Purchase Solution

Polynomial Interpolation Question

Not what you're looking for?

Ask Custom Question

16. Let P_2(x) be the quadratic polynomial interpolating f(x) at the evenly space point x_0, x_1 = x_0 + h, x_2 = x_0 + 2h. Derive formulas for the error:

f'(x_i) - P'_2(x_i), i = not zero, 1, 2

Assume f(x) is three times continuously differentiable, give commutable bounds for these errors.

Hint: use the error formula

f(t) - P_n(t) = (t - x_0) ... (t - x_n)f[x_0, ..., X_n, t]

Purchase this Solution

Solution Summary

In a written JPG file, this solution goes step by step through finding the formulas for the error.

Purchase this Solution

Free BrainMass Quizzes
Exponential Expressions

In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.

Multiplying Complex Numbers

This is a short quiz to check your understanding of multiplication of complex numbers in rectangular form.

Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

Know Your Linear Equations

Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.

Probability Quiz

Some questions on probability