# Questions tagged [differentiation]

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### second order finite function for 2D function in Python

My task is to Implement the derivative with the 2nd order finite difference for 2D functions. Evaluate the accuracy of the numerical derivatives of J(x,y) at the point (x = 5, y = −2) by determining ...
181 views

### Calculating the antiderivative numerically

HeIIo everybody, in the standard literature topics like numerical differentiation and numerical integration are usually discussed in detail. However, numerical integration is not the same as ...
88 views

### How to derive the adjoint sensitivity equations for a least squares objective function gradient

The Problem I would like to determine the gradient of a least squares objective function which depends on a vector of 40 parameters $p$, and the solution of a system of 32 differential equations. In ...
5k views

### Solving coupled differential equations in Python, 2nd order

I have a system of coupled differential equations, one of which is second-order. I am looking for a way to solve them in Python. I would be extremely grateful for any advice on how can I do that! $k$...
99 views

### Finding derivative of Matrix at different grid points using Finite difference methods/ Cholesky Factorization

I want to code this problem in MATLAB. It would be a huge help if someone can suggest to me how I can approach it. I need to solve the below-highlighted equation, I need ...
I have a second-order tensor for which I need to compute the derivatives of its determinant and inverse w.r.t. itself. The equations are as follows: \frac{\partial \, det(\mathbf{F})}{\partial F_{...