Abstract: A novel approach based on the singularity cancellation (SC) is proposed to accurately and efficiently evaluate the singular integrals arising in the integral equation discontinuous Galerkin ...

Symbolic preprocessing for numerical evaluation of multidimensional, discontinuous integrals. Obtaining accurate results for the numerical evaluation of discontinuous integrals requires that the user ...

A simple quantum mechanical model is analyzed for which there is no continuous function which solves the classical equations. The transition amplitude is calculated and it is shown that the ...

A review of the work of the authors is presented, in which corollaries of the quasi-invariance of functional integrals on the Wiener measure with respect to the action of a group of diffeomorphisms ...