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I have a kind of general question about approximation schemes in nonlinear functional analysis. Given a nonlinear map $Phi$ from an open set (in an infinite dimensional Banach space)...
Asked on 01/21/2021
0 answerFor a given integer $ninmathbb{N}^*$, I want to find a pair $(x,y)in{mathbb{N}^*}^2$ such that $x*y=n$ and $|y-x|$ is as small as possible. A naive...
Asked on 01/20/2021 by Annyo
1 answerI have a computer model with a number of parameters that need to be calibrated based on experimental results. It's also important to understand the sensitivity of the results to...
Asked on 01/19/2021 by JN_
2 answerI have been unable to find the equivalent of the 5-point stencil finite differences for the Laplacian operator. In 2 dimensions for me it is clear that, using the...
Asked on 01/19/2021 by Nankin
1 answerI'm a PhD student in genetics and molecular biology working on an algorithm to identify if a DNA sequence is either a transposable element (TE) or not a TE using...
Asked on 01/18/2021 by Tiago Minuzzi
1 answerI am writing a code to calculate mesh quality stats such as: cell volume, face areas and non-orthogonality between faces (basically something like OpenFOAM's checkMesh). As per ...
Asked on 01/17/2021 by Algo
1 answerMixed FE formulations with LBB-stable elements require two different meshes for the primary and the constraint variables, for example, displacement and pressure. With continuous approximation for the pressure field, I...
Asked on 01/16/2021 by Chenna K
2 answerSuppose we want to solve an FEM problem in terms of HPC. What is the most usual way to do it:Using an open-source software like mfem,deal.ii etc.. or,Assembly the system...
Asked on 01/15/2021 by spyros
5 answerI was messing around with some numerical integration functions. I wrote an arbitrary differential equation to test my understanding, the code is as follows:import numpy as npfrom scipy.integrate import...
Asked on 01/13/2021 by contain100pctrecycledfibre
1 answerThe central difference scheme:$$frac{d^2u}{dx^2}=frac{u_{n+1}-2u_i + u_{n-1}}{Delta x^2}$$yields a tridiagonal coefficient matrix [1 -2 1]; As the number of points gets larger, this matrix becomes ill-conditioned. Yet this is...
Asked on 01/13/2021 by ben142
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