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Differential Models
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Book Synopsis Numerical Models for Differential Problems by : Alfio Quarteroni
Download or read book Numerical Models for Differential Problems written by Alfio Quarteroni and published by Springer Science & Business. This book was released on 2014-04-25 with total page 668 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this text, we introduce the basic concepts for the numerical modelling of partial differential equations. We consider the classical elliptic, parabolic and hyperbolic linear equations, but also the diffusion, transport, and Navier-Stokes equations, as well as equations representing conservation laws, saddle-point problems and optimal control problems. Furthermore, we provide numerous physical examples which underline such equations. We then analyze numerical solution methods based on finite elements, finite differences, finite volumes, spectral methods and domain decomposition methods, and reduced basis methods. In particular, we discuss the algorithmic and computer implementation aspects and provide a number of easy-to-use programs. The text does not require any previous advanced mathematical knowledge of partial differential equations: the absolutely essential concepts are reported in a preliminary chapter. It is therefore suitable for students of bachelor and master courses in scientific disciplines, and recommendable to those researchers in the academic and extra-academic domain who want to approach this interesting branch of applied mathematics.
Book Synopsis Differential Models of Hysteresis by : Augusto Visintin
Download or read book Differential Models of Hysteresis written by Augusto Visintin and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Hysteresis effects occur in science and engineering: plasticity, ferromagnetism, ferroelectricity are well-known examples. This volume provides a self-contained and comprehensive introduction to the analysis of hysteresis models, and illustrates several new results in this field.
Book Synopsis Differential Models by : Alexander Solodov
Download or read book Differential Models written by Alexander Solodov and published by Springer Science & Business Media. This book was released on 2005 with total page 252 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential equations are often used in mathematical models for technological processes or devices. However, the design of a differential mathematical model iscrucial anddifficult in engineering. As a hands-on approach to learn how to pose a differential mathematical modelthe authors have selected 9 examples with important practical application and treat them as following:- Problem-setting and physical model formulation- Designing the differential mathematical model- Integration of the differential equations- Visualization of results Each step of the development ofa differential model isenriched by respective Mathcad 11commands, todays necessary linkage of engineering significance and high computing complexity. TOC:Differential Mathematical Models.- Integrable Differential Equations.- Dynamic Model of the System with Heat Engineering.- Stiff Differential Equations.- Heat Transfer near the Critical Point.- The Faulkner- Skan Equation of Boundary Layer.- The Rayleigh Equation: Hydronamic Instability.- Kinematic Waves of Concentration in Ion- Exchange Filters.- Kinematic Shock Waves.- Numerical Modelling of the CPU-board Temperature Field.- Temperature Waves.
Book Synopsis Constraint Reasoning for Differential Models by : Jorge Cruz
Download or read book Constraint Reasoning for Differential Models written by Jorge Cruz and published by IOS Press. This book was released on 2005 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focuses on the integration of ordinary differential equations within the interval constraints framework, which for this purpose is extended with the formalism of Constraint Satisfaction Differential Problems. Such a framework allows the specification of ordinary differential equations by means of constraints.
Book Synopsis Nonstandard Finite Difference Models of Differential Equations by : Ronald E. Mickens
Download or read book Nonstandard Finite Difference Models of Differential Equations written by Ronald E. Mickens and published by World Scientific. This book was released on 1994 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear summary of the work of the author on the construction of nonstandard finite difference schemes for the numerical integration of differential equations. The major thrust of the book is to show that discrete models of differential equations exist such that the elementary types of numerical instabilities do not occur. A consequence of this result is that in general bigger step-sizes can often be used in actual calculations and/or finite difference schemes can be constructed that are conditionally stable in many instances whereas in using standard techniques no such schemes exist. The theoretical basis of this work is centered on the concepts of ?exact? and ?best? finite difference schemes. In addition, a set of rules is given for the discrete modeling of derivatives and nonlinear expressions that occur in differential equations. These rules often lead to a unique nonstandard finite difference model for a given differential equation.
Book Synopsis Differential Models And Neutral Systems For Controlling The Wealth Of Nations by : Chukwu Ethelbert Nwakuche
Download or read book Differential Models And Neutral Systems For Controlling The Wealth Of Nations written by Chukwu Ethelbert Nwakuche and published by World Scientific. This book was released on 2000-12-29 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph derives from familiar economic principles the dynamics of national income, the interest rate, employment, the value of capital stock, prices, and the cumulative balance of payments. This is a Volterra neutral integrodifferential game of pursuit. The quarry control is government intervention in the form of taxation, control of money supply, tariffs, foreign credit, interest equalization tax, preferential trade agreements (which reduce trade barriers and enhance trade flows between nations), transportation and distance between trading partners. The pursuer controls include wages and productivity. The book provides conditions for controllability and then deduces how big government intervention (compared with private firms' contributions) should be to ensure the possibility of growth.The reader is assumed to be familiar with advanced calculus and to have a working knowledge of ordinary differential equations. The required theory of hereditary systems can be obtained from the book itself.
Book Synopsis A Compendium of Partial Differential Equation Models by : William E. Schiesser
Download or read book A Compendium of Partial Differential Equation Models written by William E. Schiesser and published by Cambridge University Press. This book was released on 2009-03-16 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Book Synopsis Differential Equations as Models in Science and Engineering by : Gregory Baker
Download or read book Differential Equations as Models in Science and Engineering written by Gregory Baker and published by World Scientific Publishing Company. This book was released on 2016-07-25 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.
Book Synopsis Generalized Fractional Order Differential Equations Arising in Physical Models by : Santanu Saha Ray
Download or read book Generalized Fractional Order Differential Equations Arising in Physical Models written by Santanu Saha Ray and published by CRC Press. This book was released on 2018-11-13 with total page 191 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book analyzes the various semi-analytical and analytical methods for finding approximate and exact solutions of fractional order partial differential equations. It explores approximate and exact solutions obtained by various analytical methods for fractional order partial differential equations arising in physical models.
Book Synopsis Differential Equations by : Paul W. Davis
Download or read book Differential Equations written by Paul W. Davis and published by . This book was released on 2009 with total page 685 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Modeling Information Diffusion in Online Social Networks with Partial Differential Equations by : Haiyan Wang
Download or read book Modeling Information Diffusion in Online Social Networks with Partial Differential Equations written by Haiyan Wang and published by Springer Nature. This book was released on 2020-03-16 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book lies at the interface of mathematics, social media analysis, and data science. Its authors aim to introduce a new dynamic modeling approach to the use of partial differential equations for describing information diffusion over online social networks. The eigenvalues and eigenvectors of the Laplacian matrix for the underlying social network are used to find communities (clusters) of online users. Once these clusters are embedded in a Euclidean space, the mathematical models, which are reaction-diffusion equations, are developed based on intuitive social distances between clusters within the Euclidean space. The models are validated with data from major social media such as Twitter. In addition, mathematical analysis of these models is applied, revealing insights into information flow on social media. Two applications with geocoded Twitter data are included in the book: one describing the social movement in Twitter during the Egyptian revolution in 2011 and another predicting influenza prevalence. The new approach advocates a paradigm shift for modeling information diffusion in online social networks and lays the theoretical groundwork for many spatio-temporal modeling problems in the big-data era.
Book Synopsis Nonlinear Differential Equations of Monotone Types in Banach Spaces by : Viorel Barbu
Download or read book Nonlinear Differential Equations of Monotone Types in Banach Spaces written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 2010-01-01 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph is concerned with the basic results on Cauchy problems associated with nonlinear monotone operators in Banach spaces with applications to partial differential equations of evolutive type. It focuses on major results in recent decades.
Download or read book Farm Implement News written by and published by . This book was released on 1922 with total page 862 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Chilton Tractor & Implement Journal by :
Download or read book Chilton Tractor & Implement Journal written by and published by . This book was released on 1922 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Chilton's Motor Age written by and published by . This book was released on 1922 with total page 1178 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Analysis, Modeling and Stability of Fractional Order Differential Systems 1 by : Jean-Claude Trigeassou
Download or read book Analysis, Modeling and Stability of Fractional Order Differential Systems 1 written by Jean-Claude Trigeassou and published by John Wiley & Sons. This book was released on 2019-09-11 with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces an original fractional calculus methodology (‘the infinite state approach’) which is applied to the modeling of fractional order differential equations (FDEs) and systems (FDSs). Its modeling is based on the frequency distributed fractional integrator, while the resulting model corresponds to an integer order and infinite dimension state space representation. This original modeling allows the theoretical concepts of integer order systems to be generalized to fractional systems, with a particular emphasis on a convolution formulation.
Download or read book Scientific American written by and published by . This book was released on 1921 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monthly magazine devoted to topics of general scientific interest.
