Linear operators that preserve some test functions
Abstract The paper centers around a pair of sequences of linear positive operators. The former has the degree of exactness…
2006
Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality
AbstractIn this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality…
The nonlinear heat equation via fixed point principles
Abstract Starting with the existence and uniqueness result of J.L.Lions for the non-homogenous heat equation with the source term in…
Positive solutions of nonlinear singular integral equations in ordered Banach spaces
AbstractIn this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality…
Aronszajn type theorems for integral equations on unbounded domains via maximal solutions
Abstract This paper discusses the topological structure of the solution set of a general Volterra integral equation. Under natural conditions…
Note on the abstract generalized quasilinearization method
Abstract The abstract generalized quasilinearization method established in [2] for ordered Banach spaces with regular or normal cone and continuous…
Multi-resolution analysis, numerical methods and reverse dynamics, integrated in software instruments for performance improving in the satellite remote sensing
Abstract[Mathjax] In this paper we present the general conception and the mathematical background of a software environment aimed to provide…
Construction of 3D potentials from a preassigned two-parametric family of orbits
AbstractAuthorsMira-Cristiana Anisiu Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy KeywordsReferencesPDFhttps://ictp.acad.ro/wp-content/uploads/2025/09/2006-Anisiu_InverseProblems.pdf Cite this paper as:M.C. Anisiu, T.A. Kotoulas, Construction of…
The equivalence between the T-stabilities of Mann and Ishikawa iterations
Abstract We show that T-stability of Mann and Ishikawa iterations are equivalent. AuthorsB.E. Rhoades S.M. Soltuz (Tiberiu Popoviciu Institute of…
Evaluation of overshooting errors in particle methods for diffusion by biased global random walk
AbstractThe adjustment of grid steps which guarantees that particles methods yield no numerical diffusion inevitably induces overshooting errors in the…