BFN cannot uniquely recover initial conditions from sparse observations in dissipative systems like Lorenz 1963 and Burgers equation, as infinitely many solutions share the same data.
Determination of the solutions of the Navier-Stokes equations by a set of nodal values.Mathematics of Computation, 43(167):117–133
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A critical note on back-and-forth Data Assimilation Nudging Algorithm
BFN cannot uniquely recover initial conditions from sparse observations in dissipative systems like Lorenz 1963 and Burgers equation, as infinitely many solutions share the same data.