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dc.contributor.authorTao, Zhanjing
dc.contributor.authorHuang, Juntao
dc.contributor.authorLiu, Yuan
dc.contributor.authorGuo, Wei
dc.contributor.authorCheng, Yingda
dc.identifier.citationTao, Z., Huang, J., Liu, Y. et al. An Adaptive Multiresolution Ultra-weak Discontinuous Galerkin Method for Nonlinear Schrödinger Equations. Commun. Appl. Math. Comput. 4, 60–83 (2022).
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dc.description.abstractThis paper develops a high-order adaptive scheme for solving nonlinear Schrödinger equations. The solutions to such equations often exhibit solitary wave and local structures, which make adaptivity essential in improving the simulation efficiency. Our scheme uses the ultra-weak discontinuous Galerkin (DG) formulation and belongs to the framework of adaptive multiresolution schemes. Various numerical experiments are presented to demonstrate the excellent capability of capturing the soliton waves and the blow-up phenomenon.
dc.publisherSpringer Link
dc.relation.ispartofseriesCommunications on Applied Mathematics and Computation
dc.relation.ispartofseriesVolume 4, No. 1
dc.subjectSparse grid
dc.subjectUltra-weak discontinuous Galerkin method
dc.subjectSchrödinger equation
dc.titleAn adaptive multiresolution ultra-weak discontinuous Galerkin method for nonlinear Schrödinger equations
dc.rights.holder© 2022 Springer Nature

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