Multiple Shooting and Time Domain Decomposition Methods
Multiple Shooting and Time Domain Decomposition Methods

Author: Thomas Carraro

Publisher: Springer

Published: 2015-10-26

Total Pages: 424

ISBN-13: 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

Author: Chang-Ock Lee

Publisher: Springer

Published: 2017-03-15

Total Pages: 419

ISBN-13: 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

Author: Tarek Mathew

Publisher: Springer Science & Business Media

Published: 2008-06-25

Total Pages: 775

ISBN-13: 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

Author: Petter E. Bjørstad

Publisher: Springer

Published: 2019-01-05

Total Pages: 556

ISBN-13: 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

Author: Susanne C. Brenner

Publisher: Springer Nature

Published: 2023-03-15

Total Pages: 778

ISBN-13: 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

Author: Olof B. Widlund

Publisher: Springer Science & Business Media

Published: 2007-01-19

Total Pages: 783

ISBN-13: 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

Author: Ulrich Langer

Publisher: Springer Science & Business Media

Published: 2008-01-02

Total Pages: 656

ISBN-13: 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.

Time Parallel Time Integration
Time Parallel Time Integration

Author: Martin J. Gander

Publisher: SIAM

Published: 2024-10-15

Total Pages: 273

ISBN-13: 1611978025

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Predicting the future is a difficult task but, as with the weather, it is possible with good models. But how does one predict the far future before the near future is known? Time parallel time integration, also known as PinT (Parallel-in-Time) methods, aims to predict the near and far future simultaneously. In this self-contained book, the first on the topic, readers will find a comprehensive and up-to-date description of methods and techniques that have been developed to do just this. The authors describe the four main classes of PinT methods: shooting-type methods, waveform relaxation methods, time parallel multigrid methods, and direct time parallel methods. In addition, they provide historical background for each of the method classes, complete convergence analyses for the most representative variants of the methods in each class, and illustrations and runnable MATLAB code. An ideal introduction to this exciting and very active research field, Time Parallel Time Integration can be used for independent study or for a graduate course.

Mathematical Analysis and Simulation of Field Models in Accelerator Circuits
Mathematical Analysis and Simulation of Field Models in Accelerator Circuits

Author: Idoia Cortes Garcia

Publisher: Springer Nature

Published: 2021-01-04

Total Pages: 171

ISBN-13: 3030632733

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This book deals with the analysis and development of numerical methods for the time-domain analysis of multiphysical effects in superconducting circuits of particle accelerator magnets. An important challenge is the simulation of “quenching”, i.e. the transition of a material from the superconducting to the normally electrically conductive state. The book analyses complex mathematical structures and presents models to simulate such quenching events in the context of generalized circuit elements. Furthermore, it proposes efficient parallelized algorithms with guaranteed convergence properties for the simulation of multiphysical problems. Spanning from theoretical concepts to applied research, and featuring rigorous mathematical presentations on one side, as well as simplified explanations of many complex issues, on the other side, this book provides graduate students and researchers with a comprehensive introduction on the state of the art and a source of inspiration for future research. Moreover, the proposed concepts and methods can be extended to the simulation of multiphysical phenomena in different application contexts.

Proceedings of the Sixth International Conference on Mathematics and Computing
Proceedings of the Sixth International Conference on Mathematics and Computing

Author: Debasis Giri

Publisher: Springer Nature

Published: 2020-12-10

Total Pages: 567

ISBN-13: 9811580618

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This book features selected papers from the 6th International Conference on Mathematics and Computing (ICMC 2020), organized by Sikkim University, Gangtok, Sikkim, India, during September 2020. It covers recent advances in the field of mathematics, statistics, and scientific computing. The book presents innovative work by leading academics, researchers, and experts from industry.