Divided differences and derivatives
Abstract AuthorsT. Popoviciu Institutul de Calcul Keywords? Paper coordinatesT. Popoviciu, Diferenţe divizate şi derivate, Stud. Cerc. Mat. (Cluj), 11 (1960) no. 1, pp. 119-145…
Numerical Analysis
Remarks on a mean value formula for the generalized divided differences
Abstract AuthorsT. Popoviciu Institutul de Calcul Keywords? Paper coordinatesT. Popoviciu, Remarques sur une formule de la moyenne des différences divisées généralisées, Mathematica…
Divided differences and derivatives
Abstract AuthorsT. Popoviciu Institutul de Calcul Keywords? Paper coordinatesT. Popoviciu, Razdelemâe raznosti i proizvodnâe, Biul naucn. informaţii, no. 2, 1961, pp.…
Application of the theory of higher-order convex functions to the study of certain processes of numerical integration of differential equations
Abstract AuthorsTiberiu Popoviciu Institutul de Calcul Keywords? Paper coordinatesT. Popoviciu, Application de la théorie des fonctions convexes d’ordre supérieur à l’étude…
Chebyshev collocation solutions to some nonlinear and singular third-order problems relevant to thin-film flows
Abstract This paper concerns accurate spectral collocation solutions, more precisely Chebyshev collocation (ChC), to some third-order nonlinear and singular boundary…
Chebfun approximation to structure of positive radial solutions for a class of supercritical semi-linear Dirichlet problems
Abstract We use the Chebfun programming package to approximate numerically the structure of the set of positive radial solutions for…
Accurate Chebfun solutions to third-order nonlinear BVPs on the half-line. Applications in boundary layer theory
Abstract The paper is devoted to obtaining accurate numerical solutions to some third-order nonlinear boundary problems on the real semi-axis…
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…
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…