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1

Guinot, Vincent. "Linear advection modelling: the issue of divergent flows." Journal of Hydroinformatics 2, no. 2 (March 1, 2000): 113–21. http://dx.doi.org/10.2166/hydro.2000.0009.

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Schemes for linear advection modelling in multiple dimensions on structured grids use either time-splitting or an unsplit approach for flux computation. In the case of strongly divergent flows, time-splitting introduces anisotropy in the solution whereas, with the unsplit approach, more mass than actually available may be abstracted from the computational cells, leading for instance to oscillations and sometimes instability. A simple correction for the flux, taking into account the divergence of the flow, is proposed to eliminate the problem for the unsplit approach. This correction introduces a limitation on the computational time step. An experiment carried out using a market-available software package shows that the problem above is of practical interest, and that verification procedures of modelling software should take into account simulations under non-uniform flows.
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2

Li, Xiaolong, Tiantian Zhang, Meimei Hao, Bei Zhang, Wenyi Yao, and Zhenzhou Shen. "Unsplit Youngs Method for Tracking the Moving Interface of Expansible Grout." Complexity 2020 (October 29, 2020): 1–17. http://dx.doi.org/10.1155/2020/2014959.

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Accurately tracking the moving interface is one of the most critical challenges in numerically modeling grout diffusion in fractures. The traditional Youngs method does not consider fluid transport to the oblique adjacent cell, which leads to repeated calculation and error accumulation. Based on the interface reconstruction technology, this paper introduced the idea of the unsplit algorithm to capture the grout-air interface. The unsplit interface advancement formulas were derived considering the fluid fluxes from the central cell to the oblique adjacent cells in the structured cell system. The numerical method based on the unsplit algorithm was validated by examples of predicting the propagation of expansible grout in a fracture. Results show that the diffusion pattern and grout front position calculated by the proposed method are in better agreement with the analytical solution compared with the traditional split algorithm. The new method can effectively improve the grout-air interface tracking accuracy.
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3

Giannopoulos, Antonios. "Unsplit Implementation of Higher Order PMLs." IEEE Transactions on Antennas and Propagation 60, no. 3 (March 2012): 1479–85. http://dx.doi.org/10.1109/tap.2011.2180344.

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4

Papola, Natale. "Bandwidth maximization: Split and unsplit solutions." Transportation Research Part B: Methodological 26, no. 5 (October 1992): 341–56. http://dx.doi.org/10.1016/0191-2615(92)90030-z.

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5

Kim, Byung-Hyun, Kun-Yeon Han, and Ji-Sung Kim. "Handling Method for Flux and Source Terms using Unsplit Scheme." Journal of Korea Water Resources Association 42, no. 12 (December 31, 2009): 1079–89. http://dx.doi.org/10.3741/jkwra.2009.42.12.1079.

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6

Occhetta, Gianluca. "A Characterization of Products of Projective Spaces." Canadian Mathematical Bulletin 49, no. 2 (June 1, 2006): 270–80. http://dx.doi.org/10.4153/cmb-2006-028-3.

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7

González García, S., M. A. Hernández-López, M. Fernández Pantoja, R. Gómez Martín, and B. García Olmedo. "Unsplit Berenger's PML equations for arbitrary media." Electronics Letters 37, no. 25 (2001): 1509. http://dx.doi.org/10.1049/el:20011052.

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8

DOW, JOHN D., and DALE R. HARSHMAN. "IMPLICATIONS OF Gd DESTROYING HIGH-TEMPERATURE SUPERCONDUCTIVITY." Modern Physics Letters B 19, no. 07n08 (April 10, 2005): 401–4. http://dx.doi.org/10.1142/s0217984905008359.

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The magnetic ion Gd +3, having L = 0 and J ≠ 0, is unsplit by crystal fields and, unlike the other trivalent L ≠ 0 rare-earth ions (which are crystal-field split), is a pair-breaker in high-temperature superconductors. Consequently two-layer compounds with Gd (i.e., Gd 2-z Ce z CuO 4 and Ba 2 GdRu 1-u Cu u O 6) do not superconduct, but their sister compounds without unsplit and pair-breaking Gd , do superconduct (e.g., Nd 2-z Ce z CuO 4, with crystal-field split Nd , and Sr 2 YRu 1-u Cu u O 6, with L = 0 Y , both superconduct). The superconductivity clearly originates in the oxygen of the SrO or BaO layers, or in interstitial oxygen, not in the CuO 2 planes.
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9

Kargatov, Anton M. "Structural features of split and unsplit βαβ-units." Journal of Structural Biology 209, no. 1 (January 2020): 107427. http://dx.doi.org/10.1016/j.jsb.2019.107427.

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10

Stone, James M., and Thomas Gardiner. "A simple unsplit Godunov method for multidimensional MHD." New Astronomy 14, no. 2 (February 2009): 139–48. http://dx.doi.org/10.1016/j.newast.2008.06.003.

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11

Lee, Dongwook, and Anil E. Deane. "An unsplit staggered mesh scheme for multidimensional magnetohydrodynamics." Journal of Computational Physics 228, no. 4 (March 2009): 952–75. http://dx.doi.org/10.1016/j.jcp.2008.08.026.

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12

Comminal, Raphaël, and Jon Spangenberg. "Three-dimensional cellwise conservative unsplit geometric VOF schemes." Journal of Computational Physics 442 (October 2021): 110479. http://dx.doi.org/10.1016/j.jcp.2021.110479.

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13

Zakusylo, Daryna. "Морфо-синтаксическая структура коммуникативных ситуаций каузации радости (на материале польского языка)." Poznańskie Studia Polonistyczne. Seria Językoznawcza 27, no. 1 (March 15, 2020): 243–52. http://dx.doi.org/10.14746/pspsj.2020.27.1.16.

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The article analyses the morphological and syntactic expression of the causator (or cause) in the communicative situations of causation of joy in the Polish language. By causation we mean the semantic category which expresses the causal relationships between the fundamentals of non-linguistic reality. The purpose of this study is to analyse the syntactic structure of communicative situations of causation of joy, on the semantic level of which there are such actants as: agent, experiencer, causator (or cause). All of the analysed constructions were divided into three groups: agentive split constructions, agentive unsplit constructions and non-agentive constructions. Split constructions refer to those in which the agent and causator are separate actants, while unsplit ones refer to those in which these semantic roles are combined into one actant. The results of the study show that the most numerous group among the examples is that of non-agentive constructions.
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14

Leung, Y. F., and C. H. Chan. "Pseudospectral time-domain (PSTD) method with unsplit-field PML." Microwave and Optical Technology Letters 22, no. 4 (August 20, 1999): 278–83. http://dx.doi.org/10.1002/(sici)1098-2760(19990820)22:4<278::aid-mop19>3.0.co;2-v.

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15

Saltzman, Jeff. "An Unsplit 3D Upwind Method for Hyperbolic Conservation Laws." Journal of Computational Physics 115, no. 1 (November 1994): 153–68. http://dx.doi.org/10.1006/jcph.1994.1184.

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16

Ramadan, Omar. "Unsplit-Field PML Algorithm for Truncating Nonlinear FDTD Domains." International Journal of Infrared and Millimeter Waves 26, no. 8 (July 25, 2005): 1151–61. http://dx.doi.org/10.1007/s10762-005-7274-5.

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17

Crockett, Robert K., Phillip Colella, Robert T. Fisher, Richard I. Klein, and Christopher F. McKee. "An unsplit, cell-centered Godunov method for ideal MHD." Journal of Computational Physics 203, no. 2 (March 2005): 422–48. http://dx.doi.org/10.1016/j.jcp.2004.08.021.

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18

Khalimov, E. V., A. Y. Mikhaylov, G. I. Tikhomirova, and V. V. Mayburov. "PLASMA UNSPLIT NATIVE FIBRONECTIN IN SEVERITY SCORE OF ACUTE PANCREATITIS." Современные проблемы науки и образования (Modern Problems of Science and Education), no. 3 2019 (2019): 133. http://dx.doi.org/10.17513/spno.28892.

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19

Nonaka, A., S. May, A. S. Almgren, and J. B. Bell. "A Three-Dimensional, Unsplit Godunov Method for Scalar Conservation Laws." SIAM Journal on Scientific Computing 33, no. 4 (January 2011): 2039–62. http://dx.doi.org/10.1137/100809520.

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20

Yang, Wei, Shu-hong Liu, and Yu-lin Wu. "An Unsplit Lagrangian Advection Scheme for Volume of Fluid Method." Journal of Hydrodynamics 22, no. 1 (February 2010): 73–80. http://dx.doi.org/10.1016/s1001-6058(09)60030-5.

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21

Godoy Rubio, R., S. González García, A. Rubio Bretones, and R. Gómez Martín. "An unsplit Berenger-like PML for the ADI-FDTD method." Microwave and Optical Technology Letters 42, no. 6 (July 12, 2004): 466–69. http://dx.doi.org/10.1002/mop.20338.

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22

Becache, E., P. G. Petropoulos, and S. D. Gedney. "On the Long-Time Behavior of Unsplit Perfectly Matched Layers." IEEE Transactions on Antennas and Propagation 52, no. 5 (May 2004): 1335–42. http://dx.doi.org/10.1109/tap.2004.827253.

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23

Gardiner, Thomas A., and James M. Stone. "An unsplit Godunov method for ideal MHD via constrained transport." Journal of Computational Physics 205, no. 2 (May 2005): 509–39. http://dx.doi.org/10.1016/j.jcp.2004.11.016.

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24

Comminal, Raphaël, Jon Spangenberg, and Jesper Henri Hattel. "Cellwise conservative unsplit advection for the volume of fluid method." Journal of Computational Physics 283 (February 2015): 582–608. http://dx.doi.org/10.1016/j.jcp.2014.12.003.

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25

Fu Jia-Hui, Meng Fan-Yi, Yang Guo-Hui, Wu Qun, and Liu Xin-Lei. "The research of left-handed material using unsplit FDTD method." Acta Physica Sinica 57, no. 7 (2008): 4070. http://dx.doi.org/10.7498/aps.57.4070.

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26

Novelli, Carla. "On Fano manifolds with an unsplit dominating family of rational curves." Kodai Mathematical Journal 35, no. 3 (October 2012): 425–38. http://dx.doi.org/10.2996/kmj/1352985447.

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27

Danza, Matteo, Riccardo Guidi, and Francesco Carinci. "Comparison Between Implants Inserted Into Piezo Split and Unsplit Alveolar Crests." Journal of Oral and Maxillofacial Surgery 67, no. 11 (November 2009): 2460–65. http://dx.doi.org/10.1016/j.joms.2009.04.041.

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28

Lee, C. K. B., R. C. Crawford, K. A. Mann, P. Coleman, and C. Petersen. "Evidence of higher Pochhammer-Chree modes in an unsplit Hopkinson bar." Measurement Science and Technology 6, no. 7 (July 1, 1995): 853–59. http://dx.doi.org/10.1088/0957-0233/6/7/001.

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29

Ozkar, M., G. Lazzi, and A. Mortazawi. "A modified unsplit PML formulation for evanescent mode absorption in waveguides." IEEE Microwave and Wireless Components Letters 13, no. 6 (June 2003): 220–22. http://dx.doi.org/10.1109/lmwc.2003.814109.

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30

Bramel, Julien, Edward G. Coffman, Peter W. Shor, and David Simchi-Levi. "Probabilistic Analysis of the Capacitated Vehicle Routing Problem with Unsplit Demands." Operations Research 40, no. 6 (December 1992): 1095–106. http://dx.doi.org/10.1287/opre.40.6.1095.

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31

Samtaney, R., P. Colella, T. J. Ligocki, D. F. Martin, and S. C. Jardin. "An adaptive mesh semi-implicit conservative unsplit method for resistive MHD." Journal of Physics: Conference Series 16 (January 1, 2005): 40–48. http://dx.doi.org/10.1088/1742-6596/16/1/005.

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32

Maghsoudi, H., M. H. Khoshtaghaza, and S. Minaei. "Selected Geometric Characteristics, Density, and Mechanical Properties of Unsplit Pistachio Nut." International Journal of Food Properties 13, no. 2 (February 24, 2010): 394–403. http://dx.doi.org/10.1080/10942910802571745.

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33

Bayram, Mustafa. "Comparison of unsplit inshell and shelled kernel of the pistachio nuts." Journal of Food Engineering 107, no. 3-4 (December 2011): 374–78. http://dx.doi.org/10.1016/j.jfoodeng.2011.07.001.

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34

Abarbanel, S., H. Qasimov, and S. Tsynkov. "Long-Time Performance of Unsplit PMLs with Explicit Second Order Schemes." Journal of Scientific Computing 41, no. 1 (March 3, 2009): 1–12. http://dx.doi.org/10.1007/s10915-009-9282-4.

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35

Whitehurst, Robert. "The Signal Method." Publications of the Astronomical Society of Australia 13, no. 3 (June 1996): 227–35. http://dx.doi.org/10.1017/s1323358000020890.

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AbstractThis paper presents a new Lagrangian approach to the numeric solution of the equation of gas dynamics in two dimensions. This, the signal method, is implemented here as a free Lagrange method in the code FLAME. The signal method is conservative, stable, unsplit, positive definite, accurately tracks strong shock fronts with ease, and adapts to and follows complex gas flows for long times. No artificial viscosities are introduced. No special knowledge of the solution is required in advance and only local information is used.
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36

Lilley, Travis R., Cheryl Wotus, Daniel Taylor, Jennifer M. Lee, and Horacio O. de la Iglesia. "Circadian Regulation of Cortisol Release in Behaviorally Split Golden Hamsters." Endocrinology 153, no. 2 (February 1, 2012): 732–38. http://dx.doi.org/10.1210/en.2011-1624.

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The master circadian clock located within the hypothalamic suprachiasmatic nucleus (SCN) is necessary for the circadian rhythm of glucocorticoid (GC) release. The pathways by which the SCN sustains rhythmic GC release remain unclear. We studied the circadian regulation of cortisol release in the behaviorally split golden hamster, in which the single bout of circadian locomotor activity splits into two bouts approximately12 h apart after exposing the animals to constant light conditions. We show that unsplit control hamsters present a single peak of cortisol release that is concomitant with a single peak of ACTH release. In contrast, split hamsters show two peaks of cortisol release that are approximately12 h appart and are appropriately phased to each locomotor activity bout but surprisingly do not rely on rhythmic release of ACTH. Our results are consistent with a model in which the circadian pacemaker within the SCN regulates the circadian release of GC via input to the hypothalamo-pituitary-adrenal axis and via a second regulatory pathway, which likely involves sympathetic innervation of the adrenal and can operate even in the absence of ACTH circadian rhythmic release. Furthermore, we show that although the overall 24-h cortisol output in split hamsters is lower than in unsplit controls, split hamsters release constant low levels of ACTH. This result suggests that the timing, rather than the absolute amount, of cortisol release is more critical for the induction of negative feedback effects that regulate the hypothalamo-pituitary-adrenal axis.
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37

Papalexandris, M. V., A. Leonard, and P. E. Dimotakis. "Unsplit algorithms for multidimensional systems of hyperbolic conservation laws with source terms." Computers & Mathematics with Applications 44, no. 1-2 (July 2002): 25–49. http://dx.doi.org/10.1016/s0898-1221(02)00128-1.

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38

Zhang, Qinghai. "On a Family of Unsplit Advection Algorithms for Volume-of-Fluid Methods." SIAM Journal on Numerical Analysis 51, no. 5 (January 2013): 2822–50. http://dx.doi.org/10.1137/120897882.

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39

Ramadan, O. "Unsplit field implicit PML algorithm for complex envelope dispersive LOD-FDTD simulations." Electronics Letters 43, no. 5 (2007): 267. http://dx.doi.org/10.1049/el:20073945.

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40

Schive, Hsi-Yu, Ui-Han Zhang, and Tzihong Chiueh. "Directionally unsplit hydrodynamic schemes with hybrid MPI/OpenMP/GPU parallelization in AMR." International Journal of High Performance Computing Applications 26, no. 4 (November 17, 2011): 367–77. http://dx.doi.org/10.1177/1094342011428146.

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We present the implementation and performance of a class of directionally unsplit Riemann-solver-based hydrodynamic schemes on graphics processing units (GPUs). These schemes, including the MUSCL-Hancock method, a variant of the MUSCL-Hancock method, and the corner-transport-upwind method, are embedded into the adaptive-mesh-refinement (AMR) code GAMER. Furthermore, a hybrid MPI/OpenMP model is investigated, which enables the full exploitation of the computing power in a heterogeneous CPU/GPU cluster and significantly improves the overall performance. Performance benchmarks are conducted on the Dirac GPU cluster at NERSC/LBNL using up to 32 Tesla C2050 GPUs. A single GPU achieves speed-ups of 101 (25) and 84 (22) for uniform-mesh and AMR simulations, respectively, as compared with the performance using one (four) CPU core(s), and the excellent performance persists in multi-GPU tests. In addition, we make a direct comparison between GAMER and the widely adopted CPU code Athena in adiabatic hydrodynamic tests and demonstrate that, with the same accuracy, GAMER is able to achieve two orders of magnitude performance speed-up.
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41

GOYAL, G., P. J. PAUL, H. S. MUKUNDA, and S. M. DESHPANDE. "Time Dependent Operator-split and Unsplit Schemes for One Dimensional Premixed Flames." Combustion Science and Technology 60, no. 1-3 (July 1988): 167–89. http://dx.doi.org/10.1080/00102208808923983.

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42

Sullivan, D. M. "An unsplit step 3-D PML for use with the FDTD method." IEEE Microwave and Guided Wave Letters 7, no. 7 (July 1997): 184–86. http://dx.doi.org/10.1109/75.594858.

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43

Liovic, Petar, Murray Rudman, Jong-Leng Liow, Djamel Lakehal, and Doug Kothe. "A 3D unsplit-advection volume tracking algorithm with planarity-preserving interface reconstruction." Computers & Fluids 35, no. 10 (December 2006): 1011–32. http://dx.doi.org/10.1016/j.compfluid.2005.09.003.

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44

Elkina, N. V., and J. Büchner. "A new conservative unsplit method for the solution of the Vlasov equation." Journal of Computational Physics 213, no. 2 (April 2006): 862–75. http://dx.doi.org/10.1016/j.jcp.2005.09.023.

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45

Haolin, Jiang, Xie Yongjun, Wu Peiyu, Zhang Jianfeng, and Niu Liqiang. "Unsplit-field higher-order nearly PML for arbitrary media in EM simulation." Journal of Systems Engineering and Electronics 32, no. 1 (February 2021): 1–6. http://dx.doi.org/10.23919/jsee.2021.000001.

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46

Gardner, Carl L., Anne Gelb, and Justin Hernandez. "A Comparison of Modern Hyperbolic Methods for Semiconductor Device Simulation: NTK Central Scheme Vs. CLAWPACK." VLSI Design 15, no. 4 (January 1, 2002): 721–28. http://dx.doi.org/10.1080/1065514021000012336.

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Two modern hyperbolic methods—a second-order Godunov method in the software package CLAWPACK and the second-order Nessyahu–Tadmor–Kurganov (NTK) central scheme—are compared for simulating an electron shock wave in the classical hydrodynamic model for semiconductor devices.The NTK central scheme, which does not employ Riemann problem solutions, is described in detail. Special attention is paid in both methods to handling the source terms in the hydrodynamic model. CLAWPACK incorporates the source terms by a splitting method, while our version of the NTK scheme is unsplit.
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47

Fliege, Eckhard R. L. "A Reanalysis of 14N Nuclear Quadrupole Coupling and Methyl Internal Rotation in the Rotational Spectra of Monomethyl Oxazoles and Isoxazoles." Zeitschrift für Naturforschung A 45, no. 7 (July 1, 1990): 911–22. http://dx.doi.org/10.1515/zna-1990-0712.

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AbstractPreviously published rotational frequencies of 2-, 4-, and 5-methyl oxazole and of 3- and 5-methyl isoxazole are reanalysed to obtain correct rotational constants (A constants in the first place) on the basis of hypothetically unsplit rotational centre frequencies. With these, r0-structural parameters of the respective methyl group could be determined, thus allowing us to consider the influence of methyl substitution on the 14N-quadrupole coupling tensor and the structural relevance of the internal rotor angle given by torsional analysis.14N nuclear quadrupole hfs and IAM methyl torsional analyses were redone with the correct rotational constants.
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48

IKEBATA, Akio, Yoshihiko MURAOKA, and Feng XIAO. "Multiphase Fluid Simulations on a Multiple GPGPU PC Using Unsplit Time Integration VSIAM3." Progress in Nuclear Science and Technology 2 (October 1, 2011): 491–97. http://dx.doi.org/10.15669/pnst.2.491.

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49

Ma, Youneng, Jinhua Yu, and Yuanyuan Wang. "A novel unsplit perfectly matched layer for the second-order acoustic wave equation." Ultrasonics 54, no. 6 (August 2014): 1568–74. http://dx.doi.org/10.1016/j.ultras.2014.03.016.

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50

Wei, X. K., W. Shao, X. H, Wang, and B. Z. Wang. "Domain Decomposition CN-FDTD with Unsplit-Field PML for Time-Reversed Channel Analysis." Radioengineering 27, no. 2 (June 15, 2018): 469–74. http://dx.doi.org/10.13164/re.2018.0469.

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