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Old December 31st, 2019, 11:45 AM
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Default MLSU 1063 - Computer Science -III (Old Scheme) Syllabus : Mohanlal Sukhadia University

Paper III -Computer Oriented Numerical Methods


Unit I
Computer Arithmetic : Floating point representation of numbers, arithmetic
operations with normalized floating point numbers and their consequences ,error in
number representation, pitfalls in computing. Iterative Methods : successive
approximation, bisection method, false position, Newton Raphson method,
comparison of iterative methods, Baristow’s method for finding complex roots.


Unit II
Solution of simultaneous linear equations : Gauss elimination method, pivoting ill
conditioned equations, refinement of solution, Gauss Seidel iterative method,
comparison of direct and iterative methods.


Unit III
Solution of ordinary differential equations : Euler’s method, Taylor series method,
local and global error analysis, Runge-Kutta methods, predictor-corrector methods,
stability of solution.


Unit IV
Interpolation and approximation : Langrange’s interpolation, Polynomial
interpolation, difference table, truncation error in interpolation, linear regression,
polynomial fitting and other curve fitting techniques, approximation of function by
Taylor series and Chebyshev series.


Unit V
Numerical differentiation and integration: Differentiation formulae based on
polynomial fits, pitfalls in differentiation. Integration : trapezoidal, Simpson rules,
Guassian quardature.


Suggested Books
1. Rajaraman V., Computer Oreinted Numerical Methods, Peentice Hall of
India Private Limited.
2. Krishnamurhy , Computer based numerical algorithms, East West Press.
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