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Статті в журналах з теми "Schéma de Splitting"

Автор: Grafiati

Опубліковано: 30 листопада 2024

Оновлено: 31 липня 2025

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1

Lai, Junjiang, and Zhencheng Fan. "Stability for discrete time waveform relaxation methods based on Euler schemes." AIMS Mathematics 8, no. 10 (2023): 23713–33. http://dx.doi.org/10.3934/math.20231206.

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<abstract><p>Stability properties of discrete time waveform relaxation (DWR) methods based on Euler schemes are analyzed by applying them to two dissipative systems. Some sufficient conditions for stability of the considered methods are obtained; at the same time two examples of instability are given. To investigate the influence of the splitting functions and underlying numerical methods on stability of DWR methods, DWR methods based on different splittings and different numerical schemes are considered. The obtained results show that the stabilities of waveform relaxation methods

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2

Shin, Sang-Mook, In-Chul Kim, and Yong-Jig Kim. "Numerical Simulation of Free Surface Flows Using the Roe's Flux-difference Splitting Scheme." Journal of the Society of Naval Architects of Korea 47, no. 1 (2010): 11–19. http://dx.doi.org/10.3744/snak.2010.47.1.011.

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3

Liou, Meng-Sing, and Christopher J. Steffen. "A New Flux Splitting Scheme." Journal of Computational Physics 107, no. 1 (1993): 23–39. http://dx.doi.org/10.1006/jcph.1993.1122.

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4

Lai, J. S., G. F. Lin, and W. D. Guo. "Simulation of Hydraulic Shock Waves by Hybrid Flux-Splitting Schemes in Finite Volume Method." Journal of Mechanics 21, no. 2 (2005): 85–101. http://dx.doi.org/10.1017/s1727719100004561.

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AbstractIn the framework of the finite volume method, a robust and easily implemented hybrid flux-splitting finite-volume (HFF) scheme is proposed for simulating hydraulic shock waves in shallow water flows. The hybrid flux-splitting algorithm without Jacobian matrix operation is established by applying the advection upstream splitting method to estimate the cell-interface fluxes. The scheme is extended to be second-order accurate in space and time using the predictor-corrector approach with monotonic upstream scheme for conservation laws. The proposed HFF scheme and its second-order extension

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5

Tang, Yuru, Chen Chen, Min Liu, Pengfei Du, and H. Y. Fu. "Rate-Splitting-Based Generalized Multiple Access for Band-Limited Multi-User VLC." Photonics 10, no. 4 (2023): 446. http://dx.doi.org/10.3390/photonics10040446.

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In this paper, we propose a rate-splitting-based generalized multiple access (GMA) scheme for band-limited multi-user visible light communication (VLC) systems. By splitting and transmitting the input data of each user in a joint orthogonal multiple access (OMA) and non-orthogonal multiple access (NOMA) manner, the proposed rate-splitting-based GMA scheme can obtain better bandwidth utilization than OMA and suffer less severe interference than NOMA. In order to achieve the maximum sum rate over typical low-pass VLC channels, the optimal rate-splitting-based GMA scheme was first obtained throug

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6

Xia, Cheng Jun, Cui Qiong Chen, Kun Men, and Ji Xue Yan. "A Novel System Splitting Scheme Based on the Identification of Weak Connection." Advanced Materials Research 1008-1009 (August 2014): 473–79. http://dx.doi.org/10.4028/www.scientific.net/amr.1008-1009.473.

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In this paper, a new system splitting scheme based on the identification of weak connection is proposed. This paper firstly claims that if two nodes in a transmission line are related to two different generator groups or irrelated to any generator group, the transmission line is regarded as weak connection. And matrix R is presented to reflect the relevance between load nodes and generator groups after faults are cleared. The candidate strategy space is composed of these transmission lines of weak connection. Secondly, the procedure of searching the splitting surfaces is listed to illustrate h

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7

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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8

Bréhier, Charles-Edouard, Jianbo Cui, and Jialin Hong. "Strong convergence rates of semidiscrete splitting approximations for the stochastic Allen–Cahn equation." IMA Journal of Numerical Analysis 39, no. 4 (2018): 2096–134. http://dx.doi.org/10.1093/imanum/dry052.

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Abstract This article analyses an explicit temporal splitting numerical scheme for the stochastic Allen–Cahn equation driven by additive noise in a bounded spatial domain with smooth boundary in dimension $d\leqslant 3$. The splitting strategy is combined with an exponential Euler scheme of an auxiliary problem. When $d=1$ and the driving noise is a space–time white noise we first show some a priori estimates of this splitting scheme. Using the monotonicity of the drift nonlinearity we then prove that under very mild assumptions on the initial data this scheme achieves the optimal strong conve

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9

Yang, Jian, Fei Tang, Qing Fen Liao, and Yi Fei Wang. "Study on a Controlled Splitting Scheme Based on Layer Expanding Graph Algorithm." Applied Mechanics and Materials 577 (July 2014): 974–77. http://dx.doi.org/10.4028/www.scientific.net/amm.577.974.

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Optimal controlled splitting is an emergency strategy to split the power system into several sub-regions based on global electrical information before the collapse of the system which is subject to severe disturbances. How to seek the optimal splitting sections rapidly and accurately is a key problem in controlled splitting field. A controlled splitting scheme based on layer expanding graph algorithm is presented in this paper. Firstly, source nodes of island regions extend out for the formation of the island regions. Secondly, island regions can be combined to make up synchronous sub-regions

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10

Ren, Yifei, and Zhiqiang Lu. "A flexible resource investment problem based on project splitting for aircraft moving assembly line." Assembly Automation 39, no. 4 (2019): 532–47. http://dx.doi.org/10.1108/aa-09-2018-0126.

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Purpose In response to the station design and flexible resources allocation of the aircraft moving assembly line, a new problem named flexible resource investment problem based on project splitting (FRIP_PS), which minimizes total cost of resources with a given deadline are proposed in this paper. Design/methodology/approach First, a corresponding mathematical model considering project splitting is constructed, which needs to be simultaneously determined together with job scheduling to acquire the optimized project scheduling scheme and resource configurations. Then, an integrated nested optim

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11

Li, Wanling, and Gengjun Gao. "Research on Multi-product Order Splitting and Distribution Route Optimization Of "Multi-warehouse in One Place"." Frontiers in Business, Economics and Management 8, no. 3 (2023): 1–8. http://dx.doi.org/10.54097/fbem.v8i3.7449.

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In recent years, large online supermarkets have become a new trend in the development of e-commerce. Due to the limited storage capacity of a single warehouse, many large online supermarkets, such as Jingdong and Tmall, often adopt the warehouse layout of "one place and multiple warehouses" to quickly respond to customer needs, and the sorting and distribution tasks of orders are completed by the warehouse. At the same time, due to the change of people's lifestyle, customer demand presents the characteristics of "one order with multiple products" and "one order with multiple quantities", which

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12

Areces, Carlos, Facundo Bustos, Martín Dominguez, and Jörg Hoffmann. "Optimizing Planning Domains by Automatic Action Schema Splitting." Proceedings of the International Conference on Automated Planning and Scheduling 24 (May 10, 2014): 11–19. http://dx.doi.org/10.1609/icaps.v24i1.13622.

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As modeling details can have a large impact on planner perormance, domain transformation has been a traditional subject of interest in the planning community not only betweenlanguages, but also within languages. Herein, we automatean intra-language transformation method that has as yet beenapplied only manually, and that has never been formally described: action schema splitting, which transforms an actionschema with a big interface (many parameters) into severalschemas with smaller interfaces, exponentially reducing thenumber of ground actions. We spell out this method, characterizing exactly

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13

Wang, Jiashuai, Xianyue Wu, Yibin Lin, et al. "Polarity-Dependent Driving Scheme for Suppressing Oil Film Splitting in Electrowetting Displays." Micromachines 16, no. 3 (2025): 338. https://doi.org/10.3390/mi16030338.

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Electrowetting displays (EWDs) face challenges such as oil film splitting and luminance fluctuations, hindering stable display performance. This study employed a high-precision three-dimensional simulation model to investigate and validate oil film splitting mechanisms. The model enabled detailed optimization of a new two-stage driving scheme, integrating a sinusoidal directing (SD) and a gradient asymmetrical alternating current (GAAC) driving scheme. The proposed scheme significantly suppressed oil film splitting, reduced luminance variance by 72.3% compared to traditional methods, and impro

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14

Einkemmer, L., A. Ostermann, and M. Residori. "A pseudo-spectral Strang splitting method for linear dispersive problems with transparent boundary conditions." Numerische Mathematik 150, no. 1 (2021): 105–35. http://dx.doi.org/10.1007/s00211-021-01252-1.

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AbstractThe present work proposes a second-order time splitting scheme for a linear dispersive equation with a variable advection coefficient subject to transparent boundary conditions. For its spatial discretization, a dual Petrov–Galerkin method is considered which gives spectral accuracy. The main difficulty in constructing a second-order splitting scheme in such a situation lies in the compatibility condition at the boundaries of the sub-problems. In particular, the presence of an inflow boundary condition in the advection part results in order reduction. To overcome this issue a modified

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15

Deng, Qiyun, Lei Gao, Wuyi Gao, Jiali Hao, Chunhua Zeng, and Hua Wang. "Direct Z-Scheme M2X/BiOY (M = Ag, Au; X = S, Se; Y = Cl, Br, I) Heterojunctions for Solar-Driven Photocatalytic Water Splitting Applications: A First-Principles Investigation." Nanomaterials 15, no. 11 (2025): 844. https://doi.org/10.3390/nano15110844.

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Two-dimensional direct Z-scheme photocatalysts have emerged as highly promising photocatalysts for solar-driven water splitting owing to their effective separation of photogenerated carriers and strong redox abilities. This study focuses on the theoretical prediction of promising Z-scheme photocatalysts for solar-driven water splitting based on M2X/BiOY (M = Ag, Au; X = S, Se; Y = Cl, Br, I) heterojunctions using first-principles calculations. All M2X/BiOY heterojunctions possess staggered band alignments, Z-scheme carrier migration, and suitable band edges for overall water splitting. Optical

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16

Mingalev, I. V., O. V. Mingalev, O. I. Akhmetov, and Z. V. Suvorova. "Explicit Splitting Scheme for Maxwell’s Equations." Mathematical Models and Computer Simulations 11, no. 4 (2019): 551–63. http://dx.doi.org/10.1134/s2070048219040094.

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17

Avramidis, Athanassios N., and James R. Wilson. "A splitting scheme for control variates." Operations Research Letters 14, no. 4 (1993): 187–98. http://dx.doi.org/10.1016/0167-6377(93)90069-s.

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18

Huang, Lang-Yang, Zhi-Feng Weng, and Chao-Ying Lin. "Compact splitting symplectic scheme for the fourth-order dispersive Schrödinger equation with Cubic-Quintic nonlinear term." International Journal of Modeling, Simulation, and Scientific Computing 10, no. 02 (2019): 1950007. http://dx.doi.org/10.1142/s1793962319500077.

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Combining symplectic algorithm, splitting technique and compact method, a compact splitting symplectic scheme is proposed to solve the fourth-order dispersive Schrödinger equation with cubic-quintic nonlinear term. The scheme has fourth-order accuracy in space and second-order accuracy in time. The discrete charge conservation law and stability of the scheme are analyzed. Numerical examples are given to confirm the theoretical results.

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19

Ahmed, Nauman, Tahira S.S., M. Rafiq, M. A. Rehman, Mubasher Ali, and M. O. Ahmad. "Positivity preserving operator splitting nonstandard finite difference methods for SEIR reaction diffusion model." Open Mathematics 17, no. 1 (2019): 313–30. http://dx.doi.org/10.1515/math-2019-0027.

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Abstract In this work, we will introduce two novel positivity preserving operator splitting nonstandard finite difference (NSFD) schemes for the numerical solution of SEIR reaction diffusion epidemic model. In epidemic model of infection diseases, positivity is an important property of the continuous system because negative value of a subpopulation is meaningless. The proposed operator splitting NSFD schemes are dynamically consistent with the solution of the continuous model. First scheme is conditionally stable while second operator splitting scheme is unconditionally stable. The stability o

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20

Wei, Weiping, Youlin Shang, Hongwei Jiao, and Pujun Jia. "Shock stability of a novel flux splitting scheme." AIMS Mathematics 9, no. 3 (2024): 7511–28. http://dx.doi.org/10.3934/math.2024364.

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<abstract><p>This article introduced the HLL-CPS-T flux splitting scheme, which is characterized by low dissipation and robustness. A detailed theoretical analysis of the dissipation and shock stability of this scheme was provided. In comparison to Toro's TV flux splitting scheme, the HLL-CPS-T scheme not only exhibits accurate capture of contact discontinuity, but also demonstrates superior shock stability, as evidenced by its absence of 'carbuncle' phenomenon. Through an examination of the disturbance attenuation properties of physical quantities in the TV and HLL-CPS-T schemes,

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21

Fan, Wenfei, Ziyan Han, Weilong Ren, et al. "Splitting Tuples of Mismatched Entities." Proceedings of the ACM on Management of Data 1, no. 4 (2023): 1–29. http://dx.doi.org/10.1145/3626763.

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There has been a host of work on entity resolution (ER), to identify tuples that refer to the same entity. This paper studies the inverse of ER, to identify tuples to which distinct real-world entities are matched by mistake, and split such tuples into a set of tuples, one for each entity. We formulate the tuple splitting problem. We propose a scheme to decide what tuples to split and what tuples to correct without splitting, fix errors/assign attribute values to the split tuples, and impute missing values. The scheme introduces a class of rules, which embed predicates for aligning entities ac

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22

RAY, M. P., B. P. PURANIK, and U. V. BHANDARKAR. "DEVELOPMENT AND ASSESSMENT OF SEVERAL HIGH-RESOLUTION SCHEMES FOR COMPRESSIBLE EULER EQUATIONS." International Journal of Computational Methods 11, no. 01 (2013): 1350049. http://dx.doi.org/10.1142/s0219876213500497.

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High-resolution extensions to six Riemann solvers and three flux vector splitting schemes are developed within the framework of a reconstruction-evolution approach. Third-order spatial accuracy is achieved using two different piecewise parabolic reconstructions and a weighted essentially nonoscillatory scheme. A three-stage TVD Runge–Kutta time stepping is employed for temporal integration. The modular development of solvers provides an ease in selecting a reconstruction scheme and/or a Riemann solver/flux vector splitting scheme. The performances of these high-resolution solvers are compared

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23

Iwase, Yukari, Osamu Tomita, Masanobu Higashi, and Ryu Abe. "Enhanced oxygen evolution on visible light responsive TaON photocatalysts co-loaded with highly active Ru species for IO3− reduction and Co species for water oxidation." Sustainable Energy & Fuels 1, no. 4 (2017): 748–54. http://dx.doi.org/10.1039/c7se00110j.

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Loading an appropriate cocatalyst significantly enhances the activity of semiconductor photocatalysts in both conventional one-step water splitting and Z-scheme-type water splitting with a redox couple.

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24

Geiser, Jürgen. "Computing Exponential for Iterative Splitting Methods: Algorithms and Applications." Journal of Applied Mathematics 2011 (2011): 1–27. http://dx.doi.org/10.1155/2011/193781.

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Iterative splitting methods have a huge amount to compute matrix exponential. Here, the acceleration and recovering of higher-order schemes can be achieved. From a theoretical point of view, iterative splitting methods are at least alternating Picards fix-point iteration schemes. For practical applications, it is important to compute very fast matrix exponentials. In this paper, we concentrate on developing fast algorithms to solve the iterative splitting scheme. First, we reformulate the iterative splitting scheme into an integral notation of matrix exponential. In this notation, we consider

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25

Geiser, Jürgen. "Embedded Zassenhaus Expansion to Splitting Schemes: Theory and Multiphysics Applications." International Journal of Differential Equations 2013 (2013): 1–11. http://dx.doi.org/10.1155/2013/314290.

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We present some operator splitting methods improved by the use of the Zassenhaus product and designed for applications to multiphysics problems. We treat iterative splitting methods that can be improved by means of the Zassenhaus product formula, which is a sequential splitting scheme. The main idea for reducing the computation time needed by the iterative scheme is to embed fast and cheap Zassenhaus product schemes, since the computation of the commutators involved is very cheap, since we are dealing with nilpotent matrices. We discuss the coupling ideas of iterative and sequential splitting

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26

Viner, Kevin C., and Craig C. Epifanio. "An Analysis of Klemp–Wilhelmson Schemes as Applied to Large-Scale Wave Modes." Monthly Weather Review 136, no. 12 (2008): 4730–45. http://dx.doi.org/10.1175/2008mwr2200.1.

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Abstract The use of Klemp–Wilhelmson (KW) time splitting for large-scale and global modeling is assessed through a series of von Neumann accuracy and stability analyses. Two variations of the KW splitting are evaluated in particular: the original acoustic-mode splitting of Klemp and Wilhelmson (KW78) and a modified splitting due to Skamarock and Klemp (SK92) in which the buoyancy and vertical stratification terms are treated as fast-mode terms. The large-scale case of interest is the problem of Rossby wave propagation on a resting background state. The results show that the original KW78 split

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27

Shuai, Chunjiang, Kaimin Teng, and Hongen Jia. "On the Error Estimates of a New Operator Splitting Scheme for the Navier-Stokes Equations with Coriolis Force." Mathematical Problems in Engineering 2012 (2012): 1–23. http://dx.doi.org/10.1155/2012/105735.

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An operator splitting scheme is introduced for the numerical solution of the incompressible Navier-Stokes equations with Coriolis force. Under some mild regularity assumptions on the continuous solution, error estimates and the stability analysis for the velocity and the pressure of the new operator splitting scheme are obtained. Some numerical results are presented to verify the theoretical predictions.

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28

Shim, Yeonggyu, and Wonjae Shin. "Energy Rate Maximization with Sum-Rate Constraint for SWIPT in Multiple-Access Channels." Electronics 8, no. 12 (2019): 1525. http://dx.doi.org/10.3390/electronics8121525.

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This paper considers simultaneous wireless information and power transfer (SWIPT) systems in the two-user Gaussian multiple access channel (G-MAC). In SWIPT systems, for a transmit signal each transmitter consists of an information-carrying signal and energy-carrying signal. By controlling a different set of the power for the information transmission and power for the energy transmission under a total power constraint, the information sum-rate and energy transmission rate can be achieved. As the information carrying-to-transmit power ratio at transmitters and the information sum-rate increases

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29

Parsarad, Shiva, Narges Saeedizadeh, Soufi Ghazaleh Jamalipour, et al. "Biased Deep Learning Methods in Detection of COVID-19 Using CT Images: A Challenge Mounted by Subject-Wise-Split ISFCT Dataset." Journal of Imaging 9, no. 8 (2023): 159. https://doi.org/10.5281/zenodo.7997151.

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30

Woźnicki, Zbigniew I. "Matrix splitting principles." International Journal of Mathematics and Mathematical Sciences 28, no. 5 (2001): 251–84. http://dx.doi.org/10.1155/s0161171201007062.

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The systematic analysis of convergence conditions, used in comparison theorems proven for different matrix splittings, is presented. The central idea of this analysis is the scheme of condition implications derived from the properties of regular splittings of a monotone matrixA=M1−N1=M2−N2. An equivalence of some conditions as well as an autonomous character of the conditionsM1−1≥M2−1≥0andA−1N2≥A−1N1≥0are pointed out. The secondary goal is to discuss some essential topics related with existing comparison theorems.

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31

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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32

Chaoui, Slim, Omar Alruwaili, Chafaa Hamrouni, Aarif Alutaybi, and Afif Masmoudi. "On the Performance of Coded Cooperative Communication with Multiple Energy-Harvesting Relays and Error-Prone Forwarding." Applied Sciences 13, no. 5 (2023): 2910. http://dx.doi.org/10.3390/app13052910.

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In this paper, we consider a coded cooperative communication network with multiple energy-harvesting (EH) relays. In order to adequately address the problem of error propagation due to the erroneous decoding at the relays, as in the case of conventional decode and forward (DF) relaying protocol, we propose coded cooperative schemes with hard information relaying (HIR) and soft information relaying (SIR) strategies. The performance of the relayed communication with EH relay depends crucially on the channel decoding capability at the relay, channel gains at the source–relay and relay–destination

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33

PAN, GUI-XIA, YI-MIN LIU, XIAO-FENG YIN, WEN ZHANG, and ZHAN-JUN ZHANG. "A QUANTUM SPLITTING SCHEME OF ARBITRARY TWO-QUBIT STATE USING FOUR-QUBIT CLUSTER STATE." International Journal of Quantum Information 06, no. 05 (2008): 1033–40. http://dx.doi.org/10.1142/s021974990800433x.

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In this paper, we explore the channel capacity of the 4-qubit 4-term cluster state (i.e. (|0000〉 + |0011〉 + |1100〉 - |1111〉)/2) for splitting arbitrary two-qubit quantum information. After our extensive investigations, we found that 4 out of 12 possible distributions of the 4 qubits can be utilized to realize bipartite splitting. In terms of each distribution, the corresponding splitting scheme is presented and LOCCs (local operation and classical communication) are explicitly given.

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34

Podoll, K., and D. Robinson. "Splitting of the Body Image as Somesthetic Aura Symptom in Migraine." Cephalalgia 22, no. 1 (2002): 62–65. http://dx.doi.org/10.1046/j.1468-2982.2002.00316.x.

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Splitting of the body image was illustrated as a somesthetic aura symptom in three of the 562 entries to the national Migraine Art competitions, confirming previous descriptions of this rare phenomenon in the migraine literature. In this type of self-experienced paroxysmal body schema disturbance, the own body is perceived as being split, usually in the mid-line, into two halves that may be displaced or separated from each other. Splitting of the body image most frequently applies to the migraine sufferer's head. The said phenomenon, the pathomechanisms of which are obscure, must not be confus

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35

ZUO, XUE-QIN, YI-MIN LIU, WEN ZHANG, XIAO-FENG YIN, and ZHAN-JUN ZHANG. "MINIMAL CLASSICAL COMMUNICATION COST AND MEASUREMENT COMPLEXITY IN SPLITTING TWO-QUBIT QUANTUM INFORMATION VIA ASYMMETRIC W STATES." International Journal of Quantum Information 06, no. 06 (2008): 1245–53. http://dx.doi.org/10.1142/s0219749908004419.

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We propose a scheme for splitting a two-qubit quantum information by using two asymmetric W states as quantum channel. In this scheme the split state is assumed to be completely known by the sender. Because of this, during the splitting process, the sender only needs to perform a two-qubit projective measurement. Once the sender announces the measurement result in terms of the prior agreement, then using this message the two receivers can recover the quantum information via their mutual assistance. We calculate the success probability and classical communication cost of the scheme. In general,

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36

Do, Dinh-Thuan. "Optimal Energy Harvesting Scheme for Power Beacon-Assisted Wireless-Powered Networks." Indonesian Journal of Electrical Engineering and Computer Science 7, no. 3 (2017): 802. http://dx.doi.org/10.11591/ijeecs.v7.i3.pp802-808.

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In this paper, we consider one-way relay with energy harvesting system based on power beacon (PB), in which the relay node harvests transmitted power from the PB station to forward signals to destination. We also analyse the relay network model with amplify-and-forward (AF) protocol for information cooperation and Power Splitting-based Relaying (PSR) protocol for power transfer. In particular, the outage probability and optimal energy harvesting (EH) power splitting fraction of novel scheme in are presented. We obtain analytical closed-form expression of optimal energy harvesting (EH) power sp

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37

Dinh-Thuan, Do. "Optimal Energy Harvesting Scheme for Power Beacon-Assisted Wireless-Powered Networks." Indonesian Journal of Electrical Engineering and Computer Science 5, no. 1 (2017): 802–8. https://doi.org/10.11591/ijeecs.v7.i3.pp802-808.

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Анотація:

In this paper, we consider one-way relay with energy harvesting system based on power beacon (PB), in which the relay node harvests transmitted power from the PB station to forward signals to destination. We also analyse the relay network model with amplify-and-forward (AF) protocol for information cooperation and Power Splitting-based Relaying (PSR) protocol for power transfer. In particular, the outage probability and optimal energy harvesting (EH) power splitting fraction of novel scheme in are presented. We obtain analytical closed-form expression of optimal energy harvesting (EH) power sp

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38

Mingalev, I., Z. Suvorova, O. Ahmetov, and O. Mingalev. "The explicit splitting scheme for Maxwell's equations." Matematicheskoe modelirovanie 30, no. 12 (2018): 17–38. http://dx.doi.org/10.31857/s023408790001934-1.

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39

Vabishchevich, P. N., M. V. Vasil’eva, and A. E. Kolesov. "Splitting scheme for poroelasticity and thermoelasticity problems." Computational Mathematics and Mathematical Physics 54, no. 8 (2014): 1305–15. http://dx.doi.org/10.1134/s0965542514080132.

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40

Lian, Yong-Sheng, and Ruquan Wang. "An implicit kinetic flux vector splitting scheme." Communications in Nonlinear Science and Numerical Simulation 2, no. 3 (1997): 186–90. http://dx.doi.org/10.1016/s1007-5704(97)90025-3.

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41

Čiegis, Raimondas, and Violeta Pakenienė. "Šredingerio uždavinio su stiprinimo procesu sprendimas simetrizuota išskaidymo schema." Lietuvos matematikos rinkinys 41 (December 17, 2001): 504–10. http://dx.doi.org/10.15388/lmr.2001.34637.

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In this paper we consider one-dimensional nonlinear Shrödinger equation. The equation includes an absorption term and the solution is periodically amplified in order to compensate the lose of the energy. We present a finite difference approximation by a symetrical splitting scheme. The convergence of the discrete solution is proved.

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42

Grigor'yev, F. V., and A. S. Nuzhnyy. "Radionuclide Transport in Geological Environment Modeled in the GeRa Code with an Account Taken of Radioactive Decay Chains: Numerical Scheme Verification and Calculation Specifics." Radioactive Waste 27, no. 2 (2024): 95–101. http://dx.doi.org/10.25283/2587-9707-2024-2-95-101.

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The paper describes a numerical scheme implemented in the GeRa code to solve the problem of radionuclide transport in porous medium taking into account radioactive decay chains. It is based on a scheme of splitting by physical processes and the use of separate modules for solving transport and radioactive decay chain problems. Verification of the numerical scheme was performed using an analytical solution for a specific case of the problem formulation in a homogeneous porous medium. The study explores the error introduced into the numerical solution by the use of the splitting scheme. The stud

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43

Wang, Bo, Dong Liang, and Tongjun Sun. "The Conservative Splitting High-Order Compact Finite Difference Scheme for Two-Dimensional Schrödinger Equations." International Journal of Computational Methods 15, no. 01 (2017): 1750079. http://dx.doi.org/10.1142/s0219876217500797.

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In this paper, a new conservative and splitting fourth-order compact difference scheme is proposed and analyzed for solving two-dimensional linear Schrödinger equations. The proposed splitting high-order compact scheme in two dimensions has the excellent property that it preserves the conservations of charge and energy. We strictly prove that the scheme satisfies the charge and energy conservations and it is unconditionally stable. We also prove the optimal error estimate of fourth-order accuracy in spatial step and second-order accuracy in time step. The scheme can be easily implemented and e

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44

Chen, Jing-Bo. "High-order time discretizations in seismic modeling." GEOPHYSICS 72, no. 5 (2007): SM115—SM122. http://dx.doi.org/10.1190/1.2750424.

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Seismic modeling plays an important role in explor-ation geophysics. High-order modeling schemes are in demand for practical reasons. In this context, I present three kinds of high-order time discretizations: Lax-Wendroff methods, Nyström methods, and splitting methods. Lax-Wendroff methods are based on the Taylor expansion and the replacement of high-order temporal derivatives by spatial derivatives, Nyström methods are simplified Runge-Kutta algorithms, and splitting methods comprise substeps for one-step computation. Based on these methods, three schemes with third-order and fourth-order ac

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45

Boda, Lívia, Istvan Faragó, and Tamás Kalmár-Nagy. "The average method is much better than average." Journal of Computational and Applied Mechanics 16, no. 1 (2021): 37–56. http://dx.doi.org/10.32973/jcam.2021.003.

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Operator splitting is a powerful method for the numerical investigation of complex time-dependent models, where the stationary (elliptic) part consists of a sum of several structurally simpler sub-operators. As an alternative to the classical splitting methods, a new splitting scheme is proposed here, the Average Method with sequential splitting. In this method, a decomposition of the original problem is sought in terms of commuting matrices. Wedemonstrate that third-order accuracy can be achieved with the Average Method. The computational performance of the method is investigated, yielding ru

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46

Yang, Zhaohua, Dan Li, and Yuzhe Sun. "Analysis of Kerr Noise in Angular-Rate Sensing Based on Mode Splitting in a Whispering-Gallery-Mode Microresonator." Micromachines 10, no. 2 (2019): 150. http://dx.doi.org/10.3390/mi10020150.

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Whispering-gallery-mode (WGM) microresonators have shown their potential in high-precision gyroscopes because of their small volume and high-quality factors. However, Kerr noise can always be the limit of accuracy. Angular-rate sensing based on mode splitting treats backscattering as a measured signal, which can induce mode splitting, while it is considered as a main source of noise in conventional resonator optical gyroscopes. Meanwhile, mode splitting also provides superior noise suppression owing to its self-reference scheme. Kerr noise in this scheme has not been defined and solved yet. He

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47

Liu, Chein-Shan, Chih-Wen Chang, and Chia-Cheng Tsai. "Numerical Simulations of Complex Helmholtz Equations Using Two-Block Splitting Iterative Schemes with Optimal Values of Parameters." AppliedMath 4, no. 4 (2024): 1256–77. http://dx.doi.org/10.3390/appliedmath4040068.

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For a two-block splitting iterative scheme to solve the complex linear equations system resulting from the complex Helmholtz equation, the iterative form using descent vector and residual vector is formulated. We propose splitting iterative schemes by considering the perpendicular property of consecutive residual vector. The two-block splitting iterative schemes are proven to have absolute convergence, and the residual is minimized at each iteration step. Single and double parameters in the two-block splitting iterative schemes are derived explicitly utilizing the orthogonality condition or th

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48

Tiam Kapen, Pascalin, and Tchuen Ghislain. "A New Flux Splitting Scheme Based on Toro-Vazquez and HLL Schemes for the Euler Equations." Journal of Computational Methods in Physics 2014 (December 2, 2014): 1–13. http://dx.doi.org/10.1155/2014/827034.

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This paper presents a new flux splitting scheme for the Euler equations. The proposed scheme termed TV-HLL is obtained by following the Toro-Vazquez splitting (Toro and Vázquez-Cendón, 2012) and using the HLL algorithm with modified wave speeds for the pressure system. Here, the intercell velocity for the advection system is taken as the arithmetic mean. The resulting scheme is more accurate when compared to the Toro-Vazquez schemes and also enjoys the property of recognition of contact discontinuities and shear waves. Accuracy, efficiency, and other essential features of the proposed scheme a

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49

Volosova, N. K., K. A. Volosov, A. K. Volosova, M. I. Karlov, D. F. Pastuhov, and Yu F. Pastuhov. "Explicit Difference Scheme N-fold Splitting For the Vortex Equation in a Viscous Incompressible Fluid." Вестник Пермского университета. Математика. Механика. Информатика, no. 4 (63) (2023): 12–21. http://dx.doi.org/10.17072/1993-0550-2023-4-12-21.

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This work is the first to consider the possibility of N-fold (n=100,200) splitting of an explicit difference scheme for the vortex equation in the system of equations of a hydrodynamic problem in a rectangular cavity with a viscous incompressible fluid and with the Reynolds number Re=1000. The algorithm proposed in the work allows us to significantly increase the maximum time step per iteration of the general problem and reduce the total calculation time by tens to hundreds of times. The splitting algorithm for the vortex equation explicit difference scheme is effective if the time spent by th

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50

Wilkins, Jesse L. M., and Anderson Norton. "The Splitting Loope." Journal for Research in Mathematics Education 42, no. 4 (2011): 386–416. http://dx.doi.org/10.5951/jresematheduc.42.4.0386.

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Teaching experiments have generated several hypotheses concerning the construction of fraction schemes and operations and relationships among them. In particular, researchers have hypothesized that children's construction of splitting operations is crucial to their construction of more advanced fractions concepts (Steffe, 2002). The authors propose that splitting constitutes a psychological structure similar to that of a mathematical group (Piaget, 1970b): a structure that introduces mutual reversibility of students' partitioning and iterating operations that the authors refer to as the splitt

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