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In paper "Variational multi-scale finite element solution of the compressible Navier-Stokes equations", the author solve the fine scale solutions, but the fine scale solutions should vanish ...
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I'm trying to choose a processor type for an HPC cluster for calculations with MODFLOW 6 (extended version). I'm looking at the F and X variants of AMD Epyc processors. The F variant has a higher ...
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I am trying to implement the Complex and Real Schur Decompositions using only the Keras Ops API, so I can utilize it to impose some eigenvalue constraints on a weight matrix. I am also using the JAX ...
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Solve the following problem: $$ \begin{alignat*}{3} \arg \min_{ \boldsymbol{x} } & \quad & \frac{1}{2} \left\| \boldsymbol{x} - \boldsymbol{y} \right\|_{2}^{2} \\ \text{subject to} & \quad ...
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I’m implementing a 3D Laplace Fast Multipole Method in Python and I’m trying to validate my P2M, potential evaluation, and M2M steps against direct summation. P2M + evaluation agree with direct ...
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I'm trying to code the path integral simulation described in this article. I followed all the instructions, but no matter how hard I try, my program won't work. Could someone please explain what I am ...
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I've seen a lot of papers with the terms top-k, bottom-l, avg-k, etc e.g. in this paper. Is there a usual meaning for the k and l that I'm unaware of? Maybe I didn't pay due attention during ...
bad_coder's user avatar
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I’m running computational fluid dynamics simulations where small perturbations lead to divergent trajectories (chaotic systems). Even with fixed seeds, compiler differences and rounding lead to ...
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I'm reading through this research paper, and from section 2, I have deduced that the Finite Fourier Sine Transform along $0\le x\le L_x$ is formulated as $$F(m) = \frac{2}{L_x}\int_0^{L_x} f(x) \sin\...
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I'm numerically integrating electron trajectories through a combination of static electric and magnetic fields. The classical equations of motion are trivial, but since kinetic energy may reach 20 keV ...
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I am coding with FEnicsx by using variational multiscale method and add an extra shock capturing method, about a high pressure gas ball(1cm radius with pressure 65 atm and 1400K), in the initial case, ...
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I am running a vc-relax calculation in Quantum ESPRESSO for ZnCu₂SnS₄. Cutoff energy: 75 Ry k-point mesh: 6×6×6 SCF converges well (total SCF corrections ~1e-5 Ry) Issue: Total forces oscillate ...
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Chaotic systems like weather models are extremely sensitive to initial conditions, and computers can only store finite precision. What algorithms or statistical techniques are used to keep results ...
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I am currently struggling with the implementation of the compressible Navier–Stokes equations in my research work. To simplify the problem as much as possible, I reformulated it as a textbook-like ...
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I have the occasion to be reviewing some of the "basics" of the finite element method. In particular, I am interested in several technical details related to the combination of the FEM with ...
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