Résumé
Dans cet article nous nous intéressons à l’approximation de la solution du problème parabolique :
où x désigne le point courant d’un domaine borné Ω de l’espace euclidien R2, A désigne l’opérateur elliptique :
satisfaisant à l’hypothèse: il existe α > o tel que :
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BUTCHER J.C. (1964): “Implicit Runge-Kutta processes”, Math. Comp. 18, 50–64.
CROUZEIX M. (1975): “Sur l’approximation des équations différentielles opérationnelles linéaires par des méthodes de Runge-Kutta”, Thèse, Paris.
CRYER C.W. (1973): “A new class of highly stable methods: A0-stable methods”, B.I.T. 13, 153–159.
DAHLQUIST G. (1963): “A special stability problem for linear multistep methods”, B.I.T. 3, 27–43.
GEAR C.W. (1971). “Numerical initial value problems in ordinary differential equations”, Prentice Hall, Inc.
RAVIART P.A. (1972): “The use of numerical integration in finite element methods for solving the parabolic equations”, 233–264, Topics in Numerical Analysis, (R.I.A.N.A. 1972) Academic Press London and New-York.
RIESZ F. et Sz. NAGY B. (1952): “Leçons d’analyse fonctionnelle”, Budapest.
ZLAMAL M. (1974): “Finite element methods for parabolic equations”, Math. Comp. 28, 393–404.
ZLAMAL M. (1975): “Finite element multistep discretizations of parabolic boundary value problems”, Math. Comp. 29, 350–359.
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Crouzeix, M. (1976). Sur les Methodes de Runge Kutta Pour L’approximation des Problemes D’evolution. In: Glowinski, R., Lions, J.L. (eds) Computing Methods in Applied Sciences and Engineering. Lecture Notes in Economics and Mathematical Systems, vol 134. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-85972-4_12
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DOI: https://doi.org/10.1007/978-3-642-85972-4_12
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