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Given a positive definite symmetric matrix, what is the fastest algorithm for computing the inverse matrix and its determinant? For problems I am interested in, the matrix dimension is 30...
Asked on 09/30/2021 by Orders
2 answerI wrote a 2D-FEM solver to solve some diffusion process and wanted to verify my code with a test problem.The input was $f(x,y) = x^2+y^2$ and I applied...
Asked on 09/25/2021 by murcielagos
0 answerI'm dealing with a problem as follows:I have a finite set of money ? to spend over ? different raffles, and I need to spend approximately to my budget, with...
Asked on 09/25/2021 by winterwyvern
0 answerI have a sparse matrix $W$ which is almost-squared ($N+1 times N$) and I would like to know the eigenvalues of $A = W^T W$. $A$...
Asked on 09/05/2021
1 answerBefore jumping into my question, let me contextualize it. I'm doing numerical simulations of a Helmholtz scattering problem $$Delta p + kappa^2 p = 0, .$$ The incident pressure...
Asked on 09/05/2021
3 answerHalf the run time of my code right now is evaluating a big function over many, many points, it takes maybe about 20 seconds per evaluation The function consists of...
Asked on 09/02/2021 by Sam Christensen
2 answerI have an objective function F: Nx1 -> Nx1, where N>30000. There are many sparse matrix/tensor multiplications in this function, so taking an analytic Jacobian by paper and pen is...
Asked on 09/02/2021
2 answerI am trying to solve a problem with 2D Convection-Diffusion equation with U = Concentration ($mg/m^{2}$) using Implicit Upwind Finite Difference Method like this $$ frac{partial U}{partial...
Asked on 08/30/2021 by Tan Phan
1 answerI use python for my algorithm which uses only one core and I need more processing speed. I have i7 6700K CPU with 8 cores. How to convert them to...
Asked on 08/29/2021 by bluesky
1 answerI am trying to model a linear elastic material in Abaqus using a UMAT. For my application, I need to rotate the 6x6 compliance matrix for a given set of...
Asked on 08/29/2021 by Sagar Shah
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