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Fast simulations of waves in three-dimensional excitable media
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UNSPECIFIED (1997) Fast simulations of waves in three-dimensional excitable media. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 7 (11). pp. 2529-2545.
Research output not available from this repository, contact author.Abstract
A fast numerical scheme based on the model of Barkley [Physica 49D (1991), 61] is extended to three space dimensions (3D). The original time-stepping scheme is improved to provide greater accuracy and a Is-point approximation for the Laplacian operator in 3D is shown to have significant advantages over the commonly used 7-point formula. Simulations are coupled to a state-of-the-art surface rendering algorithm such that the combined code allows real-time interactive simulations of 3D waves on a desktop workstation. Results are presented from simulations over a range of spatio-temporal resolutions, from coarse cellular-automaton type simulations to fully resolved simulations of the underlying partial differential equations.
| Item Type: | Journal Article | ||||
|---|---|---|---|---|---|
| Subjects: | Q Science > QA Mathematics Q Science |
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| Journal or Publication Title: | INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS | ||||
| Publisher: | WORLD SCIENTIFIC PUBL CO PTE LTD | ||||
| ISSN: | 0218-1274 | ||||
| Official Date: | November 1997 | ||||
| Dates: |
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| Volume: | 7 | ||||
| Number: | 11 | ||||
| Number of Pages: | 17 | ||||
| Page Range: | pp. 2529-2545 | ||||
| Publication Status: | Published |
Data sourced from Thomson Reuters' Web of Knowledge
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