Numerical Analysis and Optimization : An Introduction to Mathematical Modelling and Numerical Simulation

ISBN-13: 9780199205219 / Angielski / Twarda / 2007 / 472 str.

Gregoire Allaire; Alan Craig

Opis

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.