Courant–Friedrichs method

The Courant–Friedrichs method is a computational technique used to simulate how physical quantities, like heat or fluids, move through space over time. It works by dividing the space into small chunks (grid points) and stepping forward in small time intervals. At each step, it estimates how the quantity flows from one point to the next, ensuring the simulation respects physical limitations like the maximum speed of wave propagation. This approach helps predict complex behaviors accurately, especially in fields like engineering and physics, by carefully balancing the size of the steps in space and time to maintain stability and correctness.