Adjoints for time-dependent optimal control

Lecture Notes in Computational Science and Engineering

Volumn 64 LNCSE, Issue , 2008, Pages 175-185

  Riehme, Jan ^a   Walther, Andrea ^b   Stiller, Jörg ^b   Naumann, Uwe ^c  

^a UNIVERSITY OF HERTFORDSHIRE   (United Kingdom)

^b DRESDEN UNIVERSITY OF TECHNOLOGY   (Germany)

^c RWTH AACHEN UNIVERSITY   (Germany)

Author keywords

AD enabled NAGWare Fortran compiler; Adjoints; Checkpointing; Optimal control; Revolve

Indexed keywords

AD-ENABLED NAGWARE FORTRAN COMPILER; ADJOINTS; CHECKPOINTING; OPTIMAL CONTROL; REVOLVE;

INTERSECTIONS; NONLINEAR PROGRAMMING;

DIFFERENTIATION (CALCULUS);

EID: 77950818045     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-540-68942-3_16     Document Type: Conference Paper

References (19)

1. Berggren, M.: Numerical solution of a flow-control problem: Vorticity reduction by dynamic boundary action. SIAM J. Sci. Comput. 19(3), 829-860 (1998)
2. Cockburn, B., Shu, C.: Runge-Kutta discontinuous Galerkin methods for convection-dominated problems. Journal of Scientific Computing 16, 173-261 (2001)
3. Collis, S.S., Joslin, R.D., Seifert, A., Theofilis, V.: Issues in active flow control: theory, control, simulation and experiment. Progress in Aerospace Sciences 40, 237-289 (2004)
4. Gendler, D., Naumann, U., Christiansen, B.: Automatic differentiation of assembler code. In: Proceedings of the IADIS International Conference on Applied Computing, pp. 431-436. IADIS (2007)
5. Griewank, A.: Achieving logarithmic growth of temporal and spatial complexity in reverse automatic differentiation. Optimization Methods and Software 1, 35-54 (1992)
6. Griewank, A.: Evaluating Derivatives. Principles and Techniques of Algorithmic Differentiation. SIAM (2000)
7. Griewank, A., Juedes, D., Utke, J.: ADOL-C, a package for the automatic differentiation of algorithms written in C/C++. ACM Trans. Math. Soft. 22, 131-167 (1996)
8. Griewank, A., Walther, A.: Revolve: An implementation of checkpointing for the reverse or adjoint mode of computational differentiation. ACM Trans. Math. Software 26, 19-45 (2000)
9. Gunzburger, M.D.: Perspectives in Flow Control and Optimization. Society for Industrial and Applied Mathematics, Philadelphia, PA, USA (2002)
10. Hascoët, L., Naumann, U., Pascual, V.: To-be-recorded analysis in reverse mode automatic differentiation. Future Generation Computer Systems 21, 1401-1417 (2005)
11. Kim, J., Bewley, T.R.: A linear systems approach to flow control. Annual Review of Fluid Mechanics 39, 383-417 (2007)
12. Kubota, K.: A Fortran77 preprocessor for reverse mode automatic differentiation with recursive checkpointing. Optimization Methods and Software 10, 319 - 336 (1998)
13. Maier, M., Naumann, U.: Intraprocedural adjoint code generated by the differentiation-enabled NAGWare Fortran compiler. In: Proceedings of 5th International Conference on Engineering Computational Technology (ECT 2006), pp. 1-19. Civil-Comp Press (2006)
14. Naumann, U., Maier, M., Riehme, J., Christiansen, B.: Automatic first- and second-order adjoints for truncated Newton. In: Proceedings of the Workshop on Computer Aspects of Numerical Algorithms (CANA'07). Wisla, Poland (2007). To appear.
15. Naumann, U., Riehme, J.: Computing adjoints with the NAGWare Fortran 95 compiler. In: H. Bücker, G. Corliss, P. Hovland, U. Naumann, B. Norris (eds.) Automatic Differentiation: Applications, Theory, and Tools, no. 50 in Lecture Notes in Computational Science and Engineering, pp. 159-170. Springer (2005)
16. Naumann, U., Riehme, J.: A differentiation-enabled Fortran 95 compiler. ACM Transactions on Mathematical Software 31(4), 458-474 (2005)
17. Spurk, J.H.: Fluid Mechanics. Springer (2007)
18. Stumm, P., Walther, A., Riehme, J., Naumann, U.: Structure-exploiting automatic differentiation of finite element discretizations. Tech. rep., SPP 1253-15-02, Technische Universität Dresden (2007)
19. Walther, A., Griewank, A.: Advantages of binomial checkpointing for memory-reduced adjoint calculations. In: M. Feistauer, V. Dolejší, P. Knobloch, K. Najzar (eds.) Numerical Mathematics and Advanced Applications, ENUMATH 2003, Prag, pp. 834-843. Springer (2004)