Generalizing the trapezoidal rule in the complex plane

DOI10.1007/s11075-020-00963-0zbMath1490.65039OpenAlexW3045327592MaRDI QIDQ2021767

Bengt Fornberg

Publication date: 27 April 2021

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

Full work available at URL: https://doi.org/10.1007/s11075-020-00963-0

zbMATH Keywords

contour integralstrapezoidal rulehexagonal gridEuler-Maclaurin formulaequispaced grids

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15) Numerical integration (65D30)

Related Items (3)

Finite difference formulas in the complex plane ⋮ Computation of fractional derivatives of analytic functions ⋮ Euler–Maclaurin expansions without analytic derivatives

Cites Work

• A numerical methodology for the Painlevé equations
• The Exponentially Convergent Trapezoidal Rule
• Visual Complex Functions
• Numerical Differentiation of Analytic Functions
• Numerical Integration of Periodic Functions: A Few Examples
• Improving the Accuracy of the Trapezoidal Rule
• Complex Variables and Analytic Functions: An Illustrated Introduction
• Is Gauss Quadrature Better than Clenshaw–Curtis?
• Numerical Quadrature of Analytic and Harmonic Functions

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