Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Wednesday, May 14, 2014, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Hemant Tyagi

Interpolation with cubic splines

Consider an unknown function f: [a,b] -> R and say we are given values f(x_0),...f(x_n) on a mesh: x_0 (= a) < x_1 < ... < x_n ( = b). The interpolation problem involves finding an interpolant Q of f on the mesh such that Q(x_i) = f(x_i) for all points on the mesh. The aim is to find an interpolant that approximates the unknown f well, in the sense that as the maximum distance between any two points on the mesh goes to 0, then the approximation error between Q and f (in the infinity norm) also goes to zero. We will review this problem and analyze a popular class of interpolants namely cubic splines which are piece-wise cubic polynomials and are also smooth.

Upcoming talks     |     All previous talks     |     Talks by speaker     |     Upcoming talks in iCal format (beta version!)

Previous talks by year:   2023  2022  2021  2020  2019  2018  2017  2016  2015  2014  2013  2012  2011  2010  2009  2008  2007  2006  2005  2004  2003  2002  2001  2000  1999  1998  1997  1996  

Information for students and suggested topics for student talks

Automatic MiSe System Software Version 1.4803M   |   admin login