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Numerical Solution of Elliptic Problems
  • Language: en
  • Pages: 326

Numerical Solution of Elliptic Problems

  • Type: Book
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  • Published: 1984-01-01
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  • Publisher: SIAM

A study of the art and science of solving elliptic problems numerically, with an emphasis on problems that have important scientific and engineering applications, and that are solvable at moderate cost on computing machines.

Differential Equations
  • Language: en
  • Pages: 996

Differential Equations

  • Type: Book
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  • Published: 2017-11-22
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  • Publisher: Routledge

Presents recent developments in the areas of differential equations, dynamical systems, and control of finke and infinite dimensional systems. Focuses on current trends in differential equations and dynamical system research-from Darameterdependence of solutions to robui control laws for inflnite dimensional systems.

Lectures in Modern Analysis and Applications III
  • Language: en
  • Pages: 223

Lectures in Modern Analysis and Applications III

  • Type: Book
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  • Published: 2006-11-14
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  • Publisher: Springer

This lecture series was presented by a consortium of universities in conjunction with the U.S. Air Force Office of Scientific Research during the period 1967-1969 in Washington, D.C. and at the University of Maryland. The series of lectures was devoted to active basic areas of contemporary analysis which is important in or shows potential in real-world applications. Each lecture presents a survey and critical review of aspects of the specific area addressed, with emphasis on new results, open problems, and applications. This volume contains five lectures in the series.

Applied Mechanics Reviews
  • Language: en
  • Pages: 1360

Applied Mechanics Reviews

  • Type: Book
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  • Published: 1991
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  • Publisher: Unknown

None

Control and Nonlinearity
  • Language: en
  • Pages: 442

Control and Nonlinearity

This book presents methods to study the controllability and the stabilization of nonlinear control systems in finite and infinite dimensions. The emphasis is put on specific phenomena due to nonlinearities. In particular, many examples are given where nonlinearities turn out to be essential to get controllability or stabilization. Various methods are presented to study the controllability or to construct stabilizing feedback laws. The power of these methods is illustrated by numerous examples coming from such areas as celestial mechanics, fluid mechanics, and quantum mechanics. The book is addressed to graduate students in mathematics or control theory, and to mathematicians or engineers with an interest in nonlinear control systems governed by ordinary or partial differential equations.

Nonlinear Systems of Partial Differential Equations in Applied Mathematics
  • Language: en
  • Pages: 490

Nonlinear Systems of Partial Differential Equations in Applied Mathematics

These two volumes of 47 papers focus on the increased interplay of theoretical advances in nonlinear hyperbolic systems, completely integrable systems, and evolutionary systems of nonlinear partial differential equations. The papers both survey recent results and indicate future research trends in these vital and rapidly developing branches of PDEs. The editor has grouped the papers loosely into the following five sections: integrable systems, hyperbolic systems, variational problems, evolutionary systems, and dispersive systems. However, the variety of the subjects discussed as well as their many interwoven trends demonstrate that it is through interactive advances that such rapid progress has occurred. These papers require a good background in partial differential equations. Many of the contributors are mathematical physicists, and the papers are addressed to mathematical physicists (particularly in perturbed integrable systems), as well as to PDE specialists and applied mathematicians in general.

Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1
  • Language: en
  • Pages: 494

Nonlinear Systems of Partial Differential Equations in Applied Mathematics, Part 1

Focusing on the increased interplay of theoretical advances in nonlinear hyperbolic systems, completely integrable systems, and evolutionary systems of nonlinear partial differential equations, this title contains papers grouped in sections: integrable systems, hyperbolic systems, variational problems, evolutionary systems, and dispersive systems.

Scientific and Technical Aerospace Reports
  • Language: en
  • Pages: 312

Scientific and Technical Aerospace Reports

  • Type: Book
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  • Published: 1992
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  • Publisher: Unknown

None

Linear Stochastic Control Systems
  • Language: en
  • Pages: 404

Linear Stochastic Control Systems

  • Type: Book
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  • Published: 1995-07-12
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  • Publisher: CRC Press

Linear Stochastic Control Systems presents a thorough description of the mathematical theory and fundamental principles of linear stochastic control systems. Both continuous-time and discrete-time systems are thoroughly covered. Reviews of the modern probability and random processes theories and the Itô stochastic differential equations are provided. Discrete-time stochastic systems theory, optimal estimation and Kalman filtering, and optimal stochastic control theory are studied in detail. A modern treatment of these same topics for continuous-time stochastic control systems is included. The text is written in an easy-to-understand style, and the reader needs only to have a background of elementary real analysis and linear deterministic systems theory to comprehend the subject matter. This graduate textbook is also suitable for self-study, professional training, and as a handy research reference. Linear Stochastic Control Systems is self-contained and provides a step-by-step development of the theory, with many illustrative examples, exercises, and engineering applications.

Modeling and Control in Vibrational and Structural Dynamics
  • Language: en
  • Pages: 418

Modeling and Control in Vibrational and Structural Dynamics

  • Type: Book
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  • Published: 2011-07-06
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  • Publisher: CRC Press

With numerous examples and exercises throughout, this book describes the control behavior of mechanical objects, such as wave equations, plates, and shells. It presents a complete and up-to-date account of many important advances in the modeling and control of vibrational and structural dynamics. The text applies the differential geometric approach to waves, plates, shells, and quasilinear systems and describes differential geometric energy methods that are generalizations of classical energy methods. To make the book self-contained, the author gives an introduction to Riemannian geometry.