# 2.02.Resolution
Modified Wavenumber Analysis

Resolution properties of various numerical differentiation schemes
![resolution](https://cloud.githubusercontent.com/assets/15114859/10850812/89643aa4-7ef5-11e5-84df-7224518a3975.png)

First-order forward difference 
![f1](https://cloud.githubusercontent.com/assets/15114859/10850815/8bab6f26-7ef5-11e5-8d63-7d01ee4eff2c.png)

Second-order central difference
![c2](https://cloud.githubusercontent.com/assets/15114859/10850816/8d1cf3b6-7ef5-11e5-91d1-1dafed9cfea8.png)

Fourth-order central difference
![c4](https://cloud.githubusercontent.com/assets/15114859/10850821/9079fe3c-7ef5-11e5-9baf-15e6d1b1144c.png)

Fourth-order compact Pade scheme
![pade4](https://cloud.githubusercontent.com/assets/15114859/10850823/93562cca-7ef5-11e5-9d28-4542b6fa49a3.png)


