Aims
Analysing the fundamental mathematics of the main modern methods (finished elements and differences) of numerical resolution of equations to partial derivatives.
Main themes
Methods of finished elements to elliptic problems: variational formulations of limit problems, construction of spaces of finished element type, Sobolev spaces and generalized solutions, error estimations and convergence properties. Methods of finished differences to evolution problems: problems of initial conditions to constant coefficients and variable coefficients with two and three levels, relations between stability and convergence, applications to the energy method.
Other credits in programs
MAP22
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Deuxième année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(4.5 credits)
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MATH22/E
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Deuxième licence en sciences mathématiques (Economie mathématique)
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(4.5 credits)
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MATH22/G
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Deuxième licence en sciences mathématiques
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(4.5 credits)
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MATH22/S
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Deuxième licence en sciences mathématiques (Statistique)
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(4.5 credits)
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