(preprint)

Global random walk solutions to PDF evolution equations

2 weeks ago

AbstractAuthorsNicolae Suciu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy Friedrich-Alexander University of Erlangen-Nuremberg Mathematics Department Călin Vamoș Tiberiu Popoviciu…

Localization of critical points in annular conical sets via the method of Nehari manifold

6 months ago

AbstractUsing the Nehari manifold method, we establish sufficient conditions such that a smooth functional attains a ground state within an…

Critical point localization and multiplicity results in Banach spaces via Nehari manifold technique

6 months ago

AbstractIn the paper, results on the existence of critical points in annular subsets of a cone are obtained with the…

Fixed Point Results and the Ekeland Variational Principle in Vector B-Metric Spaces

9 months ago

Abstract In this paper, we extend the concept of b-metric spaces to the vectorial case, where the distance is vector…

On equilibrium in control problems with applications to evolution systems

11 months ago

Abstract In this paper we examine a mutual control problem for systems of two abstract evolution equations subject to a…

Optimal finite element approximation of unique continuation

2 years ago

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

Computational orders of convergence of iterative methods for Richards’ equation

2 years ago

Abstract Numerical solutions for flows in partially saturated porous media pose challenges related to the non-linearity and elliptic-parabolic degeneracy of…

On high-order conforming finite element methods for ill-posed Helmholtz problems

4 years ago

Abstract We consider the numerical approximation of the linear ill-posed problem of unique continuation for the Helmholtz equation. We first…

Tikhonov regularization of a perturbed heavy ball system with vanishing damping

4 years ago

AbstractThis paper deals with aa perturbed heavy ball system with vanishing damping that contains a Tikhonov regularization term, in connection…

Accurate spectral collocation solutions to some Bratu’s type boundary value problems

5 years ago

AbstractWe solve by Chebyshev spectral collocation some genuinely nonlinear Liouville-Bratu-Gelfand type, 1D and a 2D boundary value problems. The problems…

(preprint)

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