The strict superlinear order can be faster than the infinite order
Abstract The strict superlinear order (superlinear convergence) was usually regarded as having an intermediate speed between between linear and with…
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Nash equilibria for componentwise variational systems
Abstract In this paper, we generalize an existing result regarding the existence of a Nash equilibrium for a system of…
On Ulam stability of a partial differential operator in Banach spaces
Abstract In this paper, we prove that, if \(\inf \limits_{x\in A}\left \vert f\left(x\right) \right \vert =m>0\), then the partial differential…
Dinkelbach Type Approximation Algorithms for Nonlinear Fractional Optimization Problems
Abstract In this paper we establish some approximation versions of the classical Dinkelbach algorithm for nonlinear fractional optimization problems in…
Localization of solutions for semilinear problems with poly-Laplace type operators
Abstract The paper presents an abstract theory regarding the problems with semilinear operator equations involving iterates of a strongly monotone…
On Wachnicki’s Generalization of the Gauss–Weierstrass Integral
Abstract The paper aims at a generalization of the Gauss–Weierstrass integral introduced by Eugeniusz Wachnicki two decades ago. It is…
Solving ill-posed Helmholtz problems with physics-informed neural networks
Abstract We consider the unique continuation (data assimilation) problem for the Helmholtz equation and study its numerical approximation based on…
[New] Call for applications: Grants for researchers working outside Romania
Tiberiu Popoviciu Institute of Numerical Analysis welcomes international researchers (including Romanian diaspora) to apply for research grants through the European…
Nonlinear alternatives of hybrid type for nonself vector-valued maps and application
Abstract In this paper we obtain nonlinear alternatives of Leray-Schauder and Monch type for nonself vector-valued operators, under hybrid conditions…
Analysis of Navier–Stokes Models for Flows in Bidisperse Porous Media
Abstract Having in view a model proposed by Nield and Kuznetsov (Transp Porous Media 59:325–339, 2005; Transp Porous Media 96:495–499,…