The error and guaranteed accuracy of cubature formulas in multidimensional periodic Sobolev spaces

DOI10.1134/S0037446614050024zbMath1316.65035MaRDI QIDQ486360

V. L. Vaskevich

Publication date: 15 January 2015

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

zbMATH Keywords

error boundcubature formulaembedding constantembedding functionsguaranteed accuracyperiodic Sobolev space

Mathematics Subject Classification ID

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

Related Items (4)

The error estimates of minimal and almost minimal cubature formulas on classes of periodic functions ⋮ Convergence of cubature formulas of high trigonometric precision in multidimensional periodic sobolev spaces ⋮ A Majorant for the Multiplicities of Eigenvalues of the Laplace Operator with Periodic Conditions ⋮ The infinite convergence order of near minimal cubature formulas on classes of periodic functions

Cites Work

• Embedding constants and embedding functions for Sobolev-like spaces on the unit sphere
• Sequences of functionals with a boundary layer
• Errors, condition numbers, and guaranteed accuracy of higher-dimensional spherical cubatures
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