A collocation method for Fredholm integral equations of the second kind

Houstis, E. N.; Papatheodorou, T. S.

doi:10.1090/S0025-5718-1978-0458967-8

A collocation method for Fredholm integral equations of the second kind
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by E. N. Houstis and T. S. Papatheodorou PDF

Math. Comp. 32 (1978), 159-173 Request permission

Abstract:

An interpolation scheme based on piecewise cubic polynomials with Gaussian points as interpolation points is analyzed and applied to the solution of Fredholm equations of the second kind.

References

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Piecewise Cubic Hermite Interpolation at the Gaussian Points

Martin H. Schultz, Spline analysis, Prentice-Hall Series in Automatic Computation, Prentice-Hall, Inc., Englewood Cliffs, N.J., 1973. MR 0362832