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

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

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One of the current main challenges in the area of scientific computinga€‹ 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.In Honor of Professor Raytcho Lazarova#39;s 40 Years of Research in Computational Methods and Applied Mathematics Oleg P. Iliev, Svetozar D. Margenov, Peter D Minev, ... Ph.D. thesis, Johannes Kepler University, Institute of Computational Mathematics, Linz, Austria (2012) Kolmbauer, M.: ... 34(6), B785a€”B809 (2012) Paige, C.C., Saunders, M.A.: Solutions of sparse indefinite systems of linear equations.


Title:Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
Author: Oleg P. Iliev, Svetozar D. Margenov, Peter D Minev, Panayot S. Vassilevski, Ludmil T. Zikatanov
Publisher:Springer Science & Business Media - 2013-06-04
ISBN-13:

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