SPLIT

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CONVERGENCE AND STABILITY OF THE SPLIT-STEP THETA METHOD FOR A CLASS OF STOCHASTIC VOLTERRA INTEGRO-DIFFERENTIAL EQUATIONS DRIVEN BY LEVY NOISE
《Journal of Computational Mathematics》2024年第6期1688-1713,共26页Wei Zhang 
supported by the Natural Science Foundation of Heilongjiang Province(Grant No.LH2022A020).
In this paper,we investigate the theoretical and numerical analysis of the stochastic Volterra integro-differential equations(SVIDEs)driven by L´evy noise.The existence,uniqueness,boundedness and mean square exponent...
关键词：Stochastic Volterra integro-differential equations Existence and uniqueness Stability Split-step theta method Convergence 
MODIFIED SPLIT-STEP THETA METHOD FOR STOCHASTIC DIFFERENTIAL EQUATIONS DRIVEN BY FRACTIONAL BROWNIAN MOTION
《Journal of Computational Mathematics》2024年第5期1226-1245,共20页Jingjun Zhao Hao Zhou Yang Xu 
supported by the National Natural Science Foundation of China(Project No.12071100);Funds for the Central Universities(Project No.2022FRFK060019).
For solving the stochastic differential equations driven by fractional Brownian motion,we present the modified split-step theta method by combining truncated Euler-Maruyama method with split-step theta method.For the ...
关键词：Stochastic differential equation Fractional Brownian motion Split-step theta method Strong convergence Exponential stability 
Discrete Boltzmann model with split collision for nonequilibrium reactive flows
《Communications in Theoretical Physics》2024年第8期164-186,共23页Chuandong Lin Kai H Luo Huilin Lai 
supported by the National Natural Science Foundation of China(under Grant Nos. U2242214, 51806116 and 91441120);the Guangdong Basic and Applied Basic Research Foundation (under Grant Nos. 2022A1515012116and 2024A1515010927);the Natural Science Foundation of Fujian Province(under Grant Nos. 2021J01652, 2021J01655);the China Scholarship Council (No. 202306380288);partly supported by the Open Research Fund of Key Laboratory of Analytical Mathematics and Applications(Fujian Normal University),Ministry of Education,China;Support from the UK Engineering and Physical Sciences Research Council under the project ‘UK Consortium on Mesoscale Engineering Sciences (UKCOMES)’(Grant No. EP/X035875/1) is gratefully acknowledged。
A multi-relaxation-time discrete Boltzmann model(DBM) with split collision is proposed for both subsonic and supersonic compressible reacting flows, where chemical reactions take place among various components. The ph...
关键词：discrete Boltzmann method reactive flow DETONATION nonequilibrium effect 
Controllable split polarization singularities for ultra-precise displacement sensing
《Photonics Research》2024年第7期1478-1484,共7页JIAKANG ZHOU HAIXIANG MA SHUOSHUO ZHANG WU YUAN CHANGJUN MIN XIAOCONG YUAN YUQUAN ZHANG 
Guangdong Major Project of Basic and Applied Basic Research (2020B0301030009);National Natural Science Foundation of China (62375177,62175157, 12304330, 92250304, 92150301);Shenzhen Science and Technology Program (JCYJ20210324120403011,RCJC20210609103232046);Shenzhen Peacock Plan(KQTD20170330110444030);China Postdoctoral Science Foundation (2022M722906);Natural Science Foundation of Zhejiang Province (LQ24F050014)。
The topic of optical precise displacement measurement has garnered significant attention and generated widespread interest recently. The use of optical singularity offers a potential solution for this purpose, althoug...
关键词：POLARIZATION DISPLACEMENT PRECISE 
Split-Tetraquaternion Algebra and Applications
《Journal of Applied Mathematics and Physics》2024年第7期2682-2690,共9页Grégoire Lutanda Panga 
In this paper, from the spacetime algebra associated with the Minkowski space ℝ3,1by means of a change of signature, we describe a quaternionic representation of the split-tetraquaternion algebra which incorporates th...
关键词：Tetraquaternion Algebra Split-Tetraquaternion Algebra Split Quaternion Algebra Clifford Algebra 
Relaxed Inertial Method for Solving Split Monotone Variational Inclusion Problem with Multiple Output Sets Without Co-coerciveness and Lipschitz Continuity
《Acta Mathematica Sinica,English Series》2024年第7期1697-1726,共30页Timilehin Opeyemi Alakoya Oluwatosin Temitope Mewomo 
Supported by National Research Foundation(NRF)of South Africa Incentive Funding for Rated Researchers(Grant No.119903)。
In this paper,we study the concept of split monotone variational inclusion problem with multiple output sets.We propose a new relaxed inertial iterative method with self-adaptive step sizes for approximating the solut...
关键词：Split inverse problems non-Lipschitz operators inertial technique self-adaptive step sizes 
Split Lohmann computer holography: fast generation of 3D hologram in single-step diffraction calculation
《Advanced Photonics Nexus》2024年第3期1-13,共13页Chenliang Chang Xian Ding Di Wang Zhizhou Ren Bo Dai Qi Wang Songlin Zhuang Dawei Zhang 
supported by the National Special Fund for the Development of Major Research Equipment and Instrument(Grant No.2020YFF01014503);the ShanghaiMunicipal Science and Technology Major Project(Grant No.22ZR1473100);the Youth Innovation Promotion Association,Chinese Academy of Sciences(Grant No.2022232);and the National Key Research and Development Program of China(Grant No.2022YFB2804602).
Holographic display stands as a prominent approach for achieving lifelike three-dimensional(3D)reproductions with continuous depth sensation.However,the generation of a computer-generated hologram(CGH)always relies on...
关键词：computer holography holographic display diffraction calculation. 
An Experimental Analysis of Gas-Liquid Flow Breakdown in a T-Junction
《Fluid Dynamics & Materials Processing》2024年第6期1381-1392,共12页Lihui Ma Zhuo Han Wei Li Guangfeng Qi Ran Cheng Yuanyuan Wang Xiangran Mi Xiaohan Zhang Yunfei Li 
supported by the Research Project of the Technical Inspection Center of Sinopec Shengli Oilfield Company.
When a gas-liquid two-phase flow(GLTPF)enters a parallel separator through a T-junction,it generally splits unevenly.This phenomenon can seriously affect the operation efficiency and safety of the equipment located do...
关键词：Two-phase flow T-JUNCTION split model entrance effect mechanism model improved model 
A Converse Theorem for Split SO_(2l) over Finite Fields
《Acta Mathematica Sinica,English Series》2024年第3期731-771,共41页Alexander HAZELTINE Bai Ying LIU 
partially supported by the NSF Grants DMS-1848058;partially supported by the NSF Grants DMS-1702218, DMS-1848058;start-up funds from the Department of Mathematics at Purdue University.
We prove a converse theorem for split even special orthogonal groups over finite fields.This is the only case left on converse theorems of classical groups and the difficulty is the existence of the outer automorphism...
关键词：Converse theorems generic cuspidal representations even special orthogonal groups 
Intensity correlation properties of x-ray beams split with Laue diffraction
《Chinese Physics B》2024年第1期379-383,共5页赵昌哲 司尚禹 张海鹏 薛莲 李中亮 肖体乔 
Project supported by the National Key Research and Development Program of China (Grant Nos.2022YFF0709103,2022YFA1603601,2021YFF0601203,and 2021YFA1600703);the National Natural Science Foundation of China (Grant No.81430087);the Shanghai Pilot Program for Basic Research-Chinese Academy of Sciences,Shanghai Branch (Grant No.JCYJ-SHFY-2021-010)。
Beam splitting is one of the main approaches to achieving x-ray ghost imaging, and the intensity correlation between diffraction beam and transmission beam will directly affect the imaging quality. In this paper, we i...
关键词：x-ray ghost imaging beam splitting with Laue diffraction intensity correlation dynamical theory of x-ray diffraction 
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