Questions tagged [efficiency]

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12
votes
1answer
425 views

Costs of lookups versus calculations

I am interested in setting up calculations to check if a distance criterion is satisfied: that is, the distance between a vector ${\bf x}_i$ and anther vector ${\bf x}_j$ should be less than some ...
7
votes
1answer
291 views

Accurate and efficient computation of the inverse Langevin function

The Langevin function $\mathcal{L}(x) = \mathrm{coth}(x) - \frac{1}{x}$ occurs in computations related to elastomers and paramagnetic materials. It is easily computed accurately and with high ...
10
votes
3answers
8k views

Nvidia K20X vs GeForce Titan for GPGPU acceleration

Im trying to understand the difference between these two graphics cards for academic computing, specifically for the DGEMM component. If we look at the raw statistics, both have the same GK110 chip, ...
7
votes
2answers
322 views

Comparing various implementations/software packages for large-scale finite element simulations

I currently use FEniCS and Deal.II to solve various FEM problems. I am also writing my own implementation of these problems by directly implementing the data structures, routines, and solvers within ...
4
votes
2answers
86 views

How to efficiently invert $K \otimes M+I_T\otimes \Sigma$?

I'm looking for a way to efficiently invert $$K \otimes M+I_T\otimes \Sigma$$ where the inverses for $M,K$ exist. $I_T$ is the identity matrix of dimension $T$, and $\Sigma$ is a diagonal matrix, with ...