University of Sargodha BS st Term Examination 2017. Subject: Computer Science Paper: Numerical Computing (CS-3941) Time Allowed: 2:30 Hours

University of Sargodha

BS st Term Examination 2017.

Subject: Computer Science Paper: Numerical Computing (CS-3941)

Time Allowed: 2:30 Hours

Maximum Marks: 80

Note:

Objective part is compulsory. Attempt any Four questions from subjective part.

Objective Part

Q.1 White short answers of the following questions

(Compulsory )

ustadn

What is an analytical method?

Il.

What is truncation error?

Ill.

What are significant digits?

IV.

Marks (16*2)

ustadni.com

VI.

VIl.

VIlI.

IX.

XI.

XII.

XIII.

XIV.

XV.

XVI.

Explain the drawbacks of Gauss elimination method. "

Explain the nature of Eigen-system.

State Newton-Raphson method?

What is Lagrange polynomial?

What is least square fit?

What is numerical integration?

Approximate Jos **dx using trapezoidal rule.

Provide an example of improper integrals.

Write down the formula for higher order Taylor methods.

Is it necessary to have Permutation matrix in AsLU?

What is error estimation of Guass-siedel method?

Define orthogonal polynomials with example.

Subjective Part

(4*12)

Q.2

What is numerical method? Explain the characteristics of numerical computing. [12]

Q.3

Give the basic idea in solving a set of linear simultancous equations using the Gauss

elimination method. Write algorithm for it.

[12]

Q.4

formula.

Approximate f(0.05) using the following data and the Newton forward dividend difference

F(x)

0.0

1.0000 (

0.2

1.22140

0.4

1.49182

0.6

1.82212

0.8

2.22554

Provide stepwise detail and algorithm for approximating Eigen values

Q.6. Write a C++ code for approximating the solution for Initial Value problems using Euler method

Q.7. State Simpson's 1/3 rule of integration. Drive it Write an algorithm to find integration

of given function over a given range.

ustadni.com

visit website: ustadni.com