Non-iterative Methods for Solving Operator Equations of the First Kind

Non-iterative Methods for Solving Operator Equations of the First Kind
Author: John W. Hilgers
Publisher:
Total Pages: 272
Release: 1973
Genre: Operator equations
ISBN:

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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).

Methods for Solving Operator Equations

Methods for Solving Operator Equations
Author: V. P. Tanana
Publisher: Walter de Gruyter
Total Pages: 229
Release: 2012-02-13
Genre: Mathematics
ISBN: 3110900157

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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.

Optimal Methods for Ill-Posed Problems

Optimal Methods for Ill-Posed Problems
Author: Vitalii P. Tanana
Publisher: Walter de Gruyter GmbH & Co KG
Total Pages: 168
Release: 2018-03-19
Genre: Mathematics
ISBN: 3110575833

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The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics. Contents Modulus of continuity of the inverse operator and methods for solving ill-posed problems Lavrent’ev methods for constructing approximate solutions of linear operator equations of the first kind Tikhonov regularization method Projection-regularization method Inverse heat exchange problems

Methods for Solving Operator Equations

Methods for Solving Operator Equations
Author: Vitalij P. Tanana
Publisher: VSP
Total Pages: 236
Release: 1997
Genre: Mathematics
ISBN: 9789067642378

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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.

Solution Methods for Integral Equations

Solution Methods for Integral Equations
Author: M. A. Goldberg
Publisher: Springer Science & Business Media
Total Pages: 351
Release: 2013-11-21
Genre: Science
ISBN: 1475714661

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A Primer on Integral Equations of the First Kind

A Primer on Integral Equations of the First Kind
Author: G. Milton Wing
Publisher: SIAM
Total Pages: 141
Release: 1991-01-01
Genre: Mathematics
ISBN: 0898712637

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Designed to offer applied mathematicians, physicists, chemists, engineers, geophysicists, an elementary level explanation of integral equations of the first kind.

Methods for Solution of Nonlinear Operator Equations

Methods for Solution of Nonlinear Operator Equations
Author: V. P. Tanana
Publisher: Walter de Gruyter
Total Pages: 248
Release: 2013-02-18
Genre: Mathematics
ISBN: 3110920298

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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.

Approximate Solution Of Operator Equations With Applications

Approximate Solution Of Operator Equations With Applications
Author: Ioannis K Argyros
Publisher: World Scientific Publishing Company
Total Pages: 527
Release: 2005-08-26
Genre: Mathematics
ISBN: 9813106549

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Researchers are faced with the problem of solving a variety of equations in the course of their work in engineering, economics, physics, and the computational sciences. This book focuses on a new and improved local-semilocal and monotone convergence analysis of efficient numerical methods for computing approximate solutions of such equations, under weaker hypotheses than in other works. This particular feature is the main strength of the book when compared with others already in the literature.The explanations and applications in the book are detailed enough to capture the interest of curious readers and complete enough to provide the necessary background material to go further into the subject.