A finite point algorithm for soil water-salt movement equation

Abstract

In this paper, we propose the meshless finite point method for solving a type of fluid flow problem. The moving least square function is combined with the collocation method to treat nonlinear one- and two-dimensional soil water-salt movement equations. An adaptive windward scheme is used to stabilize the numerical solution in regions with a large gradient change. Numerical examples with the comparison among the proposed method, finite element method and characteristic finite element method show that the meshless finite point method is more accurate and is used to eliminate the numerical oscillation phenomenon.

Fixed-point iterative linear inverse solver with extended precision

“…We envision that an array of low-precision, analog matrix processing cores can supersede the current FPGA systolic array in solving numerous large-scale, high-performance computing applications, including but not limited to convex optimizations, solving differential equations, and training of artificial neural networks. Certain nonlinear problems 40,41 could also be incorporated into our iterative solver framework in conjunction with digital co-processing to calculate the local gradient on host PC.…”