1 edition of Ill-posed problems in the natural sciences found in the catalog.
Ill-posed problems in the natural sciences
|Statement||edited by A.N. Tikhonov, A.V. Goncharsky|
|Series||Advances in science and technology in the USSR. Mathematics and mechanics series, Advances in science and technology in the USSR|
|Contributions||Tikhonov, A. N. 1906-, Goncharskiĭ, A. V.|
|The Physical Object|
|Pagination||344 p. :|
|Number of Pages||344|
In this book the authors present a number of examples which lead to ill-posed problems arising with the processing and interpretation of data of physical measurements. Basic postulates and some results in the general theory of ill-posed problems follow. The exposition also includes problems of analytic continuation from continua and discrete. A. N. Tikhonov, On the problems with approximately specified information, in “Ill-Posed Problems in Natural Sciences”, Mir, Moscow, , Google Scholar : I. V. Kochikov, G. M. Kuramshina, A. G. Yagola.
Examples include algorithms for determining convection mechanisms in the Earth’s mantle, interpretation of natural field anomalies associated with electrokinetic phenomena. The theory of interpretation of geophysical fields is directly related to the solution of ill-posed problems and the theory of regularization created by the works of A.N. Kup książkę Regularization Theory for Ill-posed Problems (Shuai Lu, Sergei V. Pereverzev) u sprzedawcy godnego zaufania. Przeczytaj fragment, zapoznaj się z opiniami innych czytelników, przejrzyj książki o podobnej tematyce, które wybraliśmy dla Ciebie z naszej milionowej kolekcji. from our sellection of .
The Mollification Method and the Numerical Solution of Ill-Posed Problems PDF By:Diego A. Murio Published on by John Wiley & Sons. Over the past twenty years, the subject of applied inverse theory (ill-posed problems) has expanded from a collection of individual techniques to a rich, highly developed branch of applied mathematics. The book covers the following topics: theory of ill-posed problems ; inverse problems for differential equations ; boundary value problems for equations of mixed type ; integral geometry ; mathematical modelling and numerical methods in natural sciences.
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Ill-Posed Problems in the Natural Sciences [Tikhonov, A.N.; Goncharsky, A.V.] on *FREE* shipping on qualifying offers.
Ill-Posed Problems in the Natural SciencesAuthor: A.V. Tikhonov, A.N.; Goncharsky. Ill-posed Problems in the Natural Sciences (Mathematics and Mechanics Series) [A.N.
Tikhonov, A.V. Goncharsky] on *FREE* shipping on qualifying offers. Ill-posed Problems in the Natural Sciences (Mathematics and Mechanics Series)Author: A.V.
Goncharsky A.N. Tikhonov. Not Available adshelp[at] The ADS is operated by the Smithsonian Astrophysical Observatory under NASA Cooperative Agreement NNX16AC86ACited by: Get this from a library. Ill-posed problems in natural sciences: proceedings of the International Conference held in Moscow, August[A N Tikhonov; A S Leonov;].
Inverse and Ill-Posed Problems is a collection of papers presented at a seminar of the same title held in Austria in June The papers discuss inverse problems in various disciplines; mathematical solutions of integral equations of the first kind; general considerations for ill-posed problems; and the various regularization methods for.
Ill-Posed Problems in Natural Sciences Proceedings of the International Conference Held in Moscow - AugustEditor-in-Chief Andrei N. Tikhonov Editors Leonov A.S. Prilepko A.l.
Vasin I.A. Vatutin V.A. Yagola A.G. ///VSP/// UTRECHT, THE NETHERLANDS TOKYO, JAPAN TVP SCIENCE PUBLISHERS MOSCOW, RUSSIA. Examples of inverse problems are image restoration and tomography, where one needs to improve blurred images or reconstruct pictures from raw data.
This book describes, in a common framework, new and existing numerical methods for the analysis and solution of rank-deficient and discrete ill. Per Christian Hansen, Rank-Deficient and Discrete Ill-Posed Problems: Numerical Aspects of Linear Inversion Michael Griebel, Thomas Dornseifer, and Tilman Neunhoeffer, Numerical Simulation in Fluid Dynamics: A Practical Introduction Khosrow Chadan, David Colton, Lassi Päivärinta, and.
The book is written for graduate and Phd students and researchers in mathematics, natural sciences, engineering, and medicine. Do you want to read the rest of this article.
Request full-text. Regularization Theory for Ill-posed Problems Selected Topics. Series:Inverse and Ill-Posed Problems Series The book is written for graduate and PhDstudents and researchersin mathematics, natural sciences, engeneering, and medicine.
Supplementary Information. Contents; Details. x cm. Author of Partial differential equations of mathematical physics, Nonlinear ill-posed problems, Metody reshenii︠a︡ nekorrektnykh zadach, Chislennye metody reshenii︠a︡ obratnykh zadach matematicheskoĭ fiziki, Rasskazy o prikladnoĭ matematike, Vvodnye lekt͡s︡ii po prikladnoĭ matematike, Ill Posed Problems in the Natural Sciences (Advances in Science and Technology in the.
Book Description. The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert volume summarizes and extends the developments of the past decade concerning the applicability of the conjugate gradient method (and some of its variants) to ill posed problems and their regularization.
Ill-Posed Problems - IPP - Illa ställda problem Spring Semester, Christer Kiselman. This was a course for beginning graduate students in mathematics and related subjects. It started on March 3 and ended on June 3. The notion of a well-posed problem, un problème bien posé, goes back to a famous paper by Jacques Hadamard published in These proceedings of the international Conference "Ill-Posed and Non-Classical Problems of Mathematical Physics and Analysis", held at the Samarkand State University, Uzbekistan in September bring together fundamental research articles in the major areas of the numerated fields of analysis and mathematical physics.
Conjugate Gradient Type Methods for Ill-Posed Problems - CRC Press Book The conjugate gradient method is a powerful tool for the iterative solution of self-adjoint operator equations in Hilbert volume summarizes and extends the developments of the past decade concerning the applicability of the conjugate gradient method (and some of.
Regularization Theory for Ill-posed Problems In his book he offers a well-balanced mixtureof basic and innovative demonstrates new,differentiatedviewpoints, and important examples for applications.
The book is written for graduate and PhDstudents and researchersin mathematics, natural sciences, engeneering, and medicine. The term is often used in the context of differential and integral equations.
A mathematical problem is well-posed in the sense of Hadamard if (i) a solution exists. General aspects of the ill-posed inverse problems in chemistry with emphasis in thermodynamics and a set of general rules for other areas of science are also analyzed.
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Numerical Methods for the Solution of Ill-Posed Problems. Aleksandr N. Tikhonov. 01 Aug Hardback. US$ Ill-Posed Problems in Natural Sciences. Aleksandr N. Tikhonov.
01 Dec Hardback.Such problems are called well-posed and they typically arise from the so-called direct problems of natural science. The demands of science and technology have recently brought to the fore many problems that are inverse to the classical direct problems, that is, problems which may be interpreted as finding the cause of a given effect or finding.Examples of archetypal well-posed problems include the Dirichlet problem for Laplace's equation, and the heat equation with specified initial conditions.
These might be regarded as 'natural' problems in that there are physical processes modelled by these problems. Problems that are not well-posed in the sense of Hadamard are termed ill-posed.