Automatic differentiation in C++ using expression templates and application to a flow control problem

Computing and Visualization in Science

Volumn 3, Issue 4, 2001, Pages 197-208

  Aubert, Pierre ^a   Di Césaré, Nicolas ^b   Pironneau, Olivier ^b  

^a UNIVERSITÉ LYON 1   (France)

^b UNIVERSITÉ PIERRE ET MARIE CURIE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

CYLINDERS (SHAPES);

AUTOMATIC DIFFERENTIATIONS; EXPRESSION TEMPLATES; FLOW CONTROL PROBLEMS; FORWARD MODE; OPERATOR OVERLOADING; UNSTEADY TURBULENT FLOWS;

FLOW CONTROL;

EID: 0141547076     PISSN: 14329360     EISSN: 14330369     Source Type: Journal    
DOI: 10.1007/s007910000048     Document Type: Article

References (19)

1. Barton, J., Nackman, L.: Scientific and Engineering C++. Addison- Wesley 1994
2. Bendtsen, C., Stauning, O.: Fadbad, a flexible C++ package for automatic differentiation using the forward and backward methods. Technical Report IMM-REP-1996-17. 1996
3. Bischof, C., Carle, A., Khademi, P., Mauer, A.: ADIFOR 2.0: Automatic differentiation of fortran 77 programs. IEEE Comp. Science and Engr. 3(3), 18-32 (1996)
4. Bischof, C., Roh, L., Mauer-Oats, A.J.: ADIC: an extensible automatic differentiation tool for ansi-c. Software Practice and Experience. 27(12), 1427-1456 (1997)
5. Desideri, J. A., Dervieux, A.: Compressible flow solvers using unstructured grids. In Computational fluid dynamics. Vol. 1,2. Rhode: Karman Inst. Fluid Dynamics 1988 p. 115
6. Eberhard, P.: Argonne theory institute: Differentiation of computational approximations to functions. SIAM NEWS. 32(1), (1999)
7. Griewank, A., Juedes, D., Utke, J.: Algorithm 755: ADOL-C: a package for the automatic differentiation of algorithms written in C/C++. j-TOMS. 22(2), 131-167 (1996)
8. Guillaume, P., Masmoudi, M.: Solution to the time-harmonic Maxwell's equations in a waveguide: use of higher-order derivatives for solving the discrete problem. SIAM J. Numer. Anal. 34(4), 1306-1330 (1997)
9. Mohammadi, B.: Fluid dynamics computation with NSC2KE, an userguide, release 1.0. Technical Report INRIA. (164) 1994
10. Mohammadi, B., Medic, G.: A critical evaluation of the classical k- model and wall-laws for unsteady flows over bluff bodies. Int. J. Comput. Fluid Dyn. 10(1), 1-11 (1998)
11. Mohammadi, B.: Contrôle d'instationnarités en couplage fluidestructure. Comptes rendus de l'Académie des sciences - Série IIb - Physique, mécanique, astronomie. 327(1), 115-118 (1999)
12. Myers, N.: A new and useful template technique: "Traits". C++ Report. 7(5), 32-35 (1995)
13. Rall, L.: Automatic Differentiation : Techniques and Applications. Lecture Notes in Computer Science 120. Springer-Verlag 1981
14. Rostaing, N., Dalmas, S., Galligo, A.: Automatic differentiation in Odyssee. Tellus. 45a(5), 558-568 (1993)
15. Stroustrup, B.: The C++ programming language. 3nd edn. Addison- Wesley 1997
16. Veldhuizen, T.: Using C++ template metaprograms. C++ Report. 7(4), 36-43 (1995). Reprinted in C++ Gems, ed. by Stanley Lippman
17. Veldhuizen, T.L.: Expression templates. C++ Report. 7(5), 26-31 (1995). Reprinted in C++ Gems, ed. by Stanley Lippman
18. Waterloo Maple Software. Maple Manual 1995
19. Wolfram Research. Mathematica Manual 1995