Numerical Approximation of Partial Differential Equations

"...The book is excellent and is addressed to post-graduate students, research workers in applied sciences as well as to specialists in numerical mathematics solving PDE. Since it is written very clearly, it would be acceptable for undergraduate students in advanced courses of numerical mathematics. Readers will find this book to be a great pleasure."--MATHEMATICAL REVIEWS

• Basic Concepts and Methods for PDEs’ Approximation.- Numerical Solution of Linear Systems.- Finite Element Approximation.- Polynomial Approximation.- Galerkin, Collocation and Other Methods.- Approximation of Boundary Value Problems.- Elliptic Problems: Approximation by Galerkin and Collocation Methods.- Elliptic Problems: Approximation by Mixed and Hybrid Methods.- Steady Advection-Diffusion Problems.- The Stokes Problem.- The Steady Navier-Stokes Problem.- Approximation of Initial-Boundary Value Problems.- Parabolic Problems.- Unsteady Advection-Diffusion Problems.- The Unsteady Navier-Stokes Problem.- Hyperbolic Problems.