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An easy to implement modulus-squared Dirichlet (MSD) boundary condition isformulated for numerical simulations of time-dependent complex partialdifferential equations in multidimensional settings. The MSD boundary conditionapproximates a constant modulus-square value of the solution at the boundaries.Application of the MSD boundary condition to the nonlinear Schr\"odingerequation is shown, and numerical simulations are performed to demonstrate itsusefulness and advantages over other simple boundary conditions.

A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent  Complex Partial Differential Equations and its Application to the Nonlinear  Schr\"odinger Equation

A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and its Application to the Nonlinear Schr\"odinger Equation

A Modulus-Squared Dirichlet Boundary Condition for Time-Dependent Complex Partial Differential Equations and its Application to the Nonlinear Schr\"odinger Equation