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

Shares and dividends, at what price a 6.25%rs 100 share be quoted when the ...

at what price a 6.25%rs 100 share be quoted when the money is worth 5%

Find the volume of the liquid , A vessel in shape of a inverted cone is sur...

A vessel in shape of a inverted cone is surmounted by a cylinder has a common radius of 7cm this was filled with liquid till it covered one third the height of the cylinder. If the

Help, I really need help with 30 60 90 right triangles and my last tutor di...

I really need help with 30 60 90 right triangles and my last tutor did not make sense to me so can you please help

An example of build upon the child''s background, What are the other differ...

What are the other differences between learners that a teacher needs to keep in mind, while teaching?  Let us see an example in which a teacher took the pupil's background into acc

Compositions of relations, Let Consider R A Χ B, S B Χ C be two relation...

Let Consider R A Χ B, S B Χ C be two relations. Then compositions of the relations S and R given by SoR A Χ C and is explained by (a, c) €(S o R) iff € b € B like (a, b) € R,

An aeroplane is flying , An aeroplane is flying at a specific height of 5 k...

An aeroplane is flying at a specific height of 5 km, and at a velocity of 450 km/hr. A camera on the ground is pointed towards the plane, at an angle θ from the horizontal. As the

If oa = ob = 14cm, If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded r...

If OA = OB = 14cm, ∠AOB=90 o , find the area of shaded region.  (Ans:21cm 2 ) Ans:    Area of the shaded region = Area of ? AOB - Area of Semi Circle = 1/2  x 14 x

Geometry, how you know that your first quadrilateral is an isosceles trapez...

how you know that your first quadrilateral is an isosceles trapezoid

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