Some new linear relations for even degree polynomial splines on a uniform mesh

DOI10.1007/BF01932782zbMath0454.65011OpenAlexW2042385328MaRDI QIDQ3902389

No author found.

Publication date: 1980

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01932782

zbMATH Keywords

truncation errorseven degree polynomial splines

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (7)

Periodic even degree spline interpolation on a uniform partition ⋮ On consistency relations for polynomial splines on a uniform partition ⋮ Spline-based DQM for multi-dimensional PDEs: application to biharmonic and Poisson equations in 2D and 3D ⋮ Some new consistency relations connecting spline values and integrals of the spline ⋮ Some new linear relations for odd degree polynomial splines at mid- points ⋮ Short term consistency relations for doubly polynomial splines ⋮ Some new consistency relations connecting spline values at mesh and mid points

Cites Work

• Unnamed Item
• Smooth spline approximations for the solution of a boundary value problem with engineering applications
• Spline solutions for nonlinear two point boundary value problems
• Explicit Error Bounds for Periodic Splines of Odd Order on a Uniform Mesh
• Linear dependence relations for polynomial splines at midknots
• 𝑂(ℎ^{2𝑛+2-𝑙}) bounds on some spline interpolation errors
• Linear Dependence Relations Connecting Equal Interval Nth Degree Splines and Their Derivatives

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