- #1
ddcamp
- 2
- 0
let's say we do not know the proof.
then how do you guys describe it conceptually?
hm...><
then how do you guys describe it conceptually?
hm...><
Euler's Method is a numerical method used to approximate the solutions to ordinary differential equations. It is named after the mathematician Leonhard Euler, who first described the method in the 18th century.
Euler's Method works by approximating a solution to an ordinary differential equation using small, finite steps. It starts with an initial value and then uses the derivative of the function at that point to predict the next point. This process is repeated until the desired endpoint is reached.
Euler's Method is a simple and straightforward way to approximate the solutions to ordinary differential equations. It is also computationally efficient and can be easily programmed on a computer.
Yes, Euler's Method has some limitations. One of the main limitations is that it can only approximate solutions to first-order ordinary differential equations. It also tends to accumulate errors over time, especially when the step size is large.
The accuracy of Euler's Method depends on the step size used. The smaller the step size, the more accurate the approximation will be. However, as mentioned earlier, the method can accumulate errors over time, so it is important to choose an appropriate step size based on the level of accuracy required.