Aims
Analysing the fundamental mathematics of the main modern methods (finished elements and differences) of numerical resolution of equations to partial derivatives.
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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.
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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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