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Yuri G. Evtushenko, E. S. Zasuhina, V. I. Zubov
FAD Method to Compute Second Order Derivatives
Automatic Differentiation of Algorithms: From Simulation to Optimization, Springer, 2002
Theory & Techniques:
Hessian
C. Bendtsen, Ole Stauning
FADBAD, a Flexible C++ Package for Automatic Differentiation
Department of Mathematical Modelling, Technical University of Denmark, 1996
Tools:
FADBAD/TADIFF
Thomas F. Coleman, Wei Xu
Fast (Structured) Newton Computations
Article in SIAM Journal on Scientific Computing, SIAM, 2008
Theory & Techniques:
Sparsity
Koichi Kubota
Fast Automatic Differentiation and Applications
Ph.D. thesis, Division of Engineering of the Graduate School of the University of Tokyo, 1989
not yet classified
Dmitri Shiriaev
Fast Automatic Differentiation for Vector Processors and Reduction of the Spatial Complexity in a Source Translation Environment
Ph.D. thesis, Institute für angewandte Mathematik, Universität Karlsruhe, 1993
not yet classified
John D. Pryce, Emmanuel M. Tadjouddine
Fast Automatic Differentiation Jacobians by Compact LU Factorization
Article in SIAM Journal on Scientific Computing, SIAM, 2008
Theory & Techniques:
General
K. Röbenack
Fast Computation of Derivatives in Control --- An Approach based on Automatic Differentiation
Conference proceeding, 3rd DCDIS Conference on Engineering Applications and Computational Algorithms, Guelph, Ontario, Canada, May 15-18, 2003
Application Area:
Control
Tools:
ADOL-C
Theory & Techniques:
Taylor Arithmetic
Barak A. Pearlmutter
Fast Exact Multiplication by the Hessian
Article in Neural Computation, 1994
Theory & Techniques:
Hessian, Neural Networks
M. Hall I. Tsukanov
Fast Forward Automatic Differentiation Library (FFADLib): A User Manual
Spatial Automation Laboratory, University of Wisconsin-Madison, 2000
not yet classified
Isabelle Charpentier, Jean Utke
Fast higher-order derivative tensors with Rapsodia
Article in Optimization Methods & Software, Taylor & Francis, Inc., 2009
Tools:
Rapsodia
Theory & Techniques:
Forward Mode, Higher Order, Taylor Arithmetic
Robin J. Hogan
Fast Reverse-Mode Automatic Differentiation Using Expression Templates in C++
Article in ACM Transactions on Mathematical Software, 2014
Tools:
Adept
A. Kumar, P. Daoutidis
Feedback Regularization and Control of Nonlinear Differential-Algebraic-Equation Systems
1995
not yet classified
E. Varnik, U. Naumann
Fill-out exploitation on compressed row storage of extended Jacobians
Conference proceeding, Proceedings of the IADIS International Conference on Applied Computing, IADIS, 2007
Theory & Techniques:
Combinatorics
D. Zupanski, M. Zupanski, E. Rogers, D. F. Parrish, G. J. Dimego
Fine-Resolution 4dvar Data Assimilation For The Great Plains Tornado Outbreak Of 3 May 1999
Article in Weather Forecast., 2002
Application Area:
Meteorology
Tools:
TAMC
Theory & Techniques:
Adjoint
Paul S. Wang
FINGER: A symbolic system for automatic generation of numerical programs in finite element analysis
Article in J. Symbolic Computation, 1986
not yet classified
Z. Sirkes, E. Tziperman
Finite Difference of Adjoint or Adjoint of Finite Difference?
Article in Monthly Weather Review, 1997
not yet classified
Lawrence C. W. Dixon, P. Dolan, Richard C. Price
Finite Element Optimisation: The Use of Structured Automatic Differentiation
The Numerical Optimisation Center, Hatfield Polytechnic, 1986
not yet classified
Lawrence C. W. Dixon, Z. Maany, M. Mohseninia
Finite Element Optimization in Ada Using Automatic Differentiation
The Numerical Optimisation Center, Hatfield Polytechnic, 1988
not yet classified
Michihiko Matsuda
First Order Algebraic Differential Equations: a Differential Algebraic Approach
Springer-Verlag, 1980
not yet classified
J. W. Sawyer
First partial differentiation by computer with an application to categorical data analysis
Article in The American Statistician, 1984
not yet classified

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