Topics ODE's (ordinary differential equations) Initial Value Problems Systems of ODE's of IVP Boundary Value Problems Systems of ODE's of BVP Partial Differential Equations(PDE's)
Topics ◼ ODE’s (ordinary differential equations) Initial Value Problems Systems of ODE’s of IVP Boundary Value Problems Systems of ODE’s of BVP ◼ Partial Differential Equations (PDE’s)
Why do we need to know how to use numerical analysis and methods? You are not going to be given a nice neat exact solution in the "real world". ■Applications Numerical Errors ■Computer Types ■Computer Software
Why do we need to know how to use numerical analysis and methods? ◼ Applications ◼ Numerical Errors ◼ Computer Types ◼ Computer Software You are not going to be given a nice neat exact solution in the “real world
Applications ■Signal Processing CFD(Computational Fluid Dynamics) ■Structural Analysis Finite Element Analysis
Applications ◼ Signal Processing ◼ CFD (Computational Fluid Dynamics) ◼ Structural Analysis ◼ Finite Element Analysis
Applications Interpolation-Handling data Optimization-Design and estimation CAD (Computer Aided-Drafting) ■Data Collection
Applications ◼ Interpolation - Handling data ◼ Optimization - Design and estimation ◼ CAD (Computer Aided-Drafting) ◼ Data Collection
Numerical Errors Computers are only as good as the person running them
Numerical Errors Computers are only as good as the person running them