Numerical Simulation of Ordinary Differential Equations: Integrating ODEs
Ғылым және технология
In this video, I provide an overview of how to numerically integrate solutions of ordinary differential equations (ODEs). These solutions are known as trajectories, and provide a powerful computational tool for us to analyze nonlinear systems, where simple analytic techniques may not work. In particular, we only have general solution techniques for linear systems, and for generic nonlinear dynamics, we often are forced to study them numerically using these integration techniques.
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This video was produced at the University of Washington
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0:00 Problem setup: Integration through a vector field
5:41 Numerical integration to generate a trajectory
15:12 Vector fields may be solution to PDE
18:15 Deriving forward Euler integration
Пікірлер: 17
Amazing content, I love those clear explanations. I can't wait for the next lessons.
I love this lecture! Thank you for your excellent explanation.
great work steve, appreciate all your vids
Best teacher ever!
Great lecture!
Great...my favorite topic... it's amazing...😍❤🙏
Welcome back!
Yes please for the numerical analysis series
i just bought data-driven science and engineering book from Steven
Thank you, Steve!
@Eigensteve
2 ай бұрын
My pleasure!
you're a legend
Ty so much
Hi sir, Can you do a differential equation sum based on daniel kahneman's fast and slow thinking. Thanks
Learn math with Steve!
Dear Steve, would you believe me if I told you I am learning these concepts to model perception and decision making processese by a sentient being in AI? For example, a sequence of actions intto the future = trajectory! or the way a hidden state is evolding according to an ODE under a Markovian assumption! Thank you very much for your AMAZING lectures!
You just got learned. " Where did he learn you? Was it a good learn or a bad learn?"