In this paper we present analytical expressions for the computation of singular integrals
obtained in the discretisation of boundary integral equations for the Laplace and creeping …

Implicit representation of shapes as level sets of multilayer perceptrons has recently
flourished in different shape analysis, compression, and reconstruction tasks. In this paper …

We present a family of high-order trapezoidal rule-based quadratures for a class of singular
integrals, where the integrand has a point singularity. The singular part of the integrand is …

The aim of this study is to apply a new approach to the quantitative analysis of the formation
of gaseous products generated during the thermochemical conversion of wood waste …

In this paper, we solve the linearized Poisson-Boltzmann equation, used to model the
electric potential of macromolecules in a solvent. We derive a corrected trapezoidal rule with …

We present a simple yet accurate method to compute the adjoint double layer potential,
which is used to solve the Neumann boundary value problem for Laplace's equation in three …

Kalman filters equipped with both adaptivity and robustness have been developed to handle
both unknown measurement noise and non-Gaussian noise affected by outliers. However …

We present convergence theory for corrected quadrature rules on uniform Cartesian grids
for functions with a point singularity. We begin by deriving an error estimate for the …