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
how do we figure it out here is an example 3,4,6,9,_,_,_,_,_,. please help


3 items x, y and z will have 6 different permutations however only one combination. The given formular is generally used to determine the number of combinations in a described situ


what is 0.875 of 2282?

I need assignment help for Equal Matrices. can you please define Equal Matrices?

10 statements must be shown to be logically equivalent to the Statement the nxn matrix is invertible.

x ?8x ?16x ? 0, x?0? ? 0, x?0? ? 2

Decision Trees And Sub Sequential Decisions A decision tree is a graphic diagram of different decision alternatives and the sequence of events like if they were branches of a t

Q UADRATIC EQUATIONS: For  the  things  of this  world  cannot  be  made  known without  a  knowledge of mathematics. Solve by factorization a.    4x 2 - 4a 2 x +