Approximation of Cauchy principal value integrals by piecewise Hermite quartic polynomials by spline

DOI10.1016/0893-9659(92)90141-UzbMath0756.41015MaRDI QIDQ1187935

G. Hossein Behforooz

Publication date: 13 August 1992

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

cubic splineCauchy principal value integralspiecewise Hermite quartic polynomials

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Spline approximation (41A15)

Related Items (6)

The use of spline-on-spline for the approximation of Cauchy principal value integrals ⋮ Error expansion of classical mid-point rectangle rule for computing Cauchy principal value integrals on an interval ⋮ The trapezoidal rule for computing Cauchy principal value integral on circle ⋮ Simpson's rule to approximate Hilbert integral and its application ⋮ The superconvergence of the Newton-Cotes rule for Cauchy principal value integrals ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval

Cites Work

• Spline approximations for Cauchy principal value integrals
• Piecewise-Polynomial Quadratures for Cauchy Singular Integrals
• End Conditions for Cubic Spline Interpolation
• Improved orders of approximation derived from interpolatory cubic splines
• Error Bounds for Interpolating Cubic Splines Under Various End Conditions

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