Add to ORKGInternational audienceFour families of ABCs where built in [5] for the two- dimensional linear Schr ̈odinger equation with time and space depen- dent potentials and for general smooth convex fictitious surfaces. The aim of this paper is to propose some suitable discretization schemes of these ABCs and to prove some semi-discrete stability results. Fur- thermore, the full numerical discretization of the corresponding initial boundary value problems is considered and simulations are provided to compare the accuracy of the different ABCs
We consider a one-dimensional linear Schrödinger problem defined on an infinite domain and approxima...
We consider a one-dimensional linear Schrödinger problem defined on an infinite domain and approxima...
In this work we construct and analyze discrete artificial boundary conditions (ABCs) for different f...
International audienceFour families of ABCs where built in [5] for the two- dimensional linear Schr ...
International audienceThis paper addresses the construction of different families of absorbing bound...
International audienceThe aim of this paper is to construct some classes of absorbing boundary condi...
International audienceWe propose a hierarchy of novel absorbing boundary conditions for the one-dime...
A detailed analysis of absorbing boundary conditions for the linear Schrodinger equation is presente...
In this review article we discuss different techniques to solve numerically the time-dependent Schrö...
International audienceMathematical constructions and comparisons of accurate absorbing boundary cond...
This paper is concerned with transparent boundary conditions (TBCs) for the time-dependent Schröding...
International audienceThe aim of this paper is to compare different ways for truncating unbounded do...
Abstract. This paper addresses the construction of different families of absorbing boundary conditio...
We consider a one-dimensional linear Schrödinger problem defined on an infinite domain and approxima...
We consider a one-dimensional linear Schrödinger problem defined on an infinite domain and approxima...
In this work we construct and analyze discrete artificial boundary conditions (ABCs) for different f...
International audienceFour families of ABCs where built in [5] for the two- dimensional linear Schr ...
International audienceThis paper addresses the construction of different families of absorbing bound...
International audienceThe aim of this paper is to construct some classes of absorbing boundary condi...
International audienceWe propose a hierarchy of novel absorbing boundary conditions for the one-dime...
A detailed analysis of absorbing boundary conditions for the linear Schrodinger equation is presente...
In this review article we discuss different techniques to solve numerically the time-dependent Schrö...
International audienceMathematical constructions and comparisons of accurate absorbing boundary cond...
This paper is concerned with transparent boundary conditions (TBCs) for the time-dependent Schröding...
International audienceThe aim of this paper is to compare different ways for truncating unbounded do...
Abstract. This paper addresses the construction of different families of absorbing boundary conditio...
We consider a one-dimensional linear Schrödinger problem defined on an infinite domain and approxima...
We consider a one-dimensional linear Schrödinger problem defined on an infinite domain and approxima...
In this work we construct and analyze discrete artificial boundary conditions (ABCs) for different f...