From Carolina Center for Interdisciplinary Applied Mathematics

Minion: Math892

Home page for Prof. Minion's Math 892 class

• Time: MWF 1:00-1:50
• Place: Phillips 381
• Office hours: MWF 2-3

Course Objectives: This course will present a detailed analysis of methods for numerically approximating the solution of partial differential equations. Both the mathematical theory and practical implementation of competing approaches for a set of standard PDE's will be covered. The students will be introduced to mathematical and computational issues that must be considered when designing or choosing a numerical method for the nonlinear PDE's typically found in physical applications. By the end of the course, students should be able to * understand the mathematical foundations of numerical methods for PDEs * construct numerical methods for simple PDEs * understand and analyze numerical error * write effective presentations of numerical results

Class syllabus

Papers to download

• Extrapolation Methods Survey
• IMEX Runge-Kutta Paper
• Stiff IMEX Runge-Kutta Paper
• IMEX Linear Multistep Paper
• IMEX SDC paper

!! Matlab Scripts

* linpde.m Linear PDE explorer

Assignments

• Programming Exericse 1
• Programming Exericse 2

* Homework #1 * Homework #2

Matlab Scripts

• IMEX Runge-Kutta hint

!! Class notes

Finite Element Module (Mar. 16 - Apr. 1)

Finite Elements

!! Useful Links