Improperly Posed Problems and Their Numerical Treatment, Prof. Dr. G. H?mmerlin; Prof. Dr. K.-H. Hoffmann
Автор: Michail M. Lavrentiev; R.J. Sacker; R.J. Sacker Название: Some Improperly Posed Problems of Mathematical Physics ISBN: 3642882129 ISBN-13(EAN): 9783642882128 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This monograph deals with the problems of mathematical physics which are improperly posed in the sense of Hadamard. The first part covers various approaches to the formulation of improperly posed problems. These approaches are illustrated by the example of the classical improperly posed Cauchy problem for the Laplace equation. The second part deals with a number of problems of analytic continuations of analytic and harmonic functions. The third part is concerned with the investigation of the so-called inverse problems for differential equations in which it is required to determine a dif- ferential equation from a certain family of its solutions. Novosibirsk June, 1967 M. M. LAVRENTIEV Table of Contents Chapter I Formu1ation of some Improperly Posed Problems of Mathematic: al Physics 1 Improperly Posed Problems in Metric Spaces. . . . . . . . . 2 A Probability Approach to Improperly Posed Problems. . . 8 Chapter II Analytic Continuation 1 Analytic Continuation of a Function of One Complex Variable from a Part of the Boundary of the Region of Regularity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2 The Cauchy Problem for the Laplace Equation . . . . . . . 18 3 Determination of an Analytic Function from its Values on a Set Inside the Domain of Regularity. . . . . . . . . . . . . 22 4 Analytic Continuation of a Function of Two Real Variables 32 5 Analytic Continuation of Harmonic Functions from a Circle. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 6 Analytic Continuation of Harmonic Function with Cylin drical Symmetry . . . . . . . . . . . . . . . . . . . . . . . . . 42 Chapter III Inverse Problems for Differential Equations 1 The Inverse Problem for a Newtonian Potential . . . . . . .
Автор: A.N. Tikhonov; A. Goncharsky; V.V. Stepanov; Anato Название: Numerical Methods for the Solution of Ill-Posed Problems ISBN: 904814583X ISBN-13(EAN): 9789048145836 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.
Автор: A. Bakushinsky; A. Goncharsky Название: Ill-Posed Problems: Theory and Applications ISBN: 0792330730 ISBN-13(EAN): 9780792330738 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Presents a unified approach to the solution of ill-posed problems. This text explores this idea in the discussion of topics such as common conditions for the existence of regularizing algorithms, necessary and sufficient conditions of the approximations for linear problems, and the principle of iterative regularization for nonlinear problems.
Автор: A. Bakushinsky; A. Goncharsky Название: Ill-Posed Problems: Theory and Applications ISBN: 9401044473 ISBN-13(EAN): 9789401044479 Издательство: Springer Рейтинг: Цена: 6986.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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 Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: A.B. Aries; Z. Nashed; V.A. Morozov Название: Methods for Solving Incorrectly Posed Problems ISBN: 0387960597 ISBN-13(EAN): 9780387960593 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Some problems of mathematical physics and analysis can be formulated as the problem of solving the equation f EURO F, (1) Au = f, where A: DA C U + F is an operator with a non-empty domain of definition D , in a metric space U, with range in a metric space F.
Автор: Assen L. Dontchev; Tullio Zolezzi Название: Well-Posed Optimization Problems ISBN: 3540567372 ISBN-13(EAN): 9783540567370 Издательство: Springer Рейтинг: Цена: 6282.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This book presents in a unified way the mathematical theory of well-posedness in optimization. The book is addressed to mathematicians interested in optimization and related topics, and also to engineers, control theorists, economists and applied scientists who can find here a mathematical justification of practical procedures they encounter.
Автор: Roberto Lucchetti Название: Convexity and Well-Posed Problems ISBN: 1441921117 ISBN-13(EAN): 9781441921116 Издательство: Springer Рейтинг: Цена: 9357.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: We shall consider convex functions from the most modern point of view: a function is de?ned to be convex whenever its epigraph, the set of the points lying above the graph, is a convex set. Except for trivial cases, the minimum value must be taken at a point where the function is not +?, hence at a point in the constraint set.
Автор: Stuart S. Antman; J.L. Ericksen; David Kinderlehre Название: Metastability and Incompletely Posed Problems ISBN: 146138706X ISBN-13(EAN): 9781461387060 Издательство: Springer Рейтинг: Цена: 14673.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This IMA Volume in Mathematics and its Applications Metastability and Incompletely Posed Problems represents the proceedings of a workshop which was an integral part of the 19R4-R5 IMA program on CONTINUUM PHYSICS AND PARTIAL DIFFERENTIAL EOIIATIONS. We are grateful to the Scientific Committee:, I.L. Eri cksen D. Kinderlehrer H. Rrezis C. Dafermos for their dedication and hard work in developing an imaginative, stimulating, and productive year-long program. George R. Sell Hans Weinberger Preface Most equilibrium events in nature do not realize configurations of minimum energy. They are only metastable. Available knowledge of constitutive relations and environmental interactions may be limiterl. As a result, many configurations may he compatible with the rlata. Such questions are incompletely poserl. The papers in this volume address a wide variety of these issues as they are perceived by the material scientist and the mathematician. They represent a portion of the significant activity which has been underway in recent years, from the experimental arena and physical theory to the analysis of differential equations and computation.
Автор: Roberto Lucchetti; Julian Revalski Название: Recent Developments in Well-Posed Variational Problems ISBN: 0792335767 ISBN-13(EAN): 9780792335764 Издательство: Springer Рейтинг: Цена: 13275.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
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: Michel Thera; Rainer Tichatschke Название: Ill-posed Variational Problems and Regularization Techniques ISBN: 3540663231 ISBN-13(EAN): 9783540663232 Издательство: Springer Рейтинг: Цена: 15372.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: Developments in the field of ill-posed variational problems and variational inequalities are presented here. The work covers a large range of theoretical, numerical and practical aspects.
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