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

How many possible latin square designs are there, In an agricultural experi...

In an agricultural experiment, we wish to compare the yields of three different varieties of wheat. Call these varieties A, B and C. We have a ?eld that has been marked into a 3 *

Ashland MultiComm Services, Suppose that in the actual survey of 50 prospec...

Suppose that in the actual survey of 50 prospective customers, 6 subscribe to the 3 for all offer, what does this tell you about the previous estimate of the proportion of customer

Inference on reggression analysis, find the expected value of the mean squa...

find the expected value of the mean square error and of the mean square reggression

Find the optimal adaptive meshes for a skewed beta density, Show that the I...

Show that the ISB in a bin containing the origin of the double exponen-tial density, f(x) = exp(-|x|)/2, is O(h 3 ); hence, the discontinuity in the derivative of f does not have a

Bienayme-chebyshev rule, This probability rule determined by the research o...

This probability rule determined by the research of the two mathematicians Bienayme' and Chebyshev, explains the variability of data about its mean when the distribution of the dat

Admissibility, Admissibility A very common concept which is applicable ...

Admissibility A very common concept which is applicable to any procedure of the statistical inference. The underlying notion is that the procedure/method is admissible if and o

Perform a simple linear regression analysis, In New Jersey, banks have been...

In New Jersey, banks have been charged with withdrawing from counties having a high percentage of minorities. To substantiate this charge, data is presented in the table below conc

Interaction of enviornment and gene , entropy test to measure interaction b...

entropy test to measure interaction between enviornmental factors and genes

Determine best estimates of the population mean and variance, Question: ...

Question: (a) A normal distribution is thought to have a mean of 50. A random sample of 100 gave a mean of 52.6 and a standard deviation of 14.5. A significance test was carri

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