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Computational Science : Recent Questions and Answers (Page 3)

Find answers to your questions about Computational Science or help others by answering their Computational Science questions.

debugging a rotation matrix for elastic constants

I 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

3 answer

Maximum lossless compression ratio for floating point time series

I 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

1 answer

Are there any embarrassingly parallel tasks that require a CPU rather than GPU?

I 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

10 answer

Efficient projection of a vector onto matrix kernel

Given an $m times n$ matrix $A$ and a vector $xinmathbb R^n$, with $m<n$, what's an efficient way of computing the projection of $x$ onto...

Asked on 10/23/2021

1 answer

Calculate stable time step DG method for advection-diffusion

For stable time steps for the RKDG method for transport equations we require that $$Delta t le frac{Delta x CFL}{(2k + 1)|lambda|},$$where $lambda$ is the...

Asked on 10/23/2021

1 answer

Computation of a functional for large values

Consider the following function : $$f(x) = sin^2(frac{πGamma(x)}{2x})$$ Now consider the following functional :$$I(x)=int_0^infty frac{f(x + iy) − f(x − iy)}{e^{2πy}-1} dy$$I need values for of $I(x)$...

Asked on 10/23/2021

0 answer

Getting streamline for a lid driven cavity flow in openFoam/ParaView

I have installed openFoam on Debian GNU/Linux and learning from official user guide. I have a problem with generating streamlines. I am trying to generate streamlines as...

Asked on 10/23/2021

1 answer

How to document math formulations in scientific computing codes?

I am writing the code relate to math. There is some complicated math formulation in the project. Directly writing the calculation code leads to hard understanding; thus I want to...

Asked on 10/23/2021

1 answer

How to begin writing scientific codes in C++ in Trilinos or PETSC style?

My background: I have taken some courses on numerical analysis during my PhD and read a few books on the topic as well. I mostly work on low Reynolds number...

Asked on 10/23/2021

3 answer

Which scheme for inhomogeneous convection-diffusion equation with highly variable coefficients?

I have a 1D convection-diffusion equation $sigma_t = a(x,t) sigma_{xx}+b(x,t)sigma_x+f(x,t)$ defined on the unit interval, with nonzero Neumann boundary conditions at both ends. It should be noted that the...

Asked on 10/23/2021

1 answer

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