Notebooks and concepts covered in the course

** To be updated **

The following table lists the notebooks and concepts covered in the course. The notebooks are located in the notebooks/ directory. The nm_lib_ex_X.py files in the nm_lib/nm_lib/nm_ex directory contains template functions you must complete and then use in your Jupyter Notebooks.

Jupyter Notebook	Related Wiki Topics	nm_lib files	Functions
ex_1.ipynb	Discretization	nm_lib_ex_1.py	deriv_fwd, deriv_4tho
ex_1_ext.ipynb	Numerical order	nm_lib_ex_1.py	deriv_cent, order_conv
ex_2a_analytical.ipynb	Characteristics	None	None
ex_2b.ipynb	Discretization	nm_lib_ex_2.py	step_adv_burgers, evolv_adv_burgers, cfl_adv_burger
ex_3.ipynb	Staggered mesh, Stability	nm_lib_ex_3.py	step_uadv_burgers, evolv_uadv_burgers, deriv_bck
ex_4.ipynb	Stability	nm_lib_ex_4.py	evolv_Lax_uadv_burgers
ex_4b.ipynb	Conservative	None	None
ex_5.ipynb	Implicit methods	nm_lib_ex_5.py	step_uadv_burgers, cfl_diff_burger, step_diff_burgers, NR_f, jacobian, Newton_Raphson, NR_f_u, jacobian_u, Newton_Raphson_u, taui_sts, evol_sts
ex_6.ipynb	Operator splitting	nm_lib_ex_6.py	ops_Lax_LL_Add, ops_Lax_LL_Lie, ops_Lax_LL_Strang, osp_Lax_LH_Strang, Hyman, hyman_corr, hyman_pred
ex_7.ipynb	Classification of partial differential equations	None	None
project.ipynb	Flux limiter, Staggered mesh, Hyper diffusive, Home, Riemann solvers, Stability, Discretization	All