Which of the following is NOT part of the Heun’s method?单项选择题

题目图片
A

a. Evaluate the average slope at the start and end of the interval

B

b. Evaluate the value of the slope at the beginning of the step

C

c. Evaluate the value of the slope at the center of the step

D

d. Evaluate the value of the slope at the end of the step

登录即可查看完整答案

我们收录了全球超50000道真实原题与详细解析,现在登录,立即获得答案。

类似问题

Question textAnswer the following multiple choice questions about the theory behind numerically solving ODEs:1. What is the goal of numerically solving ODEs? Multiple choice 1 Question 1find a series of points that approximate [math: t(y)]find a series of points that approximate [math: y(t)]find a series of points that approximate [math: dy/dt]find a series of points that approximate [math: dt/dy]2. Which of the following statements is true regarding Euler's method in estimating [math: y(i+1)]?Multiple choice 2 Question 1It uses a single derivativeIt uses an average of two derivativesIt uses multiple derivativesIt uses no derivatives3. For a given ODE, what is the most practical way to minimise the error when using Euler’s method?Multiple choice 3 Question 1Ensure the second derivative of the RHS of the ODE is zeroUse a larger step sizeUse a smaller step sizeChoose an optimal starting point4. How do Heun's Method and the Midpoint Method improve on Euler's method?Multiple choice 4 Question 1Both of them use higher order derivativesBoth of them use the derivative at more than 2 pointsHeun's uses the derivative at the start and end of the step, while midpoint uses the derivative in the middle of the stepMidpoint uses the derivative at the start and end of the step, while Heun's uses the derivative in the middle of the stepCheck Question 1

Question textMatch the local and global truncation errors for the following ODE solving methods: Euler's method: Answer 1 Question 23[select: , local: O(h), global: O(h^2), local: O(h^2), global: O(h), local:(O(h^2), global: O(h^3), local: O(h^3), global: O(h^2), local: O(h^3), global: O(h^4)] Heun's method: Answer 2 Question 23[select: , local: O(h), global: O(h^2), local: O(h^2), global: O(h), local:(O(h^2), global: O(h^3), local: O(h^3), global: O(h^2), local: O(h^3), global: O(h^4)] Midpoint method: Answer 3 Question 23[select: , local: O(h), global: O(h^2), local: O(h^2), global: O(h), local:(O(h^2), global: O(h^3), local: O(h^3), global: O(h^2), local: O(h^3), global: O(h^4)]Check Question 23

Which method below uses an average slope of the start and end in an Euler-like step for its corrector step?

Which of the following method uses Euler's method as a predictor step with a half step size?

更多留学生实用工具

加入我们，立即解锁 海量真题 与 独家解析，让复习快人一步！