On certain definite quadrature formulae

DOI10.1016/S0377-0427(96)00086-6zbMath0861.41027MaRDI QIDQ2564274

Geno Nikolov

Publication date: 7 January 1997

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

\(B\)-splinesPeano kerneldefinite quadrature formulae

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items (13)

Gaussian quadrature rules for \(C^1\) quintic splines with uniform knot vectors ⋮ On numerical solution of Fredholm and Hammerstein integral equations via Nyström method and Gaussian quadrature rules for splines ⋮ Optimal quadrature rules for odd-degree spline spaces and their application to tensor-product-based isogeometric analysis ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Numerical quadrature for Gregory quads ⋮ Gaussian quadrature for splines via homotopy continuation: rules for \(C^2\) cubic splines ⋮ Asymptotically optimal quadrature rules for uniform splines over the real line ⋮ Explicit Gaussian quadrature rules for \(C^1\) cubic splines with non-uniform knot sequences ⋮ Explicit Gaussian quadrature rules for \(C^1\) cubic splines with symmetrically stretched knot sequences ⋮ Asymptotically optimal definite quadrature formulae of 4th order ⋮ Optimal and reduced quadrature rules for tensor product and hierarchically refined splines in isogeometric analysis

Cites Work

• The fundamental theorem of algebra for monosplines satisfying boundary conditions
• Optimale Quadraturformeln mit semidefiniten Peano-Kernen
• Error bounds for Gauss type quadrature formulae related to spaces of splines with equidistant knots
• Error bounds for optimal definite quadrature formulae
• Optimale Quadraturformeln mit semidefiniten Kernen
• Comparison theorems for monosplines and best one-sided approximation
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