Add to ORKGThis paper proposes a kind of compact extrapolation schemes for a linear Schrödinger equation. The schemes are convergent with fourth-order accuracy both in space and time. Especially, a spe-cific scheme of sixth-order accuracy in space is given. The stability and discrete invariants of the schemes are analyzed. The schemes satisfy discrete conservation laws of original Schrödinger eq-uation. The numerical example indicates the efficiency of the new schemes
In this paper a four stages twelfth algebraic order symmetric two-step method with vanished phase-la...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
International audienceIn this paper, we introduce a new numerical scheme for the nonlinear Schröding...
Using average vector field method in time and Fourier pseudospectral method in space, we obtain an e...
Abstract In this paper, several different conserving compact finite difference schemes are developed...
Combining the compact method with the structure-preserving algorithm, we propose a compact local ene...
Abstract A compact finite difference (CFD) scheme is presented for the nonlinear Schrödinger equatio...
AbstractIn this study, an implicit semi-discrete higher order compact (HOC) scheme, with an averaged...
Abstract—In this paper, a novel difference scheme with higher accuracy is proposed by virtue of anal...
This thesis provides a numerical analysis of numerical methods for partial differential equations of...
We derive optimal order a posteriori error estimates for fully discrete approximations of linear Sch...
We derive optimal order a posteriori error estimates for fully discrete approximations of linear Sch...
We derive optimal order a posteriori error estimates for fully discrete approximations of linear Sch...
A time method to approximate the solution of a class of nonlinear Schrödinger systems, which preserv...
Near-conservation over long times of the actions, of the energy, of the mass and of the momentum alo...
In this paper a four stages twelfth algebraic order symmetric two-step method with vanished phase-la...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
International audienceIn this paper, we introduce a new numerical scheme for the nonlinear Schröding...
Using average vector field method in time and Fourier pseudospectral method in space, we obtain an e...
Abstract In this paper, several different conserving compact finite difference schemes are developed...
Combining the compact method with the structure-preserving algorithm, we propose a compact local ene...
Abstract A compact finite difference (CFD) scheme is presented for the nonlinear Schrödinger equatio...
AbstractIn this study, an implicit semi-discrete higher order compact (HOC) scheme, with an averaged...
Abstract—In this paper, a novel difference scheme with higher accuracy is proposed by virtue of anal...
This thesis provides a numerical analysis of numerical methods for partial differential equations of...
We derive optimal order a posteriori error estimates for fully discrete approximations of linear Sch...
We derive optimal order a posteriori error estimates for fully discrete approximations of linear Sch...
We derive optimal order a posteriori error estimates for fully discrete approximations of linear Sch...
A time method to approximate the solution of a class of nonlinear Schrödinger systems, which preserv...
Near-conservation over long times of the actions, of the energy, of the mass and of the momentum alo...
In this paper a four stages twelfth algebraic order symmetric two-step method with vanished phase-la...
Using a unified framework, the formulation of a super-convergent discontinuous Galerkin (SDG) method...
International audienceIn this paper, we introduce a new numerical scheme for the nonlinear Schröding...