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| Author | : A. A. Samarskii |
| Publisher | : Walter de Gruyter |
| Total Pages | : 453 |
| Release | : 2008-08-27 |
| Genre | : Mathematics |
| ISBN | : 3110205793 |
The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.
| Author | : Aleksandr Andreevich Samarskiĭ |
| Publisher | : Walter de Gruyter |
| Total Pages | : 456 |
| Release | : 2007 |
| Genre | : Mathematics |
| ISBN | : 9783110196665 |
"In direct problems for mathematical physics, the solution of partial differential equations supplemented with some boundary and initial conditions is to be determined. In many applications some of these conditions are missing, e.g., initial or boundary conditions, coefficients and right-hand sides of the equation may be unknown. Those problems are called inverse problems, and quite frequently, those problems turn out to be ill-posed, requiring some regularization methods for their approximate solution." "In the present monograph, the main classes of inverse problems in mathematical physics and their numerical treatment are considered. Many numerical illustrations and codes for their realization are included. The book is intended for graduate students and scientists interested in applied mathematics, computational mathematics and mathematical modeling."--BOOK JACKET.
| Author | : Alexander A. Samarskii |
| Publisher | : |
| Total Pages | : 450 |
| Release | : 2007-01 |
| Genre | : Differential equations, Partial |
| ISBN | : 9789004155237 |
This book treats some particular inverse problems for time-dependent and time-independent equations often encountered in mathematical physics.
| Author | : Per Christian Hansen |
| Publisher | : SIAM |
| Total Pages | : 220 |
| Release | : 2010-01-01 |
| Genre | : Mathematics |
| ISBN | : 089871883X |
This book gives an introduction to the practical treatment of inverse problems by means of numerical methods, with a focus on basic mathematical and computational aspects. To solve inverse problems, we demonstrate that insight about them goes hand in hand with algorithms.
| Author | : V. G. Romanov |
| Publisher | : Walter de Gruyter GmbH & Co KG |
| Total Pages | : 248 |
| Release | : 2018-11-05 |
| Genre | : Mathematics |
| ISBN | : 3110926016 |
No detailed description available for "Inverse Problems of Mathematical Physics".
| Author | : A.N. Tikhonov |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 257 |
| Release | : 2013-03-09 |
| Genre | : Mathematics |
| ISBN | : 940158480X |
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.
| Author | : Global Express Ltd. Co. |
| Publisher | : CRC Press |
| Total Pages | : 736 |
| Release | : 2000-03-21 |
| Genre | : Mathematics |
| ISBN | : 9780824719876 |
Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theory of differential equations in Banach spaces, applications of functional analysis, and semigroup theory.
| Author | : Mohsen Razavy |
| Publisher | : World Scientific Publishing Company |
| Total Pages | : 380 |
| Release | : 2020 |
| Genre | : Science |
| ISBN | : 9789811221668 |
This book is a compilation of different methods of formulating and solving inverse problems in physics from classical mechanics to the potentials and nucleus-nucleus scattering. Mathematical proofs are omitted since excellent monographs already exist dealing with these aspects of the inverse problems. The emphasis here is on finding numerical solutions to complicated equations. A detailed discussion is presented on the use of continued fractional expansion, its power and its limitation as applied to various physical problems. In particular, the inverse problem for discrete form of the wave equation is given a detailed exposition and applied to atomic and nuclear scattering, in the latter for elastic as well as inelastic collision. This technique is also used for inverse problem of geomagnetic induction and one-dimensional electrical conductivity. Among other topics covered are the inverse problem of torsional vibration, and also a chapter on the determination of the motion of a body with reflecting surface from its reflection coefficient.
| Author | : Alexander G. Ramm |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 453 |
| Release | : 2005-12-19 |
| Genre | : Technology & Engineering |
| ISBN | : 0387232184 |
Inverse Problems is a monograph which contains a self-contained presentation of the theory of several major inverse problems and the closely related results from the theory of ill-posed problems. The book is aimed at a large audience which include graduate students and researchers in mathematical, physical, and engineering sciences and in the area of numerical analysis.
