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Excel In Complex Variables With The Complex Variable Boundary Element Method
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Book Synopsis Excel in Complex Variables with the Complex Variable Boundary Element Method by : B. D. Wilkins
Download or read book Excel in Complex Variables with the Complex Variable Boundary Element Method written by B. D. Wilkins and published by WIT Press. This book was released on 2021-09-22 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boundary Elements and other Mesh Reduction Methods XLIV by : A. H.-D. Cheng
Download or read book Boundary Elements and other Mesh Reduction Methods XLIV written by A. H.-D. Cheng and published by WIT Press. This book was released on 2021-08-31 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Boundary Elements and other Mesh Reduction Methods XLV by : A. H.-D. Cheng
Download or read book Boundary Elements and other Mesh Reduction Methods XLV written by A. H.-D. Cheng and published by WIT Press. This book was released on 2022-07-25 with total page 186 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Book Synopsis Complex Variables by : Stephen D. Fisher
Download or read book Complex Variables written by Stephen D. Fisher and published by Arden Shakespeare. This book was released on 1990 with total page 427 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Applied Mechanics Reviews written by and published by . This book was released on 1974 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Boundary Element Method in Acoustics by : Stephen Kirkup
Download or read book The Boundary Element Method in Acoustics written by Stephen Kirkup and published by Stephen Kirkup. This book was released on 1998 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis The Maritime Engineering Reference Book by : Anthony F. Molland
Download or read book The Maritime Engineering Reference Book written by Anthony F. Molland and published by Elsevier. This book was released on 2011-10-13 with total page 921 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Maritime Engineering Reference Book is a one-stop source for engineers involved in marine engineering and naval architecture. In this essential reference, Anthony F. Molland has brought together the work of a number of the world's leading writers in the field to create an inclusive volume for a wide audience of marine engineers, naval architects and those involved in marine operations, insurance and other related fields. Coverage ranges from the basics to more advanced topics in ship design, construction and operation. All the key areas are covered, including ship flotation and stability, ship structures, propulsion, seakeeping and maneuvering. The marine environment and maritime safety are explored as well as new technologies, such as computer aided ship design and remotely operated vehicles (ROVs).Facts, figures and data from world-leading experts makes this an invaluable ready-reference for those involved in the field of maritime engineering.Professor A.F. Molland, BSc, MSc, PhD, CEng, FRINA. is Emeritus Professor of Ship Design at the University of Southampton, UK. He has lectured ship design and operation for many years. He has carried out extensive research and published widely on ship design and various aspects of ship hydrodynamics. * A comprehensive overview from best-selling authors including Bryan Barrass, Rawson and Tupper, and David Eyres* Covers basic and advanced material on marine engineering and Naval Architecture topics* Have key facts, figures and data to hand in one complete reference book
Download or read book Forthcoming Books written by Rose Arny and published by . This book was released on 2002 with total page 1752 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Computer Aided and Integrated Manufacturing Systems: Computer aided design by : Cornelius T. Leondes
Download or read book Computer Aided and Integrated Manufacturing Systems: Computer aided design written by Cornelius T. Leondes and published by World Scientific. This book was released on 2003 with total page 313 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an invaluable five-volume reference on the very broad and highly significant subject of computer aided and integrated manufacturing systems. It is a set of distinctly titled and well-harmonized volumes by leading experts on the international scene.The techniques and technologies used in computer aided and integrated manufacturing systems have produced, and will no doubt continue to produce, major annual improvements in productivity, which is defined as the goods and services produced from each hour of work. This publication deals particularly with more effective utilization of labor and capital, especially information technology systems. Together the five volumes treat comprehensively the major techniques and technologies that are involved.
Book Synopsis Complex Variables and Transform Calculus by : Matiur Rahman
Download or read book Complex Variables and Transform Calculus written by Matiur Rahman and published by Southhampton, UK : Computational Mechanics Publications. This book was released on 1997 with total page 352 pages. Available in PDF, EPUB and Kindle. Book excerpt: Based on a series of lectures given by the author this text is designed for undergraduate students with an understanding of vector calculus, solution techniques of ordinary and partial differential equations and elementary knowledge of integral transforms. It will also be an invaluable reference to scientists and engineers who need to know the basic mathematical development of the theory of complex variables in order to solve field problems. The theorems given are well illustrated with examples.
Download or read book The Shock and Vibration Digest written by and published by . This book was released on 1986 with total page 640 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Complex Analysis for Mathematics and Engineering by : John H. Mathews
Download or read book Complex Analysis for Mathematics and Engineering written by John H. Mathews and published by WCB/McGraw-Hill. This book was released on 1996 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text provides a balance between pure (theoretical) and applied aspects of complex analysis. The many applications of complex analysis to science and engineering are described, and this third edition contains a historical introduction depicting the origins of complex numbers.
Book Synopsis An Introduction to Meshfree Methods and Their Programming by : G.R. Liu
Download or read book An Introduction to Meshfree Methods and Their Programming written by G.R. Liu and published by Springer Science & Business Media. This book was released on 2005-12-05 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: The finite difference method (FDM) hasbeen used tosolve differential equation systems for centuries. The FDM works well for problems of simple geometry and was widely used before the invention of the much more efficient, robust finite element method (FEM). FEM is now widely used in handling problems with complex geometry. Currently, we are using and developing even more powerful numerical techniques aiming to obtain more accurate approximate solutions in a more convenient manner for even more complex systems. The meshfree or meshless method is one such phenomenal development in the past decade, and is the subject of this book. There are many MFree methods proposed so far for different applications. Currently, three monographs on MFree methods have been published. Mesh Free Methods, Moving Beyond the Finite Element Method d by GR Liu (2002) provides a systematic discussion on basic theories, fundamentals for MFree methods, especially on MFree weak-form methods. It provides a comprehensive record of well-known MFree methods and the wide coverage of applications of MFree methods to problems of solids mechanics (solids, beams, plates, shells, etc.) as well as fluid mechanics. The Meshless Local Petrov-Galerkin (MLPG) Method d by Atluri and Shen (2002) provides detailed discussions of the meshfree local Petrov-Galerkin (MLPG) method and itsvariations. Formulations and applications of MLPG are well addressed in their book.
Book Synopsis Boundary Elements and Other Mesh Reduction Methods XXXV by : C. A. Brebbia
Download or read book Boundary Elements and Other Mesh Reduction Methods XXXV written by C. A. Brebbia and published by WIT Press. This book was released on 2013 with total page 253 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method, as well as other meshless techniques continue to evolve and grow in importance, with new applications developed every year. The proceedings of the Wessex Institute of Technology 's conferences on the Boundary Element Method, first convened in 1978 and now held annually, are recognised internationally as the record of the latest advances on the Method and other meshless techniques and their applications. The papers presented at the 35th conference cover topics such as Advanced meshless and mesh reduction methods; Advanced formulations; Computational methods; Stochastic modelling; Emerging applications; Solid mechanics applications; Dynamics and vibrations; Damage mechanics and fracture; Material characterisation; Fluid flow modelling; Electrical engineering and electromagnetics; Heat and mass transfer.
Book Synopsis 5th World Congress on Disaster Management: Volume I by : S. Ananda Babu
Download or read book 5th World Congress on Disaster Management: Volume I written by S. Ananda Babu and published by Taylor & Francis. This book was released on 2022-09-21 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: World Congress on Disaster Management (WCDM) brings researchers, policy makers and practitioners from around the world in the same platform to discuss various challenging issues of disaster risk management, enhance understanding of risks and advance actions for reducing risks and building resilience to disasters. The fifth WCDM deliberates on three critical issues that pose the most serious challenges as well as hold the best possible promise of building resilience to disasters. These are Technology, Finance, and Capacity. WCDM has emerged as the largest global conference on disaster management outside the UN system. The fifth WCDM was attended by more than 2500 scientists, professionals, policy makers and practitioners all around the world despite the prevalence of pandemic.
Book Synopsis MEMS and Microsystems by : Tai-Ran Hsu
Download or read book MEMS and Microsystems written by Tai-Ran Hsu and published by John Wiley & Sons. This book was released on 2020-07-16 with total page 576 pages. Available in PDF, EPUB and Kindle. Book excerpt: Technology/Engineering/Mechanical A bestselling MEMS text...now better than ever. An engineering design approach to Microelectromechanical Systems, MEMS and Microsystems remains the only available text to cover both the electrical and the mechanical aspects of the technology. In the five years since the publication of the first edition, there have been significant changes in the science and technology of miniaturization, including microsystems technology and nanotechnology. In response to the increasing needs of engineers to acquire basic knowledge and experience in these areas, this popular text has been carefully updated, including an entirely new section on the introduction of nanoscale engineering. Following a brief introduction to the history and evolution of nanotechnology, the author covers the fundamentals in the engineering design of nanostructures, including fabrication techniques for producing nanoproducts, engineering design principles in molecular dynamics, and fluid flows and heat transmission in nanoscale substances. Other highlights of the Second Edition include: * Expanded coverage of microfabrication plus assembly and packaging technologies * The introduction of microgyroscopes, miniature microphones, and heat pipes * Design methodologies for thermally actuated multilayered device components * The use of popular SU-8 polymer material Supported by numerous examples, case studies, and applied problems to facilitate understanding and real-world application, the Second Edition will be of significant value for both professionals and senior-level mechanical or electrical engineering students.
Book Synopsis The Boundary Element Method by : W.S. Hall
Download or read book The Boundary Element Method written by W.S. Hall and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 234 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Boundary Element Method is a simple, efficient and cost effective computational technique which provides numerical solutions - for objects of any shap- for a wide range of scientific and engineering problems. In dealing with the development of the mathematics of the Boundary Element Method the aim has been at every stage, only to present new material when sufficient experience and practice of simpler material has been gained. Since the usual background of many readers will be of differential equations, the connection of differential equations with integral equations is explained in Chapter 1, together with analytical and numerical methods of solution. This information on integral equations provides a base for the work of subsequent chapters. The mathematical formulation of boundary integral equations for potential problems - derived from the more familiar Laplace partial differential equation which governs many important physical problems - is set out in Chapter 2. It should be noted here that this initial formulation of the boundary integral equations reduces the dimensionality of the problem. In the key Chapter 3, the essentials of the Boundary Element Method are presented. This first presentation of the Boundary Element Method is in its simplest and most approachable form - two dimensional, with the shape of the boundary approximated by straight lines and the functions approximated by constants over each of the straight lines.
