Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications
In Honor of Professor Raytcho Lazarov's 40 Years of Research in Computational Methods and Applied Mathematics
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Beschreibung
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.
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.
Provides a broad spectrum of numerical techniques and real life applications of these techniques All fundamentally important aspects of numerical modeling of physical phenomena described by partial differential equations are covered Additionally, some state-of-the-art numerical multiscale discretization and solution techniques are presented ? Includes supplementary material: sn.pub/extras
Autor*in
Oleg P. Iliev
Themen in »Numerical Solution of Partial Differential Equations: Theory, Algorithms, and Their Applications«
Difference methods Elasticity Finite Element Methods Multigrid and Domain Decomposition Porous Media Flow partial differential equations