Jeux différentiels et approximation numérique de fonctions valeur. 2e partie : étude numérique

B. Alziary de Roquefort

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1991)

  • Volume: 25, Issue: 5, page 535-560
  • ISSN: 0764-583X

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Alziary de Roquefort, B.. "Jeux différentiels et approximation numérique de fonctions valeur. 2e partie : étude numérique." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 25.5 (1991): 535-560. <http://eudml.org/doc/193639>.

@article{AlziarydeRoquefort1991,
author = {Alziary de Roquefort, B.},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {Isaacs equations; convergence},
language = {fre},
number = {5},
pages = {535-560},
publisher = {Dunod},
title = {Jeux différentiels et approximation numérique de fonctions valeur. 2e partie : étude numérique},
url = {http://eudml.org/doc/193639},
volume = {25},
year = {1991},
}

TY - JOUR
AU - Alziary de Roquefort, B.
TI - Jeux différentiels et approximation numérique de fonctions valeur. 2e partie : étude numérique
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1991
PB - Dunod
VL - 25
IS - 5
SP - 535
EP - 560
LA - fre
KW - Isaacs equations; convergence
UR - http://eudml.org/doc/193639
ER -

References

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  1. [1] B. ALZIARY de ROQUEFORT, Jeux différentiels et approximation de fonctions valeur, première partie, RAIRO Modél. Math. Anal. Numér., 25, XX-XX. Zbl0734.90131
  2. [2] M. BARDI & P. SORAVIA, A. P.D.E. framework for games of pursuit evasion type, to appear in differential games and application, pp. 62-71. Zbl0679.90109MR1230190
  3. [3] P. BERNHARD, Differential Games : Isaacs' equation, Encyclopedia of Systems and control, Editor : Madam Singh, Pergamon Press, 1987. 
  4. [4] P. BERNHARD & J. V. BREAKWELL, Simple game with a singular focal line, J.O.T.A., to appear 1990. Zbl0666.90104MR1042004
  5. [5] J. V. BREAKWELL, Computed complete solutions to the game : lion and man, in Differential Games and Application, T.S. Bazar and P. Bernhard, Lectures Notes in Control and Inform. Sci. 119, Springer Verlag, 1989. 
  6. [6] I. CAPUZZO-DOLCETTA & P. L. LIONS, Hamilton-Jacobi equation and state constraints problem, IMA Preprint Ser. 342, Mineapolis, September 1987. MR951880
  7. [7] L. C. EVANS & P. E. SOUGANIDIS, Differential games and representation formulas for solutions of Hamilton-Jacobi-Isaacs equations, Indiana, vol. 33 n°5, 1984. Zbl1169.91317MR756158
  8. [8] M. G. CRANDALL & P. L. LIONS, Two approximations of solutions of Hamilton-Jacobi equations, Math. Comp. 43, July 1984,1-19. Zbl0556.65076MR744921
  9. [9] M. G. CRANDALL & P. L. LIONS, Remarks on the existence and uniqueness of unbounded viscosity solutions of Hamilton-Jacobi equations, Illinois J. Math. 31, winter 1987. Zbl0678.35009MR909790
  10. [10] M. G. CRANDALL, L. C. EVANS & P. L. LIONS, Some properties of viscosity solutions of Hamilton-Jacobi equations, Trans. Amer. Math. Soc. 282, April 1984. Zbl0543.35011MR732102
  11. [11] M. H. SONER, Optimal control with state-space constraint, I. Siam J. Control Optim. 24, n°3, 1986. Zbl0597.49023MR838056

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