Functional integral equations constitute a broad class of problems in which an unknown function appears under an integral sign. These equations play a pivotal role in modelling complex phenomena in ...

Stochastic Volterra integral equations provide a powerful framework for modelling systems in which memory effects and hereditary properties play a central role. These equations extend the classical ...

This is a preview. Log in through your library . Abstract The (unknown) exact solution of a weakly singular Volterra integral equation of the second kind (with smooth kernel and forcing function) ...

SIAM Journal on Numerical Analysis, Vol. 43, No. 6 (2006), pp. 2251-2271 (21 pages) Matrix compression techniques in the context of wavelet Galerkin schemes for boundary integral equations are ...

Analogue computer: Brian Edwards (left), Nader Engheta (centre) and Nasim Mohammadi Estakhri show-off their microwave protoype. (Courtesy: Eric Sucar/University of Pennsylvania) Metamaterials have ...

Integral equations in various scientific theories and their relation to differential equations. Methods of solving linear problems with Hilbert Schmidt, Cauchy, and Wiener-Hopf type kernels; ...

Methods for solving linear, ordinary, and partial differential equations of mathematical physics. Green's functions, distribution theory, integral equations, transforms, potential theory, diffusion ...