Basic Numerical Methods

A practical tool (for students and engineers) to foresee the result of calculus exercises. Calculation and visualization numerical methods for nonlinear equation, ODE, integration, linear system, nonlinear system, polynomial approximation, .....

Features:

Easy, intuitive GUI;

Compute roots of nonlinear equations (Bracketing methods (Bisection, Regula-Falsi) and Open Methods (Newton-Raphson,fixed point and secant));

Solving systems of linear equations (Direct methods (Gauss) and Iterative methods (Jacobi, Gauss-Seidel));

Solving systems of nonlinear equations (fixed point and Newton-Raphson);

Polynomial approximation calculator (Lagrange, Newton's Interpolating Polynomials);

Calculate numerical integral (Trapezoidal, and Simpson's 1/3 and Simpson's 3/8 rules);

Solve first order ordinary differential equation (Euler, Runge-Kutta and Kutta-Merson);

Plot the original expression and result within a given range;

English GUI.