Nonlinear quadrature rules in the presence of a singularity

DOI10.1016/0898-1221(78)90035-4zbMath0388.65009OpenAlexW2065888366MaRDI QIDQ1250681

Helmut Werner, Luc Wuytack

Publication date: 1978

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0898-1221(78)90035-4

Mathematics Subject Classification ID

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

Related Items (3)

A bibliography of the works of Prof. Dr. H. Werner ⋮ In defense of linear quadrature rules ⋮ Weighted nonstandard quadrature formulas based on values of linear differential operators

Cites Work

• Ausdehnung des Rombergschen Prinzips
• Numerical integration by using nonlinear techniques
• Predictor-corrector formulas based on rational interpolants
• Automatic computation of integrals with singular integrand, over a finite or an infinite range
• A generalisation of multistep methods for ordinary differential equations
• The efficiency of extrapolation methods for numerical integration
• Genäherte Integration in der Nähe eines einfachen Pols
• Numerische Quadratur von Funktionen mit Singularitäten
• Interpolation and Integration of Initial Value Problems of Ordinary Differential Equations by Regular Splines
• Romberg's method for certain integrals involving a singularity
• Romberg integration for a class of singular integrands
• Numerical Quadrature and Asymptotic Expansions
• On the Definite Integration of Singular Integrands
• Romberg tables for singular integrands
• Numerical Quadrature by the ε-Algorithm
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