Convergence of iterative sequences for fixed point and variational inclusion problems.
Some remarks on the Akivis algebras and the Pre-Lie algebras
In this paper, by using the Composition-Diamond lemma for non-associative algebras invented by A. I. Shirshov in 1962, we give Gröbner-Shirshov bases for free Pre-Lie algebras and the universal enveloping non-associative algebra of an Akivis algebra, respectively. As applications, we show I. P. Shestakov’s result that any Akivis algebra is linear and D. Segal’s result that the set of all good words in forms a linear basis of the free Pre-Lie algebra generated by the set . For completeness,...
A Theorem on Directed Quasi-Ordered Sets and Some Remarks
Iterative algorithm for a convex feasibility problem.
A multilevel Newton's method for eigenvalue problems
We propose a new type of multilevel method for solving eigenvalue problems based on Newton's method. With the proposed iteration method, solving an eigenvalue problem on the finest finite element space is replaced by solving a small scale eigenvalue problem in a coarse space and a sequence of augmented linear problems, derived by Newton step in the corresponding sequence of finite element spaces. This iteration scheme improves overall efficiency of the finite element method for solving eigenvalue...
On the convergence for an iterative method for quasivariational inclusions.
On the diophantine equation
A parallel method for population balance equations based on the method of characteristics
In this paper, we present a parallel scheme to solve the population balance equations based on the method of characteristics and the finite element discretization. The application of the method of characteristics transform the higher dimensional population balance equation into a series of lower dimensional convection-diffusion-reaction equations which can be solved in a parallel way. Some numerical results are presented to show the accuracy and efficiency.
Erdős-Ko-Rado-type theorems for colored sets.
Stability of a two-strain tuberculosis model with general contact rate.
Disturbance observer based integral terminal sliding mode control for permanent magnet synchronous motor system
This paper presents speed regulation issue of Permanent Magnet Synchronous Motor (PMSM) using a composite integral terminal sliding mode control scheme via a disturbance compensation technique. The PMSM -axis and -axis subsystems are firstly transformed into two linear subsystems by using feedback linearization technique, then, integral terminal sliding mode controller and finite-time controller are designed respectively. The proof of finite time stability are given for the PMSM closed-loop system....
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