The use of rational functions in numerical quadrature
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Publication:5946586
DOI10.1016/S0377-0427(00)00637-3zbMath0985.65017MaRDI QIDQ5946586
Publication date: 27 May 2002
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
remainder termCauchy principal value integralsGauss-Kronrad quadratureGauss-Turán quadraturerational Fejér quadraturerational Gaussrational quadrature rules
Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Remainders in approximation formulas (41A80)
Related Items (14)
Numerically exact integration of a family of axisymmetric finite elements ⋮ Comparison between Borel-Padé summation and factorial series, as time integration methods ⋮ Convergence and computation of simultaneous rational quadrature formulas ⋮ Uncertainty quantification in computational linear structural dynamics for viscoelastic composite structures ⋮ Gauss-type quadrature rules with respect to external zeros of the integrand ⋮ Exact cubature rules for symmetric functions ⋮ Structured eigenvalue problems for rational Gauss quadrature ⋮ Evaluation of finite part integrals using a regularization technique that decreases instability ⋮ On the evaluation of layer potentials close to their sources ⋮ Gauss rules associated with nearly singular weights ⋮ A Nyström scheme with rational quadrature applied to edge crack problems ⋮ Adaptive \(w\)-refinement: a new paradigm in isogeometric analysis ⋮ Construction of generalized Gauss-Jacobi quadratures by means of computer algebra methods ⋮ Rational averaged gauss quadrature rules
Uses Software
Cites Work
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