numerical methods, Mathematics

Assignment Help:
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).

Related Discussions:- numerical methods

Judgment sampling, Judgment Sampling Here the interviewer chooses whom ...

Judgment Sampling Here the interviewer chooses whom to interview believing that their view is more fundamental because they might be directly affected for illustration, to find

Modeling - nonhomogeneous systems, Under this section we're going to go bac...

Under this section we're going to go back and revisit the concept of modeling only now we're going to look at this in light of the fact as we now understand how to solve systems of

Determinants, can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l ...

can anyone solve this assigment: D=lsqrt(3x-5) sqrt(2x)l =3 l -1 1 l

Four is added to the quantity two minus the sum of negative, Four is added ...

Four is added to the quantity two minus the sum of negative seven and six. This answer is then multiplied through three. What is the result? This problem translates to the expr

Greatest common factor, x 4 - 25 There is no greatest common factor her...

x 4 - 25 There is no greatest common factor here.  Though, notice that it is the difference of two perfect squares. x 4 - 25 = ( x 2 ) 2   - (5) 2 Thus, we can employ

Simple equations, three times the first of the three consecutive odd intege...

three times the first of the three consecutive odd integers is 3 more than twice the third integer. find the third integer.

Properties of logarithms, Properties of Logarithms 1. log a x...

Properties of Logarithms 1. log a xy = log a x + log a y 2.  = log a x - log a y 3. log a x n   = n log

Numerical analysis and computer techniques, write a fortan programme to gen...

write a fortan programme to generate prime number between 1 to 100

1, use 3/8 of a thin of paint, what fraction of the paint is left in thin (...

use 3/8 of a thin of paint, what fraction of the paint is left in thin (show work

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd