numerical methods, Mathematics

Consider the following interpolation problem:

Find a quadratic polynomial p(x) such that
p(x0) = y0 p’(x1) = y’1 , p(x2) = y2

where x0 is different from x2 and y0, y’1 , y2 are the given data.

(a) What conditions must be satisfied for such a p(x) to exist and be unique?

(b) When p(x) exists, construct the basis functions Ti(x) for i = 0, 1, 2 such that

p(x) = y0*T0(x) + y’1*T1(x) + y2*T2(x).
Posted Date: 12/12/2012 10:33:21 AM | Location : United States







Related Discussions:- numerical methods, Assignment Help, Ask Question on numerical methods, Get Answer, Expert's Help, numerical methods Discussions

Write discussion on numerical methods
Your posts are moderated
Related Questions
what is limit

Determine if the following sequences are monotonic and/or bounded. (a)   {-n 2 } ∞ n=0 (b) {( -1) n+1 } ∞ n=1 (c) {2/n 2 } ∞ n=5 Solution {-n 2 } ∞ n=0

can i get job of teaching maths here

Solve 8 cos 2 (1 - x ) + 13 cos(1 - x )- 5 = 0 . Solution Now, as specified prior to starting the instance this quadratic does not factor.  Though, that doesn't mean all i


Give an example of Numerator and Denominator? Fractions represent parts of a whole object. Fractions are written using a horizontal line, with one number on top of the line and

what will be the activity of the above said title

1. A machine comprises of three transformers A, B and C. Such machine may operate if at least 2 transformers are working. The probability of each transformer working is given as di

Terminology related to division :   A good way to remedy this situation is to familiarise children with these concepts in concrete, contexts, to start with. For instance, if a chi

#question application of vector and scalar in our daily life