On the Role of Ill-conditioning: Biharmonic Eigenvalue Problem and Multigrid Algorithms

Very fine discretizations of differential operators often lead to large, sparse matrices A, where the condition number of A is large. Such ill-conditioning has well known effects on both solving linear systems and eigenvalue computations, and, in general, computing solutions with relative accuracy i...

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Bibliographic Details
Main Author: Bray, Kasey
Format: Others
Published: UKnowledge 2019
Subjects:
Online Access:https://uknowledge.uky.edu/math_etds/62
https://uknowledge.uky.edu/cgi/viewcontent.cgi?article=1063&context=math_etds