Richardson Extrapolation : Practical Aspects and Applications

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Title: Richardson Extrapolation : Practical Aspects and Applications
Description: Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book.Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations. ContentsThe basic properties of Richardson extrapolationRichardson extrapolation for explicit Runge-Kutta methodsLinear multistep and predictor-corrector methodsRichardson extrapolation for some implicit methodsRichardson extrapolation for splitting techniquesRichardson extrapolation for advection problemsRichardson extrapolation for some other problemsGeneral conclusions
Authors: Zahari Zlatev, Ivan Dimov, István Faragó, Ágnes Havasi
Resource Type: eBook.
Subjects: Differential equations--Numerical solutions, Differential equations, Partial--Numerical solutions
Categories: MATHEMATICS / Numerical Analysis, MATHEMATICS / Differential Equations / Ordinary
Database: eBook Collection (EBSCOhost)
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An: 1636964
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PubTypeId: ebook
PreciseRelevancyScore: 1077.00524902344
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  Data: Richardson Extrapolation : Practical Aspects and Applications
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  Label: Description
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  Data: Scientists and engineers are mainly using Richardson extrapolation as a computational tool for increasing the accuracy of various numerical algorithms for the treatment of systems of ordinary and partial differential equations and for improving the computational efficiency of the solution process by the automatic variation of the time-stepsizes. A third issue, the stability of the computations, is very often the most important one and, therefore, it is the major topic studied in all chapters of this book.Clear explanations and many examples make this text an easy-to-follow handbook for applied mathematicians, physicists and engineers working with scientific models based on differential equations. ContentsThe basic properties of Richardson extrapolationRichardson extrapolation for explicit Runge-Kutta methodsLinear multistep and predictor-corrector methodsRichardson extrapolation for some implicit methodsRichardson extrapolation for splitting techniquesRichardson extrapolation for advection problemsRichardson extrapolation for some other problemsGeneral conclusions
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  Data: <searchLink fieldCode="AR" term="%22Zahari+Zlatev%22">Zahari Zlatev</searchLink><br /><searchLink fieldCode="AR" term="%22Ivan+Dimov%22">Ivan Dimov</searchLink><br /><searchLink fieldCode="AR" term="%22István+Faragó%22">István Faragó</searchLink><br /><searchLink fieldCode="AR" term="%22Ágnes+Havasi%22">Ágnes Havasi</searchLink>
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  Data: eBook.
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  Data: <searchLink fieldCode="DE" term="%22Differential+equations--Numerical+solutions%22">Differential equations--Numerical solutions</searchLink><br /><searchLink fieldCode="DE" term="%22Differential+equations%2C+Partial--Numerical+solutions%22">Differential equations, Partial--Numerical solutions</searchLink>
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    Classifications:
      – Code: 510
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differential equations--Numerical solutions
        Type: general
      – SubjectFull: Differential equations, Partial--Numerical solutions
        Type: general
    Titles:
      – TitleFull: Richardson Extrapolation : Practical Aspects and Applications
        Type: main
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      – PersonEntity:
          Name:
            NameFull: Zahari Zlatev
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            NameFull: Ivan Dimov
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            NameFull: István Faragó
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            NameFull: Ágnes Havasi
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            NameFull: Zahari Zlatev
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            NameFull: Ivan Dimov
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            NameFull: István Faragó
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            NameFull: Ágnes Havasi
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          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2017
            – D: 05
              M: 01
              Type: profile
              Y: 2018
          Identifiers:
            – Type: isbn-print
              Value: 9783110516494
            – Type: isbn-electronic
              Value: 9783110531985
            – Type: isbn-electronic
              Value: 9783110533002
          Numbering:
            – Type: volume
              Value: 00002
          Titles:
            – TitleFull: Richardson Extrapolation : Practical Aspects and Applications
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