Module utils 

Utility functions for numerical integration

This module provides utilities needed across multiple integration methods.

Functions

newton_method

Newton method for solving a system of nonlinear equations

newton_method_with_param

Newton method for solving a system of nonlinear equations with a scalar parameter

numerical_jacobian

Compute the numerical Jacobian of a vector-valued function

numerical_jacobian_with_param

Compute the numerical Jacobian of a vector-valued function with scalar parameter

solve_linear_system

Solve a linear system using Gaussian elimination with partial pivoting