Automatic Differentiation: Applications, Theory, and Implementations

1. Perspectives on Automatic Differentiation: Past, Present, and Future?
Louis B. Rall

2. Backwards Differentiation in AD and Neural Nets: Past Links and New Opportunities
Paul J. Werbos

3. Solutions of ODEs with Removable Singularities
Harley Flanders

4. Automatic Propagation of Uncertainties
Bruce Christianson, Maurice Cox

5. High-Order Representation of Poincarée Maps
Johannes Grote, Martin Berz, Kyoko Makino

6. Computation of Matrix Permanent with Automatic Differentiation
Koichi Kubota

7. Computing Sparse Jacobian Matrices Optimally
Shahadat Hossain1, Trond Steihaug2

8. Application of AD-based Quasi-Newton Methods to Stiff ODEs
Sebastian Schlenkrich1, Andrea Walther, Andreas Griewank

9. Reduction of Storage Requirement by Checkpointing for Time-Dependent Optimal Control Problems in ODEs
Julia Sternberg, Andreas Griewank

10. Improving the Performance of the Vertex Elimination Algorithm for Derivative Calculation
M. Tadjouddine, F. Bodman, J. D. Pryce, S. A. Forth

11. Flattening Basic Blocks
Jean Utke

12. The Adjoint Data-Flow Analyses: Formalization, Properties, and Applications
Laurent Hascoëet, Mauricio Araya-Polo

13. Semiautomatic Differentiation for Efficient Gradient Computations
David M. Gay

14. Transforming Equation-Based Models in Process Engineering
Christian H. Bischof, H. Martin Büucker, Wolfgang Marquardt, Monika Petera, Jutta Wyes

15. Extension of TAPENADE toward Fortran 95
Valéerie Pascual, Laurent Hascoëet

16. A Macro Language for Derivative Definition in ADiMat
Christian H. Bischof, H. Martin Büucker, Andre Vehreschild

18. Simulation and Optimization of the Tevatron Accelerator
Pavel Snopok, Carol Johnstone, Martin Berz

19. Periodic Orbits of Hybrid Systems and Parameter Estimation via AD
Eric Phipps, Richard Casey, John Guckenheimer

20. Implementation of Automatic Differentiation Tools for Multicriteria IMRT Optimization
Kyung-Wook Jee, Daniel L. McShan, Benedick A. Fraass

21. Application of Targeted Automatic Differentiation to Large-Scale Dynamic Optimization
Derya B. Özyurt, Paul I. Barton

22. Automatic Differentiation: A Tool for Variational Data Assimilation and Adjoint Sensitivity Analysis for Flood Modeling
W. Castaings, D. Dartus, M. Honnorat, F.-X. Le Dimet, Y. Loukili, J. Monnier

23. Development of an Adjoint for a Complex Atmospheric Model, the ARPS, using TAF
Ying Xiao, Ming Xue, William Martin, Jidong Gao

24. Tangent Linear and Adjoint Versions of NASA/GMAO’s Fortran 90 Global Weather Forecast Model
Ralf Giering, Thomas Kaminski, Ricardo Todling, Ronald Errico, Ronald Gelaro, Nathan Winslow

25. Efficient Sensitivities for the Spin-Up Phase
Thomas Kaminski, Ralf Giering, Michael Voßbeck

26. Streamlined Circuit Device Model Development with fREEDAR® ãnd ADOL-C
Frank P. Hart, Nikhil Kriplani, Sonali R. Luniya, Carlos E. Christoffersen, Michael B. Steer

27. Adjoint Differentiation of a Structural Dynamics Solver
Mohamed Tadjouddine, Shaun A. Forth, Andy J. Keane

28. A Bibliography of Automatic Differentiation
H. Martin Martin Bücker, George F. Corliss

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Keywords: MATHEMATICS / General MAT000000