VisuApps
Numerical methods made tangible — accuracy, convergence and their pitfalls.
Apps
Solve the Laplace equation (Dirichlet) via multigrid: the error at each grid level as a stacked 3D wireframe relief. Smoothers (Jacobi/Gauss-Seidel) remove high frequencies, restriction/prolongation/coarse-grid solve the smooth remainder — V/W cycle step by step, with error history and a solution heatmap.
NumericsTry it
Root finding via tangent linearization: xₖ₊₁ = xₖ − f(xₖ)/f′(xₖ). Step by step to quadratic convergence — including a divergence example that shows when the method fails.
NumericsTry it
Approximate the area under f(x) with rectangles, trapezoids or Simpson parabolas. Slide n and see in the log–log diagram how the order of convergence (slope) determines the method: O(h) vs. O(h²) vs. O(h⁴).
NumericsTry itWant to use these apps in your courses? Let’s find out what works for you.
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