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

dc.contributor.author Lu, Jianfeng
dc.contributor.author Marzuola, Jeremy
dc.date.accessioned 2017-04-26T17:41:12Z
dc.date.available 2017-04-26T17:41:12Z
dc.date.issued 2015-01-01
dc.identifier.issn 1539-6746
dc.identifier.uri https://hdl.handle.net/10161/14100
dc.description.abstract © 2015 International Press.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.
dc.relation.ispartof Communications in Mathematical Sciences
dc.relation.isversionof 10.4310/CMS.2015.v13.n5.a1
dc.title Strang splitting methods for a quasilinear Schrödinger equation: Convergence, instability, and dynamics
dc.type Journal article
pubs.begin-page 1051
pubs.end-page 1074
pubs.issue 5
pubs.organisational-group Chemistry
pubs.organisational-group Duke
pubs.organisational-group Mathematics
pubs.organisational-group Physics
pubs.organisational-group Trinity College of Arts & Sciences
pubs.publication-status Published
pubs.volume 13
dc.identifier.eissn 1945-0796


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