More from Math Visualization
Other simulators in this category — or see all 78.
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.
Multigrid Relaxation
1D Poisson error dynamics: Jacobi and Gauss-Seidel smooth high-frequency error, while a V-cycle uses residual restriction and coarse-grid correction to remove low-frequency modes.
Gaussian Process Regression
Interactive GP regression with RBF and Matérn kernels: tune length scale/noise, add observations by clicking, view posterior mean with uncertainty bands, and sample at max posterior variance.