We demonstrate the reconstruction of images obtained by multifocal structured illumination microscopy, MSIM, using a joint Richardson–Lucy, jRL-MSIM, deconvolution algorithm, which is based on an underlying widefield image-formation model. The method is efficient in the suppression of out-of-focus light and greatly improves image contrast and resolution. Furthermore, it is particularly well sui...

In this paper, we have modeled the Kelvin-Helmholtz Instability (KHI) problem of an incompressible two-phase immiscible fluid in a stratified inviscid shear flow with interfacial tension using Smoothed Particle Hydrodynamics (SPH) method. The time dependent evolution of the two-fluid interface over a wide range of Richardson number (Ri) and for three different density ratios is numerically inve...

Bundy and Richardson [7] presented a technique for reasoning about lists using ellipsis (the dots in 1+2+ . . .+10), where a polymorphic function, denoted by 2, is used to encapsulate recursive definitions of list functions and a portrayal system using ellipsis gives an informal proof. We highlight certain limitations of this technique and address these limitations using the recently developed ...

In this paper, using the framework of extrapolation, we present an approach for obtaining higher-order τ-leap methods for the Monte Carlo simulation of stochastic chemical kinetics. Specifically, Richardson extrapolation is applied to the expectations of functionals obtained by a fixed-step τ-leap algorithm. We prove that this procedure gives rise to second-order approximations for the first tw...