Extension of a cubature formula
Abstract AuthorsD.V. Ionescu Institutul de Calcul Keywords? Paper coordinatesD.V. Ionescu, Extension of a cubature formula, Acad. Roy. Belg. Bull. Cl. Sci.…
Numerical Analysis
The divided difference of a function of three variables and its representation by a triple integral
Abstract AuthorsD.V. Ionescu Tiberiu Popoviciu Institute of Numerical Analysis Keywords? Paper coordinatesD.V. Ionescu, The divided difference of a function of three…
The divided difference of order n of a function of p variables and its representation by a multiple integral
Abstract AuthorsD.V. Ionescu Institutul de Calcul Keywords? Paper coordinatesD.V. Ionescu, The divided difference of order n of a function of…
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…
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…