Euler's method is a numerical tool for approximating values for solutions of differential equations. It is handful since most of the differential equations are hard to solve. It is applied in a way of using the slope of the tangent line (derivative) and incrementing the x value to get the approximation of y.

qqqube

These slides discuss the integration of euler's method in video game simulations. http://www.cs.cmu.edu/~jkh/video_games/jkh_simulation.pdf

cyang2020

Unstable it is because that all of these are only in the idealized case.

letrangg

I would like to know more about why the Euler's method is considered unstable, is it due to friction or the materials of the object as it interacts with air?

Euler's method is a numerical tool for approximating values for solutions of differential equations. It is handful since most of the differential equations are hard to solve. It is applied in a way of using the slope of the tangent line (derivative) and incrementing the x value to get the approximation of y.

These slides discuss the integration of euler's method in video game simulations. http://www.cs.cmu.edu/~jkh/video_games/jkh_simulation.pdf

Unstable it is because that all of these are only in the idealized case.

I would like to know more about why the Euler's method is considered unstable, is it due to friction or the materials of the object as it interacts with air?