Free access
Issue
ESAIM: M2AN
Volume 36, Number 2, March/April 2002
Page(s) 273 - 291
DOI http://dx.doi.org/10.1051/m2an:2002017
Published online 15 May 2002
  1. J. Audounet, V. Giovangigli and J.-M. Roquejoffre, A threshold phenomenon in the propagation of a point source initiated flame. Phys. D 121 (1998) 295-316. [CrossRef] [MathSciNet]
  2. J. Audounet and J.-M. Roquejoffre, An integral equation describing the propagation of a point source initiated flame: Asymptotics and numerical analysis. Systèmes différentiels fractionnaires: Modèles, Méthodes et Applications, Matignon & Montseny Eds, ESAIM Proc. 5 (1998).
  3. C. Bolley and M. Crouzeix, Conservation de la positivité lors de la discrétisation des problèmes d'évolution paraboliques. RAIRO Anal. Numér. 3 (1978) 237-245.
  4. H. Brunner, A survey of recent advances in the numerical treatment of Volterra integral and integro-differential equations. J. Comput. Appl. Math. 3 (1982) 213-229. [CrossRef]
  5. J. Buckmaster, G. Joulin and P. Ronney, The structure and stability of nonadiabatic flame balls. Combust. Flame 79 (1990) 381-392. [CrossRef]
  6. J. Buckmaster, G. Joulin and P. Ronney, The structure and stability of nonadiabatic flame balls. II. Effects on far-field losses. Combust. Flame 84 (1991) 411-422. [CrossRef]
  7. R. Gorenflo and S. Vessella, Abel Integral Equations. Analysis and Applications. Springer-Verlag, Berlin (1991).
  8. G. Joulin, Point source initiation of lean spherical flames of light reactants: An asymptotic theory. Combust. Sci. Tech. 43 (1985) 99-113. [CrossRef]
  9. O.A. Ladyzhenskaya, N.N. Uraltseva and S.N. Solonnikov, Linear and quasilinear equations of parabolic type. Transl. Math. Monogr. 23 (1968).
  10. C. Lubich, Discretized fractional calculus. SIAM J. Math. Anal. 3 (1986) 704-719. [CrossRef] [MathSciNet]
  11. C. Lubich and A. Ostermann, Linearly implicit time discretization of non-linear parabolic equations. IMA J. Numer. Anal. 15 (1995) 555-583. [CrossRef] [MathSciNet]
  12. H. Rouzaud, Dynamique d'un modèle intégro-différentiel de flammes sphériques avec pertes de chaleur. C.R. Acad. Sci. Paris Sér. 1 332 (2001) 1083-1086.

Recommended for you