Thapar University 2006 B.E Computer Science Numerical Analysis  Question Paper
Thapar Institute of Engineering and Technology
End Semester exam 1st Semester 2006
Numerical Analysis(MA 202)
SCHOOL OF MATHEMATICS AND COMPUTER APPLICATIONS, T.I.E.T., Patiala End Semester Examination First Semester 200607 Time: Three hours Numerical Analysis (MA202) Max. Mark: 100
Note: (i) Answer any FIVE questions.(ii) All questions carry equal marks, (iii) Write your tutorial group on the top of the first page of your answer sheet  

State sufficient condition for the convergence of iterative method to solve system of linear equations. Working with four decimal digit rounding arithmetic, solve the following system of equations using Jacobi method correct to two decimal places by taking
5(a)
(b)
27x + 6.yz = 85; 6* +15>> +2z = 72; x + y + 54z = 110
Using Power method, find the largest eigenvalue and corresponding eigenvector of the following matrix correct to two decimal places by taking
1 2 0 0 0 3
A =
Establish trapezoidal formula of numerical integration by integrating twopoint Lagrangian interpolation formula.
6(a)
(b)
7(a)
(b)
Evaluate the integral / = I using Gauss twopoint and threepoint _{0}1 + x quadrature formulas and compare with the exact value of integral.
Show that the local truncation error of improved Eulers method is o(a^{3}).
Given the values of t<(x,y) on the boundary of the square in the figure, evaluate the function w(x,,y) satisfying the Laplace equation V^{2}w = 0 at the pivotal points of this figure by GaussSeidel method
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2ooo
o
100 0  
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5C>0 
I OO o
Attachment: 
Earning: Approval pending. 