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  • 1
    Online Resource
    Online Resource
    Linear discrete parabolic problems (2006)
    Amsterdam ; Boston : Elsevier
    Details
    UID:
    b3kat_BV036962359
    Format: 1 Online-Ressource (xv, 286 p.) , 25 cm
    Edition: 1st ed
    Edition: Online-Ausgabe Elsevier e-book collection on ScienceDirect Sonstige Standardnummer des Gesamttitels: 041169-3
    ISBN: 0444521402 , 9780444521408
    Series Statement: North-Holland mathematics studies 203
    Note: Includes bibliographical references (p. 269-283) and index
    Additional Edition: Reproduktion von Linear discrete parabolic problems 2006
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    URL: Volltext
    URL: Volltext  (Deutschlandweit zugänglich)
    URL: Inhaltstext
    Library Location Call Number Volume/Issue/Year Availability
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    Online Access
    Stabi Berlin
    HWR Berlin
    UB Potsdam
    EUV Frankfurt
    TH Brandenburg
    HTW Berlin
    TH Wildau
    BTU Cottbus
    BHT
  • 2
    Online Resource
    Online Resource
    Linear discrete parabolic problems / (2006)
    Amsterdam ; : Elsevier,
    Details
    UID:
    almahu_9947367634902882
    Format: 1 online resource (303 p.)
    Edition: 1st ed.
    ISBN: 1-280-63118-X , 9786610631186 , 0-08-046208-1
    Series Statement: North-Holland mathematics studies, 203
    Content: This volume introduces a unified, self-contained study of linear discrete parabolic problems through reducing the starting discrete problem to the Cauchy problem for an evolution equation in discrete time. Accessible to beginning graduate students, the book contains a general stability theory of discrete evolution equations in Banach space and gives applications of this theory to the analysis of various classes of modern discretization methods, among others, Runge-Kutta and linear multistep methods as well as operator splitting methods. Key features: * Presents a unified ap
    Note: Description based upon print version of record. , Front cover; Title page; Copyright page; Preface; Table of contents; Part I EVOLUTION EQUATIONS IN DISCRETE TIME; 1 Preliminaries; 1.1 Preliminaries; 1.2 Comments and bibliographical remarks; 2 Main Results on Stability; 2.1 Stability of discrete semigroups; 2.2 Stability of discrete semigroups: some special points; 2.3 Stability of discrete evolution operators; 2.4 Stability of discrete Cauchy problems; 2.5 Comments and bibliographical remarks; 3 Operator Splitting Problems; 3.1 Estimates for discrete semigroups; 3.2 Stability of operator splitting problems , 3.3 A symmetric operator splitting method3.4 Comments and bibliographical remarks; 4 Equations with Memory; 4.1 The general case; 4.2 A particular case; 4.3 Comments and bibliographical remarks; Part II RUNGE-KUTTA METHODS; 5 Discretization by Runge-Kutta Methods; 5.1 Introductory light; 5.2 Discretization; 5.3 Connection with discrete evolution equations; 5.4 Comments and bibliographical remarks; 6 Analysis of Stability; 6.1 Some resolvent estimates; 6.2 Hölder-continuity type results; 6.3 Stability estimates; 6.4 Comments and bibliographical remarks; 7 Convergence Estimates , 7.1 Preliminaries7.2 Autonomous equations; 7.3 Non-autonomous equations; 7.4 Working against order reduction; 7.5 Comments and bibliographical remarks; 8 Variable Stepsize Approximations; 8.1 The commutative case; 8.2 The non-commutative case; 8.3 Error estimates; 8.4 Comments and bibliographical remarks; Part III OTHER DISCRETIZATION METHODS; 9 The θ-Method; 9.1 Stability results; 9.2 Comments and bibliographical remarks; 10 Methods with Splitting Operator; 11 Linear Multistep Methods; 11.1 Linear multistep discretization; 11.2 Auxiliary results; 11.3 Stability , 11.4 Comments and bibliographical remarksPart IV INTEGRO-DIFFERENTIAL EQUATIONS UNDER DISCRETIZATION; 12 Integro-Differential Equations; 12.1 Stability of discretizations; 12.2 Quadrature rules; Appendix A Functions of Linear Operators; A.1 Analytic continuation of the resolvent; A.2 Functions of bounded and sectorial operators; A.3 Fractional powers of operators; A.4 Functions of ordered non-commutative operators; Appendix B Linear Cauchy Problems in Banach Space; Bibliography; Index , English
    Additional Edition: ISBN 0-444-52140-2
    Language: English
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    Online Resource
    HU Berlin
    FU Berlin
    Charité
  • 3
    Book
    Book
    Linear discrete parabolic problems (2006)
    Amsterdam : Elsevier
    Details
    UID:
    gbv_501829350
    Format: XV, 286 S , Ill., graph. Darst.
    Edition: 1. ed.
    ISBN: 0444521402 , 9780444521408
    Series Statement: North-Holland mathematics studies 203
    Note: Includes bibliographical references and indexes
    Additional Edition: Online-Ausg. u.d.T. Bakaev, Nikolaj Ju. Linear discrete parabolic problems Amsterdam [u.a.] : Elsevier, 2006 ISBN 0444521402
    Additional Edition: ISBN 0080462081
    Additional Edition: ISBN 9780080462080
    Additional Edition: ISBN 9780444521408
    Additional Edition: Erscheint auch als Online-Ausgabe Bakaev, Nikolai Yu Linear discrete parabolic problems Amsterdam : Elsevier, 2006 ISBN 0444521402
    Additional Edition: ISBN 9780444521408
    Language: English
    Subjects: Mathematics
    RVK:
    SK 540
    Keywords: Evolutionsgleichung ; Diskretisierungsverfahren ; Lineare parabolische Differentialgleichung ; Stabilität ; Diskretisierung ; Runge-Kutta-Verfahren ; Banach-Raum
    URL: Inhaltsverzeichnis
    URL: Verlagsangaben
    URL: Inhaltstext
    URL: http://www.loc.gov/catdir/enhancements/fy0625/2005055340-t.html
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    UB Potsdam get availability status
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