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

Word problems, The sum of two numbers is 19, their difference is 5. find th...

The sum of two numbers is 19, their difference is 5. find the numbers

Complex analysis test, Can anyone help with my exam. I have 8 questions to ...

Can anyone help with my exam. I have 8 questions to do which is due on 02-14-13

Fractions, is 1 and 1/2+2 and 1/7 3 and 9/4

is 1 and 1/2+2 and 1/7 3 and 9/4

Statistics Assignment, A. Design an investigation that details the followi...

A. Design an investigation that details the following six components:

Stats, Instructions: 1. Write the null and alternative hypotheses. ...

Instructions: 1. Write the null and alternative hypotheses. 2. Calculate the test statistic. 3. Determine the critical value whether or not there has been an improv

How much is invested at 8% if the total amount of interest, Kevin invested ...

Kevin invested $4,000 in an account which earns 6% interest per year and $x in a different account that earns 8% interest per year. How much is invested at 8% if the total amount o

Definite integration-mathematics, Definite integration It involve integ...

Definite integration It involve integration among specified limits, say a and b The integral    is a definite integral whether the limits of integration are as: a and b

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