# Numerical Computation Class 11 Mathematics Solutions | Exercise - 19.2

## Chapter - 19  Numerical Computation

Numerical Computation is a compulsory chapter in class 11 mathematics, which means you can't skip this chapter. I personally don't understand this chapter completely; it's a confusing type of chapter that I don't like.

Like me you guys were also facing problem while solveing the question guven in exercise. Some of you were even demanding the notes of class 11 Numerical Computation chapter. We were continuously getting text through our social media handles. So, I'm here to fulfill your wish. Today I'll be giving you the complete note of class 11 Numerical Computation chapter. For further information keep on reading this article.

We already have discussed a lot about Numerical Computation in our previous article. I'm talking about the article where I have provided you the complete notes of exercise 19.1. In that article I discussed about characteristics of numerical computations. I only listed the names of the characteristics.

So let's learn in brief about those characteristics for getting a better understanding of this chapter. If you haven't read the previous article then make sure to read it before reading this one.

### Characteristics of Numerical Computing

• Accuracy
• Rate of convergence
• Numerical stability, and
• Efficiency

#### Accuracy

Accuracy refers to how well a method matches the expected result. It can also be interpreted as the degree to which a given quantity is correct and free from error. For example, quantity specified as 100±1 has an (absolute) accuracy of ±1 (meaning its true value can fall in the range 99-101), while a quantity specified as 100-+2 has an accuracy of ±2 meaning its true value can fall in the range 98-102.

#### Rate of convergence

Rate of convergence refers to how long it takes to apply a given method for a given time- step. Suppose that the sequence {xₖ} of values converges to a number L.

#### Numerical stability

Numerical stability refers to how well the method copes with stiff constraints before error becomes unacceptable large. Numerical stability is considered to be a desirable property of numerical algorithms.

Its precise definition depends on the context and is related to the accuracy of the algorithms. Depending on the specific computational method small errors, instead of damped, can be magnified leading to large errors

#### Efficiency

Efficiency refers to the number of steps in the algorithm, the computer time, and the amount of the computer (or computing device) that is required.

### Exercise - 19.2

In this PDF, you'll only find the solution of class 11 Numerical Computation chapter. It contains all the solutions of exercise - 19.2. If you want the solutions of other exercises then you'll find them above. Just click on the button and you'll reach your destination.

NoteScroll the PDF to view all Solution

You are not allowed to post this PDF in any website or social platform without permission.

We may not have internet excess 24/7. Considering this situation we have decided you to provide PDF file so that you can do your assignment even if you are offline.

If you want to download the PDF of class 11 numerical computation chapter then follow the simple steps given below.

Step 1: Just below the PDF you'll see a 'Download PDF' button. Click on it.

Step 2: After clicking the button you'll be redirected to next page or next website.

Step 3: You'll see a verification captcha. Wait few seconds and click on 'I am not a Robot.'

Step 4: Wait for 15 seconds and scroll the page till the bottom. Click on 'Go to Link'.

## Usage and Distribution Guidelines

I have already mentioned before, the PDF file you download from this site is purely for personal use. You can't redistribute the PDF or use it for commercial purpose.

We haven't added any watermark to the content included in the PDF because we believe in you. We believe that you won't use this PDF for any other purpose except personal use.

I have seen many people downloading our notes and uploading them it their own site. You are strictly prohibited to do such activities. If we find any then their content will immediately be taken down. We hold all the copyright of the PDF provided in this article.

It really takes hardwork to prepare the complete solution notes. We are distributing this notes just to help students learn more. I don't want you guys to face the same problem I used to face while solving mathematics questions. So use our PDF wisely and get well prepared to solve any mathematics problems.

If you have any queries then feel free to comment down.

No Comment