Numerical integration by means of adapted Euler summation formulas

DOI10.1007/BF01399694zbMath0616.65024OpenAlexW2072976925MaRDI QIDQ1821500

Yanyan Li

Publication date: 1987

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133184

zbMATH Keywords

numerical examplescancellationcubature formulastruncation erroroscillating functionsEuler summation formulas

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (2)

Romberg extrapolation for Euler summation-based cubature on regular regions ⋮ Integration On Three-Dimensional Regular Regions Based On (Modified) Euler Summation

Cites Work

• Multidimensional Euler and Poisson summation formulas
• A class of multidimensional periodic splines
• Eine Verallgemeinerung der Hardy-Landauschen Identität
• The calculation of trigonometric Fourier coefficients
• Numerical approximation of Fourier-transforms
• An introduction to the geometry of numbers.
• Über Integrale auf konvexen Körpern. I, II
• On the calculation of lattice sums
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