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Computational Science : Recent Questions and Answers (Page 37)

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

Symmetric matrix which satisfies conditions of the form $v_i^T X v_i = 0$

I want to solve an underdetermined system of linear equations $A x = b$ with $A in mathbb{R}^{n times r^2}, x in mathbb{R}^{r^2}, b in mathbb{R}^n$. The matrix...

Asked on 12/04/2020 by nkyraf33

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 12/03/2020

9 answer

Iterative single variable solutions in large linear systems

I have a system where $A$ is a large $ntimes n$ marix with fast MVMs. It may have many nonzero entries (albeit in a structured way so as to allow...

Asked on 12/03/2020 by VF1

1 answer

Meshing surface of a sphere with a subdomain

I am trying to build a triangle mesh of the surface of a sphere which also includes a subdomain defined by a 'polygon'. Here is a successful example (subdomain defined...

Asked on 12/03/2020 by Fab von Bellingshausen

2 answer

Reading VTK file into C++ for analysis

I 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 12/02/2020 by WBSS

1 answer

Crank-Nicolson solution of parabolic PDE with Newumann boundary conditions

I am trying to solve the non-linear parabolic PDE in $c(t,r)$$$c_t=frac{1}{r}(rDc_r-alpha r^2 c)_r$$with initial condition $c(0,r)=f(r)$and boundary conditions $c_r(t,r_1)=alpha r_1c_1/D$ and ...

Asked on 12/01/2020 by Woody20

0 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 12/01/2020 by Debasish Das

2 answer

How GMRES method finds smallest singular value and the corresponding singular vectors of a matrix?

https://stackoverflow.comKrylov solvers for iterative computation of the smallest singular value and the corrensponding singular vectors of a matrixEdit: This is a follow-up question to How to implement flexible...

Asked on 12/01/2020 by Luljeta Hoda

2 answer

numerical solution to pde on an ellipse

Looking for advice on discretization (preferably finite difference) schemes for pdes on curves in general, but in this case it is an ellipse (so given by $(acos(r), bsin(r)$). The...

Asked on 11/30/2020 by lrs417

0 answer

Numerical simulation for a bounded process. Is slight deviation a "normal" fact?

Suppose I have to numerically simulate a process ${y_t}$ such that $y_tgeq0$ $forall tinmathbb{N}$, with $t$ denoting time-step. Let's suppose I use MonteCarlo with $mathscr{N}$...

Asked on 11/29/2020

0 answer

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