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Computational Science : Recent Questions and Answers (Page 34)

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

GPGPU/FPGA programming for Combinatorial Analysis

Recently, I have taken an interest in performing combinatorial analysis for the game of 21 (blackjack) and attempted to use my AMD APU to try and thread the program via...

Asked on 12/31/2020 by dogman_1234

1 answer

Norm estimates if adjoints can't be computed

Assume that you have two linear maps $A$ and $V$. For a given $x$ (of appropriate dimension) you can compute $Ax$ numerically, and for any ...

Asked on 12/30/2020 by Dirk

0 answer

How can I implement a bvp problem in a non uniform grid?

I want toconstruct a difference method for the the numerical approximation of the solution of the following boundary value problem: $u:[a,b]to mathbb{R}$ function,such that $$ -u''(x)=f(x)$$ and ...

Asked on 12/29/2020 by Mr.Podilatis

0 answer

Python scipy eigh(Arpack) giving wrong eigenvalues for generalized eigenvalue problem

I am trying to solve a generalized eigenvalue problem using Arpack, right now the code is using LAPACK but that's too slow, we only need a few eigenvalues and the...

Asked on 12/29/2020 by Himanshu Chaudhary

2 answer

Is there a simple way to avoid carbuncles for FD WENO methods?

I have implemented finite-difference WENO scheme for Euler equations (with some variants - WENO-JS, WENO-Z, WENO-M, different flux splitting). It works well, but have problem with so-called carbuncles (shock instability...

Asked on 12/28/2020 by omican

1 answer

Partition mesh into predetermined submeshes

I have a mesh already partitioned into disjoint groups of cells. What I want to achieve is the following.Obtain the adjacency graph for the cell groups.Partition the mesh, i.e. generate...

Asked on 12/27/2020 by Zoltán Csáti

1 answer

Implementation details for high order IMEX methods by Kennedy and Carpenter

This question is a continuation ofFourth order IMEX Runge-Kutta method, concerning the implementation. Is seems to me that the first implicit stage value involves a direct evaluation, rather...

Asked on 12/26/2020 by Raibyo

1 answer

DOP853 integration method is missing (SciPy)

I was checking some integration methods provided by SciPy, in which the DOP853 should be included according to the webpage (https://docs.scipy.org/doc/scipy/reference/generated/scipy.integrate.solve_ivp.html#scipy.integrate.solve_ivp). However, unlike others, DOP853 does not...

Asked on 12/26/2020 by J.J

1 answer

Guidelines for publishing data from a stochastic simulation

So, my question is if one should ideally keep a record of all seeds that are used when publishing numerical work that involves one or more random number generators (e.g....

Asked on 12/24/2020

1 answer

Help understanding and implementing fast multipole method for N-body

I've been trying to understand the Fast Multipole Method but not really getting anywhere. It seems like the fastest mainstream N-body simulation algorithm, and I would like to...

Asked on 12/22/2020 by Magnus Wolffelt

2 answer

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