MATLAB Code for: An Adaptive Hybrid Quadrature Scheme: Combining Simpson's Rule and Gaussian Quadrature for Enhanced Numerical Integration

This repository contains the complete MATLAB implementation of the Adaptive Hybrid Quadrature Scheme (AHQS) along with all numerical data supporting the publication "An Adaptive Hybrid Quadrature Scheme: Combining Simpson's Rule and Gaussian Quadrature for Enhanced Numerical Integration." The package includes:1. MATLAB code implementing the AHQS algorithm2. Numerical data for all 7 figures in the paper3. Numerical data for all 3 tables in the paper 4. High-resolution PNG images of all figures5. Scripts to regenerate all results Files are organized in the following structure:- /code/: MATLAB implementation and analysis scripts- /data/figures/: Numerical data for figures (MAT and CSV formats)- /data/tables/: Numerical data for tables (MAT and CSV formats)- /figures/: PNG images of all figures- /documentation/: README and file descriptions This software implements an adaptive hybrid numerical integration method that combines Simpson's rule and Gaussian quadrature with an intelligent switching criterion based on function behavior.