Mathematical Modeling Of Discontinuous Processes

Author : Andrey Antonov
Publisher : Scientific Research Publishing, Inc. USA
ISBN 13 : 1618964402
Total Pages : 239 pages
Book Rating : 4.03/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Modeling of Discontinuous Processes written by Andrey Antonov and published by Scientific Research Publishing, Inc. USA. This book was released on 2017-12-19 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Daniele Antonio Di Pietro
Publisher : Springer Science & Business Media
ISBN 13 : 3642229808
Total Pages : 392 pages
Book Rating : 4.00/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Aspects of Discontinuous Galerkin Methods written by Daniele Antonio Di Pietro and published by Springer Science & Business Media. This book was released on 2011-11-03 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Xavier J.R. Avula
Publisher : Elsevier
ISBN 13 : 1483190595
Total Pages : 1023 pages
Book Rating : 4.94/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Modelling in Science and Technology written by Xavier J.R. Avula and published by Elsevier. This book was released on 2014-05-09 with total page 1023 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Vít Dolejší
Publisher : Springer
ISBN 13 : 3319192671
Total Pages : 572 pages
Book Rating : 4.73/5 ( download)

DOWNLOAD NOW!

Download or read book Discontinuous Galerkin Method written by Vít Dolejší and published by Springer. This book was released on 2015-07-17 with total page 572 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subject of the book is the mathematical theory of the discontinuous Galerkin method (DGM), which is a relatively new technique for the numerical solution of partial differential equations. The book is concerned with the DGM developed for elliptic and parabolic equations and its applications to the numerical simulation of compressible flow. It deals with the theoretical as well as practical aspects of the DGM and treats the basic concepts and ideas of the DGM, as well as the latest significant findings and achievements in this area. The main benefit for readers and the book’s uniqueness lie in the fact that it is sufficiently detailed, extensive and mathematically precise, while at the same time providing a comprehensible guide through a wide spectrum of discontinuous Galerkin techniques and a survey of the latest efficient, accurate and robust discontinuous Galerkin schemes for the solution of compressible flow.

Author : Samuel L. S. Jacoby
Publisher : Prentice Hall
ISBN 13 :
Total Pages : 312 pages
Book Rating : 4.91/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Modeling with Computers written by Samuel L. S. Jacoby and published by Prentice Hall. This book was released on 1980 with total page 312 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book is a guide for builders and users of computer implemented mathematical models." -- Preface.

Author : Mike R. Jeffrey
Publisher : Springer
ISBN 13 : 3030021076
Total Pages : 521 pages
Book Rating : 4.78/5 ( download)

DOWNLOAD NOW!

Download or read book Hidden Dynamics written by Mike R. Jeffrey and published by Springer. This book was released on 2018-12-11 with total page 521 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Author : Beatrice Riviere
Publisher : SIAM
ISBN 13 : 089871656X
Total Pages : 201 pages
Book Rating : 4.66/5 ( download)

DOWNLOAD NOW!

Download or read book Discontinuous Galerkin Methods for Solving Elliptic and Parabolic Equations written by Beatrice Riviere and published by SIAM. This book was released on 2008-12-18 with total page 201 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on three primal DG methods, covering both theory and computation, and providing the basic tools for analysis.

Author : Roland Glowinski
Publisher : Springer Science & Business Media
ISBN 13 : 1402087586
Total Pages : 294 pages
Book Rating : 4.85/5 ( download)

DOWNLOAD NOW!

Download or read book Partial Differential Equations written by Roland Glowinski and published by Springer Science & Business Media. This book was released on 2008-06-26 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: For more than 250 years partial di?erential equations have been clearly the most important tool available to mankind in order to understand a large variety of phenomena, natural at ?rst and then those originating from - man activity and technological development. Mechanics, physics and their engineering applications were the ?rst to bene?t from the impact of partial di?erential equations on modeling and design, but a little less than a century ago the Schr ̈ odinger equation was the key opening the door to the application of partial di?erential equations to quantum chemistry, for small atomic and molecular systems at ?rst, but then for systems of fast growing complexity. The place of partial di?erential equations in mathematics is a very particular one: initially, the partial di?erential equations modeling natural phenomena were derived by combining calculus with physical reasoning in order to - press conservation laws and principles in partial di?erential equation form, leading to the wave equation, the heat equation, the equations of elasticity, the Euler and Navier–Stokes equations for ?uids, the Maxwell equations of electro-magnetics, etc. It is in order to solve ‘constructively’ the heat equation that Fourier developed the series bearing his name in the early 19th century; Fourier series (and later integrals) have played (and still play) a fundamental roleinbothpureandappliedmathematics,includingmanyareasquiteremote from partial di?erential equations. On the other hand, several areas of mathematics such as di?erential ge- etry have bene?ted from their interactions with partial di?erential equations.

Author : Tuncer I. Ören
Publisher : Springer Science & Business Media
ISBN 13 : 3642821448
Total Pages : 644 pages
Book Rating : 4.48/5 ( download)

DOWNLOAD NOW!

Download or read book Simulation and Model-Based Methodologies: An Integrative View written by Tuncer I. Ören and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: NATO Advanced Institute Ottawa, Ontario/ Canada, July 26 - August 6, 1982

Author : Albert C.J. Luo
Publisher : Springer
ISBN 13 : 3319266306
Total Pages : 205 pages
Book Rating : 4.05/5 ( download)

DOWNLOAD NOW!

Download or read book Mathematical Modeling and Applications in Nonlinear Dynamics written by Albert C.J. Luo and published by Springer. This book was released on 2016-01-28 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book covers nonlinear physical problems and mathematical modeling, including molecular biology, genetics, neurosciences, artificial intelligence with classical problems in mechanics and astronomy and physics. The chapters present nonlinear mathematical modeling in life science and physics through nonlinear differential equations, nonlinear discrete equations and hybrid equations. Such modeling can be effectively applied to the wide spectrum of nonlinear physical problems, including the KAM (Kolmogorov-Arnold-Moser (KAM)) theory, singular differential equations, impulsive dichotomous linear systems, analytical bifurcation trees of periodic motions, and almost or pseudo- almost periodic solutions in nonlinear dynamical systems.