Disclaimers¶
These lecture notes on Foundations of Scientific Computing are going to be progressively under development for the course AMS 213B at the Department of Applied Mathematics of the University of California Santa Cruz, Spring Quarter, 2016.
The most parts of the contents of the materials are in progress and they are continuosly getting updated and modified throughout the entire quarter.
The materials are intended to serve as a good intelletual guidance for the course, and it is never meant to be neither perfect nor best.
Course Mission¶
This graduate level course provides an introduction to the numerical solutions of ordinary and partial differential equations (ODEs and PDEs). The course focuses on the derivation of discrete solution methods for a wide variety of differential equations and their stability and convergence. The course also provides hands-on experience on implementing numerical algorithms for solving engineering and scientific problems using the widely available MATLAB software. Class will be taught by classroom lectures and hands-on programming sections.
License¶
All contents including example codes are lincesed under a Creative Commons Attribution 4.0 International License.