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A Python desktop application for solving mathematical equations using various numerical methods. This interactive tool provides a modern GUI for inputting equations and visualizing results through interactive plots. Features include solution history tracking, customizable settings, and PDF export capabilities.
First explicit curvature correction formula for fractional Laplacians on curved manifolds. Complete proof via heat kernel expansion, validated computationally on S². Applications in anomalous diffusion, thermal field theory, and curved spacetime physics.
Evaluating several new approaches to improve convergence of Randomized Kaczmarz (RK) for consistent ill-conditioned systems. This project explores the availability of convergence information among pairwise row differences and analyzes sampling techniques that involve clustering and spectral analysis.
This repository contains a robust and flexible Python package for solving ordinary differential equations (ODEs). It supports both Runge–Kutta schemes (explicit, DIRK) and BDF multistep methods, with adaptive time-stepping and strong support for sparse Jacobians--making it well-suited for large-scale and stiff problems.