Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics

Journal Article (Journal Article)

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.

Full Text

Duke Authors

Cited Authors

  • Lu, J; Marzuola, JL

Published Date

  • January 1, 2015

Published In

Volume / Issue

  • 13 / 5

Start / End Page

  • 1051 - 1074

Electronic International Standard Serial Number (EISSN)

  • 1945-0796

International Standard Serial Number (ISSN)

  • 1539-6746

Digital Object Identifier (DOI)

  • 10.4310/CMS.2015.v13.n5.a1

Citation Source

  • Scopus