Nouveaux algorithmes performants en théorie du transport

Samir Akesbi; Martial Nicolet

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique (1998)

  • Volume: 32, Issue: 3, page 341-358
  • ISSN: 0764-583X

How to cite

top

Akesbi, Samir, and Nicolet, Martial. "Nouveaux algorithmes performants en théorie du transport." ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique 32.3 (1998): 341-358. <http://eudml.org/doc/193877>.

@article{Akesbi1998,
author = {Akesbi, Samir, Nicolet, Martial},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique},
keywords = {transport equation; successive overrelaxation; algorithms},
language = {fre},
number = {3},
pages = {341-358},
publisher = {Dunod},
title = {Nouveaux algorithmes performants en théorie du transport},
url = {http://eudml.org/doc/193877},
volume = {32},
year = {1998},
}

TY - JOUR
AU - Akesbi, Samir
AU - Nicolet, Martial
TI - Nouveaux algorithmes performants en théorie du transport
JO - ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique
PY - 1998
PB - Dunod
VL - 32
IS - 3
SP - 341
EP - 358
LA - fre
KW - transport equation; successive overrelaxation; algorithms
UR - http://eudml.org/doc/193877
ER -

References

top
  1. [1] S. AKESBI, M. R. LAYDI, M. MOKHTAR-KHARROUBI, Décomposition d'opérateurs et accélération de la convergence en neutronique, C.R. Acad. Sci. Paris, t. 319, Série I, p. 765-770, 1994. Zbl0806.65143MR1300085
  2. [2] S. AKESBI, M. R. LAYDI, M. MOKHTAR KHARROUBI, Schemes and acceleration in transport theory, Journal of Transport Theory and Stat. Phys. (à paraître). Zbl0806.65143
  3. [3] S. AKESBI, M. NICOLET, Accélération de la convergence par relaxation en théorie du transport, C.R. Acad. Sci. Paris, t. 321, Série I, p. 637-640, 1995. Zbl0836.65150MR1356568
  4. [4] S. AKESBI, M. NICOLET, Décomposition d'opérateurs pour l'équation de transport stationnaire en géométrie bidimensionnelle. Proc. 26e Congrès National d'Analyse Numérique, p. 189-190, 1994. 
  5. [5] ALCOUFFE-CLARK-LARSEN, The Diffusion Synthetic acceleration in multiple Time Scales. J. Brackbill, editor Ac. Press (1985). 
  6. [6] P. G. CIARLET, Introduction à l'analyse numérique matricielle et à l'optimisation, Masson, 1982. Zbl0488.65001MR680778
  7. [7] R. KRESS, Linear integral equations, Springer Verlag, 1989. Zbl0671.45001MR1007594
  8. [8] E. W. LARSEN, Unconditionally stable diffusion-synthetic acceleration methods for the slab geometry discrete-ordinates equations, Part I, Part II. Nucl. Sc. and Eng. 1988. 
  9. [9] P. LASCAUX, R. THEODOR, Analyse numérique matricielle appliquée à l'art de l'ingénieur, tome 2, Masson, 1987. Zbl0601.65017MR883208
  10. [10] I. MAREK, Frobenius theory of positive operators, Comparison theorems and applications. Siam. Jour. Appl. Math., vol. 19, n° 3, November 1970. Zbl0219.47022MR415405
  11. [11] M. MOKHTAR-KHARROUBI, On the approximation of a class of transport equations, Transport Theory and Statistical Physics, 22 (4), p. 561-570, 1993. Zbl0788.65139MR1218862
  12. [12] P. NELSON, A Survey Convergence Results in Numerical Transport Theory. Com. Procedings in honor of G. M. Wing's 65th birthday Transport Theory, Invariant Imbedding, and Integral Edited by P. Nelson and al., 1989. 
  13. [13] R. SANCHEZ and N. J. McCORMICK, A review of Neutron Transport Approximations. Nucl. Sci. and Eng. 80, p. 481-535, 1982. 
  14. [14] R. S. VARGA, Matrix Iterative Analysis, Prentince-Hall, Englewood Cliffs N.J. 1962. Zbl0133.08602MR158502

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.