Application Of Pade Approximation Theory In Fluid Dynamics
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Applications Of Pade Approximation Theory In Fluid Dynamics
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Author : Amilcare Pozzi
language : en
Publisher: World Scientific
Release Date : 1994-03-07
Applications Of Pade Approximation Theory In Fluid Dynamics written by Amilcare Pozzi and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-03-07 with Mathematics categories.
Although Padé presented his fundamental paper at the end of the last century, the studies on Padé's approximants only became significant in the second part of this century.Padé procedure is related to the theory of continued fractions, and some convergence theorems can be expressed only in terms of continued fractions. Further, Padé approximants have some advantages of practical applicability with respect to the continued-fraction theory. Moreover, as Chisholm notes, a given power series determines a set of approximants which are usually unique, whereas there are many ways of writing an associated continued fraction.The principal advantage of Padé approximants with respect to the generating Taylor series is that they provide an extension beyond the interval of convergence of the series.Padé approximants can be applied in many parts of fluid-dynamics, both in steady and in nonsteady flows, both in incompressible and in compressible regimes.This book is divided into four parts. The first one deals with the properties of the Padé approximants that are useful for the applications and illustrates, with the aid of diagrams and tables, the effectiveness of this technique in the field of applied mathematics. The second part recalls the basic equations of fluid-dynamics (those associated with the names of Navier-Stokes, Euler and Prandtl) and gives a quick derivation of them from the general balance equation. The third shows eight examples of the application of Padé approximants to steady flows, also taking into account the influence of the coupling of heat conduction in the body along which a fluid flows with conduction and convection in the fluid itself. The fourth part considers two examples of the application of Padé approximants to unsteady flows.
Application Of Pade Approximation Theory In Fluid Dynamics
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Author : Amilcare Pozzi (prof. di gasdinamica.)
language : en
Publisher:
Release Date : 1994
Application Of Pade Approximation Theory In Fluid Dynamics written by Amilcare Pozzi (prof. di gasdinamica.) and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with categories.
Pade Legendre Method For Uncertainty Quantification With Fluid Dynamics Applications
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Author : Tonkid Chantrasmi
language : en
Publisher: Stanford University
Release Date : 2011
Pade Legendre Method For Uncertainty Quantification With Fluid Dynamics Applications written by Tonkid Chantrasmi and has been published by Stanford University this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with categories.
Abstract: The Pade-Legendre (PL) method, a novel approach for uncertainty quantification is introduced. The proposed method uses a rational function expansion and is designed to effectively characterize uncertainties in strongly non-linear or discontinuous systems. The discontinuities can be either in the underlying functions (inherent discontinuities) or from lack of sufficient data resolution (multi-scale discontinuities). In the former case, PL method can produce an accurate response surface without spurious oscillations and does not require prior knowledge of the discontinuities. For the latter type of discontinuities, the PL method can help reduce the number of deterministic simulations required to accurately represent the response surface. If sufficient data resolution is achieved, the PL method degenerates to standard polynomial reconstruction. The present approach is illustrated in a number of applications as an uncertainty propagation technique. Moreover, the method is applied to an inference problem in which a sharp discontinuity in the system input is present. The PL method shows a considerable improvement over the traditional approach when discontinuities are present. In addition, an ongoing effort called the UQ Experiment in which we used the PL method to help design the experimental setup is discussed.
Advances In Mathematical Modelling Of Composite Materials
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Author : Konstantin Z. Markov
language : en
Publisher: World Scientific
Release Date : 1994
Advances In Mathematical Modelling Of Composite Materials written by Konstantin Z. Markov and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Technology & Engineering categories.
This volume contains papers of leading experts in the modern continuum theory of composite materials. The papers expose in detail the newest ideas, approaches, results and perspectives in this broadly interdisciplinary field ranging from pure and applied mathematics, mechanics, physics and materials science. The emphasis is on mathematical modelling and model analysis of the mechanical behaviour and strength of composites, including methods of predicting effective macroscopic properties (dielectric, elastic, nonlinear, inelastic, plastic and thermoplastic) from known microstructures.
Constrained Control Problems Of Discrete Processes
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Author : Vu Ngoc Phat
language : en
Publisher: World Scientific
Release Date : 1996-11-26
Constrained Control Problems Of Discrete Processes written by Vu Ngoc Phat and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-11-26 with Mathematics categories.
The book gives a novel treatment of recent advances on constrained control problems with emphasis on the controllability, reachability of dynamical discrete-time systems. The new proposed approach provides the right setting for the study of qualitative properties of general types of dynamical systems in both discrete-time and continuous-time systems with possible applications to some control engineering models. Most of the material appears for the first time in a book form. The book is addressed to advanced students, postgraduate students and researchers interested in control system theory and optimal control.
Advanced Mathematical And Computational Tools In Metrology Iv
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Author : Patrizia Ciarlini
language : en
Publisher: World Scientific
Release Date : 2000-01-22
Advanced Mathematical And Computational Tools In Metrology Iv written by Patrizia Ciarlini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2000-01-22 with Mathematics categories.
Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, are likely to benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people in universities, research centers and industries who are involved in measurements and need advanced mathematical tools to solve their problems, and to those developing such mathematical tools.
Mathematical Models And Methods For Smart Material
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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002
Mathematical Models And Methods For Smart Material written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Mathematics categories.
This book contains the papers presented at the conference on OC Mathematical Models and Methods for Smart MaterialsOCO, held in Italy in 2001. The papers are divided into four parts: OCOMethods in Materials ScienceOCO deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.OCOModelling of Smart MaterialsOCO is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.OCOWell-Posedness in Materials with MemoryOCO deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.OCOAnalytic Problems in Phase TransitionsOCO discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition."
Mathematical Models And Methods For Smart Materials
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Author : Mauro Fabrizio
language : en
Publisher: World Scientific
Release Date : 2002-12-16
Mathematical Models And Methods For Smart Materials written by Mauro Fabrizio and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002-12-16 with Mathematics categories.
This book contains the papers presented at the conference on “Mathematical Models and Methods for Smart Materials”, held in Italy in 2001. The papers are divided into four parts:”Methods in Materials Science” deals mainly with mathematical techniques for the investigation of physical systems, such as liquid crystals, materials with internal variables, amorphous materials, and thermoelastic materials. Also, techniques are exhibited for the analysis of stability and controllability of classical models of continuum mechanics and of dynamical systems.”Modelling of Smart Materials” is devoted to models of superfluids, superconductors, materials with memory, nonlinear elastic solids, and damaged materials. In the elaboration of the models, thermodynamic aspects play a central role in the characterization of the constitutive properties.”Well-Posedness in Materials with Memory” deals with existence, uniqueness and stability for the solution of problems, most often expressed by integrodifferential equations, which involve materials with fading memory. Also, attention is given to exponential decay in viscoelasticity, inverse problems in heat conduction with memory, and automatic control for parabolic equations.”Analytic Problems in Phase Transitions” discusses nonlinear partial differential equations associated with phase transitions, and hysteresis, possibly involving fading memory effects. Particular applications are developed for the phase-field model with memory, the Stefan problem with a Cattaneo-type equation, the hysteresis in thermo-visco-plasticity, and the solid-solid phase transition.
On The Way To Understanding The Time Phenomenon The Constructions Of Time In Natural Science Part 1
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Author : A P Levich
language : en
Publisher: World Scientific
Release Date : 1995-06-30
On The Way To Understanding The Time Phenomenon The Constructions Of Time In Natural Science Part 1 written by A P Levich and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1995-06-30 with Science categories.
The subject of this book is time, one of the small number of elusive essences of the world, unsubdued by human will. The three global problems of natural science, those of the origin of the Universe, life and consciousness, cannot be solved without finding out the nature of time. Without a good construction of time it is impossible to describe, to qualify, to forecast and to control various processes in the animate and inanimate nature. Special attention is paid to the ways of adequate inclusion of the properties of time in the derivation of the fundamental equations of motion for natural systems.
Advanced Mathematical And Computational Tools In Metrology V
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Author : Patrizia Ciarlini
language : en
Publisher: World Scientific
Release Date : 2001-03-09
Advanced Mathematical And Computational Tools In Metrology V written by Patrizia Ciarlini and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001-03-09 with Mathematics categories.
Advances in metrology depend on improvements in scientific and technical knowledge and in instrumentation quality, as well as on better use of advanced mathematical tools and development of new ones. In this volume, scientists from both the mathematical and the metrological fields exchange their experiences. Industrial sectors, such as instrumentation and software, will benefit from this exchange, since metrology has a high impact on the overall quality of industrial products, and applied mathematics is becoming more and more important in industrial processes.This book is of interest to people in universities, research centers and industries who are involved in measurements and need advanced mathematical tools to solve their problems, and also to those developing such mathematical tools.