Grégoire Allaire - Numerical Analysis and Optimization: An Introduction to Mathematical Modelling and Numerical Simulation
Published: 2007-07-19 | ISBN: 0199205213, 0199205221 | PDF | 455 pages | 6.77 MB
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.