Analytical and Numerical Aspects of Partial Differential Equations: Notes of a Lecture Series

This text contains a series of self-contained reviews on the state of the art in different areas of partial differential equations, presented by French mathematicians. Topics include qualitative properties of reaction-diffusion equations, multiscale methods coupling atomistic and continuum mechanics, adaptive semi-Lagrangian schemes for the Vlasov-Poisson equation, and coupling of scalar conservation laws.

Review:

The comprehensiveness, integrative nature, and scientific base and approach of the book are impressively, distinctive features having the power to excite attention and shall be highly praised as a remarkable triumph. Superabundantly referenced, it will richly reward the reader's effort. In: Current Engineering Practice 11/2009