Adaptive Variational-Grid Approximation

We consider approaches to the adaptive choice of an approximation space in the variational-grid method for one-dimensional second order boundary value problems, which allows us to improve approximations and decrease the calculation time in numerical solution. The approaches can be applied to nondege...

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Bibliographic Details
Published in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2022-10, Vol.267 (3), p.338-361
Main Author: Dem’yanovich, Yu. K.
Format: Article
Language:English
Subjects:
Approximation
Boundary value problems
Degeneration
Grid method
Mathematical analysis
Mathematics
Mathematics and Statistics
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Summary:We consider approaches to the adaptive choice of an approximation space in the variational-grid method for one-dimensional second order boundary value problems, which allows us to improve approximations and decrease the calculation time in numerical solution. The approaches can be applied to nondegenerate problems, as well as to problems with weak or strong degeneration.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-022-06137-8