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Minimum error bounds for multidimensional spline approximation

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Publication:2550603
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DOI10.1016/S0022-0000(71)80026-0zbMath0231.65013MaRDI QIDQ2550603

J. Ben Rosen

Publication date: 1971

Published in: Journal of Computer and System Sciences (Search for Journal in Brave)



Mathematics Subject Classification ID

Numerical computation using splines (65D07) Best approximation, Chebyshev systems (41A50) Spline approximation (41A15) Numerical solution of boundary value problems involving ordinary differential equations (65L10)


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Cites Work

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  • Extremal, orthogonality and convergence properties of multidimensional splines
  • Piecewise Hermite interpolation in one and two variables with applications to partial differential equations
  • On error bounds for spline interpolation
  • Computational methods for best spline function approximation
  • A Comparison of Uniform Approximations on an Interval and a Finite Subset Thereof
  • Approximate Solution and Error Bounds for Quasi-Linear Elliptic Boundary Value Problems
  • An interactive display for approximation by linear programming
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