This text, based on the author's teaching at Ecole Polytechnique,
introduces the reader to the world of mathematical modelling and
numerical simulation. Covering the finite difference method;
variational formulation of elliptic problems; Sobolev spaces;
elliptical problems; the finite element method; Eigenvalue
problems; evolution problems; optimality conditions and algorithms
and methods of operational research, and including a several
exercises throughout, this is an ideal text for advanced
undergraduate students and graduates in applied mathematics,
engineering, computer science, and the physical sciences.
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