 Aims
To better understand numerical methods for solving equations and to analyze their numerical properties such as convergence and stability. Equations solvers include finding zeros, solving systems of equations and solving ordinary differential equations.
Main themes
Numerical solution on non-linear equations: location of real and complex zeros of a polynomial, iterative methods and convergence theorems.
Numerical solution of linear systems : iterative methods (conjugate gradients, Jacobi, Gauss-Seidel, Krylov methods), preconditioning.
Numerical solution of ordinary differential equations : multistep methods, stability analysis, stiff differential equations.
Other credits in programs
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INFO22
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Deuxième année du programme conduisant au grade d'ingénieur civil informaticien
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(4 credits)
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MAP21
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Première année du programme conduisant au grade d'ingénieur civil en mathématiques appliquées
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(4 credits)
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Mandatory
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MATH21/G
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Première licence en sciences mathématiques (Général)
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(4 credits)
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STAT2MS
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Master en statistique, orientation générale, à finalité spécialisée
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(6 credits)
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