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Author: Augusto Visintin
Publisher: Springer Science & Business Media
Published: 2013-06-29
Total Pages: 420
ISBN-13: 3662115573
DOWNLOAD EBOOKHysteresis 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.
Author: Alfio Quarteroni
Publisher: Springer Science & Business
Published: 2014-04-25
Total Pages: 668
ISBN-13: 8847055229
DOWNLOAD EBOOKIn 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.
Author: Alexander Solodov
Publisher: Springer Science & Business Media
Published: 2005
Total Pages: 252
ISBN-13: 9783540208525
DOWNLOAD EBOOKDifferential 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.
Author: Ethelbert Nwakuche Chukwu
Publisher: World Scientific
Published: 2000-12-29
Total Pages: 537
ISBN-13: 9814492639
DOWNLOAD EBOOKThis 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.
Author: Glenn Fulford
Publisher: Cambridge University Press
Published: 1997-06-12
Total Pages: 420
ISBN-13: 9780521446181
DOWNLOAD EBOOKAny student wishing to solve problems via mathematical modelling will find that this book provides an excellent introduction to the subject.
Author: Jorge Cruz
Publisher: IOS Press
Published: 2005
Total Pages: 244
ISBN-13: 1586035320
DOWNLOAD EBOOKFocuses 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.
Author: Ronald E. Mickens
Publisher: World Scientific
Published: 1994
Total Pages: 264
ISBN-13: 9810214588
DOWNLOAD EBOOKThis 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.
Author: W. Khalil
Publisher: Butterworth-Heinemann
Published: 2004-07-01
Total Pages: 503
ISBN-13: 0080536611
DOWNLOAD EBOOKWritten 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
Author: William E. Schiesser
Publisher: Cambridge University Press
Published: 2009-03-16
Total Pages: 491
ISBN-13: 0521519861
DOWNLOAD EBOOKPresents numerical methods and computer code in Matlab for the solution of ODEs and PDEs with detailed line-by-line discussion.
Author: Gregory Richard Baker
Publisher: World Scientific Publishing Company
Published: 2016-07-25
Total Pages: 391
ISBN-13: 9814656992
DOWNLOAD EBOOKThis 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.
