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Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions

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Title: Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions
Description: Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.
Authors: John J H Miller, Eugene O'riordan, G I Shishkin
Resource Type: eBook.
Subjects: Differential equations--Numerical solutions, Perturbation (Mathematics)
Categories: MATHEMATICS / Counting & Numeration, MATHEMATICS / Applied, MATHEMATICS / Linear & Nonlinear Programming
Database: eBook Collection (EBSCOhost)
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Header DbId: nlebk
DbLabel: eBook Collection (EBSCOhost)
An: 811823
RelevancyScore: 1044
AccessLevel: 6
PubType: eBook
PubTypeId: ebook
PreciseRelevancyScore: 1044.26904296875
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Items – Name: Title
  Label: Title
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  Data: Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions
– Name: Abstract
  Label: Description
  Group: Ab
  Data: Since the first edition of this book, the literature on fitted mesh methods for singularly perturbed problems has expanded significantly. Over the intervening years, fitted meshes have been shown to be effective for an extensive set of singularly perturbed partial differential equations. In the revised version of this book, the reader will find an introduction to the basic theory associated with fitted numerical methods for singularly perturbed differential equations. Fitted mesh methods focus on the appropriate distribution of the mesh points for singularly perturbed problems. The global errors in the numerical approximations are measured in the pointwise maximum norm. The fitted mesh algorithm is particularly simple to implement in practice, but the theory of why these numerical methods work is far from simple. This book can be used as an introductory text to the theory underpinning fitted mesh methods.
– Name: Author
  Label: Authors
  Group: Au
  Data: <searchLink fieldCode="AR" term="%22John+J+H+Miller%22">John J H Miller</searchLink><br /><searchLink fieldCode="AR" term="%22Eugene+O'riordan%22">Eugene O'riordan</searchLink><br /><searchLink fieldCode="AR" term="%22G+I+Shishkin%22">G I Shishkin</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="%22Perturbation+%28Mathematics%29%22">Perturbation (Mathematics)</searchLink>
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  Data: <searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Counting+%26+Numeration%22">MATHEMATICS / Counting & Numeration</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Applied%22">MATHEMATICS / Applied</searchLink><br /><searchLink fieldCode="ZK" term="%22MATHEMATICS+%2F+Linear+%26+Nonlinear+Programming%22">MATHEMATICS / Linear & Nonlinear Programming</searchLink>
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RecordInfo BibRecord:
  BibEntity:
    Classifications:
      – Code: 515.354
        Scheme: ddc
        Type: prePub
    Languages:
      – Code: eng
        Text: English
    Subjects:
      – SubjectFull: Differential equations--Numerical solutions
        Type: general
      – SubjectFull: Perturbation (Mathematics)
        Type: general
    Titles:
      – TitleFull: Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions
        Type: main
  BibRelationships:
    HasContributorRelationships:
      – PersonEntity:
          Name:
            NameFull: John J H Miller
      – PersonEntity:
          Name:
            NameFull: Eugene O'riordan
      – PersonEntity:
          Name:
            NameFull: G I Shishkin
      – PersonEntity:
          Name:
            NameFull: John J H Miller
      – PersonEntity:
          Name:
            NameFull: Eugene O'riordan
      – PersonEntity:
          Name:
            NameFull: G I Shishkin
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      – BibEntity:
          Dates:
            – D: 01
              M: 01
              Type: published
              Y: 2012
            – D: 06
              M: 12
              Type: profile
              Y: 2014
          Identifiers:
            – Type: isbn-print
              Value: 9789814390736
            – Type: isbn-electronic
              Value: 9789814390743
          Titles:
            – TitleFull: Fitted Numerical Methods For Singular Perturbation Problems: Error Estimates In The Maximum Norm For Linear Problems In One And Two Dimensions
              Type: main
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