Non-iterative Methods for Solving Operator Equations of the First Kind PDF Download
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Author: John W. Hilgers
Publisher:
ISBN:
Category : Operator equations
Languages : en
Pages : 272
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Book Description
The paper compares the reproducing kernel Hilbert space method for solving integral equations of the first kind with Tihonov regularization. The methods are theoretically identical and differ in practice only in the way discretization is introduced. Numerical examples are given. (Author).
Author: John W. Hilgers
Publisher:
ISBN:
Category : Operator equations
Languages : en
Pages : 272
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Book Description
The paper compares the reproducing kernel Hilbert space method for solving integral equations of the first kind with Tihonov regularization. The methods are theoretically identical and differ in practice only in the way discretization is introduced. Numerical examples are given. (Author).
Author: V. P. Tanana
Publisher: Walter de Gruyter
ISBN: 3110900157
Category : Mathematics
Languages : en
Pages : 229
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Book Description
The Inverse and Ill-Posed Problems Series is a series of monographs publishing postgraduate level information on inverse and ill-posed problems for an international readership of professional scientists and researchers. The series aims to publish works which involve both theory and applications in, e.g., physics, medicine, geophysics, acoustics, electrodynamics, tomography, and ecology.
Author: Nikolaĭ Stepanovich Kurpelʹ
Publisher: American Mathematical Soc.
ISBN: 9780821815960
Category : Mathematics
Languages : en
Pages : 204
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Book Description
Author: A.A. Samarskij
Publisher: Birkhäuser
ISBN: 3034891423
Category : Mathematics
Languages : en
Pages : 507
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Book Description
Author: M. Zuhair Nashed
Publisher: Springer Science & Business Media
ISBN: 0817644504
Category : Mathematics
Languages : en
Pages : 311
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Book Description
The quantitative and qualitative study of the physical world makes use of many mathematical models governed by a great diversity of ordinary, partial differential, integral, and integro-differential equations. An essential step in such investigations is the solution of these types of equations, which sometimes can be performed analytically, while at other times only numerically. This edited, self-contained volume presents a series of state-of-the-art analytic and numerical methods of solution constructed for important problems arising in science and engineering, all based on the powerful operation of (exact or approximate) integration. The volume may be used as a reference guide and a practical resource. It is suitable for researchers and practitioners in applied mathematics, physics, and mechanical and electrical engineering, as well as graduate students in these disciplines.
Author: A.B. Bakushinsky
Publisher: Springer Science & Business Media
ISBN: 140203122X
Category : Mathematics
Languages : en
Pages : 298
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Book Description
This volume presents a unified approach to constructing iterative methods for solving irregular operator equations and provides rigorous theoretical analysis for several classes of these methods. The analysis of methods includes convergence theorems as well as necessary and sufficient conditions for their convergence at a given rate. The principal groups of methods studied in the book are iterative processes based on the technique of universal linear approximations, stable gradient-type processes, and methods of stable continuous approximations. Compared to existing monographs and textbooks on ill-posed problems, the main distinguishing feature of the presented approach is that it doesn’t require any structural conditions on equations under consideration, except for standard smoothness conditions. This allows to obtain in a uniform style stable iterative methods applicable to wide classes of nonlinear inverse problems. Practical efficiency of suggested algorithms is illustrated in application to inverse problems of potential theory and acoustic scattering. The volume can be read by anyone with a basic knowledge of functional analysis. The book will be of interest to applied mathematicians and specialists in mathematical modeling and inverse problems.
Author: Barbara S Bertram
Publisher: CRC Press
ISBN: 9781420036039
Category : Mathematics
Languages : en
Pages : 380
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Book Description
Based on proceedings of the International Conference on Integral Methods in Science and Engineering, this collection of papers addresses the solution of mathematical problems by integral methods in conjunction with approximation schemes from various physical domains. Topics and applications include: wavelet expansions, reaction-diffusion systems, variational methods , fracture theory, boundary value problems at resonance, micromechanics, fluid mechanics, combustion problems, nonlinear problems, elasticity theory, and plates and shells.
Author: C. W. Groetsch
Publisher: Pitman Advanced Publishing Program
ISBN:
Category : Mathematics
Languages : en
Pages : 124
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Book Description
Author: N. S. Kurpel'
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Book Description
Author: Petrus Maria Bakker
Publisher:
ISBN:
Category : Hilbert space
Languages : en
Pages : 272
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Book Description
