The generalized Euler-Maclaurin formula for the numerical solution of Abel-type integral equations
DOI10.1216/JIE-2010-22-1-115zbMath1202.65180OpenAlexW2045065241MaRDI QIDQ973896
Publication date: 26 May 2010
Published in: Journal of Integral Equations and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1216/jie-2010-22-1-115
stabilityconvergenceAbel equationsVolterra integral equations of the first kindEuler-Maclaurin formula
Numerical methods for integral equations (65R20) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10) Volterra integral equations (45D05) Euler-Maclaurin formula in numerical analysis (65B15)
Related Items (5)
Cites Work
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- Mechanical quadrature methods and their extrapolation for solving first kind Abel integral equations
- A fast method for solving the heat equation by layer potentials
- The Euler-Maclaurin expansion and finite-part integrals
- An error expansion for cubature with an integrand with homogeneous boundary singularities
- A generalization of discrete Gronwall inequality and its application to weakly singular Volterra integral equation of the second kind
- Superconvergence of the iterated hybrid collocation method for weakly singular Volterra integral equations
- High accuracy combination algorithm and a posteriori error estimation for solving the first kind Abel integral equations
- Fractional Linear Multistep Methods for Abel-Volterra Integral Equations of the First Kind
- An Extension of the Euler-Maclaurin Summation Formula to Functions with a Branch Singularity
- An Existence Theorem for Abel Integral Equations
- Collocation Methods for Volterra Integral and Related Functional Differential Equations
- Numerical Quadrature and Asymptotic Expansions
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