Multiple Shooting and Time Domain Decomposition Methods

Multiple Shooting and Time Domain Decomposition Methods
Title Multiple Shooting and Time Domain Decomposition Methods PDF eBook
Author Thomas Carraro
Publisher Springer
Pages 424
Release 2015-10-26
Genre Mathematics
ISBN 3319233211

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This book offers a comprehensive collection of the most advanced numerical techniques for the efficient and effective solution of simulation and optimization problems governed by systems of time-dependent differential equations. The contributions present various approaches to time domain decomposition, focusing on multiple shooting and parareal algorithms. The range of topics covers theoretical analysis of the methods, as well as their algorithmic formulation and guidelines for practical implementation. Selected examples show that the discussed approaches are mandatory for the solution of challenging practical problems. The practicability and efficiency of the presented methods is illustrated by several case studies from fluid dynamics, data compression, image processing and computational biology, giving rise to possible new research topics. This volume, resulting from the workshop Multiple Shooting and Time Domain Decomposition Methods, held in Heidelberg in May 2013, will be of great interest to applied mathematicians, computer scientists and all scientists using mathematical methods.

Domain Decomposition Methods in Science and Engineering XXIII

Domain Decomposition Methods in Science and Engineering XXIII
Title Domain Decomposition Methods in Science and Engineering XXIII PDF eBook
Author Chang-Ock Lee
Publisher Springer
Pages 419
Release 2017-03-15
Genre Computers
ISBN 3319523899

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This book is a collection of papers presented at the 23rd International Conference on Domain Decomposition Methods in Science and Engineering, held on Jeju Island, Korea on July 6-10, 2015. Domain decomposition methods solve boundary value problems by splitting them into smaller boundary value problems on subdomains and iterating to coordinate the solution between adjacent subdomains. Domain decomposition methods have considerable potential for a parallelization of the finite element methods, and serve a basis for distributed, parallel computations.

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations

Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations
Title Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations PDF eBook
Author Tarek Mathew
Publisher Springer Science & Business Media
Pages 775
Release 2008-06-25
Genre Mathematics
ISBN 354077209X

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Domain decomposition methods are divide and conquer computational methods for the parallel solution of partial differential equations of elliptic or parabolic type. The methodology includes iterative algorithms, and techniques for non-matching grid discretizations and heterogeneous approximations. This book serves as a matrix oriented introduction to domain decomposition methodology. A wide range of topics are discussed include hybrid formulations, Schwarz, and many more.

Domain Decomposition Methods in Science and Engineering XXIV

Domain Decomposition Methods in Science and Engineering XXIV
Title Domain Decomposition Methods in Science and Engineering XXIV PDF eBook
Author Petter E. Bjørstad
Publisher Springer
Pages 556
Release 2019-01-05
Genre Mathematics
ISBN 3319938738

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These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017.

Domain Decomposition Methods in Science and Engineering XXVI

Domain Decomposition Methods in Science and Engineering XXVI
Title Domain Decomposition Methods in Science and Engineering XXVI PDF eBook
Author Susanne C. Brenner
Publisher Springer Nature
Pages 778
Release 2023-03-15
Genre Mathematics
ISBN 3030950255

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These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2020.

Domain Decomposition Methods in Science and Engineering XVI

Domain Decomposition Methods in Science and Engineering XVI
Title Domain Decomposition Methods in Science and Engineering XVI PDF eBook
Author Olof B. Widlund
Publisher Springer Science & Business Media
Pages 783
Release 2007-01-19
Genre Computers
ISBN 3540344683

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Domain decomposition is an active research area concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models of natural and engineered systems. The present volume sets forth new contributions in areas of numerical analysis, computer science, scientific and industrial applications, and software development.

Domain Decomposition Methods in Science and Engineering XVII

Domain Decomposition Methods in Science and Engineering XVII
Title Domain Decomposition Methods in Science and Engineering XVII PDF eBook
Author Ulrich Langer
Publisher Springer Science & Business Media
Pages 656
Release 2008-01-02
Genre Mathematics
ISBN 3540751998

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Domain decomposition is an active, interdisciplinary research field concerned with the development, analysis, and implementation of coupling and decoupling strategies in mathematical and computational models. This volume contains selected papers presented at the 17th International Conference on Domain Decomposition Methods in Science and Engineering. It presents the newest domain decomposition techniques and examines their use in the modeling and simulation of complex problems.