6533b82afe1ef96bd128cab8

RESEARCH PRODUCT

Gauss-Type Quadrature Formulae for Parabolic Splines with Equidistant Knots

Geno NikolovCorina Simian

subject

Physics::Computational PhysicsSobolev spaceAsymptotically optimal algorithmMathematical analysisGaussEquidistantConstant errorMathematics::Numerical AnalysisMathematicsQuadrature (mathematics)

description

We construct Gauss, Lobatto, and Radau quadrature formulae associated with the spaces of parabolic splines with equidistant knots. These quadrature formulae are known to be asymptotically optimal in Sobolev spaces W p 3. Sharp estimates for the error constant in W ∞ 3 are given.

yearjournalcountryeditionlanguage
2010-01-01
https://doi.org/10.1007/978-1-4419-6594-3_14