Zur Startseite gehen
0,00 €*
Cover: 9789401027175 | Approximate Solution of Operator Equations | Krasnosel'skii (u. a.)
Dekorationsartikel gehören nicht zum Leistungsumfang.
Approximate Solution of Operator Equations
Taschenbuch von M. A. Krasnosel'skii (u. a.)
Sprache: Englisch

53,49 €*

inkl. MwSt.

Versandkostenfrei per Post / DHL

Aktuell nicht verfügbar

Kategorien:
Beschreibung
One of the most important chapters in modern functional analysis is the theory of approximate methods for solution of various mathematical problems. Besides providing considerably simplified approaches to numerical methods, the ideas of functional analysis have also given rise to essentially new computation schemes in problems of linear algebra, differential and integral equations, nonlinear analysis, and so on. The general theory of approximate methods includes many known fundamental results. We refer to the classical work of Kantorovich; the investigations of projection methods by Bogolyubov, Krylov, Keldysh and Petrov, much furthered by Mikhlin and Pol'skii; Tikho­ nov's methods for approximate solution of ill-posed problems; the general theory of difference schemes; and so on. During the past decade, the Voronezh seminar on functional analysis has systematically discussed various questions related to numerical methods; several advanced courses have been held at Voronezh Uni­ versity on the application of functional analysis to numerical mathe­ matics. Some of this research is summarized in the present monograph. The authors' aim has not been to give an exhaustive account, even of the principal known results. The book consists of five chapters.
One of the most important chapters in modern functional analysis is the theory of approximate methods for solution of various mathematical problems. Besides providing considerably simplified approaches to numerical methods, the ideas of functional analysis have also given rise to essentially new computation schemes in problems of linear algebra, differential and integral equations, nonlinear analysis, and so on. The general theory of approximate methods includes many known fundamental results. We refer to the classical work of Kantorovich; the investigations of projection methods by Bogolyubov, Krylov, Keldysh and Petrov, much furthered by Mikhlin and Pol'skii; Tikho­ nov's methods for approximate solution of ill-posed problems; the general theory of difference schemes; and so on. During the past decade, the Voronezh seminar on functional analysis has systematically discussed various questions related to numerical methods; several advanced courses have been held at Voronezh Uni­ versity on the application of functional analysis to numerical mathe­ matics. Some of this research is summarized in the present monograph. The authors' aim has not been to give an exhaustive account, even of the principal known results. The book consists of five chapters.
Inhaltsverzeichnis
1 Successive approximations.- §1. Existence of the fixed point of a contraction operator.- §2. Convergence of successive approximations.- §3. Equations with monotone operators.- §4. Equations with nonexpansive operators.- 2 Linear equations.- §5. Bounds for the spectral radius of a linear operator.- §6. The block method for estimating the spectral radius..- §7. Transformation of linear equations.- §8. Method of minimal residuals.- §9. Approximate computation of the spectral radius.- §10. Monotone iterative processes.- 3 Equations with smooth operators.- §11. The Newton-Kantorovich method.- §12. Modified Newton-Kantorovich method.- §13. Approximate solution of linearized equations.- §14. A posteriori error estimates.- 4 Projection methods.- § 15. General theorems on convergence of projection methods..- § 16. The Bubnov-Galerkin and Galerkin-Petrov methods.- §17. The Galerkin method with perturbations and the general theory of approximate methods.- §18. Projection methods in the eigenvalue problem.- §19. Projection methods for solution of nonlinear equations.- 5 Small solutions of operator equations.- §20. Approximation of implicit functions.- §21. Finite systems of equations.- §22. Branching of solutions of operator equations.- § 23. Simple solutions and the method of undetermined coefficients.- §24. The problem of bifurcation points.
Details
Erscheinungsjahr: 2011
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: 496 S.
ISBN-13: 9789401027175
ISBN-10: 940102717X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Krasnosel'skii, M. A.
Vainikko, G. M.
Stet'senko, V. Va.
Ruticki, Ya. B.
Zabreyko, R. P.
Auflage: Softcover reprint of the original 1st ed. 1972
Hersteller: Springer Netherland
Springer Netherlands
Maße: 229 x 152 x 27 mm
Von/Mit: M. A. Krasnosel'skii (u. a.)
Erscheinungsdatum: 10.11.2011
Gewicht: 0,717 kg
Artikel-ID: 105625424
Inhaltsverzeichnis
1 Successive approximations.- §1. Existence of the fixed point of a contraction operator.- §2. Convergence of successive approximations.- §3. Equations with monotone operators.- §4. Equations with nonexpansive operators.- 2 Linear equations.- §5. Bounds for the spectral radius of a linear operator.- §6. The block method for estimating the spectral radius..- §7. Transformation of linear equations.- §8. Method of minimal residuals.- §9. Approximate computation of the spectral radius.- §10. Monotone iterative processes.- 3 Equations with smooth operators.- §11. The Newton-Kantorovich method.- §12. Modified Newton-Kantorovich method.- §13. Approximate solution of linearized equations.- §14. A posteriori error estimates.- 4 Projection methods.- § 15. General theorems on convergence of projection methods..- § 16. The Bubnov-Galerkin and Galerkin-Petrov methods.- §17. The Galerkin method with perturbations and the general theory of approximate methods.- §18. Projection methods in the eigenvalue problem.- §19. Projection methods for solution of nonlinear equations.- 5 Small solutions of operator equations.- §20. Approximation of implicit functions.- §21. Finite systems of equations.- §22. Branching of solutions of operator equations.- § 23. Simple solutions and the method of undetermined coefficients.- §24. The problem of bifurcation points.
Details
Erscheinungsjahr: 2011
Fachbereich: Analysis
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Inhalt: 496 S.
ISBN-13: 9789401027175
ISBN-10: 940102717X
Sprache: Englisch
Ausstattung / Beilage: Paperback
Einband: Kartoniert / Broschiert
Autor: Krasnosel'skii, M. A.
Vainikko, G. M.
Stet'senko, V. Va.
Ruticki, Ya. B.
Zabreyko, R. P.
Auflage: Softcover reprint of the original 1st ed. 1972
Hersteller: Springer Netherland
Springer Netherlands
Maße: 229 x 152 x 27 mm
Von/Mit: M. A. Krasnosel'skii (u. a.)
Erscheinungsdatum: 10.11.2011
Gewicht: 0,717 kg
Artikel-ID: 105625424
Warnhinweis

Ähnliche Produkte

Ähnliche Produkte

Taschenbuch
Cover: 9780521424202 | Statistical Inference for Spatial Processes | Brian D. Ripley | Buch
Statistical Inference for Spatial Processes
EAN: 9780521424202
Sprache: Englisch
Von/Mit: Brian D. Ripley

56,60 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9783486587067 | Mathematik für Wirtschaftswissenschaftler | Alexander Karmann | Buch
Mathematik für Wirtschaftswissenschaftler
Problemorientierte Einführung
EAN: 9783486587067
Sprache: Deutsch
Von/Mit: Alexander Karmann

32,95 €*

Aktuell nicht verfügbar

Buch
Cover: 9780387978451 | Rings and Categories of Modules | Kent R. Fuller (u. a.) | Buch | x
Rings and Categories of Modules
EAN: 9780387978451
Sprache: Englisch
Von/Mit: Kent R. Fuller (u. a.)

90,94 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9780387955155 | The Optimal Design of Blocked and Split-Plot Experiments | Peter Goos
The Optimal Design of Blocked and Split-Plot Experiments
EAN: 9780387955155
Sprache: Englisch
Von/Mit: Peter Goos

106,99 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9789813149977 | Functional Equations and Inequalities | John Michael Rassias (u. a.)
FUNCTIONAL EQUATIONS AND INEQUALITIES
EAN: 9789813149977
Sprache: Englisch
Von/Mit: E Thandapani K Ra John Michael Rassias

64,00 €*

Aktuell nicht verfügbar

Buch
Cover: 9783631588604 | Heinrich Behnke (1898-1979) ¿ Zwischen Mathematik und deren Didaktik
Heinrich Behnke (1898-1979) ¿ Zwischen Mathematik und deren Didaktik
EAN: 9783631588604
Sprache: Deutsch
Von/Mit: Uta Hartmann

97,20 €*

Lieferzeit 1-2 Wochen

Taschenbuch
Cover: 9783319274843 | Elliptic Regularity Theory | A First Course | Lisa Beck | Taschenbuch
Elliptic Regularity Theory
A First Course
EAN: 9783319274843
Sprache: Englisch
Von/Mit: Lisa Beck

47,25 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9781489988263 | A Course in Topological Combinatorics | Mark De Longueville | Buch
A Course in Topological Combinatorics
EAN: 9781489988263
Sprache: Englisch
Von/Mit: Mark De Longueville

64,19 €*

Aktuell nicht verfügbar

Taschenbuch
Cover: 9781461264101 | A Distributional Approach to Asymptotics | Theory and Applications
A Distributional Approach to Asymptotics
Theory and Applications
EAN: 9781461264101
Sprache: Englisch
Von/Mit: Ram P. Kanwal (u. a.)

49,90 €*

Lieferzeit 4-7 Werktage

Taschenbuch
Cover: 9781913666583 | Uncomplicated Calculus | Jay Bezie | Taschenbuch | Paperback | 2023
Uncomplicated Calculus
The Beginner's Guide to Mastering the Mathematical Language of Change
EAN: 9781913666583
Sprache: Englisch
Von/Mit: Jay Bezie

10,30 €*

Aktuell nicht verfügbar

Diese Website verwendet Cookies, um eine bestmögliche Erfahrung bieten zu können. Mehr Informationen ...