Computational Science Questions, Problems & Solutions : TransWikia.com ~ Page 13

Drawing saddle node bifurcation diagram for a non-linear ODE in Python

I'm trying to draw the bifurcation diagram of the following ODE, This ODE leads to a saddle-node bifurcation...

Asked on 08/10/2021

1 answer

Would modeling a fluid flow that decreases in magnitude violate conservation of mass?

If I make a quasi-steady assumption in a model such as keeping the fluid density constant and assuming the flow is incompressible, does modeling a flow with decreasing velocity /...

Asked on 08/10/2021 by user36873

1 answer

How can I deal with optimization problems that have a sum of functions of Z as a constraint when Z is the quantity to be minimized?

I have a problem where I have to minimize a certain quantity $Z$ subject to the following constraints:-$w_1 + w_2 + w_3 = 1$$frac{f_1(w_1*Z) + f_2(w_2...

Asked on 08/09/2021 by Green Noob

1 answer

What is difference between L2 norm and H2 Norm?

When someone refers 2-norm of system,L2 and H2 are used interchangeably by author and is rather confusing. Even the matlab has different functions for H-infinity norm and L-infinity norm. as...

Asked on 08/07/2021 by Syed Tirmizi

1 answer

Computing Singular Value Decomposition of small ($4times 4$) matrices

I need to compute the Singular Value Decomposition (SVD) of many $4 times 4$ matrices. I'm looking for SVD algorithms specialized for small matrices. I've read that the std::vector...

Asked on 08/05/2021

0 answer

What are some algorithms to calculate the width of an arbitrary polygon when a bounding box approximation is inaccurate

What are some alternative algorithms to creating a bounding box for finding the max width of a concave, simple winding polygon, like the one in the below image? I prefer...

Asked on 08/04/2021 by Addie

3 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 08/04/2021

1 answer

RBF-FD laplacian solver on python

I am trying to find a laplacian of the function explicitly using the RBF-FD approach The function is sin(pi*x)*cos(pi*z/2) and its analytical solution of the Laplacian is -5/4*(pi^2)*sin(pi*x)*cos(pi*z/2)The parameters...

Asked on 07/31/2021 by Alex97

0 answer

Is there a source/cookbook of equations that approximate geometric shapes?

I'm numerically modelling flows around various geometric 2D shapes. Is there a good source/cookbook of equations that approximate these? Some examples areRectangle:$(x-a)^n+(y-b)^n < r^n$ where $r$...

Asked on 07/31/2021 by Friasco

1 answer

I am searching for a C++ code implementing the complex polygamma function

I googled about some code on the complex polygamma function especially C++ code, but can't find anything. Does anyone know where to find such code? The complex digamma function does...

Asked on 07/31/2021 by Silverwhale

2 answer

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