Peter Blomgren
San Diego State University
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Math 542: Numerical Solutions to Differential Equations Spring 2015
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Figure: Poincaré sections for the Duffing Oscillator; α=1.0, β=-1.0, δ=0.2, γ=0.3, and ω=1.0.

Notes and Resources...

are linked from the schedule.

Catalog description

Initial and boundary value problems for ordinary differential equations. Partial Differential Equations. Iterative methods. Finite difference methods. Method of lines.

Prerequisites
  • 1. Math 337, Elementary Differential Equations
  • 2. Math 541, Numerical Analysis and Computing

Computational Resources:

You must have access to a somewhat modern version of Matlab, or some other computational environment that you are comfortable using. Class accounts for the labs will be available. You can also use SDSU's Rohan Sun Enterprise system or another capable system. [How to open a ROHAN account].

Students with Disabilities:

If you are a student with a disability and believe you will need accommodations for this class, it is your responsibility to contact Student Disability Services at (619)594-6473. To avoid any delay, please contact Student Disability Services as soon as possible. Please note that accommodations are not retroactive, and cannot be provided until an accommodation letter from Student Disability Services is received by the Professor.

Optional Texts and Reading Materials:

Numerical Methods for Ordinary Differential Systems, The Initial Value Problem, J.D. Lambert, John Wiley & Sons, 1991.

Numerical Methods for Ordinary Differential Equations, 2nd Edition, J.C. Butcher, John Wiley & Sons, 2008.

Class web page [http://terminus.sdsu.edu/SDSU/Math542_s2015/], and handouts.

Course Outline (as of 1/19/2015):

Classification of ODEs; Euler's Method, Runge-Kutta Methods, Linear Multistep Methods, Predictor-Corrector Methods, Adaptive Methods, Variable Order Methods, Hybrid Methods, Shooting Methods; Stability Regions, Stiff ODEs &ndash, Boundary Value Problems; Multiscale Phenomena; Lotka-Volterra Models, The Lorenz System, The Van der Pol Equation.

Professor

Peter Blomgren
blomgren DOT peter AT gmail DOT com
Class hours: TuTh 11:00a – 12:15p, GMCS-325
Office hours: Tu 9:00a – 10:30a & Th 2:00p – 3:30p, GMCS-587, and by appointment.

Copyright © 2017 Peter Blomgren.