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Results tagged with jacobian
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user 5553
Questions related to the calculation or use of the Jacobian matrix or its determinant. Not to be confused with the Jacobi iterative method for solving systems of linear equations. For those, use [iterative-method] instead.
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Is there a relatively simple way to extract the Jacobian from a Runge-Kutta 4/5 integrator?
93Kutta_methods
Due to the recursive nature of the Runge Kutta calculations such as
$$k_1=f(y_n)$$
$$k_2=f(y_n+a_{21}k_1)$$
$$k_3=f(y_n+a_{31}k_1+a_{32}k_2)$$
I'm having issues figuring out how to calculate the Jacobian … $$J(t) = [\frac{dy}{dk_a} \frac{dy}{dk_m} \frac{dy}{dk_n}]$$
So, if I framed this question properly, is it possible at some point during the RKF calculation to construct a Jacobian to pass out to Scipy …
