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[EAN: 9789048145836], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. Many problems in science, technology and engineering are posed in the form of operator equat… Meer...

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Numerical Methods for the Solution of Ill-Posed Problems (Paperback) - A.N. Tikhonov, A. Goncharsky, V.V. Stepanov,
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A.N. Tikhonov, A. Goncharsky, V.V. Stepanov,:

Numerical Methods for the Solution of Ill-Posed Problems (Paperback) - pocketboek

2010, ISBN: 904814583X

[EAN: 9789048145836], Neubuch, [PU: Springer, Netherlands], Language: English. Brand new Book. Many problems in science, technology and engineering are posed in the form of operator equat… Meer...

NEW BOOK. Verzendingskosten: EUR 0.59 The Book Depository, London, United Kingdom [54837791] [Rating: 5 (von 5)]
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ISBN: 9789048145836

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often … Meer...

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ISBN: 9789048145836

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Numerical Methods for the Solution of Ill-Posed Problems - A.N. Tikhonov; A. Goncharsky; V.V. Stepanov; Anatoly G. Yagola
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A.N. Tikhonov; A. Goncharsky; V.V. Stepanov; Anatoly G. Yagola:
Numerical Methods for the Solution of Ill-Posed Problems - pocketboek

2010, ISBN: 9789048145836

Buch, Softcover, Softcover reprint of hardcover 1st ed. 1995, [PU: Springer], Springer, 2010

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Numerical Methods for the Solution of Ill-Posed Problems

Many problems in science, technology and engineering are posed in the form of operator equations of the first kind, with the operator and RHS approximately known. But such problems often turn out to be ill-posed, having no solution, or a non-unique solution, and/or an unstable solution. Non-existence and non-uniqueness can usually be overcome by settling for `generalised' solutions, leading to the need to develop regularising algorithms. The theory of ill-posed problems has advanced greatly since A. N. Tikhonov laid its foundations, the Russian original of this book (1990) rapidly becoming a classical monograph on the topic. The present edition has been completely updated to consider linear ill-posed problems with or without a priori constraints (non-negativity, monotonicity, convexity, etc.). Besides the theoretical material, the book also contains a FORTRAN program library. Audience: Postgraduate students of physics, mathematics, chemistry, economics, engineering. Engineers and scientists interested in data processing and the theory of ill-posed problems.

Gedetalleerde informatie over het boek. - Numerical Methods for the Solution of Ill-Posed Problems


EAN (ISBN-13): 9789048145836
ISBN (ISBN-10): 904814583X
Gebonden uitgave
pocket book
Verschijningsjaar: 2010
Uitgever: Springer
264 Bladzijden
Gewicht: 0,404 kg
Taal: eng/Englisch

Boek bevindt zich in het datenbestand sinds 2010-02-12T20:22:02+01:00 (Amsterdam)
Detailpagina laatst gewijzigd op 2022-06-22T15:49:47+02:00 (Amsterdam)
ISBN/EAN: 9789048145836

ISBN - alternatieve schrijfwijzen:
90-481-4583-X, 978-90-481-4583-6
alternatieve schrijfwijzen en verwante zoekwoorden:
Auteur van het boek: tikhonov, stepan, tikhon
Titel van het boek: solution, numerical methods, well posed problems


Gegevens van de uitgever

Auteur: A.N. Tikhonov; A. Goncharsky; V.V. Stepanov; Anatoly G. Yagola
Titel: Mathematics and Its Applications; Numerical Methods for the Solution of Ill-Posed Problems
Uitgeverij: Springer; Springer Netherland
253 Bladzijden
Verschijningsjaar: 2010-12-05
Dordrecht; NL
Gedrukt / Gemaakt in
Taal: Engels
53,49 € (DE)
54,99 € (AT)
59,00 CHF (CH)
POD
IX, 253 p.

BC; Hardcover, Softcover / Mathematik/Wahrscheinlichkeitstheorie, Stochastik, Mathematische Statistik; Numerische Mathematik; Verstehen; Fortran; algorithms; mathematics; numerical method; Computational Mathematics and Numerical Analysis; Integral Equations; Operator Theory; Optimization; Algorithms; Integralrechnung und -gleichungen; Funktionalanalysis und Abwandlungen; Optimierung; Algorithmen und Datenstrukturen; BB; EA

1. Regularization methods.- 2. Numerical methods for the approximate solution of ill-posed problems on compact sets.- 3. Algorithms for the approximate solution of ill-posed problems on special sets.- 4. Algorithms and programs for solving linear ill-posed problems.- Appendix: Program listings.- I. Program for solving Fredholm integral equations of the first kind, using Tikhonov’s method with transformation of the Euler equation to tridiagonal form.- II. Program for solving Fredholm integral equations of the first kind by Tikhonov’s method, using the conjugate gradient method.- III. Program for solving Fredholm integral equations of the first kind on the set of nonnegative functions, using the regularization method.- IV. Program for solving one-dimensional integral equations of convolution type.- V. Program for solving two-dimensional integral equations of convolution type.- VI. Program for solving Fredholm integral equations of the first kind on the sets of monotone and (or) convex functions. The method of the conditional gradient.- VII. Program for solving Fredholm integral equations of the first kind on the sets of monotone and (or) convex functions. The method of projection of conjugate gradients.- VIII. Program for solving Fredholm integral equations of the first kind on the sets of monotone and (or) convex functions. The method of projection of conjugate gradients onto the set of vectors with nonnegative coordinates.- IX. General programs.- Postscript.- 1. Variational methods.- 2. Iterative methods.- 3. Statistical methods.- 4. Textbooks.- 5. Handbooks and Conference Proceedings.

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