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…
Numerical Analysis
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…
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…
Optimal approximation of unique continuation
Abstract We consider numerical approximations of ill-posed elliptic problems with conditional stability. The notion of optimal error estimates is defined including…
Inverse interpolating splines with applications to the equation solving
Abstract AuthorsCrăciun Iancu Tiberiu Popoviciu Institute of Numerical Analysis Romania Academy, Cluj-Napoca, Romania Tiberiu Oproiu Romanian Academy Astronomical Observatory Ion…
A note on the efficiency index of a class of two step Hermite iterative methods
Abstract One considers Hermite interpolatory methods, based on two interpolatory nodes which have the same multiplicity order. Duing the efficiency…
O metodă de tip Aitken-Steffensen-Hermite de ordinul 3
Abstract AuthorsIon Păvăloiu ”Tiberiu Popoviciu” Institute of Numerical Analysis, Romanian Academy Keywords? Paper coordinatesI. Păvăloiu, O metodă de tip Aitken-Steffensen-Hermite…
Theory and computation of radial solutions for Neumann problems with φ-Laplacian
Abstract The paper deals with existence, localization and multiplicity of radial positive solutions in the annulus or the ball, for…
Optimal finite element approximation of unique continuation
Abstract We consider finite element approximations of ill-posed elliptic problems with conditional stability. The notion of {\emph{optimal error estimates}} is…
Perov’s theorem applied to systems of equations
Abstract In this paper, we consider systems of equations having a linear part and also a nonlinear part. We give…