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1

Evans, D. J., Wang Deren, and Bai Zhongzhi. "Matrix multi-splitting multi-parameter relaxation methods." International Journal of Computer Mathematics 43, no. 3-4 (1992): 173–88. http://dx.doi.org/10.1080/00207169208804084.

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2

Duan, Qibin, and Dirk P. Kroese. "Splitting for Multi-objective Optimization." Methodology and Computing in Applied Probability 20, no. 2 (2017): 517–33. http://dx.doi.org/10.1007/s11009-017-9572-5.

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3

Evans, D. J., and Zhong-Zhi Bai. "Blockwise matrix multi-splitting multi-parameter block relaxation methods*." International Journal of Computer Mathematics 64, no. 1-2 (1997): 103–18. http://dx.doi.org/10.1080/00207169708804578.

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4

Lin, J., W. Yu, and G. C. Temes. "Multi-step capacitor-splitting SAR ADC." Electronics Letters 46, no. 21 (2010): 1426. http://dx.doi.org/10.1049/el.2010.1713.

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5

Xinmin, Wang, and D. J. Evans. "Convergence of the matrix multi-splitting multi-parameter relaxation methods." International Journal of Computer Mathematics 55, no. 3-4 (1995): 253–62. http://dx.doi.org/10.1080/00207169508804380.

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6

Li, Shu-Wen, Min Jiang, Frank Jiang, and Xiao-Ping Chen. "Multi-qudit information splitting with multiple controllers." Quantum Information Processing 13, no. 5 (2013): 1057–66. http://dx.doi.org/10.1007/s11128-013-0711-9.

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7

Wang, Liping, and Wenhui Fan. "A multi-level splitting algorithm based on differential evolution." International Journal of Modeling, Simulation, and Scientific Computing 09, no. 02 (2018): 1850021. http://dx.doi.org/10.1142/s1793962318500216.

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Multi-level splitting algorithm is a famous rare event simulation (RES) method which reaches rare set through splitting samples during simulation. Since choosing sample paths is a key factor of the method, this paper embeds differential evolution in multi-level splitting mechanism to improve the sampling strategy and precision, so as to improve the algorithm efficiency. Examples of rare event probability estimation demonstrate that the new proposed algorithm performs well in convergence rate and precision for a set of benchmark cases.
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8

Liu, Zhiyong. "Proximal Operator Splitting for Multi-Constraint Dictionary Learning." International Journal of Hybrid Information Technology 10, no. 2 (2017): 107–16. http://dx.doi.org/10.14257/ijhit.2017.10.2.11.

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9

Chin, Siu A. "Multi-product splitting and Runge-Kutta-Nyström integrators." Celestial Mechanics and Dynamical Astronomy 106, no. 4 (2010): 391–406. http://dx.doi.org/10.1007/s10569-010-9255-9.

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10

Pu, Bing-Yuan, Chun Wen, and Qian-Ying Hu. "A multi-power and multi-splitting inner-outer iteration for PageRank computation." Open Mathematics 18, no. 1 (2020): 1709–18. http://dx.doi.org/10.1515/math-2020-0120.

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Abstract As an effective and possible method for computing PageRank problem, the inner-outer (IO) iteration has attracted wide interest in the past few years since it was first proposed by Gleich et al. (2010). In this paper, we present a variant of the IO iteration, which is based on multi-step power and multi-step splitting and is denoted by MPMIO. The description and convergence are discussed in detail. Numerical examples are given to illustrate the effectiveness of the proposed method.
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11

Tan, Yong, Gui Xiong Liu, and Guo Guang Wu. "Cardinality Estimation-Based Adaptive Multi-Tree Splitting Algorithm for RFID System." Applied Mechanics and Materials 239-240 (December 2012): 1373–76. http://dx.doi.org/10.4028/www.scientific.net/amm.239-240.1373.

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This paper proposes a cardinality estimation-based adaptive multi-tree splitting (CEAMS) algorithm. Tag number is estimated by using the depth information obtained from the first tag identification and adaptively assigns the splitting strategy according to the splitting subset rule table. Simulation results show that the average total number of timeslots can be reduced by 65% compared with DBS and the system throughput is about 0.52 when the number of tags ranged from 5 ~ 1000.
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12

FAN, XIAOCONG, and MENG SU. "MULTI-AGENT DIFFUSION OF DECISION EXPERIENCES." International Journal on Artificial Intelligence Tools 22, no. 05 (2013): 1360001. http://dx.doi.org/10.1142/s0218213013600014.

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Diffusion geometry offers a fresh perspective on multi-scale information analysis, which is critical to multiagent systems that need to process massive data sets. A recent study has shown that when the "diffusion distance" concept is applied to human decision experiences, its performance on solution synthesis can be significantly better than using Euclidean distance. However, as a data set expands over time, it can quickly exceed the processing capacity of a single agent. In this paper, we proposed a multi-agent diffusion approach where a massive data set is split into several subsets and each
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13

Gan, Linhai, та Gang Wang. "Tracking Split Group with δ-Generalized Labeled Multi-Bernoulli Filter". Journal of Sensors 2019 (19 травня 2019): 1–12. http://dx.doi.org/10.1155/2019/9278725.

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As target splitting is not considered in the initial development of δ-generalized labeled multi-Bernoulli (δ-GLMB) filter, the scenarios where the new targets appearing conditioned on the preexisting one are not readily addressed by this filter. In view of this, we model the group target as gamma Gaussian inverse Wishart (GGIW) distribution and derive a δ-GLMB filter based on the group splitting model, in which the target splitting event is investigated. Two simplifications of the approach are presented to improve the computing efficiency, where with splitting detection, we need not to predict
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14

Zhu, Huajun, Songhe Song, and Yaming Chen. "Multi-Symplectic Wavelet Collocation Method for Maxwell’s Equations." Advances in Applied Mathematics and Mechanics 3, no. 6 (2011): 663–88. http://dx.doi.org/10.4208/aamm.11-m1183.

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AbstractIn this paper, we develop a multi-symplectic wavelet collocation method for three-dimensional (3-D) Maxwell’s equations. For the multi-symplectic formulation of the equations, wavelet collocation method based on autocorrelation functions is applied for spatial discretization and appropriate symplectic scheme is employed for time integration. Theoretical analysis shows that the proposed method is multi-symplectic, unconditionally stable and energy-preserving under periodic boundary conditions. The numerical dispersion relation is investigated. Combined with splitting scheme, an explicit
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15

Huang, Rong-Hwa. "Multi-objective job-shop scheduling with lot-splitting production." International Journal of Production Economics 124, no. 1 (2010): 206–13. http://dx.doi.org/10.1016/j.ijpe.2009.10.026.

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16

Konnov, Igor V. "A splitting type algorithm for multi-valued complementarity problems." Optimization Letters 3, no. 4 (2009): 573–82. http://dx.doi.org/10.1007/s11590-009-0136-7.

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17

Li, Zida, Luoquan Li, Meixiang Liao, Liqun He, and Ping Wu. "Multiple splitting of droplets using multi-furcating microfluidic channels." Biomicrofluidics 13, no. 2 (2019): 024112. http://dx.doi.org/10.1063/1.5086716.

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18

Niu, Yang-Yao. "SIMPLE CONSERVATIVE FLUX SPLITTING FOR MULTI-COMPONENT FLOW CALCULATIONS." Numerical Heat Transfer, Part B: Fundamentals 38, no. 2 (2000): 203–22. http://dx.doi.org/10.1080/104077900750034670.

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19

Zeng, Chao. "Plasmonic spectral splitting in multi-resonator-coupled waveguide systems." Applied Optics 53, no. 1 (2013): 38. http://dx.doi.org/10.1364/ao.53.000038.

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20

Sumliner, Jordan M., Hongjin Lv, John Fielden, Yurii V. Geletii, and Craig L. Hill. "Polyoxometalate Multi-Electron-Transfer Catalytic Systems for Water Splitting." European Journal of Inorganic Chemistry 2014, no. 4 (2014): 635–44. http://dx.doi.org/10.1002/ejic.201301573.

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21

Kim, S. G., K. H. Kim, H. S. Jung, H. Cho, and E. M. Choi. "Frequency splitting of a multi-layered electric ring resonator." Journal of Applied Physics 110, no. 1 (2011): 013105. http://dx.doi.org/10.1063/1.3605493.

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22

Zhang, Qun-Yong, and You-Bang Zhan. "Quantum Information Splitting by Using Asymmetric Multi-particle State." International Journal of Theoretical Physics 51, no. 10 (2012): 3037–44. http://dx.doi.org/10.1007/s10773-012-1186-7.

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23

Yserentant, Harry. "On the multi-level splitting of finite element spaces." Numerische Mathematik 49, no. 4 (1986): 379–412. http://dx.doi.org/10.1007/bf01389538.

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24

Yserentant, Harry. "On the multi-level splitting of finite element spaces." Numerische Mathematik 50, no. 1 (1986): 123. http://dx.doi.org/10.1007/bf01389672.

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25

Gu, Chuanqing, Xianglong Jiang, Ying Nie, and Zhibing Chen. "A preprocessed multi-step splitting iteration for computing PageRank." Applied Mathematics and Computation 338 (December 2018): 87–100. http://dx.doi.org/10.1016/j.amc.2018.05.033.

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26

Lemström, Kjell, and Veli Mäkinen. "On minimizing pattern splitting in multi-track string matching." Journal of Discrete Algorithms 3, no. 2-4 (2005): 248–66. http://dx.doi.org/10.1016/j.jda.2004.08.008.

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27

Gu, Chuanqing, and Lei Wang. "On the multi-splitting iteration method for computing PageRank." Journal of Applied Mathematics and Computing 42, no. 1-2 (2013): 479–90. http://dx.doi.org/10.1007/s12190-013-0645-5.

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28

Liang, Ning Hui, Xin Rong Liu, and Ji Sun. "Experimental Study of Splitting Tensile for Multi-Scale Polypropylene Fiber Concrete." Advanced Materials Research 450-451 (January 2012): 168–73. http://dx.doi.org/10.4028/www.scientific.net/amr.450-451.168.

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Through splitting tensile tests on 30 plain concrete and polypropylene fiber concrete specimens with the dimensions of 100mm × 100mm × 100mm , studied the influence of the different scales of polypropylene fiber and hybrid fiber on concrete splitting tensile strength and splitting tensile deformation. The results showed that: the splitting tensile strength of concrete for single-doped fine fiber had increased 7%~31%,for single-doped coarse fiber had increased 7%~39%,and mixing-doped coarse-fine fiber had increased 2%~50%. Doped-fiber can improve the concrete splitting tensile toughness, it's e
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29

Lee, Hyun Geun, Jaemin Shin, and June-Yub Lee. "A High-Order Convex Splitting Method for a Non-Additive Cahn–Hilliard Energy Functional." Mathematics 7, no. 12 (2019): 1242. http://dx.doi.org/10.3390/math7121242.

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Various Cahn–Hilliard (CH) energy functionals have been introduced to model phase separation in multi-component system. Mathematically consistent models have highly nonlinear terms linked together, thus it is not well-known how to split this type of energy. In this paper, we propose a new convex splitting and a constrained Convex Splitting (cCS) scheme based on the splitting. We show analytically that the cCS scheme is mass conserving and satisfies the partition of unity constraint at the next time level. It is uniquely solvable and energy stable. Furthermore, we combine the convex splitting w
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30

Zhou, Zhongguo, and Dong Liang. "The Mass-Preserving S-DDM Scheme for Two-Dimensional Parabolic Equations." Communications in Computational Physics 19, no. 2 (2016): 411–41. http://dx.doi.org/10.4208/cicp.070814.190615a.

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AbstractIn the paper, we develop and analyze a new mass-preserving splitting domain decomposition method over multiple sub-domains for solving parabolic equations. The domain is divided into non-overlapping multi-bock sub-domains. On the interfaces of sub-domains, the interface fluxes are computed by the semi-implicit (explicit) flux scheme. The solutions and fluxes in the interiors of sub-domains are computed by the splitting one-dimensional implicit solution-flux coupled scheme. The important feature is that the proposed scheme is mass conservative over multiple non-overlapping sub-domains.
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31

Ding, Fei, Zitong Ma, Zhiliang Li, Ruoyu Su, Dengyin Zhang, and Hongbo Zhu. "A Terminal-Oriented Distributed Traffic Flow Splitting Strategy for Multi-Service of V2X Networks." Electronics 8, no. 6 (2019): 644. http://dx.doi.org/10.3390/electronics8060644.

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With the development and the characteristics of terminal services of the 5G (5th-Generation network) Internet of Vehicles (IoVs), this paper proposes a distributed splitting strategy for multi-type services of 5G V2X (Vehicle to X) networks. Based on a service-oriented adaptive splitting strategy in heterogeneous networks, combined with various service types such as communications between the networks, terminal, and base stations, and the value-added services of 5G IoVs, the proposed strategy jointly considers delay and cost as optimization goals. By analyzing the characteristics of the differ
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32

Marshall, Donna A., J. M. Spiers, K. J. Curry, and S. J. Stringer. "LABORATORY METHOD TO ESTIMATE INCIDENCE OF FRUIT SPLITTING IN CULTIVATED BLUEBERRY." HortScience 41, no. 3 (2006): 511B—511. http://dx.doi.org/10.21273/hortsci.41.3.511b.

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Fruit splitting takes place in rabbiteye and southern highbush blueberries when a preharvest rainfall occurs and when fruit are fully ripe or approaching full ripeness. This study was initiated to develop a laboratory method to identify the rain-related incidence of splitting in cultivated blueberries. Multi-year field surveys of select rabbiteye and southern highbush cultivars show that the incidence of rain-related splitting is strongly cultivar dependent. Year to year variations within cultivars reflected yearly differences in ripening times and amounts and timing of rainfall. Laboratory va
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33

Zhang, Lei, Zhuo Lin Li, and Zhi Ying Liu. "Error Analysis of Optical Alignment Based on Multi-Beam Splitting." Key Engineering Materials 552 (May 2013): 329–35. http://dx.doi.org/10.4028/www.scientific.net/kem.552.329.

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Beam splitter is widely applied in many optical systems. The beam splitter is generally composed of many reflective mirrors and beam splitting prisms. The optical components can not reach the theoretical design state during assemble process. It must be solved through optical alignment. The mathematics model of alignment and error analysis for beam splitter are built in this paper. The effect of optical alignment error of beam splitter on optical system could be analyzed with this mathematical model. At the mean time, the mechanical alignment of beam splitter is directed to fast alignment in pr
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34

Chen, Yaming, Songhe Song, and Huajun Zhu. "Explicit Multi-Symplectic Splitting Methods for the Nonlinear Dirac Equation." Advances in Applied Mathematics and Mechanics 6, no. 4 (2014): 494–514. http://dx.doi.org/10.4208/aamm.2013.m278.

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AbstractIn this paper, we propose two new explicit multi-symplectic splitting methods for the nonlinear Dirac (NLD) equation. Based on its multi-symplectic formulation, the NLD equation is split into one linear multi-symplectic system and one nonlinear infinite Hamiltonian system. Then multi-symplectic Fourier pseudospectral method and multi-symplectic Preissmann scheme are employed to discretize the linear subproblem, respectively. And the nonlinear subsystem is solved by a symplectic scheme. Finally, a composition method is applied to obtain the final schemes for the NLD equation. We find th
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35

Piper, J. "Qualitätsoptimierung lichtmikroskopischer Digitalfotos durch RGB-Splitting und Multi-Shot-Techniken." Mikroskopie 1, no. 07 (2014): 149–57. http://dx.doi.org/10.5414/mkx0025.

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36

Vilanova, António, Tânia Lopes, and Adélio Mendes. "Large-area photoelectrochemical water splitting using a multi-photoelectrode approach." Journal of Power Sources 398 (September 2018): 224–32. http://dx.doi.org/10.1016/j.jpowsour.2018.07.054.

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37

Yalcin, Ahmet Zahid, Melda Yuksel, and Bruno Clerckx. "Rate Splitting for Multi-Group Multicasting With a Common Message." IEEE Transactions on Vehicular Technology 69, no. 10 (2020): 12281–85. http://dx.doi.org/10.1109/tvt.2020.3006347.

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38

Yudin, A. S., N. S. Kuznetsova, V. V. Lopatin, and N. V. Voitenko. "Multi-borehole electro-blast method for concrete monolith splitting off." Journal of Physics: Conference Series 552 (November 12, 2014): 012028. http://dx.doi.org/10.1088/1742-6596/552/1/012028.

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39

Papazafeiropoulos, Anastasios, and Tharmalingam Ratnarajah. "Rate-Splitting Robustness in Multi-Pair Massive MIMO Relay Systems." IEEE Transactions on Wireless Communications 17, no. 8 (2018): 5623–36. http://dx.doi.org/10.1109/twc.2018.2847668.

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40

LIU, M., L. H. WEN, L. SHE, A. X. CHEN, H. W. XIONG, and M. S. ZHAN. "SPLITTING AND TRAPPING OF BOSE-CONDENSED GASES IN MULTI-WELLS." Modern Physics Letters B 19, no. 06 (2005): 303–12. http://dx.doi.org/10.1142/s0217984905008244.

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For the Bose-condensed gas in a one-dimensional optical lattice, several far-off resonant laser beams are used to split and trap the matter wavepacket after switching off both the magnetic trap and optical lattices. In the presence of two far-off resonant laser beams which are not symmetric about the centre of the matter wavepacket, we propose an experimental scheme to observe the collision between two side peaks after switching off the magnetic trap and optical lattice. We also discuss an experimental scheme to realize a coherent splitting and trapping of the matter wavepacket which has poten
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41

Chen, Ya-Ming, Hua-Jun Zhu, and Song-He Song. "Multi-Symplectic Splitting Method for Two-Dimensional Nonlinear Schrödinger Equation." Communications in Theoretical Physics 56, no. 4 (2011): 617–22. http://dx.doi.org/10.1088/0253-6102/56/4/03.

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42

Toor, Waqas Tariq, Jun-Bae Seo, and Hu Jin. "Practical Splitting Algorithm for Multi-Channel Slotted Random Access Systems." IEEE Transactions on Mobile Computing 19, no. 12 (2020): 2863–73. http://dx.doi.org/10.1109/tmc.2019.2935970.

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43

Liu, Dongdong, Wen Li, and Seak-Weng Vong. "The tensor splitting with application to solve multi-linear systems." Journal of Computational and Applied Mathematics 330 (March 2018): 75–94. http://dx.doi.org/10.1016/j.cam.2017.08.009.

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44

Cui, Lu-Bin, Ming-Hui Li, and Yisheng Song. "Preconditioned tensor splitting iterations method for solving multi-linear systems." Applied Mathematics Letters 96 (October 2019): 89–94. http://dx.doi.org/10.1016/j.aml.2019.04.019.

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45

Li, Wen, Dongdong Liu, and Seak-Weng Vong. "Comparison results for splitting iterations for solving multi-linear systems." Applied Numerical Mathematics 134 (December 2018): 105–21. http://dx.doi.org/10.1016/j.apnum.2018.07.009.

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46

Partimbene, V., T. Garcia, P. Spiteri, P. Marthon, and L. Ratsifandrihana. "Asynchronous multi-splitting method for linear and pseudo-linear problems." Advances in Engineering Software 133 (July 2019): 76–95. http://dx.doi.org/10.1016/j.advengsoft.2019.03.001.

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47

Chen, Yaming, Huajun Zhu, and Songhe Song. "Multi-symplectic splitting method for the coupled nonlinear Schrödinger equation." Computer Physics Communications 181, no. 7 (2010): 1231–41. http://dx.doi.org/10.1016/j.cpc.2010.03.009.

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48

Cao, Axiu, Hui Pang, Man Zhang, Lifang Shi, Qiling Deng, and Song Hu. "Design and Fabrication of an Artificial Compound Eye for Multi-Spectral Imaging." Micromachines 10, no. 3 (2019): 208. http://dx.doi.org/10.3390/mi10030208.

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The artificial compound eye (ACE) structure is a new type of miniaturized, lightweight and intelligent imaging system. This paper has proposed to design a multi-spectral ACE structure to enable the structure to achieve multi-spectral information on the basis of imaging. The sub-eyes in the compound eye structure have been designed as diffractive beam splitting lenses with the same focal length of 20 mm, but with the different designed center wavelengths of 650 nm, 532 nm, and 445 nm, respectively. The proximity exposure lithography and reactive ion etching process were used to prepare the desi
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49

LI, Shengyu, Wenjun XU, Zhihui LIU, Junyi WANG, and Jiaru LIN. "Optimal Power Splitting and Power Allocation in EH-Enabled Multi-Link Multi-Antenna Relay Networks." IEICE Transactions on Communications E100.B, no. 8 (2017): 1480–88. http://dx.doi.org/10.1587/transcom.2016ebp3255.

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50

El-Najdawi, M. K. "A job-splitting heuristic for lot-size scheduling in multi-stage, multi-product production processes." European Journal of Operational Research 75, no. 2 (1994): 365–77. http://dx.doi.org/10.1016/0377-2217(94)90081-7.

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