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Title: Iterative grid redistribution method for singular problems
Authors: Ren, Weiqing
Issue Date: 1999
Abstract: For the numerical solution of time dependent PDEs which involve large solution variations, a variety of grid distribution methods based on equidistribution (in one dimension) or variational approach (in multiple dimensions) have been shown to gain significant improvements in accuracy and efficiency over conventional fixed mesh method. However, direct applications of many of those methods to PDEs with singular behavior (e.g. finite time blow up) often fail due to lack of control of the resulting mesh distribution. We introduce a new iterative grid redistribution method to handle the singular solutions. Our method requires little prior information of the singular solutions and can handle multiple singularities.
Description: Thesis (M.Phil.)--Hong Kong University of Science and Technology, 1999
viii, 52 leaves : ill. ; 30 cm
HKUST Call Number: Thesis MATH 1999 Ren
Appears in Collections:MATH Master Theses

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