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

Abstract: A discontinuous Galerkin volume integral equation (DGVIE) method is proposed for scattering from inhomogeneous objects. It is shown that this DGVIE has several advantages over other volume ...

Abstract: In this article, we propose a novel family of higher order sliding mode (HOSM) controllers with discontinuous integral term for a class of single-input-single-output (SISO) nonlinear systems ...

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 ...

This work proposes a new definition of the functional Fredholm integral equation in 2D of the second kind with discontinuous kernels (FT-DFIE). Furthermore, the work is concerned to study this new ...

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 ...