The use of spline-on-spline for the approximation of Cauchy principal value integrals
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Publication:1354303
DOI10.1016/0096-3003(95)00277-4zbMath0904.65026OpenAlexW2052235948WikidataQ127955644 ScholiaQ127955644MaRDI QIDQ1354303
Publication date: 19 January 1999
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/0096-3003(95)00277-4
Numerical computation using splines (65D07) Spline approximation (41A15) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Cites Work
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- Spline collocation for singular integro-differential equations over (0,1)
- Spline product quadrature rules for Cauchy singular integrals
- Quadratic spline-on-spline
- Spline approximations for Cauchy principal value integrals
- Quadrature rules for Prandtl's integral equation
- On the weights of certain quadratures for the numerical evaluation of Cauchy principal value integrals and their derivatives
- Cubic and quintic spline-on-spline interpolation
- Overconvergence properties of quintic interpolatory splines
- The use of piecewise quadratic polynomials for the solution of singular integral equations of Cauchy type
- A method for the numerical solution of singular integral equations with a principal value integral
- The numerical evaluation of one-dimensional Cauchy principal value integrals
- Error bounds for spline-on-spline interpolation
- Manifold Subbotin spline
- Approximation of Cauchy principal value integrals by piecewise Hermite quartic polynomials by spline
- On spline-on-spline numerical integration formula
- A comparison of the \(E(3)\) and not-a-knot cubic splines
- Some Gauss-type formulae for the evaluation of Cauchy principal values of integrals
- On the Numerical Evaluation of Singular Integrals of Cauchy Type
- On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
- On the Convergence of Some Cubic Spline Interpolation Schemes
- A numerical technique for the solution of singular integral equations of the second kind
- Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
- Piecewise cubic interpolatory polynomials and approximate solution of singular integral equations
- On the Convergence of an Interpolatory Product Rule for Evaluating Cauchy Principal Value Integrals
- On the Convergence of Product Formulas for the Numerical Evaluation of Derivatives of Cauchy Principal Value Integrals
- Product-Integration Rules Based on the Zeros of Jacobi Polynomials
- End Conditions for Interpolatory Quintic Splines
- End Conditions for Cubic Spline Interpolation
- Improved orders of approximation derived from interpolatory cubic splines
- Orthogonal Polynomials Associated with Singular Integral Equations Having a Cauchy Kernel
- The Numerical Evaluation of the Cauchy Transform on Simple Closed Curves
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