Abstract: Analytic methods are presented for the systematic evaluation of convolution integrals that contain piecewise-continuous or piecewise-smooth functions. These methods involve breaking the ...

Abstract: The late-time evaluation of electromagnetic (EM) field quantities yielded by convolution integrals that combine Green’s functions available at discrete time samples and strictly causal ...

1 Mathematical Sciences Department, University of Mines and Technology, Tarkwa, Ghana. 2 Faculty of Science and Technology, University of Silesia in Katowice, Sosnowiec, Poland. The existence of an ...

is called the convolution integral of f(t) and g(t). It is also called multiple integration or convolution integral*. *convolute: (verb) to roll together. To intertwine. To fold. f(u)g(t-u) concept of ...

Disclaimer: This is just a proof-of-concept at the moment. Line Integral Convolution (LIC) is a visualization technique for vector fields. It uses a noise texture warped by the vector field to show ...

In scientific visualization, line integral convolution (LIC) is a technique proposed by Brian Cabral and Leith Leedom to visualize a vector field, such as fluid motion. Compared to other ...

We study the application of the generalized convolution quadrature (gCQ) based on Runge--Kutta methods to approximate the solution of an important class of sectorial problems. The gCQ generalizes ...

Boundary integral equation methods recast partial differential equations into integral equations over domain boundaries, reducing dimensionality and focusing computational effort on interfaces. These ...