Adrian Portillo Fernández’s Post

📢 On the occasion of may 1st and labor day below you can find a free access link to my recent preprint (written together with Tomasz Bochacik) on convergence and stability of randomized implicit two-stage Runge-Kutta schemes for approximate solving of ODEs 😊 https://lnkd.in/d-AQSm9C In aprticular, comparing to the deterministic schemes, we observed a new interesting phenomenon: the two-stage randomized RK scheme is A-stable asymptotically and in probability but not in the mean-square sense. 

[New preprint] Joint work with Sourav Dutta and Prabha Mandayam. Practical significance: A family of codes with low resource overhead that outperform existing codes in the literature. Theoretical significance: The codes developed satisfy a relaxed version of the Knill-Laflamme conditions, which we outline, and this version has the potential to be used in designing optimal codes for other noise processes. Comments welcome.

New publication 'Latin hypercubes realizing integer partitions' by Diane Donovan, Tara Kemp, and James Lefevre. Abstract For an integer partition h1+⋯+hn=N, a 2-realization of this partition is a latin square of order N with disjoint subsquares of orders h1,…,hn. The existence of 2-realizations is a partially solved problem posed by Fuchs. In this paper, we extend Fuchs' problem to m-ary quasigroups, or, equivalently, latin hypercubes. We construct latin cubes for some partitions with at most two distinct parts and highlight how the new problem is related to the original. https://lnkd.in/gbdFxki8

Ironically, writing my paper on reducing time and memory requirements in transient topology optimization took quite some time. After writing on it on and off since 2020 it’s accepted and published now! https://lnkd.in/earv8Pm4   The paper evaluates several of the state-of-the-art methods and proposes two novel methods to reduce memory requirements while maintaining computational time to a minimum in transient topology optimization. To give an overview and guidelines for users, we provide a decision tree to select the appropriate algorithm:

Hello LinkedIn At the age of 14 (turning 15) I managed to get my paper accepted into the ArXiV. This paper is about generalizing sigma notation to non-integer upper and lower bounds. You can check out my preprint here: https://lnkd.in/gxKd9xpH

I am happy to share the preprint “Solving Third Order Linear Difference Equations in Terms of Second Order Equations”, which is joint work with Mark van Hoeij and Man Cheung Tsui https://lnkd.in/e-fQifUN

In today's digest: 2 studies. They are unrelated, but both show elements of image duplication. In study 1 we see so called 'corner clones'. This might happen when an author or a journal is removing some sort of panel indicator from an image and are replacing it with another one. In study 2 we see the reuse of an image. However, the reused image seems to be rotated a little bit, which makes a simple 'copy-paste' error less likely. Both studies were published in 2021.

Your leadership style and how you interact with your team has direct influence on their wellbeing. That is a hefty responsibility for a leader. How do you as a leader carry that responsibility? #leadership #wellbeing #responsibility

Anyone who has had a bad manager or work environment knows how true this is! (Grateful to say that I've never been in that position - shoutout to my amazing managers who acted more as coaches and mentors!) SO little time and energy goes into building the appropriate mindset and skills to be put into the position of "manager" that it's not all that surprising we've got some duds out there (no offense to the duds). Outside of parenting, managing adults taught me more about myself, about interpersonal dynamics, about communication, about giving and recieving feedback, about unhooking from your own perceptions.... it's 𝐇𝐀𝐑𝐃 work, and often very little of it comes naturally. I'm passionate about this work b/c of the impact it has on our lives... and because I deeply believe it's a problem that has solutions! #leadership #managers #workdoesnthavetosuck #growth #development

Agrees with this..