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Course Detail

Course Name Scientific Computing
Course Code 15CSE365
Program B. Tech. in Computer Science and Engineering
Year Taught 2019

Syllabus

Unit 1

Systems of Linear Algebraic equations: Introduction, Gauss Elimination Method, LU decomposition, Symmetric and banned coefficient Matrices, Pivoting, Matrix Inversion, Iterative Methods, Other methods.

Unit 2

Interpolation and Curve Fitting: Polynomial Interpolation, Least square fit, Other methods; Roots of equations: Search Methods, Method of Bisection, Roots of Equations, Brent’s method, Newton Raphson Method, Systems of Equations, Zeros of Polynomials

Unit 3

Numerical Differentiation: Finite Difference approximations; Numerical Integration; Initial Value Problems; Two-Point Boundary Value Problems; Symmetric Matrix Eigen value problems; Introduction to Optimization.

Text Books

  • Jaan Kiusalaas, “Numerical Methods in Engineering with Python”, Cambridge University Press, 2005.

Resources

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