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

Data reduction, The PCA is amongst the oldest of the multivariate statistic...

The PCA is amongst the oldest of the multivariate statistical methods of data reduction. It is a technique for simplifying a dataset, by reducing multidimensional datasets to lower

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

Correlation, Correlation The board of directors of Bata Company is face...

Correlation The board of directors of Bata Company is faced with the problem of estimating what the annual sales might be in a shop to be opened in Bagpur where Bata has not op

Calculate mean and standard deviation, Select and generate your assignment ...

Select and generate your assignment portfolio. The S&P/ASX 200 index is comprised of several sub-indices, including the following: 0) XPJ: The S&P/ASX 200 A-REIT Index 1) XDJ

Accelerated failure time model, Accelerated Failure Time Model A basic m...

Accelerated Failure Time Model A basic model for the data comprising of survival times, in which the explanatory variables measured on an individual are supposed to act multipli

Local truncation error, (a) If one solves the ordinary differential equati...

(a) If one solves the ordinary differential equation using Euler's method find an expression for the local truncation error. (b) Using the result of (a) above what will

Control chart, construction of control chart,n chart

construction of control chart,n chart

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

Changes in a particular plant , Scenario : Mrs dick's year 1s and 2s carrie...

Scenario : Mrs dick's year 1s and 2s carried out a level-one science investigation to explain the changes in a particular plant over a period of time.  As part of the investigation

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