From 9c2f54ecef9c12d660bb7afda8882ae6e25bf959 Mon Sep 17 00:00:00 2001 From: Christian Kolset Date: Thu, 10 Apr 2025 15:54:41 -0600 Subject: Added Numerical methods list to tutorial --- .../module_2/2_01_intro_to_numerical_methods.md | 32 +++++++++++++++++----- 1 file changed, 25 insertions(+), 7 deletions(-) diff --git a/tutorials/module_2/2_01_intro_to_numerical_methods.md b/tutorials/module_2/2_01_intro_to_numerical_methods.md index 39f83b5..6791aff 100644 --- a/tutorials/module_2/2_01_intro_to_numerical_methods.md +++ b/tutorials/module_2/2_01_intro_to_numerical_methods.md @@ -1,23 +1,41 @@ -# Introduction to Numerical Methods - +# 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. -## Error +## 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 -## Root-finding +Trapezoidal +Simpson's Rule -## Interpolation and Curve Fitting +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter21.00-Numerical-Integration.html) -## Numerical Differentiation and Integration +## Numerical Solutions of Ordinary Differential Equations +Euler's Method +- Forward +- Backwards +Runge-Kutta Method -## Numerical Solution of Ordinary Differential Equations +[Read More](https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter22.00-ODE-Initial-Value-Problems.html) -- cgit v1.2.3