A new rational approximation technique based on transformational high dimensional model representation

Yaman I., Demiralp M.

NUMERICAL ALGORITHMS, cilt.52, sa.3, ss.385-407, 2009 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 52 Sayı: 3
  • Basım Tarihi: 2009
  • Doi Numarası: 10.1007/s11075-009-9279-y
  • Dergi Adı: NUMERICAL ALGORITHMS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.385-407
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this work, a new rational approximation scheme, based on the recently developed Transformational High Dimensional Model Representation (THDMR) approximation method is developed. As an initial step to the construction of a rational approximation for multivariate functions via THDMR, this paper focuses on the general theoretical background of the method and gives explicit formulae for the computation of such approximants. The performance of the technique is shown by several examples both in univariate and bivariate cases.