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

Different analyses of recurrent events data, Different analyses of recurren...

Different analyses of recurrent events data: The bladder cancer data listed in Wei, Lin, and Weissfeld (1989) is used in Example 54.8/49.8 of SAS to  illustrate different anal

Mean and median, The amounts of money won by the top ten finishers in a fam...

The amounts of money won by the top ten finishers in a famous car race are listed below. $1,172,246    $163,659    $440,584    $350,634     $290,596 $186,731    $145,809     $143,2

Lorenz curve , Lorenz Curve   It is a graphic method of measur...

Lorenz Curve   It is a graphic method of measuring dispersion. This curve was devised by Dr. Max o Lorenz a famous statistician.  He used this technique for wealth it i

Decision making ., it is said that management is equivalent to decision mak...

it is said that management is equivalent to decision making? do you agree? explain

Perform a one-way anova, The Tastee Bakery Company supplies a bakery produc...

The Tastee Bakery Company supplies a bakery product to many supermarkets in a metropolitan area. The company wishes to study the effect of shelf display height employed by the supe

Uses of arthematic mean, give me question on mean is the aimplest average t...

give me question on mean is the aimplest average to understand and easy to compute

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