A stabilized backward-marched explicit finite difference scheme can recover plausible initial data from final-time images in a nonlinear coupled sound and heat flow model, but only for short time horizons.
Data assimilation in 2D incompressible Navi er-Stokes equations, using a stabilized explicit O(∆ t)2 leapfrog finite difference scheme run backward in time
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Data assimilation in 2D nonlinear coupled sound and heat flow, using a stabilized explicit finite difference scheme marched backward in time
A stabilized backward-marched explicit finite difference scheme can recover plausible initial data from final-time images in a nonlinear coupled sound and heat flow model, but only for short time horizons.