Numerical Integration of ODEs with Forward Euler and Backward Euler in Python and Matlab

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In this video, we code up the Forward Euler and Backward Euler integration schemes in Python and Matlab, investigating stability and error as a function of the time step. We test these integrators on the simple spring-mass-damper system, where we have an analytic solution to compare against.

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This video was produced at the University of Washington

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0:00 Problem setup
8:39 Matlab code example
20:20 Python code example
  1. Steve Brunton
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Комментарии
Автор

Why am I even going to AMATH 301 lectures when I can watch this and understand instantly? Love your videos, go UW!

natedaeila
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This is a great video, literally finished my numerical methods course this would have been super helpful!!

jdcl
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Since the exact solution of this one is known, this would be a good time to show how the approximate schemes tend to vary from the ideal case.

byronwatkins
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your videos are a gem. Thank you a lot !

nickivan
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Great lecture! Thank you. How do you import the pendulum_ode in Python?

jaeimp
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Excellent leacture please make video on "nonlinear dynamics for force condition"

aloktiwari
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why didn't you plot the analytical solution in your code? Really helpful by the way, thanks!

woosix