Numerical Methods for Solving Inverse Problems of Mathematical Physics PDF Download
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Author: A. A. Samarskii
Publisher: Walter de Gruyter
ISBN: 3110205793
Category : Mathematics
Languages : en
Pages : 453
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Book Description
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: A. A. Samarskii
Publisher: Walter de Gruyter
ISBN: 3110205793
Category : Mathematics
Languages : en
Pages : 453
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Book Description
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
ISBN: 9783110196665
Category : Mathematics
Languages : en
Pages : 456
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Book Description
"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:
ISBN: 9789004155237
Category : Differential equations, Partial
Languages : en
Pages : 450
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Book Description
This book treats some particular inverse problems for time-dependent and time-independent equations often encountered in mathematical physics.
Author: Global Express Ltd. Co.
Publisher: CRC Press
ISBN: 9780824719876
Category : Mathematics
Languages : en
Pages : 736
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Book Description
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:
Publisher: VSP
ISBN: 9789067643962
Category : Mathematics
Languages : en
Pages : 298
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Book Description
Thismonograph deals with the theory of inverse problems of mathematical physics andapplications 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: V. G. Romanov
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110926016
Category : Mathematics
Languages : en
Pages : 248
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Book Description
No detailed description available for "Inverse Problems of Mathematical Physics".
Author: Per Christian Hansen
Publisher: SIAM
ISBN: 089871883X
Category : Mathematics
Languages : en
Pages : 220
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Book Description
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: Otmar Scherzer
Publisher: Springer Science & Business Media
ISBN: 0387929193
Category : Mathematics
Languages : en
Pages : 1626
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Book Description
The Handbook of Mathematical Methods in Imaging provides a comprehensive treatment of the mathematical techniques used in imaging science. The material is grouped into two central themes, namely, Inverse Problems (Algorithmic Reconstruction) and Signal and Image Processing. Each section within the themes covers applications (modeling), mathematics, numerical methods (using a case example) and open questions. Written by experts in the area, the presentation is mathematically rigorous. The entries are cross-referenced for easy navigation through connected topics. Available in both print and electronic forms, the handbook is enhanced by more than 150 illustrations and an extended bibliography. It will benefit students, scientists and researchers in applied mathematics. Engineers and computer scientists working in imaging will also find this handbook useful.
Author: Heinz H. Bauschke
Publisher: Springer Science & Business Media
ISBN: 1441995692
Category : Mathematics
Languages : en
Pages : 409
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Book Description
"Fixed-Point Algorithms for Inverse Problems in Science and Engineering" presents some of the most recent work from top-notch researchers studying projection and other first-order fixed-point algorithms in several areas of mathematics and the applied sciences. The material presented provides a survey of the state-of-the-art theory and practice in fixed-point algorithms, identifying emerging problems driven by applications, and discussing new approaches for solving these problems. This book incorporates diverse perspectives from broad-ranging areas of research including, variational analysis, numerical linear algebra, biotechnology, materials science, computational solid-state physics, and chemistry. Topics presented include: Theory of Fixed-point algorithms: convex analysis, convex optimization, subdifferential calculus, nonsmooth analysis, proximal point methods, projection methods, resolvent and related fixed-point theoretic methods, and monotone operator theory. Numerical analysis of fixed-point algorithms: choice of step lengths, of weights, of blocks for block-iterative and parallel methods, and of relaxation parameters; regularization of ill-posed problems; numerical comparison of various methods. Areas of Applications: engineering (image and signal reconstruction and decompression problems), computer tomography and radiation treatment planning (convex feasibility problems), astronomy (adaptive optics), crystallography (molecular structure reconstruction), computational chemistry (molecular structure simulation) and other areas. Because of the variety of applications presented, this book can easily serve as a basis for new and innovated research and collaboration.
Author: Alexander G. Ramm
Publisher: Springer Science & Business Media
ISBN: 0387232184
Category : Technology & Engineering
Languages : en
Pages : 453
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Book Description
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.
