Errors, condition numbers, and guaranteed accuracy of higher-dimensional spherical cubatures

DOI10.1134/S0037446612060043zbMath1277.65016OpenAlexW2157929784MaRDI QIDQ1935734

V. L. Vaskevich

Publication date: 19 February 2013

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446612060043

zbMATH Keywords

guaranteed accuracyerror functionalembedding constants and functionsGauss's quadrature formulapractical errorSobolev space on a higher-dimensional spherespherical cubature formula

Mathematics Subject Classification ID

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

Related Items (3)

Spherical cubature formulas in Sobolev spaces ⋮ Linear finite functional in the weighted Sobolev space ⋮ The error and guaranteed accuracy of cubature formulas in multidimensional periodic Sobolev spaces

Cites Work

• Embedding constants and embedding functions for Sobolev-like spaces on the unit sphere
• An unsaturated numerical method for the exterior axisymmetric Neumann problem for Laplace's equation
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