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 ...

In this paper we evaluate the conditional Yeh-Wiener integral E(F(x)∣ x(s, t) = ξ) for functions F of the form F(x) = exp{∫t 0 ∫s 0 φ(σ, τ, x(σ, τ)) dσ dτ}. The method we use to evaluate this ...

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 ...

We establish the uniform convergence and obtain convergence rates for several algorithms for solving a class of Hadamard singular integral equations. These results improve on the mean square ...