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- W3048767891 abstract "In this paper, we present a fully discrete and structure-preserving scheme for the nonlinear fractional Schrödinger equations. The key is to introduce a scalar auxiliary variable and rewrite the equations as a new family of systems. The new systems are approximated by using the implicit midpoint rule, the repeated trapezoidal rule and the fractional centered difference method. It is shown the fully discrete scheme is mass- and energy-conserved. This is sharp contrast to the former result, i.e., the fully discrete scheme is only mass-conserved for the original equations." @default.
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- W3048767891 date "2021-01-01" @default.
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- W3048767891 title "Mass- and energy-conserving difference schemes for nonlinear fractional Schrödinger equations" @default.
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- W3048767891 doi "https://doi.org/10.1016/j.aml.2020.106686" @default.
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