Similitude And Approximation Theory

Author : S.J. Kline
Publisher : Springer Science & Business Media
ISBN 13 : 3642616380
Total Pages : 246 pages
Book Rating : 4.89/5 ( download)

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Download or read book Similitude and Approximation Theory written by S.J. Kline and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 246 pages. Available in PDF, EPUB and Kindle. Book excerpt: There are a number of reasons for producing this edition of Simili tude and Approximation Theory. The methodologies developed remain important in many areas of technical work. No other equivalent work has appeared in the two decades since the publication of the first edition. The materials still provide an important increase in understanding for first-year graduate students in engineering and for workers in research and development at an equivalent level. In addition, consulting experiences in a number of industries indi cate that many technical workers in research and development lack knowledge of the methodologies given in this work. This lack makes the work of planning and controlling computations and experiments less efficient in many cases. It also implies that the coordinated grasp of the phenomena (which is so critical to effective research and develop ment work) will be less than it might be. The materials covered in this work focus on the relationship between mathematical models and the physical reality such models are intended v vi Preface to the Springer Edition to portray. Understanding these relationships remains a key factor in simplifying and generalizing correlations, predictions, test programs, and computations. Moreover, as many teachers of engineering know, this kind of understanding is typically harder for students to develop than an understanding of either the mathematics or the physics alone.

Author : Stephen Jay Kline
Publisher : Springer
ISBN 13 :
Total Pages : 264 pages
Book Rating : 4.31/5 ( download)

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Download or read book Similitude and Approximation Theory written by Stephen Jay Kline and published by Springer. This book was released on 1986 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Paul L. Butzer
Publisher :
ISBN 13 : 9780817601898
Total Pages : 262 pages
Book Rating : 4.99/5 ( download)

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Download or read book On Approximation Theory written by Paul L. Butzer and published by . This book was released on 1980-01-01 with total page 262 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : N. I. Achieser
Publisher : Courier Corporation
ISBN 13 : 0486153134
Total Pages : 324 pages
Book Rating : 4.31/5 ( download)

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Download or read book Theory of Approximation written by N. I. Achieser and published by Courier Corporation. This book was released on 2013-06-05 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: A pioneer of many modern developments in approximation theory, N. I. Achieser designed this graduate-level text from the standpoint of functional analysis. The first two chapters address approximation problems in linear normalized spaces and the ideas of P. L. Tchebysheff. Chapter III examines the elements of harmonic analysis, and Chapter IV, integral transcendental functions of the exponential type. The final two chapters explore the best harmonic approximation of functions and Wiener's theorem on approximation. Professor Achieser concludes this exemplary text with an extensive section of problems and applications (elementary extremal problems, Szego's theorem, the Carathéodory-Fejér problem, and more).

Author : P.S. Westine
Publisher : Elsevier
ISBN 13 : 0444598138
Total Pages : 397 pages
Book Rating : 4.34/5 ( download)

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Download or read book Similarity Methods in Engineering Dynamics written by P.S. Westine and published by Elsevier. This book was released on 2012-12-02 with total page 397 pages. Available in PDF, EPUB and Kindle. Book excerpt: Here is the second revised and updated edition of probably the most practical sourcebook on similarity methods and modeling techniques available. Written by leading authorities who incorporate many of the latest advances in the field, this new work maps out techniques for modeling as well as instrumentation and data analysis for an extremely wide array of problems in engineering dynamics. This practical reference uses experimental test data on various engineering problems demonstrating exactly how and why these similarity methods work. The problems involve spread of oil slicks, explosive cratering, car crashes, space vehicle heat exchange, explosive forming, and more. The spectrum of topics covered and number of examples are far greater than in other texts. Of particular importance are the dissimilar material modeling techniques which bring new versatility and freedom to the modeler in structural dynamics. The book also contains a clear, in-depth discussion of the theory underlying modeling and includes alternate methods for developing model laws. The work will undoubtedly prove invaluable to every professional involved in testing or design of dynamic experiments.

Author : Josef Kuneš
Publisher : Springer Science & Business Media
ISBN 13 : 1907343776
Total Pages : 451 pages
Book Rating : 4.73/5 ( download)

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Download or read book Similarity and Modeling in Science and Engineering written by Josef Kuneš and published by Springer Science & Business Media. This book was released on 2012-04-07 with total page 451 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present text sets itself in relief to other titles on the subject in that it addresses the means and methodologies versus a narrow specific-task oriented approach. Concepts and their developments which evolved to meet the changing needs of applications are addressed. This approach provides the reader with a general tool-box to apply to their specific needs. Two important tools are presented: dimensional analysis and the similarity analysis methods. The fundamental point of view, enabling one to sort all models, is that of information flux between a model and an original expressed by the similarity and abstraction Each chapter includes original examples and applications. In this respect, the models can be divided into several groups. The following models are dealt with separately by chapter; mathematical and physical models, physical analogues, deterministic, stochastic, and cybernetic computer models. The mathematical models are divided into asymptotic and phenomenological models. The phenomenological models, which can also be called experimental, are usually the result of an experiment on an complex object or process. The variable dimensionless quantities contain information about the real state of boundary conditions, parameter (non-linearity) changes, and other factors. With satisfactory measurement accuracy and experimental strategy, such models are highly credible and can be used, for example in control systems.

Author : Michael Weisberg
Publisher : OUP USA
ISBN 13 : 0199933669
Total Pages : 211 pages
Book Rating : 4.62/5 ( download)

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Download or read book Simulation and Similarity written by Michael Weisberg and published by OUP USA. This book was released on 2013-02-14 with total page 211 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an account of modeling and idealization in modern scientific practice, focusing on concrete, mathematical, and computational models. The main topics of this book are the nature of models, the practice of modeling, and the nature of the relationship between models and real-world phenomena. In order to elucidate the model/world relationship, Weisberg develops a novel account of similarity called weighted feature matching.

Author : Elliott Ward Cheney
Publisher :
ISBN 13 : 9780012171059
Total Pages : 944 pages
Book Rating : 4.50/5 ( download)

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Download or read book Approximation Theory III written by Elliott Ward Cheney and published by . This book was released on 1980 with total page 944 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Pavel Novak
Publisher : CRC Press
ISBN 13 : 1351988476
Total Pages : 422 pages
Book Rating : 4.76/5 ( download)

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Download or read book Hydraulic Modelling: An Introduction written by Pavel Novak and published by CRC Press. This book was released on 2018-10-24 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: Modelling forms a vital part of all engineering design, yet many hydraulic engineers are not fully aware of the assumptions they make. These assumptions can have important consequences when choosing the best model to inform design decisions. Considering the advantages and limitations of both physical and mathematical methods, this book will help you identify the most appropriate form of analysis for the hydraulic engineering application in question. All models require the knowledge of their background, good data and careful interpretation and so this book also provides guidance on the range of accuracy to be expected of the model simulations and how they should be related to the prototype. Applications to models include: open channel systems closed conduit flows storm drainage systems estuaries coastal and nearshore structures hydraulic structures. This an invaluable guide for students and professionals.

Author : Daniel E. Rosner
Publisher : Butterworth-Heinemann
ISBN 13 : 1483162680
Total Pages : 571 pages
Book Rating : 4.83/5 ( download)

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Download or read book Transport Processes in Chemically Reacting Flow Systems written by Daniel E. Rosner and published by Butterworth-Heinemann. This book was released on 2013-10-22 with total page 571 pages. Available in PDF, EPUB and Kindle. Book excerpt: Transport Processes in Chemically Reacting Flow Systems discusses the role, in chemically reacting flow systems, of transport processes—particularly the transport of momentum, energy, and (chemical species) mass in fluids (gases and liquids). The principles developed and often illustrated here for combustion systems are important not only for the rational design and development of engineering equipment (e.g., chemical reactors, heat exchangers, mass exchangers) but also for scientific research involving coupled transport processes and chemical reaction in flow systems. The book begins with an introduction to transport processes in chemically reactive systems. Separate chapters cover momentum, energy, and mass transport. These chapters develop, state, and exploit useful quantitative ""analogies"" between these transport phenomena, including interrelationships that remain valid even in the presence of homogeneous or heterogeneous chemical reactions. A separate chapter covers the use of transport theory in the systematization and generalization of experimental data on chemically reacting systems. The principles and methods discussed are then applied to the preliminary design of a heat exchanger for extracting power from the products of combustion in a stationary (fossil-fuel-fired) power plant. The book has been written in such a way as to be accessible to students and practicing scientists whose background has until now been confined to physical chemistry, classical physics, and/or applied mathematics.