Subject Code:  MA2L007 Subject Name: Numerical Methods L-T-P: 3-1-0 Credit: 4
Pre-requisite(s): Maths - I and Maths – II
Introduction to numerical methods: Understanding sources of errors; round-off errors, truncation errors, floating point arithmetic, Convergence

Solution of linear systems: Gauss elimination, Gauss Jordan elimination, Gauss-Seidel method, Diagonal dominance, Banded matrices, storage schemes for banded matrices, skyline solver.

Solution of non-linear systems: Newton Raphson method, Local and global minimum, rates of convergence, convergence criteria, conjugate gradient method.

Ordinary Differential Equations: Taylor series, Euler method, Runge-Kutta method, Finite Difference Method

Partial Differential Equations: Finite Difference Method – Laplace equation, Poison equation, 1-D heat equation, 1-D wave equation.
Text/Reference Books:
  1. S. D. Conte and C. de Boor, Elementary Numerical Analysis: An Algorithmic approach, 3rd edition, McGraw-Hill Book Company, New York, 1980
  2. D. Dahlquist, and Å.Björck, Translated by Ned Anderson, Numerical Methods, 1stedition, Dover Publication, New York,2003
  3. K. E. Atkinson, Introduction to Numerical Analysis, 2nd Edition, John Wiley,New York, 1989
  4. C. F. Gerald and P. O. Wheatley, Applied Numerical Analysis, 5th edition, Addison Wesley, Massachusetts, 1994