Publication: Automatic Differentiation of Algorithms: Theory, Implementation, and Application
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Automatic Differentiation of Algorithms: Theory, Implementation, and Application

- Book -


Andreas Griewank, George F. Corliss



AD Theory and Techniques

Contained Articles
- A System for the Differentiation of Fortran Code and an Application to Parameter Estimation in Forest Growth Models
- A Taxonomy of Automatic Differentiation Tools
- Application of Adjoint Equations to Estimation of Parameters in Distributed Dynamic Systems
- Application of the Adjoint Model in Meteorology
- Applying Automatic Differentiation and Self-Validation Numerical Methods in Satellite Simulations
- Automatic Differentiation Bibliography
- Automatic Differentiation from an Oceanographer's Perspective
- Automatic Differentiation in Astrodynamical Modeling
- Automatic Differentiation of Composite Functions
- Automatic Differentiation of Inverse Functions
- Automatic Differentiation of Nonlinear AMPL Models
- Automatic Differentiation Viewed from Optimal Control Theory
- Automatic Evaluation of Higher-Order Partial Derivatives for Nonlocal Sensitivity Analysis
- Computer Algebra as a Toolbox for Program Generation and Manipulation
- Efficient Numerical Program Generation and Computer Algebra Environments
- Experience with the Forward and Reverse Mode of GRESS in Contaminant Transport Modeling and Other Applications
- Forward Algorithms for High Orders and Many Variables with Application to Beam Physics
- GRESS, A Preprocessor for Sensitivity Studies of Fortran Programs
- History of Automatic Differentiation and Rounding Error Estimation
- Integration of Automatic Differentiation into Application Programs for PC's
- Issues in Parallel Automatic Differentiation
- MXYZPTLK: A C++ Hacker's Implementation of Automatic Differentiation
- Neural Networks, Backpropagation, and Automatic Differentiation
- On the Calculation of Jacobian Matrices by the Markowitz Rule
- Overloading Point and Interval Taylor Operators
- PADRE2, A Fortran Precompiler Yielding Error Estimates and Second Derivatives
- Point and Interval Differentiation Arithmetics
- Special Problems in Automatic Differentiation
- Synthetic Calculus --- A Paradigm of Mathematical Program Synthesis
- The Use of Adjoint Equations in Numerical Modelling of the Atmospheric Circulation
- Use of Automatic Differentiation for Calculating Hessians and Newton Steps
- User's Experience with FORTRAN Compilers in Least Squares Problems

       editor = "Andreas Griewank and George F. Corliss",
       title = "Automatic Differentiation of Algorithms: Theory, Implementation, and Application",
       publisher = "SIAM",
       address = "Philadelphia, PA",
       key = "Griewank1991ADo",
       comment = "Proceedings of the SIAM Workshop on the Automatic Differentiation of Algorithms in
         Breckenridge, Colorado, January 6 -- 8, 1991.",
       referred = "[Fuchi1996a], [Geitner1996ACo], [Goldman1996AAM], [Hutschenreiter1996ANM],
         [Klein2002DMf], [Kubota1996PFP], [Rall1996AIt].",
       isbn = "0--89871--284--X",
       year = "1991",
       ad_theotech = "General"


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