Ill-posed Variational Problems and Regularization Techniques, Michel Thera; Rainer Tichatschke

Автор: S.F. Gilyazov; N.L. Gol`dman
Название: Regularization of Ill-Posed Problems by Iteration Methods
ISBN: 9048153824 ISBN-13(EAN): 9789048153824
Издательство: Springer
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Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.

Автор: S.F. Gilyazov; N.L. Gol`dman
Название: Regularization of Ill-Posed Problems by Iteration Methods
ISBN: 0792361318 ISBN-13(EAN): 9780792361312
Издательство: Springer
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Описание: Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems.

Автор: Roberto Lucchetti; Julian Revalski
Название: Recent Developments in Well-Posed Variational Problems
ISBN: 0792335767 ISBN-13(EAN): 9780792335764
Издательство: Springer
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Описание: The increasing complexity of mathematical models, and the related need to introduce simplifying assumptions and numerical approximations, has led to the need to consider approximate solutions. This book is intended for researchers and graduate students studying variational problems, nonlinear analysis, optimization, and game theory.

Автор: Adrian Doicu; Thomas Trautmann; Franz Schreier
Название: Numerical Regularization for Atmospheric Inverse Problems
ISBN: 3642424015 ISBN-13(EAN): 9783642424014
Издательство: Springer
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Описание: Written by brilliant mathematicians, this research monograph presents and analyzes numerical algorithms for atmospheric retrieval, pulling together all the relevant material in a consistent, very powerful manner.

Автор: Heinz Werner Engl; Martin Hanke; A. Neubauer
Название: Regularization of Inverse Problems
ISBN: 0792341570 ISBN-13(EAN): 9780792341574
Издательство: Springer
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Описание: Offers an overview over some classes of inverse problems. This book deals with the mathematical theory of regularization methods and gives an account of the results about regularization methods both for linear and for nonlinear ill-posed problems. It considers both continuous and iterative regularization methods.

Автор: Jonathan Borwein; Qiji Zhu
Название: Techniques of Variational Analysis
ISBN: 1441920269 ISBN-13(EAN): 9781441920263
Издательство: Springer
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Описание: Borwein is an authority in the area of mathematical optimization, and his book makes an important contribution to variational analysis

Автор: Molica Bisci
Название: Variational Methods for Nonlocal Fractional Problems
ISBN: 1107111943 ISBN-13(EAN): 9781107111943
Издательство: Cambridge Academ
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Описание: Devoted to the variational analysis of problems described by nonlocal operators, this book will appeal to a wide range of researchers and graduate students in mathematics, especially those interested in nonlinear phenomena. A careful balance is struck between rigorous mathematics and physical applications.

Автор: Panos M. Pardalos; Themistocles M. Rassias; Akhtar
Название: Nonlinear Analysis and Variational Problems
ISBN: 146142481X ISBN-13(EAN): 9781461424819
Издательство: Springer
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Описание: The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. They cover some important areas of nonlinear analysis and variational problems.

Автор: Graef John R., Kong Lingju
Название: Multiple Solutions of Boundary Value Problems: A Variational Approach
ISBN: 9814696544 ISBN-13(EAN): 9789814696548
Издательство: World Scientific Publishing
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Описание: Variational methods and their generalizations have been verified to be useful tools in proving the existence of solutions to a variety of boundary value problems for ordinary, impulsive, and partial differential equations as well as for difference equations.

Автор: Alexander J. Zaslavski
Название: Nonconvex Optimal Control and Variational Problems
ISBN: 1461473772 ISBN-13(EAN): 9781461473770
Издательство: Springer
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Описание: This volume contains results concerning well-posedness of optimal control and variational problems, nonoccurrence of the Lavrentiev phenomenon for optimal control and variational problems, and turnpike properties of approximate solutions.

Автор: Alexander J. Zaslavski
Название: Structure of Solutions of Variational Problems
ISBN: 1461463866 ISBN-13(EAN): 9781461463863
Издательство: Springer
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Описание: ГЇВїВЅ Structure of Solutions of Variational Problems is devoted to recent progress made in the studies of the structure of approximate solutions of variational problems considered on subintervals of a real line.

Автор: N.A. Bobylov; S.V. Emel`yanov; S. Korovin
Название: Geometrical Methods in Variational Problems
ISBN: 9401059551 ISBN-13(EAN): 9789401059558
Издательство: Springer
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Описание: Since the building of all the Universe is perfect and is cre- ated by the wisdom Creator, nothing arises in the Universe in which one cannot see the sense of some maXImum or mInImUm Euler God moves the Universe along geometrical lines Plato Mathematical models of most closed physical systems are based on vari- ational principles, i.e., it is postulated that equations describing the evolu- tion of a system are the Euler Lagrange equations of a certain functional. In this connection, variational methods are one of the basic tools for studying many problems of natural sciences. The first problems related to the search for extrema appeared as far back as in ancient mathematics. They go back to Archimedes, Appolonius, and Euclid. In many respects, the problems of seeking maxima and minima have stimulated the creation of differential calculus; the variational prin- ciples of optics and mechanics, which were discovered in the seventeenth and eighteenth centuries, gave impetus to an intensive development of the calculus of variations. In one way or another, variational problems were of interest to such giants of natural sciences as Fermat, Newton, Descartes, Euler, Huygens, 1. Bernoulli, J. Bernoulli, Legendre, Jacobi, Kepler, La- grange, and Weierstrass.