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  • 12:24 AM, Friday, 15 Nov 2019


Course Undergraduate
Semester Electives
Subject Code AExxx
Subject Title Numerical Methods for Scientific Computing

Syllabus

Mathematical review and computer arithematic - numbers and errors; Nonlinear equations; Direct
methods for linear systems; Iterative Methods for Linear Systems; Eigenvalues and Eigenvectors
- power method, inverse power method, QR method; Approximation Theory - norms,
orthogonalization, polynomial approximation, piecewise polynomial approximation, trignometic
approxiation, rational approximation, wavelet bases; Numerical Differentiation; Numerical Integration
- Romberg Integration, Gauss Quadrture, Adaptive Quadrature; Numerical Ordinary
Differential Equations - single step and multi-step methods, Runge-Kutta method, predictorcorrector
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.