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typo Euler ->Taylor #277

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Roger Labbe 2020-05-04 16:35:28 -07:00
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07-Kalman-Filter-Math.ipynb
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@ -1370,7 +1370,7 @@
"Before we go on, let's formally derive Euler's method, as it is the basis for the more advanced Runge Kutta methods used in the next section. In fact, Euler's method is the simplest form of Runge Kutta.\n",
"\n",
"\n",
"Here are the first 3 terms of the Euler expansion of $y$. An infinite expansion would give an exact answer, so $O(h^4)$ denotes the error due to the finite expansion.\n",
"Here are the first 3 terms of the Taylor expansion of $y$. An infinite expansion would give an exact answer, so $O(h^4)$ denotes the error due to the finite expansion.\n",
"\n",
"$$y(t_0 + h) = y(t_0) + h y'(t_0) + \\frac{1}{2!}h^2 y''(t_0) + \\frac{1}{3!}h^3 y'''(t_0) + O(h^4)$$\n",
"\n",