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The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. Contents Modulus of continuity of the inverse operator and methods for solving ill-posed problems Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind Tikhonov regularization method Projection-regularization method Inverse heat exchange problems
This book presents the proceedings of the International Conference “Stability, Control, Differential Games” (SCDG2019, September 16 – 20, 2019, Yekaterinburg, Russia), organized by the Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences. Discussing the latest advances in the theory of optimal control, stability theory and differential games, it also demonstrates the application of new techniques and numerical algorithms to solve problems in robotics, mechatronics, power and energy systems, economics and ecology. Further, the book includes fundamental results in control theory, stability theory and differential games presented at the conference, as well as a number of chapters focusing on novel approaches in solving important applied problems in control and optimization. Lastly, it evaluates recent major accomplishments, and forecasts developments in various up-and-coming areas, such as hybrid systems, model predictive control, Hamilton–Jacobi equations and advanced estimation algorithms.
For one-semester courses in labor economics at the undergraduate and graduate levels, this book provides an overview of labor market behavior that emphasizes how theory drives public policy. Modern Labor Economics: Theory and Public Policy, Twelfth Edition gives students a thorough overview of the modern theory of labor market behavior, and reveals how this theory is used to analyze public policy. Designed for students who may not have extensive backgrounds in economics, the text balances theoretical coverage with examples of practical applications that allow students to see concepts in action. Experienced educators for nearly four decades, co-authors Ronald Ehrenberg and Robert Smith believ...
The theory of ill-posed problems originated in an unusual way. As a rule, a new concept is a subject in which its creator takes a keen interest. The concept of ill-posed problems was introduced by Hadamard with the comment that these problems are physically meaningless and not worthy of the attention of serious researchers. Despite Hadamard's pessimistic forecasts, however, his unloved "child" has turned into a powerful theory whose results are used in many fields of pure and applied mathematics. What is the secret of its success? The answer is clear. Ill-posed problems occur everywhere and it is unreasonable to ignore them. Unlike ill-posed problems, inverse problems have no strict mathemat...
This book is devoted to one of the main questions of the theory of extremal problems, namely, to necessary and sufficient extremality conditions. The book consists of four parts. First, the abstract minimization problem with constraints is studied. The next chapter is devoted to one of the most important classes of extremal problems, the optimal control problem. Next, one of the main objects of the calculus of variations is studied, the integral quadratic form. Finally, local properties of smooth nonlinear mappings in a neighborhood of an abnormal point will be discussed. Audience: The book is intended for researchers interested in optimization problems. The book may also be useful for advanced students and postgraduate students.
Join Supertato and the gang for more hilarious supermarket silliness in the bestselling series from picture book superstars, Sue Hendra and Paul Linnet! Meet Supertato! The supermarket superhero with eyes everywhere. It’s Sports Day in the supermarket and all the veggies are in training. Everyone has been practising hard and is ready and raring to go. However, a new competitor joins the event, accompanied by The Evil Pea, and is determined to win all the prizes. Things don’t seem quite right… but will Supertato be able to foil his nemesis’ plan in time? The fabulous character from Sue Hendra and Paul Linnet, the bestselling, award-winning creators of Barry the Fish with Fingers, I Ne...
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
This book presents the proceedings of the 5th International Conference on Electrical, Control & Computer Engineering 2019, held in Kuantan, Pahang, Malaysia, on 29th July 2019. Consisting of two parts, it covers the conferences’ main foci: Part 1 discusses instrumentation, robotics and control, while Part 2 addresses electrical power systems. The book appeals to professionals, scientists and researchers with experience in industry.The conference provided a platform for professionals, scientists and researchers with experience in industry.
This book summarizes the main analytical and numerical results of Carleman estimates. In the analytical part, Carleman estimates for three main types of Partial Differential Equations (PDEs) are derived. In the numerical part, first numerical methods are proposed to solve ill-posed Cauchy problems for both linear and quasilinear PDEs. Next, various versions of the convexification method are developed for a number of Coefficient Inverse Problems.
For all fans of Barry the Fish with Fingers and Norman the Slug with the Silly Shell comes another crazy character for kids to love... Meet Keith. Keith is a cat with a magic hat - or, at least, that's what the other cats think. But when, one day, Keith's hat falls off, it seems that magic is still possible after all!