Excel In Complex Variables With The Complex Variable Boundary Element Method PDF Download
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Author | : B. D. Wilkins |
Publisher | : WIT Press |
Total Pages | : 290 |
Release | : 2021-09-22 |
Genre | : Mathematics |
ISBN | : 1784664510 |
Download Excel in Complex Variables with the Complex Variable Boundary Element Method Book in PDF, ePub and Kindle
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 |
Total Pages | : 174 |
Release | : 2021-08-31 |
Genre | : Mathematics |
ISBN | : 1784664316 |
Download Boundary Elements and other Mesh Reduction Methods XLIV Book in PDF, ePub and Kindle
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 |
Total Pages | : 186 |
Release | : 2022-07-25 |
Genre | : Mathematics |
ISBN | : 1784664596 |
Download Boundary Elements and other Mesh Reduction Methods XLV Book in PDF, ePub and Kindle
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 |
Publisher | : Elsevier |
Total Pages | : 1001 |
Release | : 2013-10-22 |
Genre | : Technology & Engineering |
ISBN | : 1483160165 |
Download Proceedings of the International Symposium on Engineering in Complex Rock Formations Book in PDF, ePub and Kindle
Proceedings of the International Symposium on Engineering in Complex Rock Formations
Author | : Lothar Gaul |
Publisher | : Springer Science & Business Media |
Total Pages | : 491 |
Release | : 2013-06-29 |
Genre | : Technology & Engineering |
ISBN | : 3662051362 |
Download Boundary Element Methods for Engineers and Scientists Book in PDF, ePub and Kindle
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 |
Publisher | : |
Total Pages | : 312 |
Release | : 1993 |
Genre | : Boundary element methods |
ISBN | : |
Download Advanced Formulations in Boundary Element Methods Book in PDF, ePub and Kindle
Author | : Z.Y. Shen |
Publisher | : CRC Press |
Total Pages | : 688 |
Release | : 2008-09-11 |
Genre | : Technology & Engineering |
ISBN | : 0203882814 |
Download Tubular Structures XII Book in PDF, ePub and Kindle
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 |
Total Pages | : 488 |
Release | : 2001-01-19 |
Genre | : Education |
ISBN | : |
Download Engineering Electromagnetic Compatibility Book in PDF, ePub and Kindle
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 | : Stephen D. Fisher |
Publisher | : Arden Shakespeare |
Total Pages | : 427 |
Release | : 1990 |
Genre | : Functions of complex variables |
ISBN | : 9780534982805 |
Download Complex Variables Book in PDF, ePub and Kindle
Author | : |
Publisher | : |
Total Pages | : 328 |
Release | : 1994 |
Genre | : Aeronautics |
ISBN | : |
Download Scientific and Technical Aerospace Reports Book in PDF, ePub and Kindle