Journal articles: 'Numerical Exploration'

1

Papadakis, K. E. "Numerical Exploration of Chermnykh’s Problem." Astrophysics and Space Science 299, no. 1 (2005): 67–81. http://dx.doi.org/10.1007/s10509-005-3070-x.

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Sicardy, Bruno. "Numerical exploration of planetary arc dynamics." Icarus 89, no. 2 (1991): 197–219. http://dx.doi.org/10.1016/0019-1035(91)90174-r.

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LAFITTE, P., and C. MASCIA. "NUMERICAL EXPLORATION OF A FORWARD–BACKWARD DIFFUSION EQUATION." Mathematical Models and Methods in Applied Sciences 22, no. 06 (2012): 1250004. http://dx.doi.org/10.1142/s0218202512500042.

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We analyze numerically a forward–backward diffusion equation with a cubic-like diffusion function — emerging in the framework of phase transitions modeling — and its "entropy" formulation determined by considering it as the singular limit of a third-order pseudo-parabolic equation. Precisely, we propose schemes for both the second- and the third-order equations, we discuss the analytical properties of their semi-discrete counterparts and we compare the numerical results in the case of initial data of Riemann type, showing strengths and flaws of the two approaches, the main emphasis being given to the propagation of transition interfaces.

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Saha, S., and D. Chakraborty. "Numerical exploration of starting process in supersonic nozzle." Aeronautical Journal 111, no. 1115 (2007): 51–58. http://dx.doi.org/10.1017/s0001924000001755.

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Abstract The starting process in a supersonic nozzle is numerically simulated. The Navier Stokes equations, in axisymmetric form, are solved using a higher order spatial and temporal accurate scheme. Good comparisons between experimental and numerical values of various flow parameters form the basis of further analysis. The insight of the starting process in the nozzle, namely, the movement of primary and secondary shocks and contact discontinuity, has been obtained through analysis of various flow parameters. It has been observed that the inviscid phenomenon is more predominant in the flow development process. Parametric studies have been carried out to determine the effect of nozzle divergence angle on the starting process.

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Verheylewegen, E., B. Noyelles, and A. Lemaitre. "A numerical exploration of Miranda's dynamical history." Monthly Notices of the Royal Astronomical Society 435, no. 2 (2013): 1776–87. http://dx.doi.org/10.1093/mnras/stt1415.

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Dossal, Charles, Gabriel Peyré, and Jalal Fadili. "A numerical exploration of compressed sampling recovery." Linear Algebra and its Applications 432, no. 7 (2010): 1663–79. http://dx.doi.org/10.1016/j.laa.2009.11.022.

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Fetter, Hans L. "Numerical exploration of a hexagonal string billiard." Physica D: Nonlinear Phenomena 241, no. 8 (2012): 830–46. http://dx.doi.org/10.1016/j.physd.2012.01.009.

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Barrabés, E., J. M. Cors, and G. R. Hall. "Numerical Exploration of the Limit Ring Problem." Qualitative Theory of Dynamical Systems 12, no. 1 (2012): 25–52. http://dx.doi.org/10.1007/s12346-012-0082-0.

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FITZPATRICK, BEN G. "NUMERICAL ANALYSIS AND SIMULATION OF RESOURCE-EXPLORATION MODELS." Natural Resource Modeling 18, no. 3 (2008): 261–79. http://dx.doi.org/10.1111/j.1939-7445.2005.tb00158.x.

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Dharavath, Malsur, P. Manna, and Debasis Chakraborty. "Numerical exploration of dissimilar supersonic coaxial jets mixing." Acta Astronautica 111 (June 2015): 308–16. http://dx.doi.org/10.1016/j.actaastro.2015.03.001.

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Batle, J., A. R. Plastino, M. Casas, and A. Plastino. "Conditionalq-entropies and quantum separability: a numerical exploration." Journal of Physics A: Mathematical and General 35, no. 48 (2002): 10311–24. http://dx.doi.org/10.1088/0305-4470/35/48/307.

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Eastland, Grant, and Peter J. Curry. "Numerical exploration of acoustic dipole helical wave generation." Journal of the Acoustical Society of America 152, no. 4 (2022): A119. http://dx.doi.org/10.1121/10.0015741.

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The focus of this talk is on acoustic helical waves, which are a type of wave that transmits phase information across a section of the plane linearly about the azimuth and can transfer angular momentum via the axial phase profile and have recently been applied to navigation and communications systems. A phased array of four crossed circular baffled transducers each producing a pressure field 90° out of phase adjacent to one another are used to create the pressure field. The far field pressure is determined utilizing a paraxial ray approximation for ideal sources but applied to the more complex conceptualization. The construction is effectively two perpendicular dipoles 90° out of phase and from superposition of the arrangement produce the helical wave. The mathematical model will be summarized and simulated. An interesting approximation of the total field is also given, relating the helical wave to a Bessel beam. Numerical examination of the arrangement is examined with visualizations of the pressure field, and discussion is given regarding transients created when the direction of helix changes.

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Perdiou, A. E., V. V. Markellos, and C. N. Douskos. "THE HILL PROBLEM WITH OBLATE SECONDARY: NUMERICAL EXPLORATION." Earth, Moon, and Planets 97, no. 1-2 (2006): 127–45. http://dx.doi.org/10.1007/s11038-006-9065-y.

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Vincent, Aguda Ekele, Elbaz I. Abouelmagd, Efstathios A. Perdios, and Vassilis S. Kalantonis. "Numerical exploration of the quantized Hill problem dynamics." Chaos, Solitons & Fractals 181 (April 2024): 114688. http://dx.doi.org/10.1016/j.chaos.2024.114688.

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Vázquez-Prada, M., Á. González, J. B. Gómez, and A. F. Pacheco. "Forecasting characteristic earthquakes in a minimalist model." Nonlinear Processes in Geophysics 10, no. 6 (2003): 565–71. http://dx.doi.org/10.5194/npg-10-565-2003.

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Abstract. Using error diagrams, we quantify the forecasting of characteristic-earthquake occurrence in a recently introduced minimalist model. Initially we connect the earthquake alarm at a fixed time after the ocurrence of a characteristic event. The evaluation of this strategy leads to a one-dimensional numerical exploration of the loss function. This first strategy is then refined by considering a classification of the seismic cycles of the model according to the presence, or not, of some factors related to the seismicity observed in the cycle. These factors, statistically speaking, enlarge or shorten the length of the cycles. The independent evaluation of the impact of these factors in the forecast process leads to two-dimensional numerical explorations. Finally, and as a third gradual step in the process of refinement, we combine these factors leading to a three-dimensional exploration. The final improvement in the loss function is about 8.5%.

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Su, Wenchao, Shoudong Huo, and Xuhui Zhou. "Full-Waveform Modeling of Complex Media Seismic Waves for Irregular Topography and Its Application in Metal Ore Exploration." Minerals 14, no. 7 (2024): 664. http://dx.doi.org/10.3390/min14070664.

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Seismic exploration has caught widespread attention in metal ore exploration due to its higher resolution. However, the presence of topography and complex underground structures in metal ore exploration complicates seismic records. Therefore, it is essential to apply a numerical simulation method suitable for metal ore exploration to study the propagation law of seismic waves in shallow and ore-forming zones, providing reliable theoretical support for multi-component seismic techniques. In particular, the presence of topography generates strong-amplitude surface waves, scattered waves, and converted waves, which consistently distort seismic records and affect the imaging accuracy of the metallogenic belts. Additionally, the propagation of seismic waves is also affected by the anisotropy and viscoelasticity of the underground medium. This paper proposes an elastic wave finite-difference numerical simulation method suitable for irregularly topographical and complex medium conditions, named the comprehensive parameter correction method, which implements a free-surface boundary condition based on the concept of medium averaging. It is algorithmically simple and implies no additional computational costs. Meanwhile, the results obtained by this method are highly consistent with those of the spectral element method, demonstrating its accuracy. By presenting several numerical simulation cases and illustrating the impact of topography and medium conditions on seismic records, this paper demonstrates the necessity of considering irregularly topographical and complex medium conditions in metal ore exploration. In conclusion, the numerical simulation method we propose provides a solid theoretical foundation for the application of seismic exploration methods in metal ore exploration.

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Istiqlal, Muhammad, and Wulan Izzatul Himmah. "An Exploration of Self-Directed Learning in Numerical Mathematics." HIKMATUNA: Journal for Integrative Islamic Studies 5, no. 2 (2019): 194–206. http://dx.doi.org/10.28918/hikmatuna.v5i2.2181.

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The present study aims to describe the studentsâ€™ self-directed learning in numerical mathematics. It also explores the weakness of their self-directed learning based on four determined indicators. One out of four indicators will be prioritized for optimization. Grounded in a quantitative descriptive research, a survey was used to collect the data. 56 third-year students taking numerical methods course were recruited to participate. Population technique was employed to establish the research sample. The findings expose that the studentsâ€™ self-directed learning in numerical mathematics was relatively low. The obtained data illustrated that 54% of participants showed low self-directed learning, 45% of them demonstrated moderate self-directed learning, and 2% of the research respondents were noticed to possess high self-directed learning in numerical mathematics. The indicators that received a priority scale for special treatment were the fourth indicator with the value level of 52%, the third indicator of 58%, the second indicator of 63%, and the first indicator of 75% respectively. This study recommends further researchers to escalate studentsâ€™ self-directed learning in numerical mathematics by prioritizing the fourth and third indicators, namely: performing self-confidence, doing assignments independently, and taking decisions and initiatives to deal with experienced problems.

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Ghaleb, Sanaa A. A., Mumtazimah Mohamad, Waheed Ali Hussein Mohammed Ghanem, Arifah Che Alhadi, Abdullah B. Nasser, and Hanan Aldowah. "Improved moth search algorithm with mutation operator for numerical optimization problems." Indonesian Journal of Electrical Engineering and Computer Science 35, no. 2 (2024): 1022. http://dx.doi.org/10.11591/ijeecs.v35.i2.pp1022-1031.

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The moth search algorithm (MSA) is a meta-heuristic optimization technique inspired by moth behavior, has shown remarkable efficacy in solving optimization challenges. However, its poor exploration capability results in an imbalance between exploitation and exploration. To address this issue, this research introduces a new mutation operator to enhance exploration by increasing population diversity. The proposed enhanced moth search algorithm (EMSA) aims to expedite convergence and improve overall robustness by exploring new solutions more effectively. Evaluation on ten benchmark functions demonstrates EMSA's superior exploration capabilities, efficiently tackling optimization problems and yielding more optimal solutions within the search space. Compared to conventional MSA and other established algorithms, EMSA delivers well-balanced results, showcasing its effectiveness in optimizing the search space. In the future, the EMSA could potentially find applications in addressing real-world engineering optimization challenges.

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Sanaa, A. A. Ghaleb Mumtazimah Mohamad Waheed Ali Hussein Mohammed Ghanem Arifah Che Alhadi Abdullah B. Nasser Hanan Aldowah. "Improved moth search algorithm with mutation operator for numerical optimization problems." Indonesian Journal of Electrical Engineering and Computer Science 35, no. 2 (2024): 1022–31. https://doi.org/10.11591/ijeecs.v35.i2.pp1022-1031.

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The moth search algorithm (MSA) is a meta-heuristic optimization technique inspired by moth behavior, has shown remarkable efficacy in solving optimization challenges. However, its poor exploration capability results in an imbalance between exploitation and exploration. To address this issue, this research introduces a new mutation operator to enhance exploration by increasing population diversity. The proposed enhanced moth search algorithm (EMSA) aims to expedite convergence and improve overall robustness by exploring new solutions more effectively. Evaluation on ten benchmark functions demonstrates EMSA's superior exploration capabilities, efficiently tackling optimization problems and yielding more optimal solutions within the search space. Compared to conventional MSA and other established algorithms, EMSA delivers well-balanced results, showcasing its effectiveness in optimizing the search space. In the future, the EMSA could potentially find applications in addressing real-world engineering optimization challenges.

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20

Gao, Yin Han, De Fu Wang, Peng Cheng, Hua Li, and You Kun Wang. "Numerical Exploration on HCCI Combustion Characteristics under NVO Strategy." Advanced Materials Research 614-615 (December 2012): 143–48. http://dx.doi.org/10.4028/www.scientific.net/amr.614-615.143.

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Homogeneous charge compression ignition (HCCI) offers high efficiency and ultra-low NOx and SOOT emissions which raises world-wide attention. A 3-dimensional CFD HCCI model has been established using STAR-CD code for combustion characteristics studies under negative valve overlap (NVO) strategy via an early closure of exhaust valve. The combustion characteristics of HCCI were investigated. Simulation results were in good agreement with the available experimental data. Studies on in-cylinder temperature and OH radical concentration showed almost the same spatial distribution when auto-ignition occurred, OH radical had higher concentration in the field of higher temperature. The φ-T maps showed extraordinarily low NO emissions and no soot emissions under HCCI combustion. It was found that OH concentration rapidly increased after the start of the combustion at 356°CA and NO emissions were formed when the temperature was high enough at 358°CA. Most of CO emissions were converted to CO2 through the main combustion.

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Férey, N. "Exploration by visualization of numerical and textual genomic data." Journal of Biological Physics and Chemistry 4, no. 2 (2002): 102–10. http://dx.doi.org/10.4024/2040407.jbpc.04.02.

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Sriram, A., and Debasis Chakraborty. "Numerical Exploration of Staged Transverse Injection into Confined Supersonic." Defence Science Journal 61, no. 1 (2011): 3–11. http://dx.doi.org/10.14429/dsj.61.20.

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Zambrano, Samuel, Enrico Allaria, Stefano Brugioni, et al. "Numerical and experimental exploration of phase control of chaos." Chaos: An Interdisciplinary Journal of Nonlinear Science 16, no. 1 (2006): 013111. http://dx.doi.org/10.1063/1.2161437.

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Baksmaty, L. O., Y. Liu, U. Landman, N. P. Bigelow, and H. Pu. "Numerical exploration of vortex matter in Bose–Einstein condensates." Mathematics and Computers in Simulation 80, no. 1 (2009): 131–38. http://dx.doi.org/10.1016/j.matcom.2009.06.011.

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Favorskaya, Alena, Igor Petrov, and Nikolay Khokhlov. "Numerical Modeling of Wave Processes During Shelf Seismic Exploration." Procedia Computer Science 96 (2016): 920–29. http://dx.doi.org/10.1016/j.procs.2016.08.271.

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Chun-mei, Zhou, Zhang Ze-jun, Wang Sheng-wei, and Li Xian-fu. "Exploration of numerical simulation on paleo-tectonic stress field." Procedia Earth and Planetary Science 1, no. 1 (2009): 875–81. http://dx.doi.org/10.1016/j.proeps.2009.09.136.

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Papadakis, K. E., and S. S. Kanavos. "Numerical exploration of the photogravitational restricted five-body problem." Astrophysics and Space Science 310, no. 1-2 (2007): 119–30. http://dx.doi.org/10.1007/s10509-007-9486-8.

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Kushner, Harold J., Jichuan Yang, and Dennis Jarvis. "Controlled and optimally controlled multiplexing systems: A numerical exploration." Queueing Systems 20, no. 3-4 (1995): 255–91. http://dx.doi.org/10.1007/bf01245321.

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Giusti, L., S. Petrarca, B. Taglienti, and N. Tantalo. "Numerical exploration of the RI/MOM scheme gauge dependence." Nuclear Physics B - Proceedings Supplements 119 (May 2003): 962–64. http://dx.doi.org/10.1016/s0920-5632(03)01731-6.

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Pellerin, Louise, Jeffrey M. Johnston, and Gerald W. Hohmann. "A numerical evaluation of electromagnetic methods in geothermal exploration." GEOPHYSICS 61, no. 1 (1996): 121–30. http://dx.doi.org/10.1190/1.1443931.

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The size and low resistivity of the clay cap associated with a geothermal system create a target well suited for electromagnetic (EM) methods and also make electrical detection of the underlying geothermal reservoir a challenge. Using 3-D numerical models, we evaluate four EM techniques for use in geothermal exploration: magnetotellurics (MT), controlled‐source audio magnetotellurics (CSAMT), long‐offset time‐domain EM (LOTEM), and short‐offset time‐domain EM (TEM). Our results show that all of these techniques can delineate the clay cap, but none can be said to unequivocally detect the reservoir. We do find, however, that the EM anomaly from a deep, conductive reservoir overlain by a larger, more conductive clay cap is caused by the presence of the electric charge at conductivity boundaries rather than electromagnetic induction. This means that, for detection of the reservoir, methods such as MT, which rely on electric field measurements, are superior to those where only the magnetic field is measured. The anomaly produced by boundary charges at the reservoir is subtle and will be evident only if high‐quality data are collected at closely spaced measurement sites. LOTEM electric field measurements look promising and should be useful when efficient multidimensional tools are developed for LOTEM interpretation. Although CSAMT employs electric field measurements, this method is not recommended for reservoir detection because the anomaly caused by a deep reservoir is obscured by transmitter effects that cannot be isolated reliably. A combination of CSAMT and TEM measurements appears most appropriate for delineation of the clay cap.

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MESEGUER, A., and F. MARQUES. "On the competition between centrifugal and shear instability in spiral Poiseuille flow." Journal of Fluid Mechanics 455 (March 25, 2002): 129–48. http://dx.doi.org/10.1017/s0022112001007315.

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A numerical exploration of the linear stability of a fluid confined between two coaxial cylinders rotating independently and with an imposed axial pressure gradient (spiral Poiseuille flow) is presented. The investigation covers a wide range of experimental parameters, being focused on co-rotation situations. The exploration is made for a wide gap case in order to compare the numerical results with previous experimental data available. The competition between shear and centrifugal instability mechanisms affects the topological features of the neutral stability curves and the critical surface is observed to exhibit zeroth-order discontinuities. These curves may exhibit disconnected branches which lower the critical values of instability considerably. The same phenomenon has been reported in similar fluid flows where shear and centrifugal instability mechanisms compete. The stability analysis of the rigid-body rotation case is studied in detail and the asymptotic critical values are found to be qualitatively similar to those obtained in rotating Hagen-Poiseuille and spiral Couette flows. The results are in good agreement with the previous experimental explorations.

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Gerald, James A., and David Jay Hebert. "Happy Numbers: A Platform for Conjecture and Exploration." Mathematics Teacher: Learning and Teaching PK-12 116, no. 8 (2023): 617–20. http://dx.doi.org/10.5951/mtlt.2022.0258.

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Droghei, Riccardo, Clemente Cesarano, and Artur Ishkhanyan. "Examining the Mathematica algorithm for general Heun function calculation: a comparative analysis." Communications in Applied and Industrial Mathematics 15, no. 2 (2024): 60–68. http://dx.doi.org/10.2478/caim-2024-0013.

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Abstract We investigate the numerical calculation of the general Heun equation using Wolfram Mathematica’s functions, comparing the numerical solutions with hypergeometric and explicit solutions. This exploration sheds light on the efficacy and accuracy of the numerical algorithm implemented in Mathematica for computing Heun functions.

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Bougoffa, Lazhar, Smail Bougouffa, and Ammar Khanfer. "Approximate and Parametric Solutions to SIR Epidemic Model." Axioms 13, no. 3 (2024): 201. http://dx.doi.org/10.3390/axioms13030201.

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This article provides a detailed exploration of the SIR epidemic model, starting with its meticulous formulation. The study employs a novel approach called the upper and lower bounds technique to approximate the solution to the SIR model, providing insights into the dynamic interplay between susceptible S, infected I, and recovered R populations. A new parametric solution to this model has been presented. Applying the Adomian decomposition method (ADM) allows for the attaining of highly accurate approximate solutions in the context of the SIR epidemic model. To validate the accuracy and robustness of the proposed approach, a numerical exploration is conducted, considering a diverse range of experimental parameters. This numerical analysis provides valuable insights into the sensitivity and responsiveness of the SIR epidemic model under varying conditions, contributing to the broader understanding of infectious disease dynamics. The interplay between theoretical formulation and numerical exploration establishes a comprehensive framework for studying the SIR model, with implications for refining our ability to predict and manage the spread of infectious diseases.

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Xia, Dandan, Yulong Yan, and Jing Zhou. "Exploration of Calculation Methods for a Class of Sparse Determinants." Journal of Natural Science Education 1, no. 5 (2024): 46–49. https://doi.org/10.62517/jnse.202417508.

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Claw-shaped determinants, as a type of sparse determinant, have extensive applications in various fields such as matrix theory, numerical computation, physics, engineering, economics, and computer science. To efficiently compute the values of claw-shaped determinants, this paper first categorizes them into four types. Next, using the properties of determinants, the calculation formulas for these four types of claw-shaped determinants are discussed. Finally, numerical examples demonstrate the rationality of these formulas.

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GAUZELLINO, PATRICIA M., JUAN E. SANTOS, and DONGWOO SHEEN. "FREQUENCY DOMAIN WAVE PROPAGATION MODELING IN EXPLORATION SEISMOLOGY." Journal of Computational Acoustics 09, no. 03 (2001): 941–55. http://dx.doi.org/10.1142/s0218396x01000917.

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To evaluate the wavefield for realistic 2-D and 3-D models we used a parallel computer, employing algorithms designed specifically to profit from the parallel architecture. The numerical procedures are iterative domain decomposition algorithms employing a nonconforming finite element, which are used to discretize the viscoacoustic and viscoelastic wave equations describing wave propagation in a porous medium saturated by either a single-phase or a two-phase compressible inviscid fluid and subject to absorbing boundary conditions at the artificial boundaries. Our purpose is to establish the effect of gas, brine or oil and gas-brine or gas-oil pore fluids on seismic velocities. Numerical examples showing the implementation of the algorithm to compute crosshole seismic response of simple 2-D and 3-D hydrocarbon reservoirs are presented.

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Greenhalgh, S., and E. Manukyan. "Seismic Reflection for Hardrock Mineral Exploration: Lessons from Numerical Modeling." Journal of Environmental & Engineering Geophysics 18, no. 4 (2013): 281–96. http://dx.doi.org/10.2113/jeeg18.4.281.

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Sassa, Koichi. "Very first geophysical exploration and numerical simulation of seismic waves." BUTSURI-TANSA(Geophysical Exploration) 73 (2020): 227–35. http://dx.doi.org/10.3124/segj.73.227.

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He, Yizhou, Liyifei Xu, Huiyi Zheng, and Xiaowei Guo. "Numerical Exploration of Lead-Free Inorganic Perovskite Cs2TiBr6 Solar Cell." Journal of Physics: Conference Series 2021, no. 1 (2021): 012069. http://dx.doi.org/10.1088/1742-6596/2021/1/012069.

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马, 杰. "Numerical Simulation of Electrokinetic Effect of Tunnel Advance Water Exploration." Advances in Geosciences 12, no. 04 (2022): 465–82. http://dx.doi.org/10.12677/ag.2022.124048.

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Gaillard, S., D. Fargue, and P. Jamet. "Analytical and numerical exploration of oscillatory convection in porous media." Philosophical Magazine 83, no. 17-18 (2003): 2131–38. http://dx.doi.org/10.1080/0141861031000107944.

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Xian-Zhou, Zhang, Li Xiao-Hong, and Yang Xiang-Dong. "Numerical exploration of coherent excitation in three-level ladder systems." Chinese Physics 16, no. 7 (2007): 1947–51. http://dx.doi.org/10.1088/1009-1963/16/7/023.

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Javed, Afroz, P. Sinha, and Debasis Chakraborty. "Numerical Exploration of Solid Rocket Motor Blast Tube Flow Field." Defence Science Journal 63, no. 6 (2013): 616–21. http://dx.doi.org/10.14429/dsj.63.5763.

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Lepš, Jan. "O. Wildi et L. Orlóci Numerical exploration of community patterns." Folia Geobotanica et Phytotaxonomica 26, no. 3 (1991): 348. http://dx.doi.org/10.1007/bf02912755.

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Sandeep, N., Ali J. Chamkha, and I. L. Animasaun. "Numerical exploration of magnetohydrodynamic nanofluid flow suspended with magnetite nanoparticles." Journal of the Brazilian Society of Mechanical Sciences and Engineering 39, no. 9 (2017): 3635–44. http://dx.doi.org/10.1007/s40430-017-0866-x.

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Ramadhani, Titania, Sugiatno Sugiatno, Agung Hartoyo, and Fredi Ganda Putra. "Exploration of the Numerical Value of One in the Qur'an." INOMATIKA 4, no. 2 (2022): 214–23. http://dx.doi.org/10.35438/inomatika.v4i2.336.

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This article describes the exploration results of the verses of the Qur'an, which contain the concept of monotheism with a numerical value of one. This research started from learning number recognition in class, which still seemed monotonous. Furthermore, the limitations of teaching materials make integrating mathematics learning with Islamic science more difficult. Numbers have an important role in various aspects of life. Al-Qur'an, the main subject taught in Islamic schools, can be used as initial knowledge to support learning mathematics. Therefore, introducing numbers to students must be integrated with Islamic science, especially monotheism in learning at school, to lead students to successful learning and a change in religious awareness. The data collection techniques used are documents such as interpretations of the Qur'an, the Qur'an and their translations, articles, journals, books, or other literature related to mathematics and the Qur'an. The information in this study was derived from search and collection results obtained through the Ministry of Religion's Qur'an application, the Indonesian Qur'an application, and other data in the form of documents. Then, the data analysis technique used to get the numerical value of one in the Qur'an is the Miles & Huberman analysis method combined with Rodriguez modeling and "fadic" system calculations. Based on a combination of analytical theory, 16 verses of the Qur'an contain the concept of monotheism with a numerical value of one from comprehensive exploration, which is 135 verses.

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Nuzuliyah, Wilda Rahmatin, and Annisa Fitri. "Exploration of numerical tafsir ideas on Nadirsyah Hosen's social media." Digital Theory, Culture & Society 1, no. 2 (2023): 117–26. http://dx.doi.org/10.61126/dtcs.v1i2.24.

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Social media, usually used as a medium to communicate with each other, has been transformed into a means/container to express Gus Nadir's ideas about the Qur'an and tafsir. This paper aims to examine Gus Nadir's ideas about numerical tafsir, which deviate from his concern about arbitrary interpretations and tend to be mere matchology on social media. An in-depth analysis of his work entitled "Tafsir Al-Qur’an di Medsos: Mengkaji Makna dan Rahasia Ayat Suci Pada Era Media Sosial" will be conducted, but the author limits the object of study only to the sub- theme entitled "Tafsir Otak Atik Angka". This paper is presented using a descriptive method supplemented by reflection, interpretation, criticism, and comparison as analysis needs. It was found that Gus Nadir, a cleric, and legal activist, expressed his frustration in "Tafsir Otak Atik Angka" as a response to the justification of politicians using the Qur'an. Although Gus Nadir emphasizes in-depth study, he does not elaborate on the relationship between the interpretation of numbers and gratuitous interpretation. Nevertheless, his efforts to reveal the model of numerical interpretation according to the method of scholars must be appreciated, even if it is limited to a short writing in cyberspace.

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李, 民. "The Teaching Exploration of Numerical Methods for Ordinary Differential Equations." Advances in Education 15, no. 02 (2025): 859–67. https://doi.org/10.12677/ae.2025.152320.

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Hu, Xunyu, Xiaohui Li, Feng Yuan, et al. "Numerical Simulation Based Targeting of the Magushan Skarn Cu–Mo Deposit, Middle-Lower Yangtze Metallogenic Belt, China." Minerals 9, no. 10 (2019): 588. http://dx.doi.org/10.3390/min9100588.

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Abstract:

The Magushan Cu–Mo deposit is a skarn deposit within the Nanling–Xuancheng mining district of the Middle-Lower Yangtze River Metallogenic Belt (MLYRMB), China. This study presents the results of a new numerical simulation that models the ore-forming processes that generated the Magushan deposit and enables the identification of unexplored areas that have significant exploration potential under areas covered by thick sedimentary sequences that cannot be easily explored using traditional methods. This study outlines the practical value of numerical simulation in determining the processes that operate during mineral deposit formation and how this knowledge can be used to enhance exploration targeting in areas of known mineralization. Our simulation also links multiple subdisciplines such as heat transfer, pressure, fluid flow, chemical reactions, and material migration. Our simulation allows the modeling of the formation and distribution of garnet, a gangue mineral commonly found within skarn deposits (including within the Magushan deposit). The modeled distribution of garnet matches the distribution of known mineralization as well as delineating areas that may well contain high garnet abundances within and around a concealed intrusion, indicating this area should be considered a prospective target during future mineral exploration. Overall, our study indicates that this type of numerical simulation-based approach to prospectivity modeling is both effective and economical and should be considered an additional tool for future mineral exploration to reduce exploration risks when targeting mineralization in areas with thick and unprospective sedimentary cover sequences.

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Hu, Jingwei, Jian-Guo Liu, Yantong Xie, and Zhennan Zhou. "A structure preserving numerical scheme for Fokker-Planck equations of neuron networks: Numerical analysis and exploration." Journal of Computational Physics 433 (May 2021): 110195. http://dx.doi.org/10.1016/j.jcp.2021.110195.

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Journal articles on the topic 'Numerical Exploration'

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