Numerical Analysis

Accurate Chebfun solutions to third-order nonlinear BVPs on the half-line. Applications in boundary layer theory

1 month ago

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

3 months ago

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

5 months ago

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

8 months ago

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

12 months ago

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

1 year ago

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

1 year ago

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

1 year ago

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

1 year ago

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

1 year ago

Abstract We consider finite element approximations of ill-posed elliptic problems with conditional stability. The notion of {\emph{optimal error estimates}} is…

Numerical Analysis

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