updated readme

rcc02007 · Apr 20, 2020 · 7ad00c9 · 7ad00c9
1 parent 4f577d8
commit 7ad00c9
Show file tree

Hide file tree

Showing 7 changed files with 3,726 additions and 4 deletions.
diff --git a/README.md b/README.md
@@ -1,4 +1,30 @@
 # Computational Mechanics 5 - Boundary Value Problems
 
-![Warning: Under
-Construction!!](https://publicdomainvectors.org/photos/under-construction_geek_man_01.png)
+
+# [01_Revisiting_derivatives](./notebooks/01_Revisiting_derivatives.ipynb)
+
+* How to approximate error in approximate derivatives
+* How to approximate derivatives using forward difference methods
+* How to approximate derivatives using backward difference methods
+* How to approximate derivatives using central difference methods
+* How to approximate higher order derivatives with forward, backward, and
+* central differences
+
+# [02_Keep_it_steady](notebooks/02_Keep_it_steady.ipynb)
+
+* The difference between a _PDE_ and an _ODE_
+* How to approximate differential equations with boundary conditions
+* Solve steady-state heat transfer problem
+* Solve static deflection of elastic beam
+* Demonstrate convergence of finite difference solutions
+
+
+# [03_Good_Vibrations](./notebooks/03_Good_Vibrations.ipynb)
+* How to set up and solve an eigenvalue problem
+* How eigenvalues and eigenvectors relate to natural frequencies and mode shapes
+* How to turn a _PDE_ into a finite difference _ODE_
+* How to use eigenvalues to calculate natural frequencies of a vibrating string
+* How to solve a coupled set of _ODEs_ 
+* Visualize solutions to finite difference equations with 3D plots and
+* animations
+* How to _listen_ to vibration solutions
diff --git a/notebooks/.ipynb_checkpoints/01_Revisiting_derivatives-checkpoint.ipynb b/notebooks/.ipynb_checkpoints/01_Revisiting_derivatives-checkpoint.ipynb
diff --git a/notebooks/.ipynb_checkpoints/02_Keep_it_steady-checkpoint.ipynb b/notebooks/.ipynb_checkpoints/02_Keep_it_steady-checkpoint.ipynb