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Quantum radio astronomy: Quantum linear solvers for redundant baseline calibration 量子射电天文学:用于冗余基线校准的量子线性求解器
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-02-16 DOI: 10.1016/j.ascom.2024.100803
N. Renaud , P. Rodríguez-Sánchez , J. Hidding , P. Chris Broekema
{"title":"Quantum radio astronomy: Quantum linear solvers for redundant baseline calibration","authors":"N. Renaud ,&nbsp;P. Rodríguez-Sánchez ,&nbsp;J. Hidding ,&nbsp;P. Chris Broekema","doi":"10.1016/j.ascom.2024.100803","DOIUrl":"https://doi.org/10.1016/j.ascom.2024.100803","url":null,"abstract":"<div><p>The computational requirements of future large scale radio telescopes are expected to scale well beyond the capabilities of conventional digital resources. Current and planned telescopes are generally limited in their scientific potential by their ability to efficiently process the vast volumes of generated data. To mitigate this problem, we investigate the viability of emerging quantum computers for radio astronomy applications. In this a paper we demonstrate the potential use of variational quantum linear solvers in Noisy Intermediate Scale Quantum (NISQ) computers and combinatorial solvers in quantum annealers for a radio astronomy calibration pipeline. While we demonstrate that these approaches can lead to satisfying results when integrated in calibration pipelines, we show that current restrictions of quantum hardware limit their applicability and performance.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"47 ","pages":"Article 100803"},"PeriodicalIF":2.5,"publicationDate":"2024-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2213133724000180/pdfft?md5=3a26d6318472c1df477ae7a3d8ccbf11&pid=1-s2.0-S2213133724000180-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139915124","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Improvement of pulsars detection using dataset balancing methods and symbolic classification ensemble 利用数据集平衡方法和符号分类组合改进脉冲星探测工作
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-02-14 DOI: 10.1016/j.ascom.2024.100801
N. Anđelić
{"title":"Improvement of pulsars detection using dataset balancing methods and symbolic classification ensemble","authors":"N. Anđelić","doi":"10.1016/j.ascom.2024.100801","DOIUrl":"https://doi.org/10.1016/j.ascom.2024.100801","url":null,"abstract":"<div><p>Highly accurate detection of pulsars is mandatory. With the application of machine learning (ML) algorithms, the detection of pulsars can certainly be improved if the dataset is balanced. In this paper, the publicly available dataset (HTRU2) is highly imbalanced so various balancing methods were applied. The balanced dataset was used in genetic programming symbolic classifier (GPSC) to obtain symbolic expressions (SEs) that can detect pulsars with high classification accuracy. To find the optimal combination of GPSC hyperparameters the random hyperparameter search (RHS) method was developed and applied. The GPSC was trained using 5-fold cross-validation so after each training a total of 5 SEs were obtained. The best set of SEs are selected based on their classification performance and all of them are applied on the original dataset. The best classification accuracy (ACC), the area under receiver operating characteristic (AUC), precision, recall, and f1-score were achieved in the case of the dataset balanced with the AllKNN method i.e. all mean evaluation metric values are equal to 0.995. The ensemble consisted of 25 SEs that achieved the <span><math><mrow><mi>A</mi><mi>C</mi><mi>C</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>978</mn></mrow></math></span>, <span><math><mrow><mi>A</mi><mi>U</mi><mi>C</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>9452</mn></mrow></math></span> , <span><math><mrow><mi>P</mi><mi>r</mi><mi>e</mi><mi>c</mi><mi>i</mi><mi>s</mi><mi>i</mi><mi>o</mi><mi>n</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>905</mn></mrow></math></span>, <span><math><mrow><mi>R</mi><mi>e</mi><mi>c</mi><mi>a</mi><mi>l</mi><mi>l</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>9963</mn></mrow></math></span>, and <span><math><mrow><mi>F</mi><mn>1</mn><mo>−</mo><mi>S</mi><mi>c</mi><mi>o</mi><mi>r</mi><mi>e</mi><mo>=</mo><mn>0</mn><mo>.</mo><mn>94877</mn></mrow></math></span>, on the original dataset.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"47 ","pages":"Article 100801"},"PeriodicalIF":2.5,"publicationDate":"2024-02-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139743184","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Deep learning and quantum algorithms approach to investigating the feasibility of wormholes: A review 研究虫洞可行性的深度学习和量子算法方法:综述
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-02-09 DOI: 10.1016/j.ascom.2024.100802
Wahyu Rahmaniar , B. Ramzan , Alfian Ma'arif
{"title":"Deep learning and quantum algorithms approach to investigating the feasibility of wormholes: A review","authors":"Wahyu Rahmaniar ,&nbsp;B. Ramzan ,&nbsp;Alfian Ma'arif","doi":"10.1016/j.ascom.2024.100802","DOIUrl":"https://doi.org/10.1016/j.ascom.2024.100802","url":null,"abstract":"<div><p>Wormholes, hypothetical structures connecting distant regions of spacetime, have long captured the imagination of scientists and science fiction fans alike. Wormholes are a complex phenomenon with challenges that require innovative approaches and interdisciplinary investigations. In this review, we investigate the potential of deep learning and quantum algorithms to explain the implications of wormholes as an alternative to traditional analytical methods of this phenomenon. A comprehensive analysis of the current understanding of wormholes is elaborated to discuss its theoretical foundations and limitations further. Next, deep learning techniques and quantum algorithms are examined for their application in the context of wormhole research. Previous approaches and findings were discussed to evaluate the effectiveness of these computational techniques in unraveling the mysteries surrounding wormholes. Our review is expected to provide new perspectives for future research. Emphasizes the synergistic potential of deep learning and quantum algorithms in advancing our understanding of wormholes and their existence as interesting shortcuts in spacetime.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"47 ","pages":"Article 100802"},"PeriodicalIF":2.5,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139737963","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Observational constraints on Hubble parameter in Sáez Ballester theory 对 Sáez Ballester 理论中哈勃参数的观测约束
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-02-08 DOI: 10.1016/j.ascom.2024.100800
J.K. Singh , H. Balhara , Shaily , T.Q. Do , J. Jena
{"title":"Observational constraints on Hubble parameter in Sáez Ballester theory","authors":"J.K. Singh ,&nbsp;H. Balhara ,&nbsp;Shaily ,&nbsp;T.Q. Do ,&nbsp;J. Jena","doi":"10.1016/j.ascom.2024.100800","DOIUrl":"https://doi.org/10.1016/j.ascom.2024.100800","url":null,"abstract":"<div><p>We study a dark energy model in the background of a spatially homogeneous and isotropic Friedmann-Lema<span><math><mover><mrow><mi>ı</mi></mrow><mrow><mo>ˆ</mo></mrow></mover></math></span>tre-Robertson-Walker (FLRW) space–time in Sáez Ballester’s theory of gravity (Saez and Ballester, 1986; Saez, 1983). We employ a special law of variation for the Hubble parameter proposed by Bermann (1983) to create a specific model in this gravity. The values of Hubble parameter <span><math><mi>H</mi></math></span> and the deceleration parameter <span><math><mi>q</mi></math></span> have been constrained by using the <span><math><mrow><mi>H</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math></span>, <span><math><mrow><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi></mrow></math></span>, and the joint of <span><math><mrow><mi>H</mi><mrow><mo>(</mo><mi>z</mi><mo>)</mo></mrow></mrow></math></span> and <span><math><mrow><mi>P</mi><mi>a</mi><mi>n</mi><mi>t</mi><mi>h</mi><mi>e</mi><mi>o</mi><mi>n</mi></mrow></math></span> datasets. The physical features of the model have been discussed, and the obtained results have been found consistent according to the recent observational datasets. In addition, we find that our model represents the quintessence dark energy model in the late times at low redshift. The scalar field increases infinitely in infinite time.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"47 ","pages":"Article 100800"},"PeriodicalIF":2.5,"publicationDate":"2024-02-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139726612","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A fast inversion method of parameters for contact binaries based on differential evolution 基于微分演化的接触双星参数快速反演法
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-02-07 DOI: 10.1016/j.ascom.2024.100799
X. Zeng , J. Song , S. Zheng , G. Xu , S. Zeng , Y. Wang , A. Esamdin , Y. Huang , S. Xia , J. Huang
{"title":"A fast inversion method of parameters for contact binaries based on differential evolution","authors":"X. Zeng ,&nbsp;J. Song ,&nbsp;S. Zheng ,&nbsp;G. Xu ,&nbsp;S. Zeng ,&nbsp;Y. Wang ,&nbsp;A. Esamdin ,&nbsp;Y. Huang ,&nbsp;S. Xia ,&nbsp;J. Huang","doi":"10.1016/j.ascom.2024.100799","DOIUrl":"https://doi.org/10.1016/j.ascom.2024.100799","url":null,"abstract":"<div><p>With the development of modern astronomical observation techniques and contact binary research, a large number of light curves of contact binaries have been published, and it has become a challenge to quickly derive the basic physical parameters of contact binaries from their light curves. This article presents a neural network (NN) based on the differential evolution intelligent optimization algorithm to infer the fundamental physical parameters of contact binaries from their light curve. Based on a large dataset of light curves and parameter data generated by Phoebe, a NN mapping model is established, while Differential Evolution (DE) and Markov Chain Monte Carlo (MCMC) algorithms are used to find reasonable parameter combinations, respectively. The experiments show that the parameter inversion speed of the DE algorithm is approximately 50% faster than that of the MCMC algorithm, while guaranteeing a parameter accuracy at least consistent with the those of MCMC algorithm.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"47 ","pages":"Article 100799"},"PeriodicalIF":2.5,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139737964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Quantum radio astronomy: Data encodings and quantum image processing 量子射电天文学:数据编码和量子图像处理
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-02-07 DOI: 10.1016/j.ascom.2024.100796
T. Brunet , E. Tolley , S. Corda , R. Ilic , P.C. Broekema , J.-P. Kneib
{"title":"Quantum radio astronomy: Data encodings and quantum image processing","authors":"T. Brunet ,&nbsp;E. Tolley ,&nbsp;S. Corda ,&nbsp;R. Ilic ,&nbsp;P.C. Broekema ,&nbsp;J.-P. Kneib","doi":"10.1016/j.ascom.2024.100796","DOIUrl":"https://doi.org/10.1016/j.ascom.2024.100796","url":null,"abstract":"<div><p>We explore applications of quantum computing for radio interferometry and astronomy using recent developments in quantum image processing. We evaluate the suitability of different quantum image representations using a toy quantum computing image reconstruction pipeline, and compare its performance to the classical computing counterpart. For identifying and locating bright radio sources, quantum computing can offer an exponential speedup over classical algorithms, even when accounting for data encoding cost and repeated circuit evaluations. We also propose a novel variational quantum computing algorithm for self-calibration of interferometer visibilities, and discuss future developments and research that would be necessary to make quantum computing for radio astronomy a reality.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"47 ","pages":"Article 100796"},"PeriodicalIF":2.5,"publicationDate":"2024-02-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2213133724000118/pdfft?md5=311dc02cdf8dcd4217857e63f6bc644c&pid=1-s2.0-S2213133724000118-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139993439","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Analysis of chiral oxirane molecules in preparation for next generation telescopes: A review, new analysis, & a chiral molecule database 分析手性环氧乙烷分子,为下一代望远镜做准备:回顾、新分析和手性分子数据库
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-01-01 DOI: 10.1016/j.ascom.2024.100791
C.D. Tremblay , R.D. Amos , R. Kobayashi
{"title":"Analysis of chiral oxirane molecules in preparation for next generation telescopes: A review, new analysis, & a chiral molecule database","authors":"C.D. Tremblay ,&nbsp;R.D. Amos ,&nbsp;R. Kobayashi","doi":"10.1016/j.ascom.2024.100791","DOIUrl":"https://doi.org/10.1016/j.ascom.2024.100791","url":null,"abstract":"<div><p>Human biology has a preference for left-handed chiral molecules and an outstanding question is if this is imposed through astrophysical origins. We aim to evaluate the known information about chiral molecules within astrophysical and astrochemical databases, evaluate chemical modeling accuracy, and use high-level CCSD(T) calculations to characterize propylene oxide and other oxirane variants. By comparing these computational values with past laboratory experiments, we find a 99.9% similarity. We also have put together a new database dedicated to chiral molecules and variants of chiral molecules to assist in answering this question.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"46 ","pages":"Article 100791"},"PeriodicalIF":2.5,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2213133724000064/pdfft?md5=ca03ae7dc00b9fc4f0d3931b25d248a0&pid=1-s2.0-S2213133724000064-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139709989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Using deep learning methods for IACT data analysis in gamma-ray astronomy: A review 在伽马射线天文学中使用深度学习方法进行 IACT 数据分析:综述
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-01-01 DOI: 10.1016/j.ascom.2024.100793
A. Demichev, A. Kryukov
{"title":"Using deep learning methods for IACT data analysis in gamma-ray astronomy: A review","authors":"A. Demichev,&nbsp;A. Kryukov","doi":"10.1016/j.ascom.2024.100793","DOIUrl":"10.1016/j.ascom.2024.100793","url":null,"abstract":"<div><p>Imaging Atmospheric Cherenkov Telescope (IACT) capture images of extensive air shower (EAS) generated by gamma rays and cosmic rays (charged particles) as they interact with the atmosphere. The much more frequent charged particle events form the main background in the search for gamma-ray sources, and therefore the success of IACT depends to a large extent on the ability to distinguish between these two types of events. A conclusion about the properties of a primary high-energy particle can be drawn from the images of the EAS which it initiated, registered by the telescope camera. In addition to the classification (gamma ray or charged particle), other properties such as energy and direction of arrival (DOA) need to be evaluated. Such EAS images can be analyzed using both traditional methods and deep learning methods based on artificial neural networks. This review aims to summarize the most common deep learning methods that are used to analyze the data collected with the help of the IACTs, including results obtained by the authors of this review, as well as provide references to original works for further in-depth study.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"46 ","pages":"Article 100793"},"PeriodicalIF":2.5,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2213133724000088/pdfft?md5=c5dbba562f158122c3a6f5b136f7d3da&pid=1-s2.0-S2213133724000088-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139560964","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cosmic analysis of a model in higher-order gravity theory 高阶引力理论模型的宇宙分析
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-01-01 DOI: 10.1016/j.ascom.2024.100790
J.K. Singh, Shaily, Harshna Balhara, Kazuharu Bamba, J. Jena
{"title":"Cosmic analysis of a model in higher-order gravity theory","authors":"J.K. Singh,&nbsp;Shaily,&nbsp;Harshna Balhara,&nbsp;Kazuharu Bamba,&nbsp;J. Jena","doi":"10.1016/j.ascom.2024.100790","DOIUrl":"10.1016/j.ascom.2024.100790","url":null,"abstract":"<div><p>The late-time cosmic acceleration is investigated in modified gravity theory with higher-order curvature terms of the Ricci scalar and the Gauss–Bonnet invariant. The gravitational field equation is analyzed with an appropriate parameterization of the Hubble parameter and the cosmological constraints on model parameters are derived by using the Hubble, Pantheon, and their joint dataset. It is demonstrated that the best-fit values of the model parameters are in close agreement with the recent observations. Moreover, it is shown that the deceleration parameter transits from the decelerating to an accelerating phase in the late-time universe and that the equation of state parameter converges to the quintessence region and the accelerated expansion of the universe is realized. Furthermore, the perturbation analysis has been performed concerning the Hubble parameter and the energy density to examine the stability conditions of the model under the observational constraints. The energy conditions, the statefinder diagnostic, and the description of a scalar field theory are also investigated.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"46 ","pages":"Article 100790"},"PeriodicalIF":2.5,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2213133724000052/pdfft?md5=af1fab038ee96b5b6a3a76ee9d949e95&pid=1-s2.0-S2213133724000052-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139581990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and uniqueness of solution to the system of integral equations in the planar Earth, Sun and satellite system 平面地球、太阳和卫星系统积分方程组解的存在性和唯一性
IF 2.5 4区 物理与天体物理
Astronomy and Computing Pub Date : 2024-01-01 DOI: 10.1016/j.ascom.2023.100785
Kumari Ranjana , M. Shahbaz Ullah , M. Javed Idrisi
{"title":"Existence and uniqueness of solution to the system of integral equations in the planar Earth, Sun and satellite system","authors":"Kumari Ranjana ,&nbsp;M. Shahbaz Ullah ,&nbsp;M. Javed Idrisi","doi":"10.1016/j.ascom.2023.100785","DOIUrl":"10.1016/j.ascom.2023.100785","url":null,"abstract":"<div><p>This manuscript delves into the exploration of the existence and uniqueness of the <span><math><mi>n</mi></math></span>th level approximation within the context of the inertial restricted three-body problem. In this scenario, two massive celestial bodies, namely Earth and the Sun, are held stationary along a straight line, while a less massive object serves as an artificial satellite. Within the manuscript, we have uncovered solutions expressed in terms of quadratures, infinite series, and transcendental functions. Our investigation employs a system of integral equations to address the challenge posed by these two immobile centers. The process initiates with the derivation of the equations of motion for the Earth, Sun, and satellite system, all considered within the inertial coordinate system. Subsequently, we formulate the <span><math><mi>n</mi></math></span>th level approximation and present its solution for the linear integral equations system. We also meticulously determine the conditions necessary for the solution to converge. Additionally, we engage in an in-depth discussion regarding the existence of such a solution. Moreover, the manuscript firmly establishes the uniqueness of this solution, assuring its singularity. Furthermore, we undertake a rigorous analysis to quantify the error associated with the <span><math><mi>n</mi></math></span>th level approximated solution.</p></div>","PeriodicalId":48757,"journal":{"name":"Astronomy and Computing","volume":"46 ","pages":"Article 100785"},"PeriodicalIF":2.5,"publicationDate":"2024-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S2213133723001002/pdfft?md5=fb7c5a4bb422ecb83914fb2ce68b0e1b&pid=1-s2.0-S2213133723001002-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139055792","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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