Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications: In Honor of Professor Raytcho Lazarov's 40 Years of ... Proceedings in Mathematics & Statistics, 45) - Hardcover

Hardcover

ISBN 10: 1461471710 ISBN 13: 9781461471714

Publisher: Springer, 2013

Synopsis

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. 

About this title

From the Back Cover

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.

Edition details

• Publisher: Springer
• Publication date: 2013
• Language: English
• ISBN 10: 1461471710
• ISBN 13: 9781461471714
• Binding: Hardcover
• Number of pages: 339
• Editor: Iliev Oleg P., Margenov Svetozar D., Minev Peter D, Vassilevski Panayot S., Zikatanov Ludmil T