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Book Numerical Conformal Mapping Using Cross ratios and Delaunay Triangulation

Download or read book Numerical Conformal Mapping Using Cross ratios and Delaunay Triangulation written by Tobin A. Driscoll and published by . This book was released on 1996 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: Abstract: "We propose a new algorithm for computing the Riemann mapping of the unit disk to a polygon, also known as the Schwarz-Christoffel transformation. The new algorithm, CRDT, is based on cross-ratios of the prevertices, and also on cross-ratios of quadrilaterals in a Delaunay triangulation of the polygon. The CRDT algorithm produces an accurate representation of the Riemann mapping even in the presence of arbitrary long, thin regions in the polygon, unlike any previous conformal mapping algorithm. We believe that CRDT can never fail to converge to the correct Riemann mapping, but the correctness and convergence proof depend on conjectures that we have so far not been able to prove. We demonstrate convergence with computational experiments. The Riemann mapping has applications to problems in two-dimensional potential theory and to finite-difference mesh generation. We use CRDT to produce a mapping and solve a boundary value problem on long, thin regions for which no other algorithm can solve these problems."

Book Numerical Conformal Mapping

Download or read book Numerical Conformal Mapping written by Nicolas Papamichael and published by World Scientific. This book was released on 2010 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique monograph on numerical conformal mapping that gives a comprehensive account of the theoretical, computational and application aspects of the problems of determining conformal modules of quadrilaterals and of mapping conformally onto a rectangle. It contains a detailed study of the theory and application of a domain decomposition method for computing the modules and associated conformal mappings of elongated quadrilaterals, of the type that occur in engineering applications. The reader will find a highly useful and up-to-date survey of available numerical methods and associated computer software for conformal mapping. The book also highlights the crucial role that function theory plays in the development of numerical conformal mapping methods, and illustrates the theoretical insight that can be gained from the results of numerical experiments. This is a valuable resource for mathematicians, who are interested in numerical conformal mapping and wish to study some of the recent developments in the subject, and for engineers and scientists who use, or would like to use, conformal transformations and wish to find out more about the capabilities of modern numerical conformal mapping.

Book Schwarz Christoffel Mapping

Download or read book Schwarz Christoffel Mapping written by Tobin A. Driscoll and published by Cambridge University Press. This book was released on 2002-06-20 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a comprehensive look at the Schwarz-Christoffel transformation, including its history and foundations, practical computation, common and less common variations, and many applications in fields such as electromagnetism, fluid flow, design and inverse problems, and the solution of linear systems of equations. It is an accessible resource for engineers, scientists, and applied mathematicians who seek more experience with theoretical or computational conformal mapping techniques. The most important theoretical results are stated and proved, but the emphasis throughout remains on concrete understanding and implementation, as evidenced by the 76 figures based on quantitatively correct illustrative examples. There are over 150 classical and modern reference works cited for readers needing more details. There is also a brief appendix illustrating the use of the Schwarz-Christoffel Toolbox for MATLAB, a package for computation of these maps.

Book Numerical Conformal Mapping

Download or read book Numerical Conformal Mapping written by Nicolas Papamichael and published by World Scientific. This book was released on 2010 with total page 242 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unique monograph on numerical conformal mapping that gives a comprehensive account of the theoretical, computational and application aspects of the problems of determining conformal modules of quadrilaterals and of mapping conformally onto a rectangle. It contains a detailed study of the theory and application of a domain decomposition method for computing the modules and associated conformal mappings of elongated quadrilaterals, of the type that occur in engineering applications. The reader will find a highly useful and up-to-date survey of available numerical methods and associated computer software for conformal mapping. The book also highlights the crucial role that function theory plays in the development of numerical conformal mapping methods, and illustrates the theoretical insight that can be gained from the results of numerical experiments.This is a valuable resource for mathematicians, who are interested in numerical conformal mapping and wish to study some of the recent developments in the subject, and for engineers and scientists who use, or would like to use, conformal transformations and wish to find out more about the capabilities of modern numerical conformal mapping.

Book Handbook of Conformal Mappings and Applications

Download or read book Handbook of Conformal Mappings and Applications written by Prem K. Kythe and published by CRC Press. This book was released on 2019-03-04 with total page 663 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of conformal mappings is a major part of geometric function theory that gained prominence after the publication of the Riemann mapping theorem — for every simply connected domain of the extended complex plane there is a univalent and meromorphic function that maps such a domain conformally onto the unit disk. The Handbook of Conformal Mappings and Applications is a compendium of at least all known conformal maps to date, with diagrams and description, and all possible applications in different scientific disciplines, such as: fluid flows, heat transfer, acoustics, electromagnetic fields as static fields in electricity and magnetism, various mathematical models and methods, including solutions of certain integral equations.

Book Combinatorial and Computational Geometry

Download or read book Combinatorial and Computational Geometry written by Jacob E. Goodman and published by Cambridge University Press. This book was released on 2005-08-08 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 2005 book deals with interest topics in Discrete and Algorithmic aspects of Geometry.

Book Algorithms and Data Structures

Download or read book Algorithms and Data Structures written by Frank Dehne and published by Springer. This book was released on 2003-05-15 with total page 496 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 7th International Workshop on Algorithms and Data Structures, WADS 2001, held in Providence, RI, USA in August 2001. The 40 revised full papers presented were carefully reviewed and selected from a total of 89 submissions. Among the topics addressed are multiobjective optimization, computational graph theory, approximation, optimization, combinatorics, scheduling, Varanoi diagrams, packings, multi-party computation, polygons, searching, etc.

Book SIAM Journal on Scientific Computing

Download or read book SIAM Journal on Scientific Computing written by and published by . This book was released on 2009 with total page 1138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Book Fifth International Congress of Chinese Mathematicians

Download or read book Fifth International Congress of Chinese Mathematicians written by Lizhen Ji and published by American Mathematical Soc.. This book was released on 2012 with total page 522 pages. Available in PDF, EPUB and Kindle. Book excerpt: This two-part volume represents the proceedings of the Fifth International Congress of Chinese Mathematicians, held at Tsinghua University, Beijing, in December 2010. The Congress brought together eminent Chinese and overseas mathematicians to discuss the latest developments in pure and applied mathematics. Included are 60 papers based on lectures given at the conference.

Book Graph Drawing and Network Visualization

Download or read book Graph Drawing and Network Visualization written by David Auber and published by Springer Nature. This book was released on 2021-02-13 with total page 546 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 28th International Symposium on Graph Drawing and Network Visualization, GD 2020, which was held during September 16-18, 2020. The conference was planned to take place in Vancouver, Canada, but changed to an online format due to the COVID-19 pandemic. The 29 full and 9 short papers presented in this volume were carefully reviewed and selected from 82 submissions. They were organized in topical sections named: gradient descent and queue layouts; drawing tree-like graphs, visualization, and special drawings of elementary graphs; restricted drawings of special graph classes; orthogonality; topological constraints; crossings, k-planar graphs; planarity; graphs drawing contest.

Book Air Pollution Modeling and Its Application XIII

Download or read book Air Pollution Modeling and Its Application XIII written by Sven-Erik Gryning and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 779 pages. Available in PDF, EPUB and Kindle. Book excerpt: The ITM conference series has always had a strong spirit of cooperation under the NATO/CCMS umbrella, and with the considerable interest fram Partner countries to participate in the ITM conferences, it provides an excellent opportunity to create ties between scientists. Whereas all previous ITM conferences have taken place in NATO countries, the 23rd ITM takes place in a Cooperative Partner country, Bulgaria, and is hosted by the National Institute of Meteorology and Hydrology, Bulgarian Academy of Sciences. This fact reflects a general wish for a closer connection and collaboration among scientists fram Partner and NATO countries. This volume contains the papers from the 23rd NATO/CCMS International Technical Meetings on Air Pollution Modelling and Its Application, being held September 28 - October 2, 1998, at Riviera Holiday Club, Varna, Bulgaria. It was attended by 120 participants from 30 countries. Thanks are due to all who made it possible to plan, carry through, and follow up the meeting, and to the participants who made the conference so successful. Special thanks are due to the sponsoring institutions: ATO/CCMS EURASAP RIS0 BAS 3M NATO/CCMS - Committee on the Challenges of Modem Society EURASAP - European Association for the Science of Air Pollution RIS0 - Ris0 National Laboratory, Denmark NIMH - National Institute of Meteorology and Hydralogy, Bulgaria BAS - Bulgarian Academy of Sciences 3M Representation office, Bulgaria Prestige Business Ltd. , Bulgaria The excellent collaboration with CIM (Company for International Meetings Ltd.

Book Quasiconformal Mappings and Their Applications

Download or read book Quasiconformal Mappings and Their Applications written by Saminathan Ponnusamy and published by . This book was released on 2007 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Quasiconformal Mappings and their Applications covers conformal invariance and conformally invariant metrics, hyperbolic-type metrics and hyperbolic geodesics, isometries of relative metrics, uniform spaces and Gromov hyperbolicity, quasiregular mappings and quasiconformal mappings in n-space, universal Teichmuller space and related topics, quasiminimizers and potential theory, and numerical conformal mapping and circle packings."--BOOK JACKET.

Book Computational Methods for the Innovative Design of Electrical Devices

Download or read book Computational Methods for the Innovative Design of Electrical Devices written by Slawomir Wiak and published by Springer Science & Business Media. This book was released on 2010-10-29 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computational Methods for the Innovative Design of Electrical Devices is entirely focused on the optimal design of various classes of electrical devices. Emerging new methods, like e.g. those based on genetic algorithms, are presented and applied in the design optimization of different devices and systems. Accordingly, the solution to field analysis problems is based on the use of finite element method, and analytical methods as well. An original aspect of the book is the broad spectrum of applications in the area of electrical engineering, especially electrical machines. This way, traditional design criteria of conventional devices are revisited in a critical way, and some innovative solutions are suggested. In particular, the optimization procedures developed are oriented to three main aspects: shape design, material properties identification, machine optimal behaviour. Topics covered include: • New parallel finite-element solvers • Response surface method • Evolutionary computing • Multiobjective optimization • Swarm intelligence • MEMS applications • Identification of magnetic properties of anisotropic laminations • Neural networks for non-destructive testing • Brushless DC motors, transformers • Permanent magnet disc motors, magnetic separators • Magnetic levitation systems

Book Electromagnetic Fields in Electrical Engineering

Download or read book Electromagnetic Fields in Electrical Engineering written by Andrzej Krawczyk and published by IOS Press. This book was released on 2002 with total page 588 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume includes contributions on: field theory and advanced computational electromagnetics; electrical machines and transformers; optimization and interactive design; electromagnetics in materials; coupled field and electromagnetic components in mechatronics; induction heating systems; bioelectromagnetics; and electromagnetics in education.

Book Typhoon Impact and Crisis Management

Download or read book Typhoon Impact and Crisis Management written by Dan Ling Tang and published by Springer Science & Business Media. This book was released on 2014-01-08 with total page 584 pages. Available in PDF, EPUB and Kindle. Book excerpt: Major natural hazards have sparked growing public concern worldwide. This book provides new information on Typhoon Impact and Crisis Management using satellite remote sensing technology, linking the natural sciences and social sciences in typhoon studies. It examines remote sensing observations of typhoons (hurricanes), typhoon impacts on the environment, typhoon impacts on marine ecosystems, typhoon impacts and global changes, typhoon (hurricane) impacts on economics, and crisis management for typhoon (hurricane) disasters.

Book Energy Efficiency in Motor Systems

Download or read book Energy Efficiency in Motor Systems written by Paolo Bertoldi and published by Springer Nature. This book was released on 2021-09-24 with total page 748 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains selected, peer-reviewed papers presented at the 11th International Conference on Energy Efficiency in Motor Systems (EEMODS'19), held in Tokyo, Japan from 17-19 September 2019. As with previous conferences in this series, EEMODS’19 provided a scientific forum to discuss and debate the latest developments and impacts of electrical motor systems on energy and the environment, energy efficiency policies and programmes adopted and planned, standards (including ISO 50.001), and the technical and commercial advances made in the dissemination and penetration of energy-efficient motor systems. Topics covered include: technologies, research and innovation in the areas of electric motors from life cycle costing to 3D printing to artificial intelligence/machine learning-based monitoring systems; emerging motor technologies; power electronics and drives; pump systems, including life cycle costing, energy efficiency improvements, maintenance, and operation for industrial, water supply and treatment, building, and irrigation; compressed air systems; fans /exhaust systems; refrigeration systems maintenance and operation; mechanical power transmission; motors in household appliances and HVAC (residential and commercial); motors and drives for transport applications including policies, programmes, regulation, and international standards; industrial management policies and standards; motor system audit and verification; policies, programmes and financing: analysis of motor system energy use and greenhouse gas emissions for motor systems, e-vehicles and related charging infrastructure; harmonization of global motor efficiency test standards; evaluation of utility programmes for improving energy efficiency in motor systems; and policy implementation, market surveillance and enforcement mechanisms, including case studies. The conference is international by nature and aims to attract high quality and innovative contributions from all corners of the globe, while the papers facilitate the development of new technologies, policies and strategies to increase energy efficiency.