New embedded boundary-type quadrature formulas for the simplex

DOI10.1007/s11075-007-9088-0zbMath1125.65020OpenAlexW2081647647MaRDI QIDQ2458323

Francesco Aldo Costabile, Francesco Dell'Accio

Publication date: 31 October 2007

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-007-9088-0

zbMATH Keywords

algorithmconvergencenumerical examplessimplexcubature formulastruncation errorsalgebraic degree of exactnessboundary type quadrature

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

Pointwise and uniform error estimates associated with Abel-Whittaker interpolation series and its dual ⋮ On some numerical integration formulas on the \(d\)-dimensional simplex ⋮ New bivariate polynomial expansion with boundary data on the simplex

Cites Work

• On the construction of multi-dimensional embedded cubature formulae
• On functions expandable in Lidstone series
• Lidstone approximation on the triangle
• Explicit polynomial expansions of regular real functions by means of even order Bernoulli polynomials and boundary values
• Completely Convex Functions and Lidstone Series
• Expansions over a simplex of real functions by means of Bernoulli polynomials
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