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

Markov Chain, Each weekend, Derek either reads a book (B), goes to the cine...

Each weekend, Derek either reads a book (B), goes to the cinema (C), visits his local museum (M), or plays squash (S). If he reads a book one weekend, then he will take part in one

Root mean square deviation, Root Mean Square Deviation The standard d...

Root Mean Square Deviation The standard deviation is also called the ROOT MEAN SQUARE DEVIATION. This is because it is the ROOT (Step 4) of the MEAN (Step 3) o

Questionnaire, Framing of Questionnaire: Questionnaire is a schedule of...

Framing of Questionnaire: Questionnaire is a schedule of questions which is sent to the respondents for filling in by them in their own handwriting together the information rel

Business reporting and analysis, You are a business analyst working for a c...

You are a business analyst working for a company called Combined Computers Pty Ltd. You have been asked to prepare a business report with statistics in it for the managing director

Estimate the standard deviation of the process, Estimate the standard devia...

Estimate the standard deviation of the process: Draw the X (bar) and R charts for the data given and give your comments about the process under study. Estimate the standard de

Systematic random sampling, Systematic Random Sampling This method  is ...

Systematic Random Sampling This method  is generally used in such cases where a complete list of the population is available from which sample has to be selected. Under this

Dominant strategy equilibrium, Consider the following game: (a) If ...

Consider the following game: (a) If (top, left) is a Weakly Dominant Strategy Equilibrium, then what inequalities must hold among (a, ..., h)? (b) If (top, left) is a Na

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