Numerical Approximation of Partial Differential Equations

ISBN-13: 9783319812656 / Angielski / Miękka / 2018 / 535 str.

Soren Bartels

Spis treści

Preface.- Part I Finite differences and finite elements.- Elliptic partial differential equations.- Finite Element Method.-  Part II Local resolution and iterative solution.- Local Resolution Techniques.- Iterative Solution Methods.- Part III Constrained and singularly perturbed problems.- Saddled-point Problems.- Mixed and Nonstandard methods.- Applications.- Problems and Projects.- Implementation aspects.- Notations, inequalities, guidelines.- Index 

O autorze

Sören Bartels is Professor of Applied Mathematics at the Albert-Ludwigs University in Freiburg, Germany. His primary research interest is in the development and analysis of approximation schemes for nonlinear partial differential equations with applications in the simulation of modern materials. Professor Bartels has published the Springer textbook "Numerik 3x9" and the monograph "Numerical methods for nonlinear partial differential equations" in the Springer Series in Computational Mathematics.