From 183c55c09e62c069d65b2f5d9f5d7c065ad16228 Mon Sep 17 00:00:00 2001 From: Christian Kolset Date: Wed, 3 Sep 2025 13:19:49 -0600 Subject: Updated entries --- tutorials/module_3/0_numerical_methods.md | 46 +++++++++++++++++++++++++++++++ 1 file changed, 46 insertions(+) create mode 100644 tutorials/module_3/0_numerical_methods.md (limited to 'tutorials/module_3/0_numerical_methods.md') diff --git a/tutorials/module_3/0_numerical_methods.md b/tutorials/module_3/0_numerical_methods.md new file mode 100644 index 0000000..449ece0 --- /dev/null +++ b/tutorials/module_3/0_numerical_methods.md @@ -0,0 +1,46 @@ +# 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 +Central Difference method +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter20.00-Numerical-Differentiation.html) + +## Roots and Optimization +Incremental Search +Bisection +Modified Secant +Newton-Raphson + +## System of Equations +Guassian Method +LU Decomposition + +## Numerical Integration + +Midpoint +Trapezoidal +Romberg +Gaussian +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-Kutte + +[ReadMore](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter22.00-ODE-Initial-Value-Problems.html) + + + -- cgit v1.2.3