Multiple Shooting And Time Domain Decomposition Methods PDF Download
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| Author | : Thomas Carraro |
| Publisher | : Springer |
| Total Pages | : 424 |
| Release | : 2015-10-26 |
| Genre | : Mathematics |
| ISBN | : 3319233211 |
Download Multiple Shooting and Time Domain Decomposition Methods Book in PDF, ePub and Kindle
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.
| Author | : Susanne C. Brenner |
| Publisher | : Springer Nature |
| Total Pages | : 778 |
| Release | : 2023-03-15 |
| Genre | : Mathematics |
| ISBN | : 3030950255 |
Download Domain Decomposition Methods in Science and Engineering XXVI Book in PDF, ePub and Kindle
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.
| Author | : Ralf Kornhuber |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 686 |
| Release | : 2006-03-30 |
| Genre | : Mathematics |
| ISBN | : 3540268251 |
Download Domain Decomposition Methods in Science and Engineering Book in PDF, ePub and Kindle
Domain decomposition is an active, interdisciplinary research area that is devoted to the development, analysis and implementation of coupling and decoupling strategies in mathematics, computational science, engineering and industry. A series of international conferences starting in 1987 set the stage for the presentation of many meanwhile classical results on substructuring, block iterative methods, parallel and distributed high performance computing etc. This volume contains a selection from the papers presented at the 15th International Domain Decomposition Conference held in Berlin, Germany, July 17-25, 2003 by the world's leading experts in the field. Its special focus has been on numerical analysis, computational issues,complex heterogeneous problems, industrial problems, and software development.
| Author | : Olof B. Widlund |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 783 |
| Release | : 2007-01-19 |
| Genre | : Computers |
| ISBN | : 3540344683 |
Download Domain Decomposition Methods in Science and Engineering XVI Book in PDF, ePub and Kindle
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.
| Author | : Chang-Ock Lee |
| Publisher | : Springer |
| Total Pages | : 419 |
| Release | : 2017-03-15 |
| Genre | : Computers |
| ISBN | : 3319523899 |
Download Domain Decomposition Methods in Science and Engineering XXIII Book in PDF, ePub and Kindle
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.
| Author | : Tarek Mathew |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 775 |
| Release | : 2008-06-25 |
| Genre | : Mathematics |
| ISBN | : 354077209X |
Download Domain Decomposition Methods for the Numerical Solution of Partial Differential Equations Book in PDF, ePub and Kindle
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.
| Author | : Petter E. Bjørstad |
| Publisher | : Springer |
| Total Pages | : 570 |
| Release | : 2019-01-05 |
| Genre | : Mathematics |
| ISBN | : 3319938738 |
Download Domain Decomposition Methods in Science and Engineering XXIV Book in PDF, ePub and Kindle
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.
| Author | : Ronald Haynes |
| Publisher | : Springer Nature |
| Total Pages | : 508 |
| Release | : 2020-10-24 |
| Genre | : Mathematics |
| ISBN | : 3030567508 |
Download Domain Decomposition Methods in Science and Engineering XXV Book in PDF, ePub and Kindle
These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018. 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 2018.
| Author | : Jocelyne Erhel |
| Publisher | : Springer |
| Total Pages | : 931 |
| Release | : 2014-10-10 |
| Genre | : Mathematics |
| ISBN | : 3319057898 |
Download Domain Decomposition Methods in Science and Engineering XXI Book in PDF, ePub and Kindle
This volume contains a selection of papers presented at the 21st international conference on domain decomposition methods in science and engineering held in Rennes, France, June 25-29, 2012. Domain decomposition is an active and interdisciplinary research discipline, focusing on the development, analysis and implementation of numerical methods for massively parallel computers. Domain decomposition methods are among the most efficient solvers for large scale applications in science and engineering. They are based on a solid theoretical foundation and shown to be scalable for many important applications. Domain decomposition techniques can also naturally take into account multiscale phenomena. This book contains the most recent results in this important field of research, both mathematically and algorithmically and allows the reader to get an overview of this exciting branch of numerical analysis and scientific computing.
| Author | : Victorita Dolean |
| Publisher | : SIAM |
| Total Pages | : 242 |
| Release | : 2015-12-08 |
| Genre | : Science |
| ISBN | : 1611974062 |
Download An Introduction to Domain Decomposition Methods Book in PDF, ePub and Kindle
The purpose of this book is to offer an overview of the most popular domain decomposition methods for partial differential equations (PDEs). These methods are widely used for numerical simulations in solid mechanics, electromagnetism, flow in porous media, etc., on parallel machines from tens to hundreds of thousands of cores. The appealing feature of domain decomposition methods is that, contrary to direct methods, they are naturally parallel. The authors focus on parallel linear solvers. The authors present all popular algorithms, both at the PDE level and at the discrete level in terms of matrices, along with systematic scripts for sequential implementation in a free open-source finite element package as well as some parallel scripts. Also included is a new coarse space construction (two-level method) that adapts to highly heterogeneous problems.
