McGovern, Stephen Michael
(2023)
Numerical analysis, testing and adaptive timestep considerations for filtered implicit methods.
Master's Thesis, University of Pittsburgh.
(Unpublished)
Abstract
Pre- and post-filters can be added to many classic numerical methods to generate higher order methods with strong stability properties. In this paper we test and analyze two filtered Implicit Euler methods. The two methods are a natural embedded pair, so we also explore variable timestep using their difference as an error estimator at each step.
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Details
| Item Type: |
University of Pittsburgh ETD
|
| Status: |
Unpublished |
| Creators/Authors: |
| Creators | Email | Pitt Username | ORCID  |
|---|
| McGovern, Stephen Michael | stm114@pitt.edu | stm114 | |
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| ETD Committee: |
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| Date: |
27 January 2023 |
| Date Type: |
Publication |
| Defense Date: |
6 December 2022 |
| Approval Date: |
27 January 2023 |
| Submission Date: |
8 December 2022 |
| Access Restriction: |
No restriction; Release the ETD for access worldwide immediately. |
| Number of Pages: |
70 |
| Institution: |
University of Pittsburgh |
| Schools and Programs: |
Dietrich School of Arts and Sciences > Mathematics |
| Degree: |
MS - Master of Science |
| Thesis Type: |
Master's Thesis |
| Refereed: |
Yes |
| Uncontrolled Keywords: |
Implicit Methods, Numerical Analysis, Variable timestep, Adaptive, Adaptivity |
| Date Deposited: |
27 Jan 2023 18:48 |
| Last Modified: |
27 Jan 2023 18:48 |
| URI: |
http://d-scholarship.pitt.edu/id/eprint/43968 |
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