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math.NA2023
Low regularity error estimates for high dimensional nonlinear Schrödinger equations
Lun Ji, Alexander Ostermann
The filtered Lie splitting scheme is an established method for the numerical integration of the periodic nonlinear Schrödinger equation at low regularity. Its temporal convergence…
math.NA2023★ 7 cited
Low regularity full error estimates for the cubic nonlinear Schrödinger equation
Lun Ji, Alexander Ostermann, Frédéric Rousset +1
For the numerical solution of the cubic nonlinear Schrödinger equation with periodic boundary conditions, a pseudospectral method in space combined with a filtered Lie splitting sc…