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Computational Science : Recent Questions and Answers (Page 23)

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

When and when not to use automatic differentiation

I am just learning (more) about automatic differentiation (AD) and at this stage it kind of seems like black magic to me. The second paragraph of its Wikipedia...

Asked on 04/22/2021 by tmph

1 answer

Stochastic differential equation system (SDE) : overflow encountered in double-scalars

I'm trying to integrate the following SDE system from Dekker et al. To do that I'm using the ...

Asked on 04/22/2021 by Mathieu Rousseau

0 answer

Error too large in leapfrog method for solving the wave equation of a vibrating string

I have been trying to figure out what I did wrong for the last two days. I do not know if I actually did something wrong or if the error...

Asked on 04/20/2021

1 answer

MPI_Test not progressing MPI_Isend/MPI_Irecv requests

I am running a CFD simulation with a 200,000-vertex mesh. I've decomposed the mesh into 2 load-balanced sub-domains to test my parallel implementation. In the specific function that I am...

Asked on 04/18/2021

1 answer

How does gmres method iteration behave for this non-diagonalizable matrix?

Recently, I have been studied my lessons about gmres iteration, probably the most popular iteration method for general large sparse linear system of equations Ax=b. And the convergence is obtained...

Asked on 04/17/2021 by sunshine

4 answer

A priori error estimates - finite element method - mixed boundary conditions

Consider the problem$$ left{begin{array} {rcl}-Delta u & = 0 & text{ in } Omegau & = 0 & text{ on } Gamma_Dfrac{partial...

Asked on 04/16/2021 by Beni Bogosel

0 answer

'Eigen' matrices with static dimension

I noticed that 'Eigen' matrices with dynamic dimension are less efficient than the matrices with static dimension. My algorithm uses a lot of matrices which don't need to be resized,...

Asked on 04/15/2021

1 answer

Dirichlet Boundary Condition finite difference method using sparse-matrix $Ax = b$ system

I am trying to solve the boundary value problem for heat equation: $$u_{xx} + u_{yy} = f(x,y)$$ where the solution $u(x,y) in [0,1] times...

Asked on 04/14/2021

1 answer

Checking singularity of a matrix

Suppose that we don't know $n times n$ matrix $A$ explicitly but we are only able to compute products $Ax$ where $x$ is a column vector...

Asked on 04/14/2021 by Tommi Höynälänmaa

5 answer

What's the state of the art in parallel ODE methods?

I'm currently looking into parallel methods for ODE integration. There is a lot of new and old literature out there describing a wide range of approaches, but I haven't found...

Asked on 04/13/2021 by Florian Brucker

3 answer

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