Currently displaying 1 – 2 of 2

Showing per page

Order by Relevance | Title | Year of publication

Numerical solution of Cauchy type singular integral equations by use of the Lobatto-Jacobi numerical integration rule

Nikolaos I. Ioakimidis;  Pericles S. Theocaris — 1978

Aplikace matematiky

The Lobatto-Jacobi numerical integration rule can be extended so as to apply to the numerical evaluation of Cauchy type principal value integrals and the numerical solution of singular intergral equations with Cauchy type kernels by reduction to systems of linear equations. To this end, the integrals in such a singular integral equation are replaced by sums, as if they were regular integrals, after the singular integral equation is applied at appropriately selected points of the integration interval....

Laguerre polynomials in the inversion of Mellin transform

George J. Tsamasphyros;  Pericles S. Theocaris — 1981

Aplikace matematiky

In order to use the well known representation of the Mellin transform as a combination of two Laplace transforms, the inverse function g ( r ) is represented as an expansion of Laguerre polynomials with respect to the variable t = l n r . The Mellin transform of the series can be written as a Laurent series. Consequently, the coefficients of the numerical inversion procedure can be estimated. The discrete least squares approximation gives another determination of the coefficients of the series expansion. The last...

Page 1

Download Results (CSV)