Generative 3D Cardiac Shape Modelling for in-silico Trials
Abstract We propose a deep learning method to model and generate synthetic aortic shapes based on representing shapes as the…
2024
Iterative schemes for coupled flow and transport in porous media -Convergence and truncation errors
Abstract Nonlinearities of coupled flow and transport problems for partially saturated porous media are solved with explicit iterative L-schemes. Their…
Integral equation with maxima via fibre contraction principle
Abstract The aim of this paper is to emphasize the role of the fibre contraction principle in the study of…
Stratified equatorial flows in cylindrical coordinates with surface tension
Abstract This paper considers a mathematical model of steady flows of an inviscid and incompressible fluid moving in the azimuthal…
On equilibrium in control problems with applications to evolution systems
Abstract In this paper we examine a mutual control problem for systems of two abstract evolution equations subject to a…
Spherical Shepard-Bernoulli operator
AbstractWe consider the problem of interpolating large sets of scattered data on the sphere using Shepard-Bernoulli operators constructed based on…
Global random walk for one-dimensional one-phase Stefan-type moving-boundary problems: Simulation results
Abstract This work presents global random walk approximations of solutions to one-dimensional Stefan-type moving-boundary problems. We are particularly interested in…
Comment on “Modeling groundwater flow with random hydraulic conductivity using radial basis function partition of unity method” by Shile et al. (2024)
Abstract The goal of this article is to explain some striking discrepancies between the Monte Carlo inferences for flow in…
Controlling numerical diffusion in solving advection-dominated transport problems
Abstract Numerical schemes for advection-dominated transport problems are are evaluated in a comparative study. Explicit and implicit finite difference methods…
A Stancu type extension of the Cheney-Sharma Chlodovsky operators
Abstract In this paper we introduce a Stancu type extension of the Cheney-Sharma Chlodovsky operators based on the ideas presented…