Abstract
The effective-mass envelope-function approximation for electrons in quantum wells in a tilted magnetic field leads to an inseparable two-dimensional Schr\"odinger equation. Several methods for direct numerical solution of this equation are compared. Also presented is a ``reduced-basis'' method that relies on some analytic considerations in order to reduce the computation effort significantly. The distributed Gaussians method and, within some restrictions, the reduced-basis method, were found to be the best choices. \textcopyright{} 1996 The American Physical Society.
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