Dimensional Analysis In The Identification Of Mathematical Models
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Dimensional Analysis In The Identification Of Mathematical Models
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Author : Lysik Bertold
language : en
Publisher: World Scientific
Release Date : 1990-09-12
Dimensional Analysis In The Identification Of Mathematical Models written by Lysik Bertold and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990-09-12 with Mathematics categories.
This book is the first textbook with the generalization of Dimensional Analysis, specially prepared to solve problems of identification of mathematical models based on experimental data. The generalization gives the possibility of mathematical model invariant with regard to gauge group, groups of rotation and others. The resulting formalism generates the most general and tensor homogeneous form of possible functional dependence.
Dimensional Analysis In The Identification Of Mathematical Models
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Author : Wacław Kasprzak
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1990
Dimensional Analysis In The Identification Of Mathematical Models written by Wacław Kasprzak and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with Mathematics categories.
This book is the first textbook with the generalization of Dimensional Analysis, specially prepared to solve problems of identification of mathematical models based on experimental data. The generalization gives the possibility of mathematical model invariant with regard to gauge group, groups of rotation and others. The resulting formalism generates the most general and tensor homogeneous form of possible functional dependence.
Similarity And Modeling In Science And Engineering
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Author : Josef Kuneš
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-04-07
Similarity And Modeling In Science And Engineering written by Josef Kuneš and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-07 with Mathematics categories.
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.
Proceedings Of The Fifth Siam Conference On Applied Linear Algebra
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Author : John Gregg Lewis
language : en
Publisher: SIAM
Release Date : 1994-01-01
Proceedings Of The Fifth Siam Conference On Applied Linear Algebra written by John Gregg Lewis and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Principles Of Mathematical Modeling
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Author : Clive Dym
language : en
Publisher: Academic Press
Release Date : 2004-06-21
Principles Of Mathematical Modeling written by Clive Dym and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004-06-21 with Mathematics categories.
This book provides a readable and informative introduction to the development and application of mathematical models in science and engineering. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques). The second half then applies these foundational tools to a broad variety of subjects, including exponenttial growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. An extensive collection of more than 360 problems offer ample opportunity in both a formal course and for the individual reader. (Midwest).
Synthesis Of Adequate Mathematical Descriptions Of Physical Processes
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Author : Yurii Menshykov
language : en
Publisher: Cambridge Scholars Publishing
Release Date : 2020-08-11
Synthesis Of Adequate Mathematical Descriptions Of Physical Processes written by Yurii Menshykov and has been published by Cambridge Scholars Publishing this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-08-11 with Mathematics categories.
For effective use of the results of computational calculations, it is necessary that the computational schemes used correspond to real physical processes, so that the schemes are adequate. The issue of adequacy is currently poorly understood and there are also no generally accepted criteria of adequacy. This book is the first to address the questions of constructing adequate mathematical descriptions of physical processes and their reasonable use in the future for various purposes. It proposes two adequacy criteria (quantitative and qualitative), and describes several possible algorithms for synthesis of cases when the physical process is composed of a system of ordinary differential equations or a mathematical model in algebraic form. The algorithms described here will be useful for specialists in areas where methods of mathematical modeling are used, such as mechanics.
An Introduction To Mathematical Modeling
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Author : Edward A. Bender
language : en
Publisher: Courier Corporation
Release Date : 2000-03-06
An Introduction To Mathematical Modeling written by Edward A. Bender and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-03-06 with Mathematics categories.
Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.
Mathematical Modeling
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Author : Sandip Banerjee
language : en
Publisher: CRC Press
Release Date : 2014-02-07
Mathematical Modeling written by Sandip Banerjee and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-02-07 with Mathematics categories.
Almost every year, a new book on mathematical modeling is published, so, why another? The answer springs directly from the fact that it is very rare to find a book that covers modeling with all types of differential equations in one volume. Until now. Mathematical Modeling: Models, Analysis and Applications covers modeling with all kinds of differe
Nasa Thesaurus
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Author :
language : en
Publisher:
Release Date : 1998
Nasa Thesaurus written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Aeronautics categories.
Contains the authorized subject terms by which the documents in the NASA STI Database are indexed and retrieved.
Mathematical Modeling And Simulation
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Author : Kai Velten
language : en
Publisher: John Wiley & Sons
Release Date : 2009-06-01
Mathematical Modeling And Simulation written by Kai Velten and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-01 with Science categories.
This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).