University of Sargodha BS 5* Term Examination 2016 Subject: Computer Science Paper: Numerical Computing (CS:3941) Time Allowed: 2:30 Hours
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Paper text
University of Sargodha
BS 5* Term Examination 2016
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.
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Objective Part (Compulsory)
U91 White short answers of the following questions
What is meant by error analysis?
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Marks (16*2)
With initial guess range (2, 3] for the root of X'-2x - 5 find the next range as given by
bisection method.
Explain geometrically, how the choice of guess for new roet is made in any iteration oOl?
Regula falsi method.
Explain the term functional iteration.
Explain the drawbacks of Gauss elimination method.
Explain the nature of Eigen-system.
State Newton-Raphson method?
vin!
What is Lagrange polynomial?
What is least square fit?
What is numerical integration?
Approximate J..5 **dx using trapezoidal rule
What is LU decomposition?
What is Monte Carlo numerical method?
What is linear interpolation?
*.
What is propagation error?
XVT., What are main issues of nonlinear system?
Q.2.
Subjective Part
(4$12)
Use fixed-point iteration method to detérmine a solution accurate within 10ª for
x-3x'-3-0. Also write C++ code for this problem. [12)
Write the program in C++ to find root of transcendental equation by false position method
Explain the variables used and mention the facilities mentioned in it.
Give the basic idea in solving a set of linear simultaneous equations using the Gauss
, elimination method. Write algorithm for it.
[12)
Q.5
State Simpson's 1/3 rule of integration. Drive it. Write an algorithm to find integration
of given function over a given range.
State the two-point formula of first order derivative. Derive it. Write an algorithm.to find
first order derivative by two-point formula.
(12)
Apply composite trapezoidal rute f, xinde
[12)
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