We propose a novel, lossless compression algorithm, based on the 2D Discrete Fast Fourier Transform, to approximate the Algorithmic (Kolmogorov) Complexity of Elementary Cellular Automata. Fast Fourier transforms are ...
supported in part by the National Key Basic Research and Development Program of China(No.2017YFE0132100);the Tsinghua-Toyota Research Fund(No.20203910016);the BNRist Program(No.BNR2020TD01009)。
Electrical power network analysis and computation play an important role in the planning and operation of the power grid,and they are modeled mathematically as differential equations and network algebraic equations.Th...
support for this research under the number(3871-cos-2018-1-14-S)during the academic year 2018。
We explain and prove some lemmas of the approximate coupling and we give some details of the Matlab implementation of this method.A particular invertible SDEs is used to show the convergence result for this method for...
Fractional differential equations are widely used in many fields. In this paper, we discussed the fractional differential equation and the applications of Adomian decomposition method. Where the fractional operator is...
The authors thank the editor and anonymous reviewers for their constructive comments on the manuscript.The research of the authors was supported by the Natural Science Foundation of Jiangsu Province(No.BK20150795);the Fundamental Research Funds for the Central Universities(No.2018B16714);the National Natural Science Foundation of China(Nos.11702083,51679150,51579153,51739008,51527811);the State Key Laboratory of Mechanics and Control of Mechanical Structures(Nanjing University of Aeronautics and Astronautics)(No.MCMS-0218G01);the National Key R&D Program of China(No.2016YFC0401902);the Fund Project of NHRI(Nos.Y417002,Y417015).
The aim of this paper is to propose a fast meshless numerical scheme for the simulation of non-linear Schrodinger equations.In the proposed scheme,the implicit-Euler scheme is used for the temporal discretization and ...
This paper is devoted to implementing the Legendre spectral collocation method to introduce numerical solutions of a certain class of fractional variational problems (FVPs). The properties of the Legendre polynomials ...
Project supported by the National Natural Science Foundation of China(Grant No.61173143);the Special Public Sector Research Program of China(Grant No.GYHY201206030);the Deanship of Scientific Research at King Saud University for funding this work through research group No.RGP-VPP-264
In recent years, the nearest neighbor search (NNS) problem has been widely used in various interesting applications. Locality-sensitive hashing (LSH), a popular algorithm for the approximate nearest neighbor probl...
Supported by the National Natural Science Foundation of China under Grant No 61007047;the Project of Development Program for National Defense Technology under Grant No 2011BAK03B07-3.
An approximate collision-radiative method is developed to calculate energy level populations of atoms and applied to simulate radiative transfer in a shock layer.Considering nonequilibrium plasmas with the electronic ...
the National Natural Science Foundation of China(No.10472061);the Ph.D.Programs Foundation of Ministry of Education of China(No.20060280015)
In the paper we discuss some properties of the state operators of the optimal obstacle control problem for elliptic variational inequality.Existence,uniqueness and regularity of the optimal control,problem are establi...
National Natural Science foundation of China,Grant number 59895410
The performance of structures with active variable stiffness (AVS) systems exhibits strong nonlinearity due to the variety with time of the stiffness of each storey unit,in which the AVS system is installed.Hence,the ...