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Solving differential equations: Euler vs. Runge-Kutta 4

Learn how to solve differential equations using Euler and Runge-Kutta 4 methods! This tutorial compares both techniques, explaining accuracy, step size, and practical applications for physics and ...
GitHub

2D Lid Driven Cavity Flow

This repo provides a MATLAB example code for the lid-driven cavity flow where incompressible Navier Stokes equation is numerically solved using a simple 2nd order finite difference scheme on a ...
Scientific American

For its 100th birthday, the Schrödinger equation is getting a glow-up from quantum physicists

A century ago, Erwin Schrödinger came up with an equation that says how the quantum world behaves. Now scientists are asking ...
GitHub

delay-differential-equations

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...
IEEE

Automated Math Equation Recognition and Problem Solving using Texify and LLMs

Abstract: The “Automated Math Equation Recognition and Problem Solving with Computer Vision” research work is to develop a framework that utilizes computer vision methods to consequently recognize ...
eLife

Deep learning linking mechanistic models to single-cell transcriptomics data reveals transcriptional bursting in response to DNA damage

This study presents DeepTX, a valuable methodological tool that integrates mechanistic stochastic models with single-cell RNA sequencing data to infer transcriptional burst kinetics at genome scale.