Numerical Analysis Simulators

Find roots of f(x)=0 with the bisection method on f(x)=x^3-2x-5. Visualize midpoints, the shrinking bracket and log10 width decay. Tune interval, tolerance, max iter.

Visualize how five variables for cylinder drag collapse into two dimensionless groups (Re and C_D). Link model and prototype through dynamic similitude and learn how sca…

Experience Gauss-Legendre quadrature, the rule the finite element method uses to integrate element stiffness matrices.

Visualize the sample points and weights of Gauss-Legendre quadrature. Change the point count, integration interval and integrand to learn why few points give high accura…

Compare Lagrange, Newton, cubic spline, PCHIP, and linear interpolation on the same chart. Experience Runge's phenomenon with high-degree polynomials.

Find roots of f(x)=0 with the Newton-Raphson method. Visualize tangent steps and the log10 error curve for f(x)=x^3-2x-5. Tune initial guess, tolerance, and relaxation.

Compare Trapezoidal, Simpson's, Gauss-Legendre & Romberg integration methods. View error convergence rates and accuracy orders in a detailed log-log chart.

Visualize fixed-point iteration — rewrite an equation as x = g(x) and repeat x_{n+1} = g(x_n). Change the map g(x), the starting value and the step count to watch the co…

From three step sizes and three numerical solutions, get the observed order of accuracy p and the Richardson-extrapolated true value u_ext in real time. Designed for CFD…

Compare five numerical integration methods — left, right, midpoint, trapezoidal, and Simpson's rule — intuitively. Increase partition count n and observe how errors conv…

Visualize the secant iteration x_{n+1}=x_n-f(x_n)*(x_n-x_{n-1})/(f(x_n)-f(x_{n-1})) on f(x)=x^3-2x-5. Watch secant lines, the log10 error curve, and tune the two initial…

Calculate significant figures, apply rounding rules, and determine measurement uncertainty for addition, subtraction, multiplication, division, and more.

Build a natural cubic spline through 6 data points in real time. Compare it with linear interpolation and a theoretical curve, and see why a tridiagonal system produces …

Enter a measurement formula and go beyond first-order GUM propagation: a 4th-order Taylor expansion yields the mean shift, variance correction, skewness, and kurtosis, c…

Use this page to relate representative assumptions to nearby design assumptions and key metrics before moving into the adjacent engineering checks.

See how polynomials approximate sin, cos, eˣ, ln(1+x) and more. Adjust expansion point and order to explore convergence radius and approximation error interactively.

Visualize truncation error and order of accuracy with our . Understand numerical methods through interactive graphs and examples.