Italiano?
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go to the faculty official pages
Approximation methods
2003/2004. Mathematics.
Nota: Questo corso mutua anche il corso
di "Metodi computazionali della Fisica".
Program:
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numerical solution of linear systems (direct and iterative methods,
conjugate gradient,...).
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Boundary value problems in higher dimensions: Galerkin method, finite
elements, interpolation error, error estimates.
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Elliptic equations: L2 error estimate.
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Parabolic and hyperbolic equations.
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Computational problem: mesh generation, matrix assembly,...
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Adaptive methods for PDEs.
References:
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V. Comincioli,
Analisi Numerica, Metodi Modelli Applicazioni.
McGraw Hill
Libri Italia, Milano, 1990.
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A. Quarteroni e A. Valli,
Numerical approximation of partial
differential equations.
Springer, 1994.
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C. Johnson,
Numerical solution of partial differential equations by the
finite element method.
Cambridge university press, Cambridge 1990.
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G.H. Golub, C.F. Van Loan,
Matrix Computations.
The Johns Hopkins University Press,
Baltimore and London, 1993.