Root finding; Solution of ODEs, Numerical quadratures; Classification of PDEs; Finite difference discretisation schemes; Convergence, stability, and consistency criterian of finte differenece schemes; finite difference schemes for steady and unsteady heat conduction problems and boundary layer problems.
Textbooks:
[1] D A Anderson, J C Tannehill, and R H Pletcher, Computational Fluid Mechanics and Heat Transfer, 2nd ed, Taylor & Francis, 1997.
[2] Y Jaluria and K E Torrance, Computational Heat Transfer, Springer Verlag, 1986.
[3] S V Patankar, Computational Fluid Mechanics and Heat Transfer, Hemisphere, 1980.