Advances in the theory of box integrals

DOI10.1090/S0025-5718-10-02338-0zbMath1227.11127WikidataQ56935531 ScholiaQ56935531MaRDI QIDQ3584854

Jonathan M. Borwein, David H. Bailey, Richard E. Crandall

Publication date: 30 August 2010

Published in: Mathematics of Computation (Search for Journal in Brave)

zbMATH Keywords

box integrals

Mathematics Subject Classification ID

Numerical integration (65D30) Evaluation of number-theoretic constants (11Y60)

Related Items

Higher-Dimensional Box Integrals ⋮ The band structure of a model of spatial random permutation ⋮ Random restricted matching and lower bounds for combinatorial optimization ⋮ Expectations on fractal sets ⋮ Extremal uniform distribution and random chord lengths ⋮ Automated simplification of large symbolic expressions ⋮ Korovkin’s Theorem for Functionals and Limits for Box Integrals ⋮ On positive linear functionals and operators associated with generalized means ⋮ Asymptotic constants in averaged Hölder inequalities ⋮ On The Use of Conformal Maps for the Acceleration of Convergence of the Trapezoidal Rule and Sinc Numerical Methods

Uses Software

• LINPACK
• DLMF
• ARPREC
• SumTools

Cites Work

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• Box integrals
• Numerical integration of analytic functions
• Quadrature formulas obtained by variable transformation
• Parallel integer relation detection: Techniques and applications
• Ten Problems in Experimental Mathematics
• Integrals of the Ising class
• A Proof of a Recurrence for Bessel Moments
• Concerning $\int_0^1 \cdots \int_0^1 {(x_1^2 + \cdots + x_k^2 )} ^{{1 / 2}} dx_1 \cdots ,dx_k $ and a Taylor Series Method
• Analysis of PSLQ, an integer relation finding algorithm
• A Comparison of Three High-Precision Quadrature Schemes