Nonlinear Differential Equations of Chemically Rating Systems PDF Download
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Author: George R. Gavalas
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
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Book Description
Author: George R. Gavalas
Publisher:
ISBN:
Category :
Languages : en
Pages : 106
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Book Description
Author: George R. Gavalas
Publisher: Springer Science & Business Media
ISBN: 3642876439
Category : Mathematics
Languages : en
Pages : 116
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Book Description
In recent years considerable interest has developed in the mathe matical analysis of chemically reacting systems both in the absence and in the presence of diffusion. Earlier work has been limited to simple problems amenable to closed form solutions, but now the computer permits the numerical solution of complex systems of nonlinear differ ential equations. The numerical approach provides quantitative infor mation, but for practical reasons it must be limited to a rather narrow range of the parameters of the problem. Consequently, it is desirable to obtain broader qualitative information about the solutions by in vestigating from a more fundamental mathematical point of view the structure of the differential equations. This theoretical approach can actually complement and guide the computational approach by narrow ing down trial and error procedures, pinpointing singularities and suggesting methods for handling them. The study of the structure of the differential equations may also clarify some physical principles and suggest new experiments. A serious limitation ofthe theoretical approach is that many of the results obtained, such as the sufficient conditions for the stability of the steady state, turn out to be very conservative. Thus the theoretical and computational approaches are best used to gether for the purpose of understanding, designing, and controlling chemically reacting systems. The present monograph is intended as a contribution to the theory of the differential equations describing chemically reacting systems.
Author: Gavalas GR.
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Aditya Kumar
Publisher: CRC Press
ISBN: 1000117219
Category : Mathematics
Languages : en
Pages : 175
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Book Description
The feedback control of nonlinear differential and algebraic equation systems (DAEs) is a relatively new subject. Developing steadily over the last few years, it has generated growing interest inspired by its engineering applications and by advances in the feedback control of nonlinear ordinary differential equations (ODEs). This book-the first of its kind-introduces the reader to the inherent characteristics of nonlinear DAE systems and the methods used to address their control, then discusses the significance of DAE systems to the modeling and control of chemical processes. Within a unified framework, Control of Nonlinear Differential Algebraic Equation Systems presents recent results on the stabilization, output tracking, and disturbance elimination for a large class of nonlinear DAE systems. Written at a basic mathematical level-assuming some familiarity with analysis and control of nonlinear ODEs-the authors focus on continuous-time systems of differential and algebraic equations in semi-explicit form. Beginning with background material about DAE systems and their differences from ODE systems, the book discusses generic classes of chemical processes, feedback control of regular and non-regular DAE systems, control of systems with disturbance inputs, the connection of the DAE systems considered with singularly perturbed systems, and finally offers examples that illustrate the application of control methods and the advantages of using high-index DAE models as the basis for controller design. Mathematicians and engineers will find that this book provides unique, timely results that also clearly documents the relevance of DAE systems to chemical processes.
Author: G. R. Gavalas
Publisher:
ISBN:
Category :
Languages : en
Pages : 108
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Book Description
Author: George R. Gavalas
Publisher:
ISBN:
Category :
Languages : de
Pages :
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Book Description
Author: George R. Gavalas
Publisher:
ISBN:
Category : Chemical kinetics
Languages : en
Pages : 106
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Book Description
![Nonlinear Differential Equations of Chemically Reacting Systems [by] George R.G. Gavalas PDF](https://books.google.com/books/content/images/frontcover/ppQ1cgAACAAJ?fife=w80-h100)
Author: George R. Gavalas
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 106
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Book Description
Author: George R. Gavalas
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: R. Grimshaw
Publisher: Routledge
ISBN: 135142808X
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Ordinary differential equations have long been an important area of study because of their wide application in physics, engineering, biology, chemistry, ecology, and economics. Based on a series of lectures given at the Universities of Melbourne and New South Wales in Australia, Nonlinear Ordinary Differential Equations takes the reader from basic elementary notions to the point where the exciting and fascinating developments in the theory of nonlinear differential equations can be understood and appreciated. Each chapter is self-contained, and includes a selection of problems together with some detailed workings within the main text. Nonlinear Ordinary Differential Equations helps develop an understanding of the subtle and sometimes unexpected properties of nonlinear systems and simultaneously introduces practical analytical techniques to analyze nonlinear phenomena. This excellent book gives a structured, systematic, and rigorous development of the basic theory from elementary concepts to a point where readers can utilize ideas in nonlinear differential equations.
