saintbenjamin/Maranatha.jl: Maranatha.jl: Numerical Quadrature Continuum Extrapolation Framework in Julia

Maranatha.jl is a research-oriented numerical quadrature framework for Julia. The package provides a modular architecture for: structured multi-dimensional tensor-product quadrature residual-informed derivative error scale modeling covariance-aware least χ² extrapolation toward h → 0 Unlike traditional quadrature libraries that rely on static rule tables, Maranatha derives rule behavior from residual expansions and supports multiple rule families (Newton–Cotes, Gauss, and B-spline). Key features: tensor-product quadrature on [a,b]^d rule-dispatched residual error models covariance-aware least χ² extrapolation publication-quality convergence visualization Source code: https://github.com/saintbenjamin/Maranatha.jl Documentation: https://saintbenjamin.github.io/Maranatha.jl/ Bug fix and documentation improvements Fix serialization bug for multidimensional error centers Ensure result output correctly handles scalar (1D) and coordinate (multi-dimensional) centers Improved README structure and workflow explanation Added Quick Start and Returned Objects sections Updated examples to match the current pipeline API