By the end of the course the students will be able to
- classify ODEs and PDEs
- tell the difference and relation between consistency, stability and convergence
- select an appropriate finite difference based numerical solution scheme for a given ODE or PDE
- code various implicit/explicit, single step/multi-step ODE solution schemes
- code various finite difference based schemes to solve elliptic, parabolic and hyberbolic PDEs
- perform stability analysis of various ODE and PDE solution schemes