More from Math Visualization
Other simulators in this category — or see all 85.
Newton Fractal
Basins of attraction for Newton iteration on zⁿ−1 with adjustable relaxation ω.
Newton's Method (1D)
Graph f(x), click x₀, iterate x − f/f′ with numeric derivative; pan and presets. Complex basins: separate Newton fractal sim.
Runge–Kutta Stability Regions
Absolute-stability regions in the z = hλ plane for explicit Euler, RK2, and RK4; move λ and h, compare |R(z)|, and see why stiff modes constrain explicit time steps.
Heat Equation: Finite Differences
1D heat equation u_t = αu_xx with explicit FTCS and implicit backward Euler; tune CFL r = αΔt/Δx², watch explicit blow-up for r > 1/2, and compare numerical diffusion.
Advection Schemes: Upwind / LW / MacCormack
Linear advection u_t + cu_x = 0 on a periodic grid: compare upwind diffusion, Lax-Wendroff and MacCormack dispersive ringing, exact pulse translation, L2 error, and CFL ν.
Finite Element Poisson Solver (2D)
Triangular P1 finite elements for -Δu=f on a square: assemble stiffness matrices, pin Dirichlet nodes or add natural Neumann flux, solve by CG, and view potential as a colored membrane.