Mathematical Modeling Of Discontinuous Processes
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Mathematical Modeling Of Discontinuous Processes
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Author : Andrey Antonov
language : en
Publisher: Scientific Research Publishing, Inc. USA
Release Date : 2017-12-19
Mathematical Modeling Of Discontinuous Processes written by Andrey Antonov and has been published by Scientific Research Publishing, Inc. USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-12-19 with Mathematics categories.
In this monograph as a mathematical apparatus are used and investigated several classes of differential equations. The most significant feature of these differential equations is the presence of impulsive effects. The main goals and the results achieved in the monograph are related to the use of this class of equation for an adequate description of the dynamics of several types of processes that are subject to discrete external interventions and change the speed of development. In all proposed models the following requirements have met: 1) Presented and studied mathematical models in the book are extensions of existing known in the literature models of real objects and related processes. 2) Generalizations of the studied models are related to the admission of external impulsive effects, which lead to “jump-like” change the quantity characteristics of the described object as well as the rate of its modification. 3) Sufficient conditions which guarantee certain qualities of the dynamics of the quantities of the modeled objects are found. 4) Studies of the qualities of the modification of the modeled objects are possible to be successful by differential equations with variable structure and impulsive effects. 5) The considerations relating to the existence of the studied properties of dynamic objects cannot be realized without introducing new concepts and proving of appropriate theorems. The main objectives can be conditionally divided into several parts: 1) New classes of differential equations with variable structure and impulses are introduced and studied; 2) Specific properties of the above-mentioned class of differential equations are introduced and studied. The present monograph consists of an introduction and seven chapters. Each chapter contains several sections.
Mathematical Aspects Of Discontinuous Galerkin Methods
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Author : Daniele Antonio Di Pietro
language : en
Publisher: Springer Science & Business Media
Release Date : 2011-11-03
Mathematical Aspects Of Discontinuous Galerkin Methods written by Daniele Antonio Di Pietro 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 2011-11-03 with Mathematics categories.
This book introduces the basic ideas to build discontinuous Galerkin methods and, at the same time, incorporates several recent mathematical developments. The presentation is to a large extent self-contained and is intended for graduate students and researchers in numerical analysis. The material covers a wide range of model problems, both steady and unsteady, elaborating from advection-reaction and diffusion problems up to the Navier-Stokes equations and Friedrichs' systems. Both finite element and finite volume viewpoints are exploited to convey the main ideas underlying the design of the approximation. The analysis is presented in a rigorous mathematical setting where discrete counterparts of the key properties of the continuous problem are identified. The framework encompasses fairly general meshes regarding element shapes and hanging nodes. Salient implementation issues are also addressed.
Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations
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Author : Beatrice Riviere
language : en
Publisher: SIAM
Release Date : 2008-12-18
Discontinuous Galerkin Methods For Solving Elliptic And Parabolic Equations written by Beatrice Riviere and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008-12-18 with Mathematics categories.
Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.
Physical And Mathematical Modeling Of Earth And Environment Processes 2018
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Author : V. I. Karev
language : en
Publisher: Springer
Release Date : 2019-03-24
Physical And Mathematical Modeling Of Earth And Environment Processes 2018 written by V. I. Karev and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2019-03-24 with Science categories.
This book entitled "Physical and Mathematical Modeling of Earth and Environment Processes" is the result of a collaborative work after the 4th international scientific youth forum held at the IPMech RAS on November 1–3, 2018. The book includes theoretical and experimental studies of processes in the atmosphere, oceans, the lithosphere and their interaction; environmental issues; problems of human impact on the environment; methods of geophysical research. A special focus is given to the extraction of hydrocarbon resources, including unconventional sources. This book also focuses on new approaches to the development of hydrocarbon fields, very important in today's geopolitical conditions. The book presents new results of the experimental and theoretical modeling of deformation, fracture and filtration processes in the rocks in connection with issues of creating scientific fundamentals for new hydrocarbon production technologies.
Mathematical Modelling In Science And Technology
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Author : Xavier J.R. Avula
language : en
Publisher: Elsevier
Release Date : 2014-05-09
Mathematical Modelling In Science And Technology written by Xavier J.R. Avula and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-09 with Mathematics categories.
Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.
Hidden Dynamics
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Author : Mike R. Jeffrey
language : en
Publisher: Springer
Release Date : 2018-12-11
Hidden Dynamics written by Mike R. Jeffrey and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-12-11 with Mathematics categories.
The dream of mathematical modeling is of systems evolving in a continuous, deterministic, predictable way. Unfortunately continuity is lost whenever the `rules of the game' change, whether a change of behavioural regime, or a change of physical properties. From biological mitosis to seizures. From rattling machine parts to earthquakes. From individual decisions to economic crashes. Where discontinuities occur, determinacy is inevitably lost. Typically the physical laws of such change are poorly understood, and too ill-defined for standard mathematics. Discontinuities offer a way to make the bounds of scientific knowledge a part of the model, to analyse a system with detail and rigour, yet still leave room for uncertainty. This is done without recourse to stochastic modeling, instead retaining determinacy as far as possible, and focussing on the geometry of the many outcomes that become possible when it breaks down. In this book the foundations of `piecewise-smooth dynamics' theory are rejuvenated, given new life through the lens of modern nonlinear dynamics and asymptotics. Numerous examples and exercises lead the reader through from basic to advanced analytical methods, particularly new tools for studying stability and bifurcations. The book is aimed at scientists and engineers from any background with a basic grounding in calculus and linear algebra. It seeks to provide an invaluable resource for modeling discontinuous systems, but also to empower the reader to develop their own novel models and discover as yet unknown phenomena.
Mathematical Modeling With Computers
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Author : Samuel L. S. Jacoby
language : en
Publisher: Prentice Hall
Release Date : 1980
Mathematical Modeling With Computers written by Samuel L. S. Jacoby and has been published by Prentice Hall this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Computers categories.
"This book is a guide for builders and users of computer implemented mathematical models." -- Preface.
Nodal Discontinuous Galerkin Methods
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Author : Jan S. Hesthaven
language : en
Publisher: Springer Science & Business Media
Release Date : 2007-12-20
Nodal Discontinuous Galerkin Methods written by Jan S. Hesthaven 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 2007-12-20 with Mathematics categories.
This book offers an introduction to the key ideas, basic analysis, and efficient implementation of discontinuous Galerkin finite element methods (DG-FEM) for the solution of partial differential equations. It covers all key theoretical results, including an overview of relevant results from approximation theory, convergence theory for numerical PDE’s, and orthogonal polynomials. Through embedded Matlab codes, coverage discusses and implements the algorithms for a number of classic systems of PDE’s: Maxwell’s equations, Euler equations, incompressible Navier-Stokes equations, and Poisson- and Helmholtz equations.
Mathematical Models Of Chemical Reactions
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Author : Péter Érdi
language : en
Publisher: Manchester University Press
Release Date : 1989
Mathematical Models Of Chemical Reactions written by Péter Érdi and has been published by Manchester University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1989 with Science categories.
International Conference On Reliable Systems Engineering Icorse 2023
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Author : Daniela Doina Cioboată
language : en
Publisher: Springer Nature
Release Date : 2023-09-04
International Conference On Reliable Systems Engineering Icorse 2023 written by Daniela Doina Cioboată and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-09-04 with Technology & Engineering categories.
This book comprises state-of-the-art research results in the field of mechatronics and other closely related areas and that will be presented on occasion of the third “International Conference of Reliable Systems Engineering (ICoRSE 2023)” that will take place in Bucharest, Romania, between 07–08 September 2023. The first two ICoRSE editions brought together professors, Ph.D. students, and researchers in Europe, North America, and Asia, in countries such as: England, Albania, Austria, Bulgaria, Canada, Czech Republic, Germany, France, Italy, Portugal, Turkey, Ukraine, Uzbekistan, and Vietnam. In this year’s edition of the conference, we have benefitted from the inclusion in the scientific committee of the conference of professors in all of these countries, and we cover a wide variety of topics, such as: theoretical and applied mechanics; cyber-physical systems, robotics, smart bio-medical and bio-mechatronic systems, new and intelligent materials and structures, modelling and simulation in mechanics and mechatronics, smart mechatronic production and control system, optics, control systems, big data modelling, micro- and nanotechnology, automation, manufacturing optimization, and other. Since the book ́s chapters represent contributions of scholars who work in both state-funded institutions and in the business environment, they reflect a clear picture of the novelties attained in the leading-edge sciences that are in the scope of the conference. It is our belief that the book is useful to both students and researchers in all areas of engineering, who will each find at least one topic worthy of their interest in this work.