Numerical dispersion refers to the phenomenon where numerical methods used to solve partial differential equations (PDEs) inaccurately represent wave propagation, leading to unwanted oscillations and inaccuracies in the numerical solution. This issue is particularly prominent in problems like wave equations, where the exact solution involves wave propagation at specific speeds. Numerical dispersion arises from the discretization of the equations, often causing errors that grow with time and affect the stability and accuracy of simulations.
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