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numerical-analysis

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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.

  • Updated Dec 13, 2025
  • Python

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.

  • Updated Nov 19, 2025
  • Python

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.

  • Updated Nov 7, 2025
  • Python

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.

  • Updated Oct 21, 2025
  • Python

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