathematical Geosciences 1 Journal of Algorithms & Computational Technology 1 Mathematical Programming Computation 1 International Journal of Applied and Computational Mathematics all top 5 Cited in 21 Fields 36 Numerical analysis (65-XX) 15 Computer science (68-XX) 12 Ordinary differential equations (34-XX) 11 Systems theory; control (93-XX) 9 Operations research, mathematical programming (90-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Fluid mechanics (76-XX) 3 Partial differential equations (35-XX) 3 Mechanics of particles and systems (70-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Approximations and expansions (41-XX) 2 Mechanics of deformable solids (74-XX) 2 Geophysics (86-XX) 1 Mathematical logic and foundations (03-XX) 1 Integral equations (45-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Optics, electromagnetic theory (78-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Citations by Year