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| 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 | : Mikhail M. Lavrent'ev |
| Publisher | : Walter de Gruyter |
| Total Pages | : 288 |
| Release | : 2012-05-07 |
| Genre | : Mathematics |
| ISBN | : 3110915529 |
This monograph deals with the theory of inverse problems of mathematical physics and applications of such problems. Besides it considers applications and numerical methods of solving the problems under study. Descriptions of particular numerical experiments are also included.
| 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 | : 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 | : Michail M. Lavrentiev |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 115 |
| Release | : 2013-03-13 |
| Genre | : Science |
| ISBN | : 3642882102 |
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 . . . . . . .
| Author | : Global Express Ltd. Co. |
| Publisher | : CRC Press |
| Total Pages | : 732 |
| Release | : 2000-03-21 |
| Genre | : Mathematics |
| ISBN | : 148229298X |
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, app
| Author | : R.P. Gilbert |
| Publisher | : Springer Science & Business Media |
| Total Pages | : 452 |
| Release | : 2013-04-17 |
| Genre | : Mathematics |
| ISBN | : 1475732147 |
This volume consists of papers presented in the special sessions on "Wave Phenomena and Related Topics", and "Asymptotics and Homogenization" of the ISAAC'97 Congress held at the University of Delaware, during June 2-7, 1997. The ISAAC Congress coincided with a U.S.-Japan Seminar also held at the University of Delaware. The latter was supported by the National Science Foundation through Grant INT -9603029 and the Japan Society for the Promotion of Science through Grant MTCS-134. It was natural that the 'participants of both meetings should interact and consequently several persons attending the Congress also presented papers in the Seminar. The success of the ISAAC Congress and the U.S.-Japan Seminar has led to the ISAAC'99 Congress being held in Fukuoka, Japan during August 1999. Many of the same participants will return to this Seminar. Indeed, it appears that the spirit of the U.S.-Japan Seminar will be continued every second year as part of the ISAAC Congresses. We decided to include with the papers presented in the ISAAC Congress and the U.S.-Japan Seminar several very good papers by colleagues from the former Soviet Union. These participants in the ISAAC Congress attended at their own expense. This volume has the title Direct and Inverse Problems of Mathematical Physics which consists of the papers on scattering theory, coefficient identification, uniqueness and existence theorems, boundary controllability, wave propagation in stratified media, viscous flows, nonlinear acoustics, Sobolev spaces, singularity theory, pseudo differential operators, and semigroup theory.
| Author | : Vladlen Borisovich Glasko |
| Publisher | : |
| Total Pages | : 97 |
| Release | : 1984 |
| Genre | : |
| ISBN | : |
| Author | : V. B. Glasko |
| Publisher | : Amer Inst of Physics |
| Total Pages | : 160 |
| Release | : 1989-01-01 |
| Genre | : Mathematics |
| ISBN | : 9780883185711 |
| 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.
