1 citations · 1 across the 3 of their papers we have counts for
6 papers
Extended Walk-on-Spheres Algorithm for Linear and Nonlinear Elliptic Problems of Divergence-type
Iulian Cîmpean, Andreea Grecu, Arghir Zarnescu
The Walk-on-Spheres algorithm, introduced by M. E. Muller in 1956, is a well known Monte Carlo method that leverages Brownian exit distributions from spheres to solve the Laplace e…
A probabilistic approach to spectral analysis of Cauchy-type inverse problems: Convergence and stability analysis
Iulian Cîmpean, Andreea Grecu, Liviu Marin
A comprehensive convergence and stability analysis of some probabilistic numerical methods designed to solve Cauchy-type inverse problems is performed in this study. Such inverse p…
Numerical spectral analysis of Cauchy-type inverse problems: A probabilistic approach
Iulian Cîmpean, Andreea Grecu, Liviu Marin
We investigate the inverse Cauchy and data completion problems for elliptic partial differential equations in a bounded domain , , with a special e…
Hardy uniqueness principle for the linear Schrodinger equation on quantum regular trees
Aingeru Fernández-Bertolin, Andreea Grecu, Liviu I. Ignat
In this paper we consider the linear Schrodinger equation (LSE) on a regular tree with the last generation of edges of infinite length and analyze some unique continuation properti…
The nonlinear Schrödinger equation with white noise dispersion on quantum graphs
Iulian Cîmpean, Andreea Grecu
We show that the nonlinear Schrödinger equation (NLSE) with white noise dispersion on quantum graphs is globally well-posed in once the free deterministic Schrödinger group s…
The Schrodinger Equation on a Star-Shaped Graph under General Coupling Conditions
Andreea Grecu, Liviu I. Ignat
We investigate dispersive and Strichartz estimates for the Schrödinger time evolution propagator on a star-shaped metric graph. The linear operator, $H…