From 7e0b4501030aa268da323c1eaa69c8a2b29ee6a3 Mon Sep 17 00:00:00 2001 From: Christian Kolset Date: Thu, 24 Apr 2025 15:22:41 -0600 Subject: Added scripts to generate tex files from markdown --- tutorials/module_2/intro_to_numerical_methods.md | 41 ++++++++++++++++++++++++ 1 file changed, 41 insertions(+) create mode 100644 tutorials/module_2/intro_to_numerical_methods.md (limited to 'tutorials/module_2/intro_to_numerical_methods.md') diff --git a/tutorials/module_2/intro_to_numerical_methods.md b/tutorials/module_2/intro_to_numerical_methods.md new file mode 100644 index 0000000..6791aff --- /dev/null +++ b/tutorials/module_2/intro_to_numerical_methods.md @@ -0,0 +1,41 @@ +# Numerical Methods +Engineering + +## What is a numerical method? +Numerical methods are techniques that transform mathematical problems into forms that can be solved using arithmetic and logical operations. Because digital computers excel at these computations, numerical methods are often referred to as computer mathematics. + + +## Numerical Differentiation +Forwards difference +Backwards difference + +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter20.00-Numerical-Differentiation.html) + +## Roots and Optimization +Incremental Search +Bisection +Modified Secant +Newton-Raphson + + +## Numerical Integration + +Trapezoidal + +Simpson's Rule + +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter21.00-Numerical-Integration.html) + + +## Numerical Solutions of Ordinary Differential Equations + +Euler's Method +- Forward +- Backwards + +Runge-Kutta Method + +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter22.00-ODE-Initial-Value-Problems.html) + + + -- cgit v1.2.3