Numerical Analysis Questions
The Euler method is a numerical technique used in numerical analysis to approximate the solution of ordinary differential equations (ODEs). It is a first-order method that uses the tangent line at a given point to estimate the value of the function at the next point. The method is based on the idea of dividing the interval into small steps and using the derivative of the function to approximate the change in the function over each step. The Euler method is relatively simple to implement but may not always provide accurate results, especially for ODEs with rapidly changing or oscillatory solutions.