Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval

DOI10.1155/2021/5544575zbMath1477.65054OpenAlexW3137329387WikidataQ114069973 ScholiaQ114069973MaRDI QIDQ2034487

Lingling Wei, Chunxiao Yu

Publication date: 22 June 2021

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

Full work available at URL: https://doi.org/10.1155/2021/5544575

Mathematics Subject Classification ID

Numerical integration (65D30)

Cites Work

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• A practical algorithm for computing Cauchy principal value integrals of oscillatory functions
• An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application
• The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals
• The superconvergence of composite Newton-Cotes rules for Hadamard finite-part integral on a circle
• Superconvergence and ultraconvergence of Newton-Cotes rules for supersingular integrals
• Computing Cauchy principal value integrals using a standard adaptive quadrature
• Spline approximations for Cauchy principal value integrals
• On the evaluation of Cauchy principal value integrals of oscillatory functions
• On the approximate computation of certain strongly singular integrals
• Gaussian formulae for the calculation of Cauchy principal value integrals and their convergence
• Approximation of Cauchy principal value integrals by piecewise Hermite quartic polynomials by spline
• An extension of Clenshaw-Curtis quadrature
• Error expansion of trapezoidal rule for certain two-dimensional Cauchy principal value integrals
• Numerical analysis for one-dimensional Cauchy singular integral equations
• On the convergence of interpolatory-type quadrature rules for evaluating Cauchy integrals
• Gaussian quadrature formulae of the third kind for Cauchy principal value integrals: Basic properties and error estimates
• Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels
• Asymptotic error expansions and splitting extrapolation algorithm for two classes of two-dimensional Cauchy principal-value integrals
• Error expansion of piecewise constant interpolation rule for certain two-dimensional Cauchy principal value integrals
• Linear barycentric rational collocation method for solving second-order Volterra integro-differential equation
• The adaptive composite trapezoidal rule for Hadamard finite-part integrals on an interval
• Uniform approximation to Cauchy principal value integrals with logarithmic singularity
• The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
• Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval
• Error Expansion of Classical Trapezoidal Rule forComputing Cauchy Principal Value Integral
• On error for Cauchy principal integrals and Cauchy-type integrals under perturbation of integral curve and their applications
• Superconvergence of the Composite Rectangle Rule for Computing Hypersingular Integral on Interval
• Linear barycentric rational collocation method for solving heat conduction equation

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