Enhanced trapezoidal rule for discontinuous functions

DOI10.1016/j.jcp.2023.112386OpenAlexW4385075842MaRDI QIDQ6095137

Bengt Fornberg, Andrew Lawrence

Publication date: 27 November 2023

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jcp.2023.112386

zbMATH Keywords

quadraturetrapezoidal ruleSimpson's ruleNewton-CotesGregory's method

Mathematics Subject Classification ID

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Approximations and expansions (41Axx) Acceleration of convergence in numerical analysis (65Bxx)

Cites Work

• Divergence (Runge phenomenon) for least-squares polynomial approximation on an equispaced grid and mock-Chebyshev subset interpolation
• Quadrature rules based on partial fraction expansions
• An improved Gregory-like method for 1-D quadrature
• A parallel-in-time approach for wave-type PDEs
• Recent advances in linear barycentric rational interpolation
• Stable high-order quadrature rules with equidistant points
• Extrapolation quadrature from equispaced samples of functions with jumps
• AAA interpolation of equispaced data
• The Exponentially Convergent Trapezoidal Rule
• Improving the Accuracy of the Trapezoidal Rule
• Gregory's Method for Numerical Integration
• The calculation of Fourier coefficients by the Möbius inversion of the Poisson summation formula. III. Functions having algebraic singularities
• Optimale Fehlerschranken für die Quadraturformel von Gregory
• The AAA Algorithm for Rational Approximation

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