Python Is So Slow. Can Julia Solve the Two-Language Problem?

By some benchmarks, Julia code can run 10X to 1,000X faster than Python—but there’s a reason it’s not a very popular ...
New Scientist

The sneaky maths trick for solving problems without answering them

How can you have a proof without proving anything? Mathematicians found a way and, in the process, came to blows over it – ...
SciELO

Solving Weighted Orthogonal Procrustes Problems via a Projected Gradient Method

This paper proposes a family of line-search methods to deal with weighted orthogonal procrustes problems. In particular, the proposed family uses a search direction based on a convex combination ...
Frontiers

Applying neural ordinary differential equations for analysis of hormone dynamics in Trier Social Stress Tests

Introduction: This study explores using Neural Ordinary Differential Equations (NODEs) to analyze hormone dynamics in the hypothalamicpituitary-adrenal (HPA) axis during Trier Social Stress Tests ...
PNAS

Bridging the gap between models based on ordinary, delayed, and fractional differentials equations through integral kernels

This study centers on incorporating memory effects (the impact of past events on current states) into mathematical models for population dynamics. It introduces a framework based on the gamma ...
GitHub

Phase Plane and Slope Field

You can use the Phase Plane and Slope Field apps to qualitatively analyze ordinary differential equations (ODEs). Phase Plane app: Analyze two-dimensional autonomous ODE systems. Slope Field app: ...
Frontiers

A space-time domain RBF method for 2D wave equations

In the present study, we demonstrate the feasibility to reveal the numerical solution of the multi-dimensional wave equations. A simple semi-analytical meshless method was proposed to obtain the ...