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I have a short question about Time evolving block decimation (TEBD). During a lecture I was told that this method is very efficient in evolving 1D quantum...

Asked on 11/28/2021

1I have a physical model which takes $sim50$ parameters and gives $sim2000$ outputs taking tens of minutes to run. I need to optimize these parameters to give outputs...

Asked on 11/28/2021

2What are the pros of Fourier-Galerkin spectral methods while solving PDEs? Here's the one that came in my mind first:Easy implementation: using this method, differentiation operator computation is really simple...

Asked on 11/23/2021

1I implemented a solver for the 2D steady-state heat equation (without heat generation and homogeneous material) $nabla. (knabla T) = 0$, using finite volume method, however, I am having...

Asked on 11/21/2021

3I apologize in advance if this post is at all ignorant or elementary, I am a pure mathematician who is newly getting into the world of scientific computing. For my...

Asked on 11/19/2021

1I have a point $y in mathbb{R}^d$ and a convex polyhedron $mathcal{P}$ given as the intersection of half-spaces: $$mathcal{P} = {x in mathbb{R}^d mid a_1 cdot x...

Asked on 11/11/2021

1In FEM classes, it's usually taken for granted that the stiffness matrix is positive definite, but I just can't understand why. Could anyone give some explanation? For instance, we can...

Asked on 11/08/2021

2I have a transformation matrix which takes in the elastic constants from the local $rtl$ coordinates and then converts the elastic constants to the global $xyz$ coordinates via a rotation...

Asked on 11/05/2021

3I want to compress an array of time series floating point data as much as possible. Currently the only algorithm I've found for this is XOR compression which works well,...

Asked on 11/05/2021

1I am looking for tasks thatare unsuitable for GPUsgain significant speedup as more CPU nodes are addeddon't require large data transfer or inter-thread communication between nodes.Do any problems of this...

Asked on 10/23/2021

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