From the Publisher: Flow control and optimization has been an important part of experimental flow science throughout the last century. As research in computational fluid dynamics (CFD) matured, CFD codes were routinel...
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ISBN:
(数字)9780898718720
ISBN:
(纸本)9780898715279
From the Publisher: Flow control and optimization has been an important part of experimental flow science throughout the last century. As research in computational fluid dynamics (CFD) matured, CFD codes were routinely used for the simulation of fluid flows. Subsequently, mathematicians and engineers began examining the use of CFD algorithms and codes for optimization and control problems for fluid flows. The marriage of mature CFD methodologies with state-of-the-art optimization methods has become the center of activity in computational flow control and optimization. Perspectives in Flow control and Optimization presents flow control and optimization as a subdiscipline of computational mathematics and computational engineering. It introduces the development and analysis of several approaches for solving flow control and optimization problems through the use of modern CFD and optimization methods. The author discusses many of the issues that arise in the practical implementation of algorithms for flow control and optimization, such as choices to be made and difficulties to overcome. He provides the reader with a clear idea of what types of flow control and optimization problems can be solved, how to develop effective algorithms for solving such problems, and potential problems to be aware of when implementing the algorithms. This book is written for both those new to the field of control and optimization as well as experienced practitioners, including engineers, applied mathematicians, and scientists interested in computational methods for flow control and optimization. Both those interested in developing new algorithms and those interested in the application of existing algorithms should find useful information in this book. Readers with a solid background in calculus and only slight familiarity with partial differential equations should find the book easy to understand. Knowledge of fluid mechanics, computational fluid dynamics, calculus of variations, control the
Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy...
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ISBN:
(数字)9780898718713
ISBN:
(纸本)9780898715293
Mathematical models are used to simulate, and sometimes control, the behavior of physical and artificial processes such as the weather and very large-scale integration (VLSI) circuits. The increasing need for accuracy has led to the development of highly complex models. However, in the presence of limited computational, accuracy, and storage capabilities, model reduction (system approximation) is often necessary. Approximation of Large-Scale Dynamical Systems provides a comprehensive picture of model reduction, combining system theory with numerical linear algebra and computational considerations. It addresses the issue of model reduction and the resulting trade-offs between accuracy and complexity. Special attention is given to numerical aspects, simulation questions, and practical applications.
This is quite possibly the first book on practical methods that combines nonlinear optimization, mathematical control theory, and numerical solution of ordinary differential or differential-algebraic equations to succ...
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ISBN:
(纸本)0898714885
This is quite possibly the first book on practical methods that combines nonlinear optimization, mathematical control theory, and numerical solution of ordinary differential or differential-algebraic equations to successfully solve optimal control problems. The focus of the book is on practical methods, i.e., methods that the author has found to actually work. Everything described in the book has been implemented in production software and used to solve real problems. The author's general discussion of the topic maintains a focused and concise presentation. Using modern computational methods based on nonlinear programming algorithms, he introduces the basic material necessary to solve an optimal control problem. There are two major parts of a successful optimal control solution technique. The first part is the optimization method. The second part is the differential equation method. Betts's goal is to suggest that methods used to solve differential equations and optimize the functions are intimately related.
Reviews the state-of-the-art in computer aided control systems design. The author considers the impact of commercial advances; reviews the framework reference model's place in the new market place and assesses the...
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Reviews the state-of-the-art in computer aided control systems design. The author considers the impact of commercial advances; reviews the framework reference model's place in the new market place and assesses the impact of recent technological developments.
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