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Complexity Explorer

Ordinary Differential Equations

Santa Fe Institute via Complexity Explorer

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Overview

This tutorial contains excerpts from Elizabeth Bradley's Nonlinear Dynamics course.  Note that Complexity Explorer tutorials are meant to introduce students to various important techniques and to provide illustrations of their application in complex systems.  A given tutorial is not meant to offer complete coverage of its topic or substitute for an entire course on that topic.   

This tutorial is designed for more advanced math students who have taken Calculus.   

 

Syllabus

  1. Ordinary Differential Equations (Liz Bradley)
  2. Nonlinearity and nonintegrability
  3. ODEs, vector fields, and dynamical landscapes
  4. Introduction to ODE Solvers
  5. Forward and Backward Euler
  6. Solving Simple Harmonic Oscillator ODEs
  7. ODE Solvers: Error and Adaptation
  8. Production ODE Solvers
  9. Numerical Dynamics
  10. Unit 3 Homework

 

Taught by

Elizabeth Bradley

Reviews

5.0 rating, based on 3 Class Central reviews

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  • Profile image for Juan Cabrera García-Olmedo
    Juan Cabrera García-Olmedo

    Juan Cabrera García-Olmedo completed this course, spending 4 hours a week on it and found the course difficulty to be medium.

    Santa Fe Institute and the Complexity Explorer program are the best in the complexity studies and nonlinear dynamics fields. Learning with them means more that just the knowledge you get.
  • Davide Vignoni

    Davide Vignoni completed this course, spending 3 hours a week on it and found the course difficulty to be easy.

    For me, this course has been a very useful review of topics, calculation methods and techniques that I have already studied. All this subjects are arranged in a very useful way! Thank you very much!
  • Anonymous

    Anonymous completed this course.

    good course, fast and concrete, in addition, the written material provided by the teacher is easy to understand and a good guide
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