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dc.contributor.authorHuang, Juntao
dc.contributor.authorLiu, Yong
dc.contributor.authorLiu, Yuan
dc.contributor.authorTao, Zhanjing
dc.contributor.authorCheng, Yingda
dc.date.accessioned2022-05-16T15:11:30Z
dc.date.available2022-05-16T15:11:30Z
dc.date.issued2022-03-29
dc.identifier.citationScott, H., Huang, W., Andra, K., Mamillapalli, S., Gonti, S., Day, A., . . . Taylor, D. J. (2022). Structure of the Anthrax Protective Antigen D425A Dominant Negative Mutant Reveals a Stalled Intermediate State of Pore Maturation. Journal of Molecular Biology, 434(9). https://doi.org/https://doi.org/10.1016/j.jmb.2022.167548
dc.identifier.issn1064-8275
dc.identifier.urihttps://doi.org/10.1137/21M1411391
dc.identifier.urihttps://soar.wichita.edu/handle/10057/23319
dc.descriptionPreprint version available from arXiv. Click on the DOI to access the publisher's version of this article.
dc.description.abstractIn this paper, we propose a class of adaptive multiresolution (also called the adaptive sparse grid) ultra-weak discontinuous Galerkin (UWDG) methods for solving some nonlinear dispersive wave equations including the Korteweg-de Vries (KdV) equation and its two-dimensional generalization, the Zakharov-Kuznetsov (ZK) equation. The UWDG formulation, which relies on repeated integration by parts, was proposed for the KdV equation in [7]. For the ZK equation, which contains mixed derivative terms, we develop a new UWDG formulation. The L2 stability is established for this new scheme on regular meshes, and the optimal error estimate with a novel local projection is obtained for a simplified ZK equation. Adaptivity is achieved based on multiresolution and is particularly effective for capturing solitary wave structures. Various numerical examples are presented to demonstrate the accuracy and capability of our methods.
dc.language.isoen_US
dc.publisherSociety for Industrial and Applied Mathematics Publications
dc.relation.ispartofseriesSIAM Journal on Scientific Computing
dc.relation.ispartofseriesv.44 no.2
dc.subjectSparse grid
dc.subjectDiscontinuous Galerkin
dc.subjectDispersive equations
dc.subjectMultiresolution
dc.subjectAdaptive
dc.subjectError estimate
dc.titleA class of adaptive multiresolution ultra-weak discontinuous Galerkin methods for some nonlinear dispersive wave equations
dc.typeArticle
dc.rights.holder© 2022 Society for Industrial and Applied Mathematics


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