Add to ORKGIn this work, we introduce a splitting method of order two for solving the the Schrödinger equation with absorbing boundary conditions. The new scheme avoids order reduction faced by standard splitting methods
In this paper we propose a modified Lie-type spectral splitting approximation where the external po...
A computational framework of high order conservative finite difference methods to approximate the so...
We consider an initial-boundary value problem for a generalized 2D time-dependent Schrödin...
AbstractWe introduce a splitting method for the semilinear Schrödinger equation and prove its conver...
We present a normal form theorem for the propagator of a splitting method applied to a linear Schröd...
International audienceWe propose a hierarchy of novel absorbing boundary conditions for the one-dime...
Splitting Methoden sind in der numerischen Analysis von grundlegendem Interesse, da sie die Komplexi...
International audienceThis paper addresses the construction of different families of absorbing bound...
International audienceMathematical constructions and comparisons of accurate absorbing boundary cond...
International audienceIn this paper, we consider the nonlinear Schrödinger equation ut + iΔu − F(u) ...
A large number of differential equation problems which admit traveling waves have very large (typica...
AbstractTransparent boundary conditions for the Schrödinger equation iϖtu + Δu = 0 are deduced from ...
International audienceThis paper deals with two domain decomposition methods for two dimensional lin...
Abstract. This paper addresses the construction of different families of absorbing boundary conditio...
A typical procedure to integrate numerically the time dependent Schrödinger equation involves two st...
In this paper we propose a modified Lie-type spectral splitting approximation where the external po...
A computational framework of high order conservative finite difference methods to approximate the so...
We consider an initial-boundary value problem for a generalized 2D time-dependent Schrödin...
AbstractWe introduce a splitting method for the semilinear Schrödinger equation and prove its conver...
We present a normal form theorem for the propagator of a splitting method applied to a linear Schröd...
International audienceWe propose a hierarchy of novel absorbing boundary conditions for the one-dime...
Splitting Methoden sind in der numerischen Analysis von grundlegendem Interesse, da sie die Komplexi...
International audienceThis paper addresses the construction of different families of absorbing bound...
International audienceMathematical constructions and comparisons of accurate absorbing boundary cond...
International audienceIn this paper, we consider the nonlinear Schrödinger equation ut + iΔu − F(u) ...
A large number of differential equation problems which admit traveling waves have very large (typica...
AbstractTransparent boundary conditions for the Schrödinger equation iϖtu + Δu = 0 are deduced from ...
International audienceThis paper deals with two domain decomposition methods for two dimensional lin...
Abstract. This paper addresses the construction of different families of absorbing boundary conditio...
A typical procedure to integrate numerically the time dependent Schrödinger equation involves two st...
In this paper we propose a modified Lie-type spectral splitting approximation where the external po...
A computational framework of high order conservative finite difference methods to approximate the so...
We consider an initial-boundary value problem for a generalized 2D time-dependent Schrödin...