Excel In Complex Variables With The Complex Variable Boundary Element Method

Author : B. D. Wilkins,T. V. Hromadka II
Publisher : WIT Press
Page : 290 pages
File Size : 42,8 Mb
Release : 2021-09-22
Category : Mathematics
ISBN : 9781784664510

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Excel in Complex Variables with the Complex Variable Boundary Element Method by B. D. Wilkins,T. V. Hromadka II Pdf

Using the familiar software Microsoft ® Excel, this book examines the applications of complex variables. Implementation of the included problems in Excel eliminates the “black box” nature of more advanced computer software and programming languages and therefore the reader has the chance to become more familiar with the underlying mathematics of the complex variable problems. This book consists of two parts. In Part I, several topics are covered that one would expect to find in an introductory text on complex variables. These topics include an overview of complex numbers, functions of a complex variable, and the Cauchy integral formula. In particular, attention is given to the study of analytic complex variable functions. This attention is warranted because of the property that the real and imaginary parts of an analytic complex variable function can be used to solve the Laplace partial differential equation (PDE). Laplace's equation is ubiquitous throughout science and engineering as it can be used to model the steady-state conditions of several important transport processes including heat transfer, soil-water flow, electrostatics, and ideal fluid flow, among others. In Part II, a specialty application of complex variables known as the Complex Variable Boundary Element Method (CVBEM) is examined. CVBEM is a numerical method used for solving boundary value problems governed by Laplace's equation. This part contains a detailed description of the CVBEM and a guide through each step of constructing two CVBEM programs in Excel. The writing of these programs is the culminating event of the book. Students of complex variables and anyone with an interest in a novel method for approximating potential functions using the principles of complex variables are the intended audience for this book. The Microsoft Excel applications (including simple programs as well as the CVBEM program) covered will also be of interest in the industry, as these programs are accessible to anybody with Microsoft Office.

Author : A. H.-D. Cheng
Publisher : WIT Press
Page : 174 pages
File Size : 52,7 Mb
Release : 2021-08-31
Category : Mathematics
ISBN : 9781784664312

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Boundary Elements and other Mesh Reduction Methods XLIV by A. H.-D. Cheng Pdf

The maturity of BEM over the last few decades has resulted in a substantial number of industrial applications of the method; this demonstrates its accuracy, robustness and ease of use. The range of applications still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. Theoretical developments and new formulations have been reported over the last few decades, helping to expand the range of boundary elements and other mesh reduction methods (BEM/MRM) applications as well as the type of modelled materials in response to the requirements of contemporary industrial and professional environments. As design, analysis and manufacture become more integrated, the chances are that software users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily within the aforementioned integrated process. The papers included were presented at the 44th International Conference on Boundary Elements and other Mesh Reduction Methods and report advances in techniques that reduce or eliminate the type of meshes associated with finite elements or finite differences.

Author : A. H.-D. Cheng
Publisher : WIT Press
Page : 186 pages
File Size : 49,7 Mb
Release : 2022-07-25
Category : Mathematics
ISBN : 9781784664596

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Boundary Elements and other Mesh Reduction Methods XLV by A. H.-D. Cheng Pdf

Advances in techniques that reduce or eliminate the type of meshes associated with finite elements or finite differences are reported in the papers that form this volume. As design, analysis and manufacture become more integrated, the chances are that software users will be less aware of the capabilities of the analytical techniques that are at the core of the process. This reinforces the need to retain expertise in certain specialised areas of numerical methods, such as BEM/MRM, to ensure that all new tools perform satisfactorily within the aforementioned integrated process. The maturity of BEM since 1978 has resulted in a substantial number of industrial applications of the method; this demonstrates its accuracy, robustness and ease of use. The range of applications still needs to be widened, taking into account the potentialities of the Mesh Reduction techniques in general. The included papers originate from the 45th conference on Boundary Elements and other Mesh Reduction Methods (BEM/MRM) and describe theoretical developments and new formulations, helping to expand the range of applications as well as the type of modelled materials in response to the requirements of contemporary industrial and professional environments.

Author : Li Chengxiang,Yang Ling
Publisher : Elsevier
Page : 1001 pages
File Size : 48,6 Mb
Release : 2013-10-22
Category : Technology & Engineering
ISBN : 9781483160160

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Proceedings of the International Symposium on Engineering in Complex Rock Formations by Li Chengxiang,Yang Ling Pdf

Proceedings of the International Symposium on Engineering in Complex Rock Formations

Author : Lothar Gaul,Martin Kögl,Marcus Wagner
Publisher : Springer Science & Business Media
Page : 491 pages
File Size : 52,9 Mb
Release : 2013-06-29
Category : Technology & Engineering
ISBN : 9783662051368

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Boundary Element Methods for Engineers and Scientists by Lothar Gaul,Martin Kögl,Marcus Wagner Pdf

Over the past decades, the Boundary Element Method has emerged as a ver satile and powerful tool for the solution of engineering problems, presenting in many cases an alternative to the more widely used Finite Element Method. As with any numerical method, the engineer or scientist who applies it to a practical problem needs to be acquainted with, and understand, its basic principles to be able to apply it correctly and be aware of its limitations. It is with this intention that we have endeavoured to write this book: to give the student or practitioner an easy-to-understand introductory course to the method so as to enable him or her to apply it judiciously. As the title suggests, this book not only serves as an introductory course, but also cov ers some advanced topics that we consider important for the researcher who needs to be up-to-date with new developments. This book is the result of our teaching experiences with the Boundary Element Method, along with research and consulting activities carried out in the field. Its roots lie in a graduate course on the Boundary Element Method given by the authors at the university of Stuttgart. The experiences gained from teaching and the remarks and questions of the students have contributed to shaping the 'Introductory course' (Chapters 1-8) to the needs of the stu dents without assuming a background in numerical methods in general or the Boundary Element Method in particular.

Author : M. H. Aliabadi,C. A. Brebbia
Publisher : Unknown
Page : 312 pages
File Size : 53,7 Mb
Release : 1993
Category : Boundary element methods
ISBN : UCSD:31822015217789

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Advanced Formulations in Boundary Element Methods by M. H. Aliabadi,C. A. Brebbia Pdf

Author : Z.Y. Shen,Y.Y. Chen,Xian-zhong Zhao
Publisher : CRC Press
Page : 688 pages
File Size : 41,6 Mb
Release : 2008-09-11
Category : Technology & Engineering
ISBN : 9780203882818

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Tubular Structures XII by Z.Y. Shen,Y.Y. Chen,Xian-zhong Zhao Pdf

Presentation of the latest scientific and engineering developments in the field of tubular steel structures. Covers key and emerging subjects of hollow structural sections, such as: static and fatigue behaviour of connections/joints, concrete filled hollow sections and composite tubular members, offshore structures, earthquake resistance,

Author : V. Prasad Kodali
Publisher : Wiley-IEEE Press
Page : 488 pages
File Size : 50,7 Mb
Release : 2001-01-19
Category : Education
ISBN : UOM:39015050485674

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Engineering Electromagnetic Compatibility by V. Prasad Kodali Pdf

Electrical Engineering Engineering Electromagnetic Compatibility Principles, Measurements, Technologies, and Computer Models Second Edition This practical, enhanced second edition will teach you to avoid costly post-design electromagnetic compatibility (EMC) fixes. Once again, V. Prasad Kodali provides a comprehensive introduction to EMC and presents current technical information on sources of electromagnetic interference (EMI), EMC/EMI measurements, technologies to control EMI, computer simulation and design, and international EMC standards. Features added to this second edition include: * Two new chapters covering EMC computer modeling and simulation and signal integrity * Expanded assignments at the close of each chapter * Illustrative examples that enhance comprehension * Updated information in Selected Bibliography and EMC Standards chapters * A new appendix that lists websites relevant to EMC/EMI Engineering Electromagnetic Compatibility, Second Edition is presented in a concise, user-friendly format that combines a rigorous solutions-based, mathematical treatment of the underlying theories of EMC with the most recent practical applications. It is ideally suited as a desk reference for practicing engineers and as a textbook for students who need to understand the form and function of EMC and its relevance to a variety of systems.

Author : Levon G. Petrosian
Publisher : CRC Press
Page : 571 pages
File Size : 55,8 Mb
Release : 2022-06-12
Category : Technology & Engineering
ISBN : 9781000585698

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Analysis of Structures on Elastic Foundation by Levon G. Petrosian Pdf

- Introduces a general approach to the method of integral transforms based on the spectral theory of the linear differential operators. - Presents a new, versatile foundation model with a number of advantages over the ground-based models currently used in practical calculations. - Provides new transforms which will aid in solving various problems relevant to bars, beams, plates, and shells in particular for the structures on elastic foundation. - Examines the methods of solving boundary-value problems typical for structural mechanics and related fields.

Author : Anonim
Publisher : Unknown
Page : 806 pages
File Size : 52,7 Mb
Release : 1989
Category : Mathematics
ISBN : UOM:39015015473922

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Reviews in Complex Analysis, 1980-86 by Anonim Pdf

Author : Anonim
Publisher : Unknown
Page : 986 pages
File Size : 46,7 Mb
Release : 2001
Category : Technology
ISBN : MINN:31951P00806105F

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NASA Tech Briefs by Anonim Pdf

Author : Junwei Lu,Xiaojun Zhao,Sotoshi Yamada
Publisher : John Wiley & Sons
Page : 287 pages
File Size : 46,6 Mb
Release : 2016-10-03
Category : Technology & Engineering
ISBN : 9781118975763

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Harmonic Balance Finite Element Method by Junwei Lu,Xiaojun Zhao,Sotoshi Yamada Pdf

The first book applying HBFEM to practical electronic nonlinear field and circuit problems • Examines and solves wide aspects of practical electrical and electronic nonlinear field and circuit problems presented by HBFEM • Combines the latest research work with essential background knowledge, providing an all-encompassing reference for researchers, power engineers and students of applied electromagnetics analysis • There are very few books dealing with the solution of nonlinear electric- power-related problems • The contents are based on the authors’ many years’ research and industry experience; they approach the subject in a well-designed and logical way • It is expected that HBFEM will become a more useful and practical technique over the next 5 years due to the HVDC power system, renewable energy system and Smart Grid, HF magnetic used in DC/DC converter, and Multi-pulse transformer for HVDC power supply • HBFEM can provide effective and economic solutions to R&D product development • Includes Matlab exercises

Author : Anonim
Publisher : Unknown
Page : 328 pages
File Size : 46,6 Mb
Release : 1994
Category : Aeronautics
ISBN : MINN:30000011064577

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Scientific and Technical Aerospace Reports by Anonim Pdf

Author : Ali V. Aliev,Olga V. Mishchenkova,Alexey M. Lipanov
Publisher : CRC Press
Page : 410 pages
File Size : 44,9 Mb
Release : 2016-04-27
Category : Mathematics
ISBN : 9781771882903

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Mathematical Modeling and Numerical Methods in Chemical Physics and Mechanics by Ali V. Aliev,Olga V. Mishchenkova,Alexey M. Lipanov Pdf

The use of mathematical modeling in engineering allows for a significant reduction of material costs associated with design, production, and operation of technical objects, but it is important for an engineer to use the available computational approaches in modeling correctly. Taking into account the level of modern computer technology, this new volume explains how an engineer should properly define the physical and mathematical problem statement, choose the computational approach, and solve the problem by proven reliable computational approach using computer and software applications during the solution of a particular problem. This work is the result of years of the authors’ research and experience in the fields of power and rocket engineering where they put into practice the methods of mathematical modeling shown in this valuable volume. The examples in the book are based on two approaches. The first approach involves the use of the relatively simple mathematical system MathCad. The second one involves the solving of problems using Intel Visual Fortran compiler with IMSL Libraries. The use of other software packages (Maple, MathLab, Mathematica) or compilers (С, С++, Visual Basic) for code is equally acceptable in the solution of the problems given in the book. Intended for professors and instructors, scientific researchers, students, and industry professionals, the book will help readers to choose the most appropriate mathematical modeling method to solve engineering problems, and the authors also include methods that allow for the solving of nonmathematical problems as mathematical problems.

Author : Anonim
Publisher : Unknown
Page : 1222 pages
File Size : 40,8 Mb
Release : 1998
Category : American literature
ISBN : UOM:39015079622752

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American Book Publishing Record by Anonim Pdf