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Wavelet-based adaptive grid method for the resolution of nonlinear PDEs

Title
Wavelet-based adaptive grid method for the resolution of nonlinear PDEs
Type
Article in International Scientific Journal
Year
2002
Authors
Cruz, P
(Author)
Other
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Mendes, A
(Author)
FEUP
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Magalhaes, FD
(Author)
FEUP
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Journal
Title: AICHE JournalImported from Authenticus Search for Journal Publications
Vol. 48
Pages: 774-785
ISSN: 0001-1541
Publisher: Wiley-Blackwell
Indexing
Publicação em ISI Web of Science ISI Web of Science
COMPENDEX
Scientific classification
CORDIS: Technological sciences
FOS: Engineering and technology > Chemical engineering
Other information
Authenticus ID: P-000-PQY
Abstract (EN): Theoretical modeling of dynamic processes in chemical engineering often implies the numeric solution of one or more partial differential equations. The complexity, of such problems is increased when the solutions exhibit sharp moving fronts. A new numerical method is established, based on interpolating wavelets, that dynamically adapts the collocation grid so that higher resolution is automatically attributed to domain regions where sharp features are present. The effectiveness of the method is demonstrated with some relevant examples in a chemical engineering context.
Language: English
Type (Professor's evaluation): Scientific
No. of pages: 12
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