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  • 1
    Online Resource
    Online Resource
    Numerical analysis of wavelet methods / (2003)
    Amsterdam ; : Elsevier,
    Details
    UID:
    almahu_9947367688602882
    Format: 1 online resource (357 p.)
    Edition: 1st ed.
    ISBN: 1-281-27957-9 , 9786611279578 , 0-08-053785-5
    Series Statement: Studies in mathematics and its applications, v. 32
    Content: Since their introduction in the 1980's, wavelets have become a powerful tool in mathematical analysis, with applications such as image compression, statistical estimation and numerical simulation of partial differential equations. One of their main attractive features is the ability to accurately represent fairly general functions with a small number of adaptively chosen wavelet coefficients, as well as to characterize the smoothness of such functions from the numerical behaviour of these coefficients. The theoretical pillar that underlies such properties involves approximation theory and func
    Note: Description based upon print version of record. , Cover; Contents; Introduction; Notations; Chapter 1. Basic examples; 1.1 Introduction; 1.2 The Haar system; 1.3 The Schauder hierarchical basis; 1.4 Multivariate constructions; 1.5 Adaptive approximation; 1.6 Multilevel preconditioning; 1.7 Conclusions; 1.8 Historical notes; Chapter 2. Multiresolution approximation; 2.1 Introduction; 2.2 Multiresolution analysis; 2.3 Refinable functions; 2.4 Subdivision schemes; 2.5 Computing with refinable functions; 2.6 Wavelets and multiscale algorithms; 2.7 Smoothness analysis; 2.8 Polynomial exactness; 2.9 Duality, orthonormality and interpolation , 2.10 Interpolatory and orthonormal wavelets2.11 Wavelets and splines; 2.12 Bounded domains and boundary conditions; 2.13 Point values, cell averages, finite elements; 2.14 Conclusions; 2.15 Historical notes; Chapter 3. Approximation and smoothness; 3.1 Introduction; 3.2 Function spaces; 3.3 Direct estimates; 3.4 Inverse estimates; 3.5 Interpolation and approximation spaces; 3.6 Characterization of smoothness classes; 3.7 LP-unstable approximation and 0 〈 p 〈 1; 3.8 Negative smoothness and LP-spaces; 3.9 Bounded domains; 3.10 Boundary conditions; 3.11 Multilevel preconditioning , 3.12 Conclusions3.13 Historical notes; Chapter 4. Adaptivity; 4.1 Introduction; 4.2 Nonlinear approximation in Besov spaces; 4.3 Nonlinear wavelet approximation in Lp; 4.4 Adaptive finite element approximation; 4.5 Other types of nonlinear approximations; 4.6 Adaptive approximation of operators; 4.7 Nonlinear approximation and PDE's; 4.8 Adaptive multiscale processing; 4.9 Adaptive space refinement; 4.10 Conclusions; 4.11 Historical notes; References; Index , English
    Additional Edition: ISBN 1-4933-0227-2
    Additional Edition: ISBN 0-444-51124-5
    Language: English
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
    FU Berlin
    Charité
  • 2
    Online Resource
    Online Resource
    Model reduction and approximation : theory and algorithms (2017)
    Philadelphia, Pennsylvania :Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104),
    Details
    UID:
    almahu_9947978972902882
    Format: 1 PDF (xii, 412 pages).
    ISBN: 9781611974829
    Series Statement: Computational science and engineering ; 15
    Content: Many physical, chemical, biomedical, and technical processes can be described by partial differential equations or dynamical systems. In spite of increasing computational capacities, many problems are of such high complexity that they are solvable only with severe simplifications, and the design of efficient numerical schemes remains a central research challenge. This book presents a tutorial introduction to recent developments in mathematical methods for model reduction and approximation of complex systems. Model Reduction and Approximation: Theory and Algorithms contains three parts that cover (I) sampling-based methods, such as the reduced basis method and proper orthogonal decomposition, (II) approximation of high-dimensional problems by low-rank tensor techniques, and (III) system-theoretic methods, such as balanced truncation, interpolatory methods, and the Loewner framework; is tutorial in nature, giving an accessible introduction to state-of-the-art model reduction and approximation methods; and covers a wide range of methods drawn from typically distinct communities (sampling based, tensor based, system-theoretic).
    Note: Preface -- part I. Sampling-based methods -- 1. Pod for linear-quadratic optimal control -- 2. A tutorial on RB-methods -- 3. The theoretical foundation of reduced basis methods -- part II. Tensor-based methods -- 4. Low-rank methods for high-dimensional approximation -- 5. Model reduction for high-dimensional parametric problems by tensor techniques -- part III. System-theoretic methods -- 6. Model order reduction based on systems building -- 7. Interpolatory model reduction -- 8. The loewner framework for model reduction -- 9. Comparison of methods for PMOR. , Also available in print version. , Mode of access: World Wide Web. , System requirements: Adobe Acrobat Reader.
    Additional Edition: Print version: ISBN 9781611974812
    Language: English
    URL: SIAM
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    HU Berlin
  • 3
    Book
    Book
    Model reduction and approximation : theory and algorithms (2017)
    Philadelphia : siam, Society for Industrial and Applied Mathematics
    Details
    UID:
    b3kat_BV044556764
    Format: xx, 412 Seiten , Illustrationen, Diagramme
    ISBN: 9781611974812
    Series Statement: Computational science & engineering CS 15
    Note: Includes bibliographical references and index
    Additional Edition: Erscheint auch als Online-Ausgabe ISBN 978-1-611974-82-9
    Language: English
    Subjects: Mathematics
    RVK:
    SK 905
    Keywords: Mathematisches Modell ; Optimierung ; Berechnungskomplexität
    Author information: Benner, Peter 1967-
    Author information: Cohen, Albert 1965-
    Author information: Ohlberger, Mario
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    TU Berlin get availability status
  • 4
    Online Resource
    Online Resource
    Curves and Surfaces : 7th International Conference, Avignon, France, June 24 - 30, 2010, Revised Selected Papers (2012)
    Berlin, Heidelberg : Springer Berlin Heidelberg
    Details
    UID:
    gbv_1651281483
    Format: Online-Ressource (X, 748 p. 355 illus, digital)
    ISBN: 9783642274138
    Series Statement: Lecture Notes in Computer Science 6920
    Content: This volume constitutes the thoroughly refereed post-conference proceedings of the 7th International Conference on Curves and Surfaces, held in Avignon, in June 2010. The conference had the overall theme: "Representation and Approximation of Curves and Surfaces and Applications". The 39 revised full papers presented together with 9 invited talks were carefully reviewed and selected from 114 talks presented at the conference. The topics addressed by the papers range from mathematical foundations to practical implementation on modern graphics processing units and address a wide area of topics such as computer-aided geometric design, computer graphics and visualisation, computational geometry and topology, geometry processing, image and signal processing, interpolation and smoothing, scattered data processing and learning theory and subdivision, wavelets and multi-resolution methods.
    Note: Literaturangaben
    Additional Edition: ISBN 9783642274121
    Additional Edition: Buchausg. u.d.T. Curves and surfaces Berlin : Springer, 2012 ISBN 9783642274121
    Additional Edition: ISBN 3642274129
    Language: English
    Subjects: Computer Science
    RVK:
    SS 4800
    Keywords: Fläche ; Kurve ; Konferenzschrift
    DOI: 10.1007/978-3-642-27413-8
    URL: Volltext  (lizenzpflichtig)
    URL: Volltext
    URL: Cover
    URL: Inhaltstext
    Author information: Lyche, Tom
    Author information: Cohen, Albert 1965-
    Author information: Schumaker, Larry L. 1939-
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    UB Potsdam
  • 5
    Book
    Book
    Curve and surface fitting : Saint-Malo 99 (2000)
    Nashville, Tenn. : Vanderbilt University Press
    Details
    UID:
    gbv_308862996
    Format: XX, 420 S , graph. Darst , 24 cm
    Edition: 1. ed.
    ISBN: 0826513573
    Series Statement: Innovations in applied mathematics
    Note: Includes bibliographical references
    Language: English
    Subjects: Mathematics
    RVK:
    SD 1999
    Keywords: Kurve ; Fläche ; Computergrafik ; Geometrische Modellierung ; Spline-Funktion ; Konferenzschrift
    URL: Verlagsangaben
    URL: Inhaltstext
    Author information: Cohen, Albert 1965-
    Library Location Call Number Volume/Issue/Year Availability
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    Book
    Stabi Berlin get availability status
  • 6
    Online Resource
    Online Resource
    Model reduction and approximation : theory and algorithms (2017)
    Philadelphia : SIAM, Society for Industrial and Applied Mathematics
    Details
    UID:
    b3kat_BV044415542
    Format: 1 Online-Ressource (xx, 412 Seiten)
    ISBN: 9781611974829
    Series Statement: Computational science and engineering 15
    Additional Edition: Erscheint auch als Druck-Ausgabe ISBN 978-1-61197-481-2
    Language: English
    Subjects: Mathematics
    RVK:
    SK 905
    Keywords: Mathematisches Modell ; Optimierung ; Berechnungskomplexität
    DOI: 10.1137/1.9781611974829
    URL: Volltext  (URL des Erstveröffentlichers)
    Author information: Benner, Peter 1967-
    Author information: Cohen, Albert 1965-
    Author information: Ohlberger, Mario
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Online Access
    Open Access Request
    TU Berlin
  • 7
    Online Resource
    Online Resource
    A celebration of the ties that bind us : connections between actuarial science and mathematical finance (2018)
    Basel ; Beijing ; Wuhan ; Barcelona ; Belgrade : MDPI
    Details
    UID:
    b3kat_BV044795041
    Format: 1 Online-Ressource (vii, 206 Seiten) , Diagramme
    Edition: First edition
    ISBN: 9783038427346
    Note: This edition is a reprint of the special issue published online in the open access journal Risks (ISSN 2227-9091) in 2017 (available at: http://www.mdpi.com/journal/risks/special_issues/actuarial_science).
    Additional Edition: Erscheint auch als Druck-Ausgabe, paperback ISBN 978-3-03842-733-9
    Language: English
    Keywords: Aufsatzsammlung
    URL: Volltext  (kostenfrei)
    Author information: Cohen, Albert 1965-
    Library Location Call Number Volume/Issue/Year Availability
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    Online Resource
    Fulltext
    EUV Frankfurt
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