This is a collection of utilities to solve systems of linear equations. They are written in Python and use numpy and matplotlib. Numerous examples are provided. More details about the algorithm can be ...

Linear equations are of type A * x = B, where A is square coef matrix, x and B are column vectors. We define A and B based on some input and find x using Numpy x = np.linalg.solve(a, b). Matrix A and ...

Example 8.2: Newton's Method for Solving Nonlinear Systems of Equations. This example solves a nonlinear system of equations by Newton's method. Let the nonlinear system be represented by F(x) = 0 ...

Partial differential equations (PDEs) are ubiquitous to the mathematical description of physical phenomena. Typical examples describe the evolution of a field in time as a function of its value in ...