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Strang Splitting Methods for a quasilinear Schr\"odinger equation - Convergence, Instability and Dynamics by Lu, Jianfeng; Marzuola, Jeremy L. is a scholarly article available to read on EtoBox.

What is Strang Splitting Methods for a quasilinear Schr\"odinger equation - Convergence, Instability and Dynamics about?

We study the Strang splitting scheme for quasilinear Schr\"odinger equations. We establish the convergence of the scheme for solutions with small initial data. We analyze the linear instability of the numerical scheme, which explains the numerical blow-up of large data solutions and connects to analytical breakdown of regularity of solutions to quasilinear Schr\"odinger equations. Numerical tests are performed for a modified version of the superfluid thin film equation.

Author

Lu, Jianfeng; Marzuola, Jeremy L.

Published

2013

Language

EN