On integrating vertex singularities using extrapolation

DOI10.1007/BF01935016zbMath0822.65015OpenAlexW1964613269MaRDI QIDQ1343041

Terje O. Espelid

Publication date: 15 October 1995

Published in: BIT (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01935016

zbMATH Keywords

numerical stabilityadaptive algorithmsextrapolation techniquesubdivision strategyintegration of vertex singularitiesinternal point singularities

Mathematics Subject Classification ID

Extrapolation to the limit, deferred corrections (65B05) Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items (3)

DECUHR: An algorithm for automatic integration of singular functions over a hyperrectangular region ⋮ Integrating composed singularities using nonuniform subdivision and extrapolation ⋮ The design and analysis of the generalized finite element method

Uses Software

• DCUTRI

Cites Work

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• Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge
• Applications of extrapolation techniques to multidimensional quadrature of some integrand functions with a singularity
• Quadrature Error Functional Expansions for the Simplex When the Integrand Function has Singularities at Vertices
• New Euler-Maclaurin Expansions and Their Application to Quadrature Over the s-Dimensional Simplex
• Partition-extrapolation methods for numerical quadratures
• An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
• Quadrature over a Simplex: Part 1. A Representation for the Integrand Function
• Quadrature over a Simplex: Part 2. A Representation for the Error Functional
• Algorithm 706: DCUTRI: an algorithm for adaptive cubature over a collection of triangles

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