MSC2010: 05A19, 05A10, 11B83, 03C40. Keywords: Sums of powers, Newton's interpolation formula, Finite differences, Binomial coefficients, Faulhaber's formula ...

Abstract: This paper introduces an Outer Approximation (OA) method for solving discrete AC Optimal Power Flow (OPF) problems that account for switching decisions. The OPF problem is formulated via the ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Abstract: In this letter, a 2-D parameter-optimized spatial finite-difference temporal differential (SFDTD) method is presented, referred to as the PO-SFDTD method. First, the dispersion ...

A new approach in the finite difference framework is developed, which consists of three steps: choosing the dimension of the local approximation subspace, constructing a vector basis for this subspace ...

Looking backward over 2023 and looking forward to 2024 recalls ancient wisdom. Ecclesiastes: "What has been will be again, what has been done will be done again; there is nothing new under the sun." ...

Scientists trying to take advantage of the unusual properties of the quantum realm say they have successfully simulated a method of backward time travel that allowed them to change an event after the ...

(The code of this last work can be found in this GitHub folder.) If you have used our code for research purposes, please cite the publication mentioned above. For the sake of simplicity, we provide ...