From 20th to 25th of February 2017 I participated in a workshop organized by the Faculty of Mechanics and Mathematics of the Al-Farabi Kazakh National University. The goal of this workshop was mainly to discuss a new Bachelor degree Programme Applied and Computational Mathematics. The particularity of this Programme is that all courses are going to be taught in English. This educational programme is a part of the “Kazakhstan 2050” Strategy.
Among the participants (besides the Author of this post) we had the pleasure to count the following experts:
Sergey Cherny, Institute of Computational Technologies, SB RAS, Russia
This Matlab code computes irrotational 2D periodic steady surface pure gravity waves of arbitrary length in arbitrary depth. The formulation is based on the so-called Babenko equation and pseudo-spectral discretization in the conformal domain. The resulting equation is solved using Petviashvili iteration method.
In the continuation of our previous short publication on peaked solitary capillary-gravity waves, we submitted the full manuscript, which investigates this system of equations (capillary-gravity Serre model) in more details:
Personally, I am not a user of SageMath, however, I find that the speaker rises the right questions about open source development and he points out difficulties that the speaker (and his colleagues) encountered on this way.
Just to give some idea about the content, I give here a couple of quotations from this talk:
“Every great open source math library is built on the ashes of someone’s academic career.”
“I can’t figure out how to create Sage in academia. The money isn’t there. The mathematical community doesn’t care enough. The only option left is for me to build a company.”
I can only endorse the speaker on these points. The software development effort is clearly undervalued in Academia. The general opinion is that if you are a really good mathematician you build a theory. And implicitly, if you are mediocre, you just code. This inadmissible attitude has to change.
I would like to share with you a couple of videos coming from the Michigan Engineering (University of Michigan) that I find particularly interesting and informative. The first one is given by Phil Roe, a well-known person in the finite volume community. He gives a critical account of the state-of-the-art in CFD, meshes and existing problems. This talk is to listen absolutely if you are interested in computations.
As a side remark, there is a pretty interesting report produced by NASA on a very close topic:
And as promised, the second video is devoted to common misconceptions in aerodynamics. It is delivered by Doug McLean who made his career at Boeing. To listen absolutely, if you want to understand truly, for example, why airplanes fly (but not only):
I would like to share here two recent publications which resulted from my collaboration with one Brazilian (LST, PUCPR) and one French (LOCIE UMR 5271) laboratory. They are both devoted to the problems of the Heat And Mass (HAM) transfer problems in porous materials. More specifically, the first publication is devoted to the problems of explicit/implicit time discretizations and how to overcome slightly the CFL-type stability limit:
The second manuscript is about the spatial discretization of HAM transfer equations using Scharfetter-Gummel-type schemes. Then, the proposed schemes are used to validate the model against experimental data: