From 4abc43cdcb7fba399d5377481dd88e54b2db8cb6 Mon Sep 17 00:00:00 2001 From: Christian Kolset Date: Thu, 24 Apr 2025 15:31:56 -0600 Subject: Added tex file structure for each module --- book/module2/intro_to_numerical_methods.tex | 41 +++++++++++++++++++++++++++++ 1 file changed, 41 insertions(+) create mode 100644 book/module2/intro_to_numerical_methods.tex (limited to 'book/module2/intro_to_numerical_methods.tex') diff --git a/book/module2/intro_to_numerical_methods.tex b/book/module2/intro_to_numerical_methods.tex new file mode 100644 index 0000000..737d69d --- /dev/null +++ b/book/module2/intro_to_numerical_methods.tex @@ -0,0 +1,41 @@ +\section{Numerical Methods}\label{numerical-methods} + +Engineering + +\subsection{What is a numerical +method?}\label{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. + +\subsection{Numerical Differentiation}\label{numerical-differentiation} + +Forwards difference Backwards difference + +\href{https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter20.00-Numerical-Differentiation.html}{Read +More} + +\subsection{Roots and Optimization}\label{roots-and-optimization} + +Incremental Search Bisection Modified Secant Newton-Raphson + +\subsection{Numerical Integration}\label{numerical-integration} + +Trapezoidal + +Simpson's Rule + +\href{https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter21.00-Numerical-Integration.html}{Read +More} + +\subsection{Numerical Solutions of Ordinary Differential +Equations}\label{numerical-solutions-of-ordinary-differential-equations} + +Euler's Method - Forward - Backwards + +Runge-Kutta Method + +\href{https://pythonnumericalmethods.studentorg.berkeley.edu/notebooks/chapter22.00-ODE-Initial-Value-Problems.html}{Read +More} -- cgit v1.2.3