We introduce a numerical method for extracting minimal geodesics along the group of volume preserving maps, equipped with the L metric, which as observed by Arnold [Arn66] solve the Euler equations of inviscid incompressible uids. The method relies on the generalized polar decomposition of Brenier [Bre91], numerically implemented through semi-discrete optimal transport. It is robust enough to e...

In this paper, we shall introduce the new notion namely, I -λ statistical convergence by using ideal with respect to the intuitionistic fuzzy norm (μ,v)2. We also study the relation between I -λ statistical convergence and I -statistical convergence. subjclass[2000] 40A05; 40B50; 46A19; 46A45.

The generalized Stokes problem, which arises frequently in the simulation of timedependent Navier–Stokes equations for incompressible fluid flow, gives rise to symmetric linear systems of equations. These systems are indefinite due to a set of linear constraints on the velocity, causing difficulty for most preconditioners and iterative methods. This paper presents a novel method to obtain a pre...

Motivated by the advantages achieved by implicit analogue net for solving online linear equations, a novel implicit neural model is designed based on conventional explicit gradient neural networks in this letter by introducing a positive-definite mass matrix. In addition to taking the advantages of the implicit neural dynamics, the proposed implicit gradient neural networks can still achieve gl...

In a previous paper, we presented a meaning based information theory in which the core concept is an informalogical space. We introduced the concepts of an information net in an informalogical space, a piece of limit information of an information net, a separated informalogical space and a first countable informalogical space. We built a convergence theory of information nets and applied the co...

In this paper, we shall define and study the concept of  -statistical convergence and  -statistical Cauchy in random 2-normed space. We also introduce the concept of  -statistical completeness which would provide a more general frame work to study the completeness in random 2-normed space. Furthermore, we also prove some new results.

we develop a theory of stratified $lm$-filters which generalizes the theory of stratified $l$-filters. our stratification condition explicitly depends on a suitable mapping between the lattices $l$ and $m$. if $l$ and $m$ are identical and the mapping is the identity mapping, then we obtain the theory of stratified $l$-filters. based on the stratified $lm$-filters, a general theory of lattice-v...

In this paper, we deal with the problem for finding a common element of finite sets in a Banach space. We first prove that an operator given by a convex combination of sunny generalized nonexpansive retractions in a Banach space is asymptotically regular. Using this result, we obtain a weak convergence theorem which is connected with the problem of image recovery. Further, using another weak co...