Some Aspects Of The Optimal Control Of Distributed Parameter Systems Based On Lectures Given At The National Science Foundation Regional Conference On Control Theory Conference Board Of The Mathematical Sciences Regional Conference Series In Applied Mathematics
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Some Aspects Of The Optimal Control Of Distributed Parameter Systems
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Author : J. L. Lions
language : en
Publisher: SIAM
Release Date : 1972-01-01
Some Aspects Of The Optimal Control Of Distributed Parameter Systems written by J. L. Lions and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1972-01-01 with Mathematics categories.
The applications of the theory of Optimal Control of distributed parameters is an extremely wide field and, although a large number of questions remain open, the whole subject continues to expand very rapidly. The author does not attempt to cover the field but does discuss a number of the more interesting areas of application.
Computational Methods In Optimal Control
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Author : William H. Hager
language : en
Publisher: SIAM
Release Date : 2025-02-13
Computational Methods In Optimal Control written by William H. Hager and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-02-13 with Mathematics categories.
Using material from many different sources in a systematic and unified way, this self-contained book provides both rigorous mathematical theory and practical numerical insights while developing a framework for determining the convergence rate of discrete approximations to optimal control problems. Elements of the framework include the reference point, the truncation error, and a stability theory for the linearized first-order optimality conditions. Within this framework, the discretized control problem has a stationary point whose distance to the reference point is bounded in terms of the truncation error. The theory applies to a broad range of discretizations and provides completely new insights into the convergence theory for discrete approximations in optimal control, including the relationship between orthogonal collocation and Runge–Kutta methods. Throughout the book, derivatives associated with the discretized control problem are expressed in terms of a back-propagated costate. In particular, the objective derivative of a bang-bang or singular control problem with respect to a switch point of the control are obtained, which leads to the efficient solution of a class of nonsmooth control problems using a gradient-based optimizer. Computational Methods in Optimal Control: Theory and Practice is intended for numerical analysts and computational scientists. Users of the software package GPOPS may find the book useful since the theoretical basis for the GPOPS algorithm is developed within the book. It is appropriate for courses in variational analysis, numerical optimization, and the calculus of variations.
Mathematics Of Genetic Diversity
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Author : J. F. C. Kingman
language : en
Publisher: SIAM
Release Date : 1980-01-01
Mathematics Of Genetic Diversity written by J. F. C. Kingman and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-01-01 with Science categories.
This book draws together some mathematical ideas that are useful in population genetics, concentrating on a few aspects which are both biologically relevant and mathematically interesting.
Fundamentals Of Radar Imaging
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Author : Margaret Cheney
language : en
Publisher: SIAM
Release Date : 2009-01-01
Fundamentals Of Radar Imaging written by Margaret Cheney and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-01-01 with Science categories.
The Linear Sampling Method In Inverse Electromagnetic Scattering
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Author : Fioralba Cakoni
language : en
Publisher: SIAM
Release Date : 2011-01-01
The Linear Sampling Method In Inverse Electromagnetic Scattering written by Fioralba Cakoni and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-01-01 with Mathematics categories.
The linear sampling method is the oldest and most developed of the qualitative methods in inverse scattering theory. It is based on solving a linear integral equation and then using the equation's solution as an indicator function for the determination of the support of the scattering object. This book describes the linear sampling method for a variety of electromagnetic scattering problems. It presents uniqueness theorems and the derivation of various inequalities on the material properties of the scattering object from a knowledge of the far field pattern of the scattered wave.
Reservoir Simulation
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Author : Zhangxin Chen
language : en
Publisher: SIAM
Release Date : 2007-01-01
Reservoir Simulation written by Zhangxin Chen and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-01-01 with Mathematics categories.
This book covers and expands upon material presented by the author at a CBMS-NSF Regional Conference during a ten-lecture series on multiphase flows in porous media and their simulation. It begins with an overview of classical reservoir engineering and basic reservoir simulation methods and then progresses through a discussion of types of flows—single-phase, two-phase, black oil (three-phase), single phase with multicomponents, compositional, and thermal. The author provides a thorough glossary of petroleum engineering terms and their units, along with basic flow and transport equations and their unusual features, and corresponding rock and fluid properties. The practical aspects of reservoir simulation, such as data gathering and analysis, selection of a simulation model, history matching, and reservoir performance prediction, are summarized. Audience This book can be used as a text for advanced undergraduate and first-year graduate students in geology, petroleum engineering, and applied mathematics; as a reference book for geologists, petroleum engineers, and applied mathematicians; or as a handbook for practitioners in the oil industry. Prerequisites are calculus, basic physics, and some knowledge of partial differential equations and matrix algebra.Contents List of Figures; List of Tables; List of Notation; Preface; Introduction; Chapter 1: A Glossary of Petroleum Terms; Chapter 2: Single-Phase Flow and Numerical Solution; Chapter 3: Well Modeling; Chapter 4: Two-Phase Flow and Numerical Solution; Chapter 5: The Black Oil Model and Numerical Solution; Chapter 6: Transport of Multicomponents in a Fluid and Numerical Solution; Chapter 7: Compositional Flow and Numerical Solution; Chapter 8: Nonisothermal Flow and Numerical Solution; Chapter 9: Practical Topics in Reservoir Simulation; Bibliography; Index.
Foundations Of Stochastic Differential Equations In Infinite Dimensional Spaces
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Author : Kiyosi Ito
language : en
Publisher: SIAM
Release Date : 1984-11-01
Foundations Of Stochastic Differential Equations In Infinite Dimensional Spaces written by Kiyosi Ito and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-11-01 with Mathematics categories.
A systematic, self-contained treatment of the theory of stochastic differential equations in infinite dimensional spaces. Included is a discussion of Schwartz spaces of distributions in relation to probability theory and infinite dimensional stochastic analysis, as well as the random variables and stochastic processes that take values in infinite dimensional spaces.
The Numerical Solution Of Elliptic Equations
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Author : Garrett Birkhoff
language : en
Publisher: SIAM
Release Date : 1971-01-01
The Numerical Solution Of Elliptic Equations written by Garrett Birkhoff and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1971-01-01 with Mathematics categories.
A concise survey of the current state of knowledge in 1972 about solving elliptic boundary-value eigenvalue problems with the help of a computer. This volume provides a case study in scientific computing?the art of utilizing physical intuition, mathematical theorems and algorithms, and modern computer technology to construct and explore realistic models of problems arising in the natural sciences and engineering.
Probabilistic Expert Systems
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Author : Glenn Shafer
language : en
Publisher: SIAM
Release Date : 1996-01-01
Probabilistic Expert Systems written by Glenn Shafer and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-01-01 with Computers categories.
This book emphasizes the basic computational principles that make probabilistic reasoning feasible in expert systems.
Methods For Solving Systems Of Nonlinear Equations
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Author : Werner C. Rheinboldt
language : en
Publisher: SIAM
Release Date : 1998-01-01
Methods For Solving Systems Of Nonlinear Equations written by Werner C. Rheinboldt and has been published by SIAM this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-01-01 with Mathematics categories.
This volume discusses the ideas behind non linear equations as well as their theoretical foundations and properties.