Solvability of partial differential equations by meshless kernel methods

نویسندگان

  • Benny Y. C. Hon
  • Robert Schaback
چکیده

This paper first provides a common framework for partial differential equation problems in both strong and weak form by rewriting them as generalized interpolation problems. Then it is proven that any well–posed linear problem in strong or weak form can be solved by certain meshless kernel methods to any prescribed accuracy. AMS Subject Classification: 35A25, 65N35

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عنوان ژورنال:
  • Adv. Comput. Math.

دوره 28  شماره 

صفحات  -

تاریخ انتشار 2008