Some numerical algorithms to evaluate Hadamard finite-part integrals
The authors present some numerical algorithms for the evaluation of Hadamard finite part integrals of type \[ \int^1_{-1} \bigl[f(x)/(x-t)^2\bigr] v^{\alpha, \beta} (x)dx,\;|t|<1, \] where \(v^{\alpha, \beta}(x)\) is a Jacobi weight. For each one they obtain error bounds and study the convergence. Numerical examples are considered.
scientific article; zbMATH DE number 908430
scientific article