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math.NA2016★ 17 cited
Runge-Kutta convolution quadrature and FEM-BEM coupling for the time dependent linear Schrödinger equation
Jens Markus Melenk, Alexander Rieder
We propose a numerical scheme to solve the time dependent linear Schrödinger equation. The discretization is carried out by combining a Runge-Kutta time-stepping scheme with a fini…
math.NA2016
Convolution quadrature for the wave equation with a nonlinear impedance boundary condition
Lehel Banjai, Alexander Rieder
A rarely exploited advantage of time-domain boundary integral equations compared to their frequency counterparts is that they can be used to treat certain nonlinear problems. In th…