Nonlinear Ordinary Differential Equations in Transport Processes PDF Download

Author: W. F. Ames
Publisher: Academic Press
ISBN: 0080955509
Category : Computers
Languages : en
Pages : 282

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Book Description
Nonlinear Ordinary Differential Equations in Transport Processes

Author: William F. Ames
Publisher:
ISBN:
Category : Differential equations, Nonlinear
Languages : en
Pages : 265

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Book Description

Author: C. A. Silebi
Publisher: Elsevier
ISBN: 0080925820
Category : Science
Languages : en
Pages : 518

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Book Description
This book presents a methodology for the development and computer implementation of dynamic models for transport process systems. Rather than developing the general equations of transport phenomena, it develops the equations required specifically for each new example application. These equations are generally of two types: ordinary differential equations (ODEs) and partial differential equations (PDEs) for which time is an independent variable. The computer-based methodology presented is general purpose and can be applied to most applications requiring the numerical integration of initial-value ODEs/PDEs. A set of approximately two hundred applications of ODEs and PDEs developed by the authors are listed in Appendix 8.

Author: William F. Ames
Publisher:
ISBN:
Category :
Languages : en
Pages :

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Book Description

Author: William Francis Ames
Publisher:
ISBN:
Category :
Languages : en
Pages : 265

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Book Description

Author: Dominic William Jordan
Publisher: Oxford University Press, USA
ISBN: 9780198565628
Category : Mathematics
Languages : en
Pages : 564

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Book Description
This edition has been completely revised to bring it into line with current teaching, including an expansion of the material on bifurcations and chaos.

Author: Dominic Jordan
Publisher: OUP Oxford
ISBN: 0191525995
Category : Mathematics
Languages : en
Pages : 540

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Book Description
This is a thoroughly updated and expanded 4th edition of the classic text Nonlinear Ordinary Differential Equations by Dominic Jordan and Peter Smith. Including numerous worked examples and diagrams, further exercises have been incorporated into the text and answers are provided at the back of the book. Topics include phase plane analysis, nonlinear damping, small parameter expansions and singular perturbations, stability, Liapunov methods, Poincare sequences, homoclinic bifurcation and Liapunov exponents. Over 500 end-of-chapter problems are also included and as an additional resource fully-worked solutions to these are provided in the accompanying text Nonlinear Ordinary Differential Equations: Problems and Solutions, (OUP, 2007). Both texts cover a wide variety of applications whilst keeping mathematical prequisites to a minimum making these an ideal resource for students and lecturers in engineering, mathematics and the sciences.

Author:
Publisher: Academic Press
ISBN: 9780080955834
Category : Mathematics
Languages : en
Pages : 322

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Book Description
In this book, we study theoretical and practical aspects of computing methods for mathematical modelling of nonlinear systems. A number of computing techniques are considered, such as methods of operator approximation with any given accuracy; operator interpolation techniques including a non-Lagrange interpolation; methods of system representation subject to constraints associated with concepts of causality, memory and stationarity; methods of system representation with an accuracy that is the best within a given class of models; methods of covariance matrix estimation; methods for low-rank matrix approximations; hybrid methods based on a combination of iterative procedures and best operator approximation; and methods for information compression and filtering under condition that a filter model should satisfy restrictions associated with causality and different types of memory. As a result, the book represents a blend of new methods in general computational analysis, and specific, but also generic, techniques for study of systems theory ant its particular branches, such as optimal filtering and information compression. - Best operator approximation, - Non-Lagrange interpolation, - Generic Karhunen-Loeve transform - Generalised low-rank matrix approximation - Optimal data compression - Optimal nonlinear filtering

Author:
Publisher:
ISBN:
Category : Weights and measures
Languages : en
Pages : 1152

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Book Description

Author: Panagiotis D. Christofides
Publisher: Springer Science & Business Media
ISBN: 1461201853
Category : Science
Languages : en
Pages : 251

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Book Description
The interest in control of nonlinear partial differential equation (PDE) sys tems has been triggered by the need to achieve tight distributed control of transport-reaction processes that exhibit highly nonlinear behavior and strong spatial variations. Drawing from recent advances in dynamics of PDE systems and nonlinear control theory, control of nonlinear PDEs has evolved into a very active research area of systems and control. This book the first of its kind- presents general methods for the synthesis of nonlinear and robust feedback controllers for broad classes of nonlinear PDE sys tems and illustrates their applications to transport-reaction processes of industrial interest. Specifically, our attention focuses on quasi-linear hyperbolic and parabolic PDE systems for which the manipulated inputs and measured and controlled outputs are distributed in space and bounded. We use geometric and Lyapunov-based control techniques to synthesize nonlinear and robust controllers that use a finite number of measurement sensors and control actuators to achieve stabilization of the closed-loop system, output track ing, and attenuation of the effect of model uncertainty. The controllers are successfully applied to numerous convection-reaction and diffusion-reaction processes, including a rapid thermal chemical vapor deposition reactor and a Czochralski crystal growth process. The book includes comparisons of the proposed nonlinear and robust control methods with other approaches and discussions of practical implementation issues.