Add to ORKGWe propose a new algorithm for solving the semiclassical time-dependent Schrödinger equation. The algorithm is based on semiclassical wavepackets. The focus of the analysis is only on the time discretization: convergence is proved to be quadratic in the time step and linear in the semiclassical parameter $$\varepsilon $$ ε
We consider the dispersive logarithmic Schrödinger equation in a semi-classical scaling. We extend t...
This thesis provides a numerical analysis of numerical methods for partial differential equations of...
International audienceThis paper is dedicated to the analysis of the rate of convergence of the clas...
We propose a new algorithm for solving the semiclassical time-dependent Schrödinger equation. The al...
This article is devoted to the construction of new numerical methods for the semiclassical Schröding...
This article is devoted to the construction of numerical methods which remain insensitive to the sma...
Time dependent Schrödinger equations with conservative force field commonly constitute a major chall...
Schrödinger equations with time-dependent potentials are of central importance in quantum physics an...
We show that the method of splitting the operator ${\rm e}^{\epsilon(T+V)}$ to fourth order with pur...
International audienceThe paper is devoted to develop efficient domain decomposition methods for the...
We consider the time-dependent linear Schrödinger equation in a semiclassical scaling. This equation...
We present a practical algorithm based on symplectic splitting methods intended for the numerical in...
Abstract. We prove an error estimate for a Lie–Trotter splitting operator associated with the Schrö...
We show that the method of factorizing the evolution operator to fourth order with purely positive c...
We analyze a splitting integrator for the time discretization of the Schrodinger equation with nonlo...
We consider the dispersive logarithmic Schrödinger equation in a semi-classical scaling. We extend t...
This thesis provides a numerical analysis of numerical methods for partial differential equations of...
International audienceThis paper is dedicated to the analysis of the rate of convergence of the clas...
We propose a new algorithm for solving the semiclassical time-dependent Schrödinger equation. The al...
This article is devoted to the construction of new numerical methods for the semiclassical Schröding...
This article is devoted to the construction of numerical methods which remain insensitive to the sma...
Time dependent Schrödinger equations with conservative force field commonly constitute a major chall...
Schrödinger equations with time-dependent potentials are of central importance in quantum physics an...
We show that the method of splitting the operator ${\rm e}^{\epsilon(T+V)}$ to fourth order with pur...
International audienceThe paper is devoted to develop efficient domain decomposition methods for the...
We consider the time-dependent linear Schrödinger equation in a semiclassical scaling. This equation...
We present a practical algorithm based on symplectic splitting methods intended for the numerical in...
Abstract. We prove an error estimate for a Lie–Trotter splitting operator associated with the Schrö...
We show that the method of factorizing the evolution operator to fourth order with purely positive c...
We analyze a splitting integrator for the time discretization of the Schrodinger equation with nonlo...
We consider the dispersive logarithmic Schrödinger equation in a semi-classical scaling. We extend t...
This thesis provides a numerical analysis of numerical methods for partial differential equations of...
International audienceThis paper is dedicated to the analysis of the rate of convergence of the clas...