3 papers
physics.ins-det2025
Linnik point spread functions, time-reversed logarithmic diffusion equations, and blind deconvolution of electron microscope imagery
Alfred S. Carasso, Andras E. Vladar
A non iterative direct blind deconvolution procedure, previously used successfully to sharpen Hubble Space Telescope imagery, is now found useful in sharpening nanoscale scanning e…
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 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 that may not correspond to an actual solution at time , a previously d…