ABSORBING BOUNDARY CONDITIONS FOR GENERAL NONLINEAR SCHRODINGER EQUATIONS

作者：Antoine Xavier^*; Besse Christophe; Klein Pauline

来源：SIAM Journal on Scientific Computing, 2011, 33(2): 1008-1033.

DOI：10.1137/090780535

• absorbing boundary conditions
• pseudodifferential operators
• nonlinear Schrodinger equation with potential
• stable semidiscrete schemes
• fixed point algorithm
• relaxation scheme

This paper addresses the construction of different families of absorbing boundary conditions for the one- and two-dimensional Schrodinger equations with a general variable nonlinear potential. Various semidiscrete time schemes are built for the associated initial boundary value problems. Finally, some numerical simulations give a comparison of the various absorbing boundary conditions and associated schemes to analyze their accuracy and efficiency.

• 出版日期2011
• 单位INRIA