Parameter tuning and repeated application of the IMT-type transformation in numerical quadrature

DOI10.1007/BF01396437zbMath0478.65010MaRDI QIDQ1161239

Kazuo Murota, Masao Iri

Publication date: 1982

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

Full work available at URL: https://eudml.org/doc/132767

zbMATH Keywords

numerical resultsasymptotic error estimatesend-point singularitiesIMT rule

Mathematics Subject Classification ID

Integration, integrals of Cauchy type, integral representations of analytic functions in the complex plane (30E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (9)

On the implementation of a modified Sag-Szekeres quadrature method ⋮ A remark on the numerical computation of improper integrals ⋮ An IMT-type quadrature formula with the same asymptotic performance as the DE formula ⋮ The double-exponential transformation in numerical analysis ⋮ Quadrature of Integrands with a Logarithmic Singularity ⋮ Development of a Gauss-Chandrasekhar Quadrature for the Boundary Sources Method with Anisotropic Scattering ⋮ On a certain quadrature formula ⋮ The trapezoidal rule for analytic functions of rapid decrease ⋮ Quadrature formulas obtained by variable transformation and the DE-rule

Cites Work

• Unnamed Item
• Unnamed Item
• Optimal convergence of minimum norm approximations in \(H_p\)
• Double exponential formulas for numerical integration
• Automatic computation of integrals with singular integrand, over a finite or an infinite range
• An IMT-type double exponential formula for numerical integration
• On a certain quadrature formula
• Numerical integration of analytic functions
• Quadrature formulas obtained by variable transformation
• The Tanh Rule for Numerical Integration
• Numerical Evaluation of High-Dimensional Integrals

This page was built for publication: Parameter tuning and repeated application of the IMT-type transformation in numerical quadrature