The PDE surface method in higher dimensions

نویسندگان

  • A. Woodland
  • H. Ugail
  • F. Labrosse
چکیده

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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تاریخ انتشار 2008