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  • 9:12 PM, Friday, 22 Oct 2021


Course Postgraduate
Semester Electives
Subject Code AE802
Subject Title Numerical Methods for Scientific Computing

Syllabus

Mathematical review and computer arithematic - numbers and errors; Nonlinear equations; Di-rect methods for linear systems; Iterative Methods for Linear Systems; Eigenvalues and Eigen-vectors - power method, inverse power method, QR method; Approximation Theory - norms,orthogonalization, polynomial approximation, piecewise polynomial approximation, trignometicapproxiation, rational approximation, wavelet bases; Numerical Differentiation; Numerical In-tegration - Romberg Integration, Gauss Quadrture, Adaptive Quadrature; Numerical OrdinaryDifferential Equations - single step and multi-step methods, Runge-Kutta method, predictor-corrector method, stiffness, stability, shooting methods; Introduction to parallel programming -system architectures, shared and distributed memory programming, performance

Text Books
References

1. John A. Trangenstein, ’Scientific Computing - Vol I, II, III’, Springer, 2010.

2. Parviz Moin, Fundamentals of Engineering Numerical Analysis, Cambridge, 2010.

3. Steven C. Chapra, Applied Numerical Methods, McGraw Hill, 2012.

4. Walter Gander, Martin J. Gander, Felix Kwok, Scientific Computing, Springer, 2010.

5. A.S. Ackleh, E.J. Allen, R.B. Hearfott, P. Seshiyer, Modern Numerical Analysis, CRC, 2009.

6. Amos Gilat, Vish Subramaniam, Numerical Methods for Engineers and Scientists, Wiley,2014