# Quadrature

Not what you're looking for?

(a) Describe how the weights for the order 4 closed Newton-Cotes quadrature formula could be found. Do NOT calculate the weights.

(b) What are composite quadrature rules and why are they preferred to using higher order quadrature rules?

(c) What are the main characteristics of a predictor-corrector method for solving an initial value problem.

(d) In general, there are 3 conditions for stopping an iterative algorithm, describe each of them, and give an example of each by considering the problem of finding a solution of f(x) = 0.

See the attached file.

##### Purchase this Solution

##### Solution Summary

Topics explored in this solution include: weights for Newton-Cotes quadrature formulas, composite and higher order quadrature rules, predictor-corrector method for solving an initial value problem, and the conditions for stopping an iterative algorithm.

##### Purchase this Solution

##### Free BrainMass Quizzes

##### 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.

##### Geometry - Real Life Application Problems

Understanding of how geometry applies to in real-world contexts

##### Multiplying Complex Numbers

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

##### Graphs and Functions

This quiz helps you easily identify a function and test your understanding of ranges, domains , function inverses and transformations.

##### Solving quadratic inequalities

This quiz test you on how well you are familiar with solving quadratic inequalities.