Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications

Download or read book Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications written by Oleg P. Iliev and published by Springer. This book was released on 2013-06-04 with total page 327 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the current main challenges in the area of scientific computing​ is the design and implementation of accurate numerical models for complex physical systems which are described by time dependent coupled systems of nonlinear PDEs. This volume integrates the works of experts in computational mathematics and its applications, with a focus on modern algorithms which are at the heart of accurate modeling: adaptive finite element methods, conservative finite difference methods and finite volume methods, and multilevel solution techniques. Fundamental theoretical results are revisited in survey articles and new techniques in numerical analysis are introduced. Applications showcasing the efficiency, reliability and robustness of the algorithms in porous media, structural mechanics and electromagnetism are presented. Researchers and graduate students in numerical analysis and numerical solutions of PDEs and their scientific computing applications will find this book useful.