Bisection Method
Animated root-finding with interval zoom, iteration table, and multiple examples.
ExploreInteractive Numerical Methods Tools
Explore key numerical methods through interactive JavaScript visualizations. Adjust parameters and observe approximations in real time.
Interactive tools for exploring key numerical methods — from root finding and interpolation to data fitting and finite differences.
Root Finding
- Bisection Method — animated root-finding with interval zoom, iteration table, and multiple examples
- Newton's Method — animate the iterative root-finding process and observe convergence behavior
- Fixed Point Iteration — visualize cobweb diagrams for fixed-point iteration, convergence, and chaos
Interpolation & Data Fitting
- Polynomial Interpolation — construct interpolating polynomials through given data points
- Polynomial Least Squares — fit polynomials to data and analyze residuals
- Rational Function Least Squares — approximate data with rational functions
Differentiation
- Finite Differences — generate finite difference stencils with truncation error estimates
Accessibility
All tools are designed to meet WCAG 2.1 AA standards. They include keyboard navigation, screen reader support, high-contrast mode, visible focus indicators, and ARIA labels throughout.
Tool Descriptions
Newton's Method Visualizer
Animate the iterative root-finding process and observe convergence behavior.
ExploreFixed Point Iteration
Visualize fixed-point iteration one segment at a time. Watch convergence, period-doubling cascades, and chaos unfold. Classify stability and compute the Lyapunov exponent live.
ExplorePolynomial Interpolation
Construct and visualize interpolating polynomials through given data points.
ExplorePolynomial Least Squares Data Fitting
Fit polynomials to data using least squares and analyze residuals.
ExploreRational Function Least Squares Data Fitting
Approximate data with rational functions via least squares optimization.
ExploreFinite Difference Generator
Generate finite difference stencils with truncation error estimates.
Explore