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-====== Euler ======
-Euler’s Method
-Explicit fixed-step solver of first order. The Euler method named after Leonard Euler is the most basic kind of explicit method for the numerical integration of ordinary differential equatioDELETEMEns.
-If the initial value problem we want to approximate is defined by
- **y’(t) = f(t,y(t)),    y(t_0) = y_0,**
-we use the first two terms of the Taylor expansion of **y**, which represents the linear approximation around the point (t_0, y(t_0)). One step of the Euler method from ''%%t_n%%'' to ''%%t_n+1 = t_n+h%%'' is
- **y_n+1 = y_n + h//f(t_n,y_n).//**
-The Euler method can be numerically unstable, especially for stiff equations. This limitation—along with its slow convergence of error with ''%%h%%''-means that the Euler method is not often used, except as a simple example of numerical integration.
-The [[Butcher_tableau|Butcher tableau]] of the Euler forward method is:
-||1| |
-|| |0|
-Applicable [[Solver_settings|solver settings]]:
-  * Fixed-step size
-  * Limit data points to last
-===== Reference =====
-  * http://en.wikipedia.org/wiki/Euler_method

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