A. Carasso

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math.NA2025

Data assimilation in 2D nonlinear coupled sound and heat flow, using a stabilized explicit finite difference scheme marched backward in time

Alfred S. Carasso

This paper considers the ill-posed data assimilation problem associated with hyperbolic/parabolic systems describing 2D coupled sound and heat flow. Given hypothetical data at time…

math.NA2024

Data assimilation in 2D incompressible Navier-Stokes equations, using a stabilized explicit $O (I^ t)^{2}$ leapfrog finite difference scheme run backward in time

Alfred S. Carasso

For the 2D incompressible Navier-Stokes equations, with given hypothetical non smooth data at time $T > 0$ that may not correspond to an actual solution at time $T$ , a previously d…

Data assimilation in 2D nonlinear coupled sound and heat flow, using a stabilized explicit finite difference scheme marched backward in time

Data assimilation in 2D incompressible Navier-Stokes equations, using a stabilized explicit O(I^t)2 leapfrog finite difference scheme run backward in time

Data assimilation in 2D incompressible Navier-Stokes equations, using a stabilized explicit $O (I^ t)^{2}$ leapfrog finite difference scheme run backward in time