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Multirate Time Integration Methods For Efficient Time Domain Simulation Of Large Scale Systems And Differential Algebraic Equations
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Book Synopsis Multirate Time Integration Methods for Efficient Time Domain Simulation of Large-Scale Systems and Differential-Algebraic Equations by : Christoph Johannes Hachtel
Download or read book Multirate Time Integration Methods for Efficient Time Domain Simulation of Large-Scale Systems and Differential-Algebraic Equations written by Christoph Johannes Hachtel and published by . This book was released on 2022 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Transient Analysis of Power Systems by : Juan A. Martinez-Velasco
Download or read book Transient Analysis of Power Systems written by Juan A. Martinez-Velasco and published by John Wiley & Sons. This book was released on 2015-01-27 with total page 661 pages. Available in PDF, EPUB and Kindle. Book excerpt: The simulation of electromagnetic transients is a mature field that plays an important role in the design of modern power systems. Since the first steps in this field to date, a significant effort has been dedicated to the development of new techniques and more powerful software tools. Sophisticated models, complex solution techniques and powerful simulation tools have been developed to perform studies that are of supreme importance in the design of modern power systems. The first developments of transients tools were mostly aimed at calculating over-voltages. Presently, these tools are applied to a myriad of studies (e.g. FACTS and Custom Power applications, protective relay performance, simulation of smart grids) for which detailed models and fast solution methods can be of paramount importance. This book provides a basic understanding of the main aspects to be considered when performing electromagnetic transients studies, detailing the main applications of present electromagnetic transients (EMT) tools, and discusses new developments for enhanced simulation capability. Key features: Provides up-to-date information on solution techniques and software capabilities for simulation of electromagnetic transients. Covers key aspects that can expand the capabilities of a transient software tool (e.g. interfacing techniques) or speed up transients simulation (e.g. dynamic model averaging). Applies EMT-type tools to a wide spectrum of studies that range from fast electromagnetic transients to slow electromechanical transients, including power electronic applications, distributed energy resources and protection systems. Illustrates the application of EMT tools to the analysis and simulation of smart grids.
Book Synopsis Multiple Shooting and Time Domain Decomposition Methods by : Thomas Carraro
Download or read book Multiple Shooting and Time Domain Decomposition Methods written by Thomas Carraro and published by Springer. This book was released on 2015-10-26 with total page 424 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Parallel-in-Time Integration Methods by : Benjamin Ong
Download or read book Parallel-in-Time Integration Methods written by Benjamin Ong and published by Springer Nature. This book was released on 2021-08-24 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes contributions from the 9th Parallel-in-Time (PinT) workshop, an annual gathering devoted to the field of time-parallel methods, aiming to adapt existing computer models to next-generation machines by adding a new dimension of scalability. As the latest supercomputers advance in microprocessing ability, they require new mathematical algorithms in order to fully realize their potential for complex systems. The use of parallel-in-time methods will provide dramatically faster simulations in many important areas, including biomedical (e.g., heart modeling), computational fluid dynamics (e.g., aerodynamics and weather prediction), and machine learning applications. Computational and applied mathematics is crucial to this progress, as it requires advanced methodologies from the theory of partial differential equations in a functional analytic setting, numerical discretization and integration, convergence analyses of iterative methods, and the development and implementation of new parallel algorithms. Therefore, the workshop seeks to bring together an interdisciplinary group of experts across these fields to disseminate cutting-edge research and facilitate discussions on parallel time integration methods.
Download or read book Proceedings written by and published by . This book was released on 1997 with total page 828 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences--2005 by :
Download or read book Proceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conferences--2005 written by and published by . This book was released on 2005 with total page 744 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Third Conference on Hypercube Concurrent Computers and Applications: Applications by : Geoffrey C. Fox
Download or read book The Third Conference on Hypercube Concurrent Computers and Applications: Applications written by Geoffrey C. Fox and published by . This book was released on 1988 with total page 912 pages. Available in PDF, EPUB and Kindle. Book excerpt: Proceedings -- Parallel Computing.
Book Synopsis Differential-Algebraic Equations: A Projector Based Analysis by : René Lamour
Download or read book Differential-Algebraic Equations: A Projector Based Analysis written by René Lamour and published by Springer Science & Business Media. This book was released on 2013-01-19 with total page 667 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential algebraic equations (DAEs), including so-called descriptor systems, began to attract significant research interest in applied and numerical mathematics in the early 1980s, no more than about three decades ago. In this relatively short time, DAEs have become a widely acknowledged tool to model processes subjected to constraints, in order to simulate and to control processes in various application fields such as network simulation, chemical kinematics, mechanical engineering, system biology. DAEs and their more abstract versions in infinite-dimensional spaces comprise a great potential for future mathematical modeling of complex coupled processes. The purpose of the book is to expose the impressive complexity of general DAEs from an analytical point of view, to describe the state of the art as well as open problems and so to motivate further research to this versatile, extra-ordinary topic from a broader mathematical perspective. The book elaborates a new general structural analysis capturing linear and nonlinear DAEs in a hierarchical way. The DAE structure is exposed by means of special projector functions. Numerical integration issues and computational aspects are treated also in this context.
Book Synopsis Multirate Integration of Two-time-scale Dynamic Systems by : William North Keepin
Download or read book Multirate Integration of Two-time-scale Dynamic Systems written by William North Keepin and published by . This book was released on 1980 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Automatic Multirate Methods for Ordinary Differential Equations. [Adaptive Time Steps]. by :
Download or read book Automatic Multirate Methods for Ordinary Differential Equations. [Adaptive Time Steps]. written by and published by . This book was released on 1980 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A study is made of the application of integration methods in which different step sizes are used for different members of a system of equations. Such methods can result in savings if the cost of derivative evaluation is high or if a system is sparse; however, the estimation and control of errors is very difficult and can lead to high overheads. Three approaches are discussed, and it is shown that the least intuitive is the most promising. 2 figures.
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1983 with total page 1252 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Numerical Integration by : Ernst Hairer
Download or read book Geometric Numerical Integration written by Ernst Hairer and published by Springer Science & Business Media. This book was released on 2002 with total page 534 pages. Available in PDF, EPUB and Kindle. Book excerpt: Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which include Runge-Kutta, composition, splitting, multistep and various specially designed integrators, is presented and their construction and practical merits are discussed. The long-time behaviour of the numerical solutions is studied using a backward error analysis (modified equations) combined with KAM theory. The book is illustrated by many figures, it treats applications from physics and astronomy and contains many numerical experiments and comparisons of different approaches.
Book Synopsis Multirate Integration Methods. The Numerical Solution of Stiff Systems of Ordinary Differential Equations by Multirate Integration Methods by : S. Skelboe
Download or read book Multirate Integration Methods. The Numerical Solution of Stiff Systems of Ordinary Differential Equations by Multirate Integration Methods written by S. Skelboe and published by . This book was released on 1984 with total page 64 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Space-Time Methods by : Ulrich Langer
Download or read book Space-Time Methods written by Ulrich Langer and published by Walter de Gruyter GmbH & Co KG. This book was released on 2019-09-23 with total page 261 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume provides an introduction to modern space-time discretization methods such as finite and boundary elements and isogeometric analysis for time-dependent initial-boundary value problems of parabolic and hyperbolic type. Particular focus is given on stable formulations, error estimates, adaptivity in space and time, efficient solution algorithms, parallelization of the solution pipeline, and applications in science and engineering.
Download or read book Mathematical Reviews written by and published by . This book was released on 2005 with total page 1852 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Numerical Solution of Initial-value Problems in Differential-algebraic Equations by : K. E. Brenan
Download or read book Numerical Solution of Initial-value Problems in Differential-algebraic Equations written by K. E. Brenan and published by SIAM. This book was released on 1996-01-01 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many physical problems are most naturally described by systems of differential and algebraic equations. This book describes some of the places where differential-algebraic equations (DAE's) occur. The basic mathematical theory for these equations is developed and numerical methods are presented and analyzed. Examples drawn from a variety of applications are used to motivate and illustrate the concepts and techniques. This classic edition, originally published in 1989, is the only general DAE book available. It not only develops guidelines for choosing different numerical methods, it is the first book to discuss DAE codes, including the popular DASSL code. An extensive discussion of backward differentiation formulas details why they have emerged as the most popular and best understood class of linear multistep methods for general DAE's. New to this edition is a chapter that brings the discussion of DAE software up to date. The objective of this monograph is to advance and consolidate the existing research results for the numerical solution of DAE's. The authors present results on the analysis of numerical methods, and also show how these results are relevant for the solution of problems from applications. They develop guidelines for problem formulation and effective use of the available mathematical software and provide extensive references for further study.
Book Synopsis Study on Efficient Numerical Time-integration Methods for Simulation of Multi-body Systems by : Peter Dieleman (NLR.)
Download or read book Study on Efficient Numerical Time-integration Methods for Simulation of Multi-body Systems written by Peter Dieleman (NLR.) and published by . This book was released on 1991 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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