Space Extension Possibilities for Probabilistic Evolution with Multinomial Right Hand Side Functions


Gozukirmizi C.

International Conference of Numerical Analysis and Applied Mathematics (ICNAAM), Kos, Yunanistan, 19 - 25 Eylül 2012, cilt.1479, ss.2019-2022 identifier identifier

  • Yayın Türü: Bildiri / Tam Metin Bildiri
  • Cilt numarası: 1479
  • Doi Numarası: 10.1063/1.4756585
  • Basıldığı Şehir: Kos
  • Basıldığı Ülke: Yunanistan
  • Sayfa Sayıları: ss.2019-2022
  • İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Probabilistic evolution is a powerful approach which may be applied to the solution of initial value problem involving a set of ordinary differential equations and the corresponding initial values. Probabilistic evolution forms an exact formal solution under given certain analyticity conditions, yet truncations are needed to obtain concrete result. Convergence issues have been studied by the author in previous works. This work provides the initial steps for the use of space extension to convert the set of ordinary differential equations into a more amenable form for probabilistic evolution.