Hidden Figures - Euler's Method - Its Ancient But It Works - Part 9 of 10

Hidden Figures - Euler's Method - Its Ancient But It Works - Part 9 of 10

[rossrobinson]

It is spelled: Euler
Fairly standard text book numerical approximation method. At your starting point, find the slope (1st derivative). Then pretend the the function is linear and move to the next point by stepping in the direction given by the slope. Then reevaluate the slope at that new point and step in the direction of the new slope. Repeat.
Works better with a small step size and relatively smooth functions.
Maybe it was less common pre electronic computers. Now it is very a simple program to write and the step size can be set small to get an accurate answer fairly quickly.

[nellAx]

Found this interesting that the movie specified Euler's method, but 1:10 shows on the right side of the textbook to read "13.18 Runge", which likely shows definition of the fourth order Runge-Kutta method. I can't say for sure what history would actually suggest happened in real life, but Runge-Kutta converges much quicker and more accurate than Euler's method. So, it was very likely that they would've used a method like this as opposed to Euler's.

[saundraturner]

Why isn't this mathematical genius BETTER well known?? 😮

[richardyoung]

In this video did you know that Katherine gorbal was awarded the PRESIDENTIAL AWARD from PRESIDENT OBAMA for EXCELLENCE and both my brother and uncle worked for NASA and my brother worked on the STAR WAR project under NASA AND DOD under PRESIDENT REAGAN in the 1980s 1st and 2nd term

[howshecuttingbogman]

Oilers method. What’s that when it’s home?