[1] Birkhoff, G.D. (1906) General Mean Value and Remainder Theorems with Applications to Mechanical Differentiation and Quadrature. Transactions of the American Mathematical Society, 7, 107-136. http://dx.doi.org/10.2307/1986339

has been cited by the following article:

• TITLE: On Two Birkhoff-Type Interpolations with First- and Second-Order Derivative

  AUTHORS: Tinggang Zhao, Yongjun Li

  KEYWORDS: Birkhoff Interpolation, Collocation Method, Gauss-Type Interpolating Point, Error Estimation

  JOURNAL NAME: Journal of Applied Mathematics and Physics, Vol.4 No.7, July 25, 2016

  ABSTRACT: In this paper, we consider two interpolations of Birkhoff-type with integer-order derivative. The Birkhoff interpolation is related with collocation method for the corresponding initial or boundary value problems of differential equations. The solvability of the interpolation problems is proved. For Gauss-type interpolating points, error of interpolation approximation is deduced. Also, we give efficient algorithms to implement the concerned interpolations.