Solving Fredholm equations of the first kind is crucial in many areas of the applied sciences.
In this work we adopt a probabilistic and variational point of view by considering a …

Estimation of the probability density function from the statistical power moments presents a
challenging nonlinear numerical problem posed by unbalanced nonlinearities, numerical …

Solving Fredholm equations of the first kind is crucial in many areas of the applied sciences.
In this work we consider integral equations featuring kernels which may be expressed as …

As it is well known the problem of solving the Fredholm integral equation of the first kind
belongs to the class of ill-posed problems. The Tikhonov regularization method is well …

Motivated by a recent method for approximate solution of Fredholm equations of the first
kind, we develop a corresponding method for a class of Fredholm equations of the\emph …

Interacting particle methods are widely used to perform inference in complex models, with
applications ranging from Bayesian statistics to applied sciences. This thesis is concerned …

This work is a continuation of a series of works on the use of continuous local polynomial
splines for solving interpolation problems and for solving the Fredholm integral equation of …