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An error bound for approximate solutions of two-point boundary value problems

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Publication:1825007
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DOI10.1007/BF02239753zbMath0683.65068OpenAlexW2136160326MaRDI QIDQ1825007

John B. Kioustelidis

Publication date: 1989

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02239753


zbMATH Keywords

numerical exampleserror boundsRitz method


Mathematics Subject Classification ID

Numerical solution of boundary value problems involving ordinary differential equations (65L10) Linear boundary value problems for ordinary differential equations (34B05)


Related Items (2)

\(L_ 2\)-error bounds for approximate solutions of elliptic partial differential equations with Dirichlet-boundary conditions ⋮ A new superconvergent method for systems of nonlinear singular boundary value problems



Cites Work

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  • \(L_ 2\)-error bounds for approximate solutions of elliptic partial differential equations with Dirichlet-boundary conditions
  • Collocation with Quadratic and Cubic Splines
  • Computable Pointwise Error Bounds and the Ritz Method in One Dimension


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