Using a generalization of the Schensted insertion algorithm to rcgraphs, we provide a Littlewood-Richardson rule for multiplying certain Schubert polynomials by Schur polynomials.

We present a multilevel algorithm to compute steady states of lattice Boltzmann models directly as fixed points of a time-stepper. At the fine scale, we use a Richardson iteration for the fixed point equation, which amounts to time-stepping towards equilibrium. This fine-scale iteration is accelerated by transferring the error to a coarse level. At this coarse level, one directly solves for the...

In recent years, there has been a significant transformation in the field of incoherent imaging with new possibilities compressing three-dimensional (3D) information into two-dimensional intensity distribution without two-beam interference (TBI). Most 3D imagers TBI are based on scattering by random phase mask exhibiting sharp autocorrelation and low cross-correlation along depth. Consequently,...

We introduce a method for constructing a polynomial preconditioner using a nonlinear least squares (NLLS) algorithm. We show that this polynomial-based NLLS-optimized (PBNO) preconditioner significantly improves the performance of 2-D continuous Galerkin (CG) and discontinuous Galerkin (DG) fluid dynamical research models when run in an implicit-explicit time integration mode. When employed in ...

We present a new algorithm, called Multiresolution Regularized Expectation Maximization (MREM), for the reconstruction of γ-ray intensity maps from COMPTEL data. The algorithm is based on the iterative Richardson-Lucy scheme to which we added a wavelet thresholding step in order to eliminate image-noise in the reconstruction. The wavelet thresholding explicitly accounts for spatial correlations...

A Fourier analysis is conducted in two-dimensional (2D) Cartesian geometry for the discreteordinates (SN) approximation of the neutron transport problem solved with Richardson iteration (Source Iteration) and Richardson iteration preconditioned with Transport Synthetic Acceleration (TSA), using the Parallel Block-Jacobi (PBJ) algorithm. The results for the un-accelerated algorithm show that con...

In this work we construct the eigenstates of most general spin-1/2 Richardson-Gaudin model integrable in an external magnetic field. This includes possibility for fully anisotropic XYZ coupling such that $S^x_iS^x_j$, $S^y_iS^y_j$ and $S^z_iS^z_j$ terms all have distinct strengths. While insuring integrability is maintained presence field excludes elliptic which only at zero field, still covers...

We introduce a method for constructing a polynomial preconditioner using a nonlinear least squares (NLLS) algorithm. We show that this polynomial-based NLLS-optimized (PBNO) preconditioner significantly improves the performance of 2-D continuous Galerkin (CG) and discontinuous Galerkin (DG) compressible Euler equation models when run in an implicit-explicit time integration mode. When employed ...

this paper presents results of a numerical study of mixed convection and entropy generation of cu–water nanofluid in a square ventilating cavity at different inclination angles. except a piece of bottom wall with a uniform heat flux, all of the cavity walls are insulated. the inlet port is placed at the bottom of the left wall and the outlet port is positioned at the top of the right wall. entr...