The PDE surface method in higher dimensions.
Yes === This paper presents a method to extend PDE surfaces to high dimensional spaces. We review a common existing analytic solution, and show how it can be used straightforwardly to increase the dimension of the space the surface is embedded within. We then further develop a numerical scheme s...
| Main Authors: | , , |
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| Language: | en |
| Published: |
2009
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10454/2853 |
| Summary: | Yes === This paper presents a method to extend PDE surfaces to high dimensional
spaces. We review a common existing analytic solution, and show
how it can be used straightforwardly to increase the dimension of the
space the surface is embedded within. We then further develop a numerical
scheme suitable for increasing the number of variables that parametrise
the surface, and investigate some of the properties of this solution with a
view to future work. |
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