On the numerical solution of the generalized Prandtl equation using variation-di/-minishing splines

DOI10.1016/0377-0427(94)00024-UzbMath0838.65134MaRDI QIDQ1903641

Elena Marchetti, Philip Rabinowitz, Franca Caliò

Publication date: 9 June 1996

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

convergencenumerical examplesCauchy principal value integralsNyström methodPrandtl integral equationsSchönberg variation-diminishing splines

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) General aerodynamics and subsonic flows (76G25) Numerical quadrature and cubature formulas (65D32) Integral equations with kernels of Cauchy type (45E05)

Related Items (6)

Numerical approaches for systems of Volterra-Fredholm integral equations ⋮ Application of approximating splines for the solution of Cauchy singular integral equations ⋮ The use of modified quasi-interpolatory splines for the solution of the Prandtl equation ⋮ Projector-splines in the numerical solution of integro-differential equations ⋮ About some numerical approaches for mixed integral equations ⋮ An algorithm based on Q. I. modified splines for singular integral models

Cites Work

• Numerical integration based on approximating splines
• Spline approximations for Cauchy principal value integrals
• Quadrature rules for Prandtl's integral equation
• Local spline approximation methods
• An algorithm for numerical integration based on quasi-interpolating splines
• Application of approximating splines for the solution of Cauchy singular integral equations
• Numerical integration based on quasi-interpolating splines
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• Uniform Convergence Results for Cauchy Principal Value Integrals

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