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Regularization of Ill-posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods (Mathematics and Its Applications, 499)
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Regularization of Ill-posed Problems by Iteration Methods
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Regularization Method for Ill-Posed Problems: Simplified Landweber Iteration
Sprache: Englisch
Verlag: LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6137331989 ISBN 13: 9786137331989
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods (Mathematics and Its Applications, 499)
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Regularization of Ill-Posed Problems by Iteration Methods
Sprache: Englisch
Verlag: Kluwer Academic Publishers, US, 1999
ISBN 10: 0792361318 ISBN 13: 9780792361312
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In den WarenkorbHardback. Zustand: New. 2000 ed. Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.
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Regularization of Ill-posed Problems by Iteration Methods
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Zustand: New. pp. 356.
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-posed Problems by Iteration Methods
Sprache: Englisch
Verlag: Kluwer Academic Publishers, 1999
ISBN 10: 0792361318 ISBN 13: 9780792361312
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Zustand: New. Presents results in regularization of ill-posed problems by iteration methods. This work is useful for specialists in the theory of partial differential and integral equations, in numerical analysis and in theory and methods. Series: Mathematics and its Applications. Num Pages: 342 pages, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 20. Weight in Grams: 722. . 1999. Hardback. . . . .
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Regularization of Ill-Posed Problems by Iteration Methods (Mathematics and Its Applications)
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Regularization of Ill-posed Problems by Iteration Methods
Sprache: Englisch
Verlag: Kluwer Academic Publishers, 1999
ISBN 10: 0792361318 ISBN 13: 9780792361312
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Zustand: New. Presents results in regularization of ill-posed problems by iteration methods. This work is useful for specialists in the theory of partial differential and integral equations, in numerical analysis and in theory and methods. Series: Mathematics and its Applications. Num Pages: 342 pages, biography. BIC Classification: PBKS. Category: (P) Professional & Vocational; (UP) Postgraduate, Research & Scholarly; (UU) Undergraduate. Dimension: 235 x 155 x 20. Weight in Grams: 722. . 1999. Hardback. . . . . Books ship from the US and Ireland.
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Regularization of Ill-Posed Problems by Iteration Methods
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Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.
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Regularization of Ill-Posed Problems by Iteration Methods
Sprache: Englisch
Verlag: Springer Netherlands, Springer Netherlands, 1999
ISBN 10: 0792361318 ISBN 13: 9780792361312
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Buch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.
-
Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods (Mathematics and Its Applications (499))
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods
Sprache: Englisch
Verlag: Kluwer Academic Publishers, US, 1999
ISBN 10: 0792361318 ISBN 13: 9780792361312
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In den WarenkorbHardback. Zustand: New. 2000 ed. Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.
-
Regularization of Ill-Posed Problems by Iteration Methods
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Regularization of Ill-Posed Problems by Iteration Methods
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Regularization Method for Ill-Posed Problems: Simplified Landweber Iteration
Sprache: Englisch
Verlag: LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6137331989 ISBN 13: 9786137331989
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Regularization Method for Ill-Posed Problems: Simplified Landweber Iteration
Sprache: Englisch
Verlag: LAP LAMBERT Academic Publishing, 2019
ISBN 10: 6137331989 ISBN 13: 9786137331989
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