Publications [#243737] of Jianfeng Lu

Papers Published

1. Lu, J; Marzuola, JL, Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics, Communications in Mathematical Sciences, vol. 13 no. 5 (January, 2015), pp. 1051-1074, International Press of Boston, ISSN 1539-6746 [arXiv:1305.7205], [doi]
   (last updated on 2024/04/15)

   Abstract:
   We study the Strang splitting scheme for quasilinear Schrödinger 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 the analytical breakdown of regularity of solutions to quasilinear Schrödinger equations. Numerical tests are performed for a modified version of the superfluid thin film equation.