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Document Description
TitleA bivariate spline collocation solution of the Korteweg-de Vries equation
AuthorRoth, Helmut K., 1947-
DescriptionThesis (M.Sc.)--Memorial University of Newfoundland, 1995. Computer Science
Paginationxii, 110 leaves : ill.
SubjectSpline theory; Collocation methods; Korteweg-de Vries equation;
Degree GrantorMemorial University of Newfoundland. Dept. of Computer Science.
DisciplineComputer Science
NotesBibliography: leaves 97-110.
AbstractThe Korteweg-deVries (KdV) equation is solved numerically using bivariate spline collocation methods. Our methods permit one or two collocation points in time with an arbitrary number of collocation points in space. The basis functions for the underlying spline spaces are β-splines (in space) and Lagrange polynomials (in time). Numerical experiments show that collocation at two Gauss points in both space and time yields accurate solutions very efficiently. There is numerical evidence for fourth- order convergence in time (at the mesh points), but this is not proved. Using a suite of well known test problems, the methods are compared with the classical method of Zabusky and Kruskal, a convenient and frequently used reference standard for numerical KdV solvers.
Resource TypeElectronic thesis or dissertation
FormatImage/jpeg; Application/pdf
SourcePaper copy kept in the Centre for Newfoundland Studies, Memorial University Libraries
RightsThe author retains copyright ownership and moral rights in this thesis. Neither the thesis nor substantial extracts from it may be printed or otherwise reproduced without the author's permission.
CollectionElectronic Theses and Dissertations
Scanning StatusCompleted
PDF File(10.99 MB) --
CONTENTdm file name324291.cpd