Top new questions this week:
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I am looking for an algorithm to select the largest subset of $M$ points from a set of $N$ points ($M < N$) such that no point is within a certain minimal distance d to any other point in $M$? I …
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Most FEM texts or tutorials apply FEMs on diffusion equations where the 2nd spatial derivative is integrated by parts during weak formulation. For convection diffusion equations, there is also a first …
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I am working on tomographic image reconstruction (radar regime) of the dielectric properties of objects. As part of my work, I have programmed a ray tracer. This ray tracer is, in a way, purely “…
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I am solving an L1 regularized least squares of the form like: $$ \arg \min_{\boldsymbol{x}} \frac{1}{2} {\left\| A \boldsymbol{x} – \boldsymbol{y} \right\|}_{2}^{2} + \lambda {\left\| \boldsymbol{x} \…
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What is the space complexity of a semidefinite program (SDP)? What is the answer to the same question for convex optimization problems in general?
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I am currently adopting a Newmark algorithm, for which the system of equation is $$(M+{\beta}{\Delta}t^2{K}){d_i}=\beta{\Delta}t^2{F_i}+Md_{i-1}+{\Delta}tM\dot{d}_{i-1}+{\Delta}t^2M\left(\frac{1}{2}-\…
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Greatest hits from previous weeks:
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I want to modify a dense square transition matrix in-place by changing the order of several of its rows and columns, using python’s numpy library. Mathematically this corresponds to pre-multiplying …
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I am solving differential equations that require to invert dense square matrices. This matrix inversion consumes the most of my computation time, so I was wondering if I am using the fastest algorithm …
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How do CUDA and OpenCL compare to each other as of late 2013 from a programmer’s perspective? My group is thinking about trying to make use of GPU computing. Would we be limiting ourself …
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How to find all roots of an equation in Matlab? I tried and it gave me just one of the roots. For example: my equation is $F(x)=0$ where …
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I am looking for a C++ tensor library that supports dimension-agnostic code. Specifically, I need to perform operations along each dimension (up to 3), e.g. calculating a weighted sum. The dimensions …
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What is the preferred and efficient approach for interpolating multidimensional data? Things I’m worried about: performance and memory for construction, single/batch evaluation handling dimensions …
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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! $k$…
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