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Publications Influence

A nonlocal convection–diffusion equation

In this paper we study a nonlocal equation that takes into account convective and diffusive effects, ut=J∗u−u+G∗(f(u))−f(u) in Rd, with J radially symmetric and G not necessarily symmetric. First, we… Expand

94 5- PDF

Numerical Dispersive Schemes for the Nonlinear Schrödinger Equation

TLDR

43 4- PDF

A splitting method for the nonlinear Schrödinger equation

- L. Ignat
- Mathematics
- 1 April 2011

Abstract We introduce a splitting method for the semilinear Schrodinger equation and prove its convergence for those nonlinearities which can be handled by the classical well-posedness L 2 ( R d )… Expand

17 3- PDF

Decay estimates for nonlocal problems via energy methods

Abstract In this paper we study the applicability of energy methods to obtain bounds for the asymptotic decay of solutions to nonlocal diffusion problems. With these energy methods we can deal with… Expand

46 3- PDF

Inverse problem for the heat equation and the Schrödinger equation on a tree

In this paper, we establish global Carleman estimates for the heat and Schrodinger equations on a network. The heat equation is considered on a general tree and the Schrodinger equation on a… Expand

14 3- PDF

Refined asymptotic expansions for nonlocal diffusion equations

Abstract.We study the asymptotic behavior for solutions to nonlocal diffusion models of the form ut = J * u – u in the whole $${\mathbb{R}}^d$$ with an initial condition u(x, 0) = u0(x). Under… Expand

33 2- PDF

Large-time asymptotics, vanishing viscosity and numerics for 1-D scalar conservation laws

TLDR

14 2- PDF

Dispersive properties of a viscous numerical scheme for the Schrodinger equation Proprietes dispersives d'un schema numer´ique visqueux pour l'´equation de Schrodinger

In this work we study the dispersive properties of the numerical approximation schemes for the free Schrodinger equation. We consider finite-dierence space semi-discretizations. We first show that… Expand

31 1- PDF

[The evaluation of sound level in dental practice].

- C. Morăraşu, V. Burlui, C. Bortă, L. Ignat, B. Bortă, G. Morarasu
- Medicine
- Revista medico-chirurgicala a Societatii de…
- 1 October 2001

Noise pollution is one of the most important problems of the contemporary world. Dentistry is one of the most affected areas because the activity in a dental practice involves the use of different… Expand

8 1

Convergence of a two-grid algorithm for the control of the wave equation

We analyze the problem of boundary observability of the finite-difference space semi-discretizations of the 2-d wave equation in the square. We prove the uniform (with respect to the mesh-size)… Expand

25 1- PDF

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