Local truncation error, Applied Statistics

Assignment Help:

(a) If one solves the ordinary differential equation

1978_Eulers method.png

using Euler's method find an expression for the local truncation error.

(b) Using the result of (a) above what will the upper bound on the truncation error be for the entire integration range?

(c) Assume that the computation proceeds using a constant integration step h. Show that the upper bound of the global error (i.e. the accumulative error) will be one order of magnitude less than upper bound of the truncation error ( that is, if the global bound of the truncation error is O(hm+1) then the bound for the global error is O(hm)).

(d) How is it possible (sometimes) to make an estimate of these bounds, before carrying out the numerical integration?

 


Related Discussions:- Local truncation error

Simple regression analysis, Construct your initial multivariate model by se...

Construct your initial multivariate model by selecting a dependent variable Y and two independent variables X. Clearly define what each variable represents and how this relates t

Calculate the ratio of the sample standard deviation, The Case Study includ...

The Case Study included information about the price for a full meal before and after the law change (in dollars).  Of interest is whether the differences in price for a full meal b

Data analysis, #quesgraphical representation of data

#quesgraphical representation of data

Probability distribution of the number of sales, A salesperson visits from ...

A salesperson visits from house to house to sell her knives. The probability that she makes a sale at a random house is .3. Given that she makes a sale, the sale is worth $100 with

Help!, in a normal distribution with a mean of 85 and a STD of 5, what is t...

in a normal distribution with a mean of 85 and a STD of 5, what is the percentage of scores between 75 and 90?

B) Distinguish between:, X 110 120 130 120 140 135 155 160 165 155 ...

X 110 120 130 120 140 135 155 160 165 155 Y 12 18 20 15 25 30 35 20 25 10

Ogive graphs, how many types of ogive are there

how many types of ogive are there

Scatter diagram - correlation analysis, Scatter Diagram The first step ...

Scatter Diagram The first step in correlation analysis is to visualize the relationship. For each unit of observation in correlation analysis there is a pair of numerical value

QUARTILE DEVIATION, Examples of grouped, simple and frequency distribution ...

Examples of grouped, simple and frequency distribution data

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