Electromagnetic integral equations offer a powerful framework for modelling wave propagation and scattering phenomena by recasting Maxwell’s equations into formulations involving integrals over ...

Fuzzy Fredholm integral equations represent a class of mathematical problems in which uncertainty is incorporated directly into the model via fuzzy numbers. These equations extend the classical ...

In this paper, we present a numerical method for solving nonlinear Hammerstein fractional integral equations. The method approximates the solution by Picard iteration ...

SIAM Journal on Numerical Analysis, Vol. 19, No. 4 (Aug., 1982), pp. 816-832 (17 pages) First of all a method of collocation, which we call "classical" collocation, is described for the approximate ...

Numerical solution of Fredholm and Volterra integral equations. Boundary integral equations. Greens functions. Boundary element and singularity methods. Vortex methods. Free boundary problems.

Optical systems employ a rich array of physical effects which are described by well-understood equations. However, for all but the simplest devices these equations are typically too complex to permit ...

This course will cover advanced topics in the development and analysis of numerical methods for simulation of rigid body motion. Topics will include forward error ...