Robust Computational Techniques For Boundary Layers

Author : Paul Farrell,Alan Hegarty,John M. Miller,Eugene O'Riordan,Grigory I. Shishkin
Publisher : CRC Press
Page : 256 pages
File Size : 49,7 Mb
Release : 2000-03-30
Category : Computers
ISBN : 9781482285727

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Robust Computational Techniques for Boundary Layers by Paul Farrell,Alan Hegarty,John M. Miller,Eugene O'Riordan,Grigory I. Shishkin Pdf

Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They pres

Author : Paul Farrell,Alan Hegarty,John M. Miller,Eugene O'Riordan,Grigory I. Shishkin
Publisher : CRC Press
Page : 298 pages
File Size : 45,6 Mb
Release : 2000-03-30
Category : Science
ISBN : 1584881925

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Robust Computational Techniques for Boundary Layers by Paul Farrell,Alan Hegarty,John M. Miller,Eugene O'Riordan,Grigory I. Shishkin Pdf

Current standard numerical methods are of little use in solving mathematical problems involving boundary layers. In Robust Computational Techniques for Boundary Layers, the authors construct numerical methods for solving problems involving differential equations that have non-smooth solutions with singularities related to boundary layers. They present a new numerical technique that provides precise results in the boundary layer regions for the problems discussed in the book. They show that this technique can be adapted in a natural way to a real flow problem, and that it can be used to construct benchmark solutions for comparison with solutions found using other numerical techniques. Focusing on robustness, simplicity, and wide applicability rather than on optimality, Robust Computational Techniques for Boundary Layers provides readers with an understanding of the underlying principles and the essential components needed for the construction of numerical methods for boundary layer problems. It explains the fundamental ideas through physical insight, model problems, and computational experiments and gives details of the linear solvers used in the computations so that readers can implement the methods and reproduce the numerical results.

Author : Zhongyi Huang,Martin Stynes,Zhimin Zhang
Publisher : Springer
Page : 211 pages
File Size : 49,7 Mb
Release : 2017-10-26
Category : Mathematics
ISBN : 9783319672021

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Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2016 by Zhongyi Huang,Martin Stynes,Zhimin Zhang Pdf

This volume collects papers associated with lectures that were presented at the BAIL 2016 conference, which was held from 14 to 19 August 2016 at Beijing Computational Science Research Center and Tsinghua University in Beijing, China. It showcases the variety and quality of current research into numerical and asymptotic methods for theoretical and practical problems whose solutions involve layer phenomena. The BAIL (Boundary And Interior Layers) conferences, held usually in even-numbered years, bring together mathematicians and engineers/physicists whose research involves layer phenomena, with the aim of promoting interaction between these often-separate disciplines. These layers appear as solutions of singularly perturbed differential equations of various types, and are common in physical problems, most notably in fluid dynamics. This book is of interest for current researchers from mathematics, engineering and physics whose work involves the accurate app roximation of solutions of singularly perturbed differential equations; that is, problems whose solutions exhibit boundary and/or interior layers.

Author : Gabriel R. Barrenechea,John Mackenzie
Publisher : Springer Nature
Page : 254 pages
File Size : 53,6 Mb
Release : 2020-08-11
Category : Mathematics
ISBN : 9783030418007

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Boundary and Interior Layers, Computational and Asymptotic Methods BAIL 2018 by Gabriel R. Barrenechea,John Mackenzie Pdf

This volume gathers papers presented at the international conference BAIL, which was held at the University of Strathclyde, Scotland from the 14th to the 22nd of June 2018. The conference gathered specialists in the asymptotic and numerical analysis of problems which exhibit layers and interfaces. Covering a wide range of topics and sharing a wealth of insights, the papers in this volume provide an overview of the latest research into the theory and numerical approximation of problems involving boundary and interior layers.

Author : Petr Knobloch
Publisher : Springer
Page : 313 pages
File Size : 49,9 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9783319257273

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Boundary and Interior Layers, Computational and Asymptotic Methods - BAIL 2014 by Petr Knobloch Pdf

This volume offers contributions reflecting a selection of the lectures presented at the international conference BAIL 2014, which was held from 15th to 19th September 2014 at the Charles University in Prague, Czech Republic. These are devoted to the theoretical and/or numerical analysis of problems involving boundary and interior layers and methods for solving these problems numerically. The authors are both mathematicians (pure and applied) and engineers, and bring together a large number of interesting ideas. The wide variety of topics treated in the contributions provides an excellent overview of current research into the theory and numerical solution of problems involving boundary and interior layers.

Author : Zhenhan Yao,M. W. Yuan,Wanxie Zhong
Publisher : 清华大学出版社有限公司
Page : 712 pages
File Size : 50,9 Mb
Release : 2004
Category : Engineering design
ISBN : 7302093415

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Computational Mechanics by Zhenhan Yao,M. W. Yuan,Wanxie Zhong Pdf

Author : Osvaldo Gervasi,Vipin Kumar,C.J. Kenneth Tan,David Taniar,Antonio Laganà,Youngsong Mun,Hyunseung Choo
Publisher : Springer
Page : 1204 pages
File Size : 44,6 Mb
Release : 2006-05-11
Category : Computers
ISBN : 9783540340713

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Computational Science and Its Applications - ICCSA 2006 by Osvaldo Gervasi,Vipin Kumar,C.J. Kenneth Tan,David Taniar,Antonio Laganà,Youngsong Mun,Hyunseung Choo Pdf

The five-volume set LNCS 3980-3984 constitutes the refereed proceedings of the International Conference on Computational Science and Its Applications, ICCSA 2006. The volumes present a total of 664 papers organized according to the five major conference themes: computational methods, algorithms and applications high performance technical computing and networks advanced and emerging applications geometric modelling, graphics and visualization information systems and information technologies. This is Part I.

Author : V.S. Sunderam,G. Dick van Albada,Peter M.A. Sloot,Jack Dongarra
Publisher : Springer Science & Business Media
Page : 1201 pages
File Size : 55,6 Mb
Release : 2005-05-12
Category : Computers
ISBN : 9783540260448

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Computational Science - Iccs 2005 by V.S. Sunderam,G. Dick van Albada,Peter M.A. Sloot,Jack Dongarra Pdf

The three-volume set LNCS 3514-3516 constitutes the refereed proceedings of the 5th International Conference on Computational Science, ICCS 2005, held in Atlanta, GA, USA in May 2005.The 464 papers presented were carefully reviewed and selected from a total of 834 submissions for the main conference and its 21 topical workshops. The papers span the whole range of computational science, ranging from numerical methods, algorithms, and computational kernels to programming environments, grids, networking, and tools. These fundamental contributions dealing with computer science methodologies and techniques are complemented by papers discussing computational applications and needs in virtually all scientific disciplines applying advanced computational methods and tools to achieve new discoveries with greater accuracy and speed.

Author : Valarmathi Sigamani,John J. H. Miller,Shivaranjani Nagarajan,Parthiban Saminathan
Publisher : Springer Nature
Page : 218 pages
File Size : 48,7 Mb
Release : 2022-01-24
Category : Mathematics
ISBN : 9789811675461

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Differential Equations and Applications by Valarmathi Sigamani,John J. H. Miller,Shivaranjani Nagarajan,Parthiban Saminathan Pdf

This book collects select papers presented at the International Conference on Applications of Basic Sciences, held at Tiruchirappalli, Tamil Nadu, India, from 19-21 November 2019. The book discusses topics on singular perturbation problems, differential equations, numerical analysis, fuzzy logics, fuzzy differential equations, and mathematical physics, and their interdisciplinary applications in all areas of basic sciences: mathematics, physics, chemistry, and biology. It will be useful to researchers and scientists in all disciplines of basic sciences. This book will be very useful to know the different scientific approaches for a single physical system.

Author : Yves L. Robert,Manish Parashar,Ramamurthy Badrinath,Viktor K. Prasanna
Publisher : Springer
Page : 642 pages
File Size : 43,6 Mb
Release : 2006-12-18
Category : Computers
ISBN : 9783540680406

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High Performance Computing - HiPC 2006 by Yves L. Robert,Manish Parashar,Ramamurthy Badrinath,Viktor K. Prasanna Pdf

This book constitutes the refereed proceedings of the 13th International Conference on High-Performance Computing, HiPC 2006, held in Bangalore, India, December 2006. Coverage in this volume includes scheduling and load balancing, network and distributed algorithms, application software, network services, ad-hoc networks, systems software, sensor networks and performance evaluation, as well as routing and data management algorithms.

Author : T E Simos
Publisher : World Scientific
Page : 716 pages
File Size : 49,7 Mb
Release : 2003-08-26
Category : Mathematics
ISBN : 9789814485098

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Computational Methods in Sciences and Engineering 2003 by T E Simos Pdf

In the past few decades, many significant insights have been gained into several areas of computational methods in sciences and engineering. New problems and methodologies have appeared in some areas of sciences and engineering. There is always a need in these fields for the advancement of information exchange. The aim of this book is to facilitate the sharing of ideas, problems and methodologies between computational scientists and engineers in several disciplines. Extended abstracts of papers on the recent advances regarding computational methods in sciences and engineering are provided. The book briefly describes new methods in numerical analysis, computational mathematics, computational and theoretical physics, computational and theoretical chemistry, computational biology, computational mechanics, computational engineering, computational medicine, high performance computing, etc. Contents:Components for Time Series Receiver Clock Offset in GPS Solutions (P Abad)Some Numerical Methods for Stiff Problems (J C Butcher)Bifurcation Phenomena in Molecular Vibrational Spectroscopy (S C Farantos)Simulations of Spart in Random Fields (D T Hristopoulos)Electric Properties of Substituted Diacetylenes (P Karamanis & G Maroulis)Data Mining and Cryptology (E C Laskari et al.)A Finite Element Approach for the Dirac Radial Equation (L A A Nikolopoulos)Constraint Based Web Mining (I Petrounias et al.)Axisymmetric Rigid Bodies in Creeping Flow (J Roumeliotis)The Impact of Graphics Calculator on Mathematics Education in Asia (C-Y Suen)On the Systematic Construction of Molecular Basis Sets (S Wilson)and other papers Readership: Researchers and graduate students in any discipline involving scientific computation. Keywords:Numerical Analysis;Computational Mathematics;Computational and Theoretical Physics;Computational Chemistry;Computational Biology;Computational Mechanics;Computational Engineering, Computational Medicine;High Performance Computing

Author : Valarmathi Sigamani,John J. H. Miller,Ramanujam Narasimhan,Paramasivam Mathiazhagan,Franklin Victor
Publisher : Springer
Page : 165 pages
File Size : 53,7 Mb
Release : 2016-08-17
Category : Mathematics
ISBN : 9788132235989

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Differential Equations and Numerical Analysis by Valarmathi Sigamani,John J. H. Miller,Ramanujam Narasimhan,Paramasivam Mathiazhagan,Franklin Victor Pdf

This book offers an ideal introduction to singular perturbation problems, and a valuable guide for researchers in the field of differential equations. It also includes chapters on new contributions to both fields: differential equations and singular perturbation problems. Written by experts who are active researchers in the related fields, the book serves as a comprehensive source of information on the underlying ideas in the construction of numerical methods to address different classes of problems with solutions of different behaviors, which will ultimately help researchers to design and assess numerical methods for solving new problems. All the chapters presented in the volume are complemented by illustrations in the form of tables and graphs.

Author : Vladimir D. Liseikin
Publisher : Walter de Gruyter GmbH & Co KG
Page : 300 pages
File Size : 48,8 Mb
Release : 2018-11-05
Category : Mathematics
ISBN : 9783110941944

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Layer Resolving Grids and Transformations for Singular Perturbation Problems by Vladimir D. Liseikin Pdf

The approach of layer-damping coordinate transformations to treat singularly perturbed equations is a relatively new, and fast growing area in the field of applied mathematics. This monograph aims to present a clear, concise, and easily understandable description of the qualitative properties of solutions to singularly perturbed problems as well as of the essential elements, methods and codes of the technology adjusted to numerical solutions of equations with singularities by applying layer-damping coordinate transformations and corresponding layer-resolving grids. The first part of the book deals with an analytical study of estimates of the solutions and their derivatives in layers of singularities as well as suitable techniques for obtaining results. In the second part, a technique for building the coordinate transformations eliminating boundary and interior layers, is presented. Numerical algorithms based on the technique which is developed for generating layer-damping coordinate transformations and their corresponding layer-resolving meshes are presented in the final part of this volume. This book will be of value and interest to researchers in computational and applied mathematics.

Author : R. N. Mohapatra,S. Yugesh,G. Kalpana,C. Kalaivani
Publisher : Springer Nature
Page : 661 pages
File Size : 53,6 Mb
Release : 2021-05-05
Category : Mathematics
ISBN : 9789813346468

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Mathematical Analysis and Computing by R. N. Mohapatra,S. Yugesh,G. Kalpana,C. Kalaivani Pdf

This book is a collection of selected papers presented at the International Conference on Mathematical Analysis and Computing (ICMAC 2019) held at Sri Sivasubramaniya Nadar College of Engineering, Chennai, India, from 23–24 December 2019. Having found its applications in game theory, economics, and operations research, mathematical analysis plays an important role in analyzing models of physical systems and provides a sound logical base for problems stated in a qualitative manner. This book aims at disseminating recent advances in areas of mathematical analysis, soft computing, approximation and optimization through original research articles and expository survey papers. This book will be of value to research scholars, professors, and industrialists working in these areas.

Author : Hemen Dutta,James F. Peters
Publisher : Springer
Page : 810 pages
File Size : 51,7 Mb
Release : 2019-02-21
Category : Technology & Engineering
ISBN : 9783319999180

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Applied Mathematical Analysis: Theory, Methods, and Applications by Hemen Dutta,James F. Peters Pdf

This book addresses key aspects of recent developments in applied mathematical analysis and its use. It also highlights a broad range of applications from science, engineering, technology and social perspectives. Each chapter investigates selected research problems and presents a balanced mix of theory, methods and applications for the chosen topics. Special emphasis is placed on presenting basic developments in applied mathematical analysis, and on highlighting the latest advances in this research area. The book is presented in a self-contained manner as far as possible, and includes sufficient references to allow the interested reader to pursue further research in this still-developing field. The primary audience for this book includes graduate students, researchers and educators; however, it will also be useful for general readers with an interest in recent developments in applied mathematical analysis and applications.