Differential Models of Hysteresis
Title | Differential Models of Hysteresis PDF eBook |
Author | Augusto Visintin |
Publisher | Springer Science & Business Media |
Pages | 420 |
Release | 2013-06-29 |
Genre | Mathematics |
ISBN | 3662115573 |
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.
Modeling, Identification and Control of Robots
Title | Modeling, Identification and Control of Robots PDF eBook |
Author | W. Khalil |
Publisher | Butterworth-Heinemann |
Pages | 503 |
Release | 2004-07-01 |
Genre | Computers |
ISBN | 0080536611 |
Written by two of Europe's leading robotics experts, this book provides the tools for a unified approach to the modelling of robotic manipulators, whatever their mechanical structure. No other publication covers the three fundamental issues of robotics: modelling, identification and control. It covers the development of various mathematical models required for the control and simulation of robots.·World class authority·Unique range of coverage not available in any other book·Provides a complete course on robotic control at an undergraduate and graduate level
Numerical Models for Differential Problems
Title | Numerical Models for Differential Problems PDF eBook |
Author | Alfio Quarteroni |
Publisher | Springer Science & Business |
Pages | 668 |
Release | 2014-04-25 |
Genre | Mathematics |
ISBN | 8847055229 |
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.
Differential Models
Title | Differential Models PDF eBook |
Author | Alexander Solodov |
Publisher | Springer Science & Business Media |
Pages | 252 |
Release | 2005 |
Genre | Mathematics |
ISBN | 9783540208525 |
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.
Nonstandard Finite Difference Models of Differential Equations
Title | Nonstandard Finite Difference Models of Differential Equations PDF eBook |
Author | Ronald E. Mickens |
Publisher | World Scientific |
Pages | 264 |
Release | 1994 |
Genre | Mathematics |
ISBN | 9810214588 |
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.
Differential Models And Neutral Systems For Controlling The Wealth Of Nations
Title | Differential Models And Neutral Systems For Controlling The Wealth Of Nations PDF eBook |
Author | Ethelbert Nwakuche Chukwu |
Publisher | World Scientific |
Pages | 537 |
Release | 2000-12-29 |
Genre | Mathematics |
ISBN | 9814492639 |
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.
A Compendium of Partial Differential Equation Models
Title | A Compendium of Partial Differential Equation Models PDF eBook |
Author | William E. Schiesser |
Publisher | Cambridge University Press |
Pages | 491 |
Release | 2009-03-16 |
Genre | Computers |
ISBN | 0521519861 |
Presents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.