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Abstract
An adaptive E–scheme for degenerate, viscous balance laws is presented. Taking into account natural diffusion, numerical viscosity is locally reduced to a minimum. Numerical experiments demonstrate the improved accuracy of the adaptive scheme. Explicit and implicit three–point E–schemes are monotone, TVD and nonlinearly stable. A high–resolution version of the adaptive E–scheme is derived and tested in experiments. The latter is not necessarily monotone, but TVD.
| Original language | English |
|---|---|
| Journal | International Journal of Numerical Analysis and Modeling |
| Volume | 17 |
| Issue number | 3 |
| Pages (from-to) | 434-456 |
| ISSN | 1705-5105 |
| Publication status | Published - 2020 |
Funding
This research was supported by the Ethiopian Department of Education and the Norwegian Agency for Development Cooperation.
Keywords
- Balance law
- Degenerate viscosity
- E–scheme
- Monotone
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- 1 Ph.D. thesis
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Computational Modeling of Fluorescence Photobleaching
Hansen, C. V., 28. Dec 2017, Syddansk Universitet. Det Naturvidenskabelige Fakultet. 183 p.Research output: Thesis › Ph.D. thesis