: A new type hybrid Hermite weighted essentially non-oscillatory ( HWENO ) schemes in the implicit method of lines transpose ( MOL T ) framework is designed for solving one-dimensional linear transport equations and further applied to the Vlasov-Poisson ( VP ) simulations via dimensional splitting. Compared with the WENO-based MOL T method given in J. Comput. Phys . [2016, 327: 337-367], the new proposed hybrid HWENO-based MOL T scheme has two advantages. The first is the HWENO schemes using the stencils narrower than those of the WENO schemes with the same order of accuracy. The second is that the schemes can adapt between the linear scheme and the HWENO scheme automatically. In summary , the hybrid HWENO scheme keeps the simplicity and robustness of the simple WENO scheme , while it has higher efficiency with less numerical errors in smooth regions and less computational costs as well. Benchmark examples are given to demonstrate the robustness and good performance of the proposed scheme.
{"title":"A hybrid HWENO-based method of lines transpose approach for Vlasov simulations","authors":"W. Kaipeng, Jiang Yan, Zhang Mengping","doi":"10.52396/just-2021-0007","DOIUrl":"https://doi.org/10.52396/just-2021-0007","url":null,"abstract":": A new type hybrid Hermite weighted essentially non-oscillatory ( HWENO ) schemes in the implicit method of lines transpose ( MOL T ) framework is designed for solving one-dimensional linear transport equations and further applied to the Vlasov-Poisson ( VP ) simulations via dimensional splitting. Compared with the WENO-based MOL T method given in J. Comput. Phys . [2016, 327: 337-367], the new proposed hybrid HWENO-based MOL T scheme has two advantages. The first is the HWENO schemes using the stencils narrower than those of the WENO schemes with the same order of accuracy. The second is that the schemes can adapt between the linear scheme and the HWENO scheme automatically. In summary , the hybrid HWENO scheme keeps the simplicity and robustness of the simple WENO scheme , while it has higher efficiency with less numerical errors in smooth regions and less computational costs as well. Benchmark examples are given to demonstrate the robustness and good performance of the proposed scheme.","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86381666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Z. Jinxi, Haonan He, Shanyong Wang, Qipeng Sun, Ma Fei, Tianshan Ma
In this paper, we examine firms’ quality and inventory decisions with consumers who behave heterogeneously not only on the product’s valuation (horizontal) but also on the reference price setting (vertical) . Through a three-stage Stackelberg leader-follower model, we derive cost-effective solutions for channel members in two distribution scenarios. Counter-intuitively, the analytical result illustrates that profit-maximizing inventory and quality decisions can be higher when the uncertainty of the market increases because the two-dimensional impacts of market uncertainty on demand are diametrically opposite to each other. Specifically, the vertical uncertainty ( difference in reference effects) has a buffering effect on the aggregate market demand, which is further amplified by loss-aversion behaviors. However, the horizontal uncertainty (heterogeneity of consumer valuation) has a promoting effect on the market demand and induces firms to order more. The numerical result further shows that market demand may not inherit the behavioral bias of individual consumers, leading to an inconsistent relationship between the sensitivity of market demand to gain / loss and consumers’ loss-aversion behaviors. Our findings have implications not only for understanding the stochastic market demand with behaviorally biased consumers but also for determining the channel members’ optimal inventory and quality decisions.
{"title":"Quality and inventory decisions in loss-averse distribution channels considering consumer heterogeneity","authors":"Z. Jinxi, Haonan He, Shanyong Wang, Qipeng Sun, Ma Fei, Tianshan Ma","doi":"10.52396/just-2021-0056","DOIUrl":"https://doi.org/10.52396/just-2021-0056","url":null,"abstract":"In this paper, we examine firms’ quality and inventory decisions with consumers who behave heterogeneously not only on the product’s valuation (horizontal) but also on the reference price setting (vertical) . Through a three-stage Stackelberg leader-follower model, we derive cost-effective solutions for channel members in two distribution scenarios. Counter-intuitively, the analytical result illustrates that profit-maximizing inventory and quality decisions can be higher when the uncertainty of the market increases because the two-dimensional impacts of market uncertainty on demand are diametrically opposite to each other. Specifically, the vertical uncertainty ( difference in reference effects) has a buffering effect on the aggregate market demand, which is further amplified by loss-aversion behaviors. However, the horizontal uncertainty (heterogeneity of consumer valuation) has a promoting effect on the market demand and induces firms to order more. The numerical result further shows that market demand may not inherit the behavioral bias of individual consumers, leading to an inconsistent relationship between the sensitivity of market demand to gain / loss and consumers’ loss-aversion behaviors. Our findings have implications not only for understanding the stochastic market demand with behaviorally biased consumers but also for determining the channel members’ optimal inventory and quality decisions.","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89637908","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The integrable mixed coupled nonlinear Schrödinger (MCNLS) equations is studied, which describes the propagation of an optical pulse in a birefringent optical fiber. By the Riemann-Hilbert (RH) approach, the N-soliton solutions of the MCNLS equations can be expressed explicitly when the jump matrix of a constructed RH problem is a 3×3 unit matrix. As a special example, the expression of one soliton and two solitons are displayed explicitly. More generally, as a promotion, an integrable generalized multi-component NLS system with its linear spectral problem is discussed.
{"title":"Riemann-Hilbert approach for a mixed coupled nonlinear Schrödinger equations and its soliton solutions","authors":"Beibei Hu, Zhang Ling, Fangxin Fang, Zhang Ning","doi":"10.52396/just-2021-0059","DOIUrl":"https://doi.org/10.52396/just-2021-0059","url":null,"abstract":"The integrable mixed coupled nonlinear Schrödinger (MCNLS) equations is studied, which describes the propagation of an optical pulse in a birefringent optical fiber. By the Riemann-Hilbert (RH) approach, the N-soliton solutions of the MCNLS equations can be expressed explicitly when the jump matrix of a constructed RH problem is a 3×3 unit matrix. As a special example, the expression of one soliton and two solitons are displayed explicitly. More generally, as a promotion, an integrable generalized multi-component NLS system with its linear spectral problem is discussed.","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2021-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88437530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.3969/J.ISSN.0253-2778.2020.12.005
Tang Li, Chen Yu
{"title":"Lp quantile regression with realized measure","authors":"Tang Li, Chen Yu","doi":"10.3969/J.ISSN.0253-2778.2020.12.005","DOIUrl":"https://doi.org/10.3969/J.ISSN.0253-2778.2020.12.005","url":null,"abstract":"","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74618650","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.3969/J.ISSN.0253-2778.2020.12.006
Hea-Kyung Yu, Wu Yue, Zheng Zemin, Wu Jie
{"title":"Heterogeneous causal inference of corporate profitability using two-scale distributional nearest neighbor estimation","authors":"Hea-Kyung Yu, Wu Yue, Zheng Zemin, Wu Jie","doi":"10.3969/J.ISSN.0253-2778.2020.12.006","DOIUrl":"https://doi.org/10.3969/J.ISSN.0253-2778.2020.12.006","url":null,"abstract":"","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88781182","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.3969/J.ISSN.0253-2778.2020.12.003
Li Huicong, Fu Xiaoming
{"title":"Anisotropic surface meshing using locally isometric embedding","authors":"Li Huicong, Fu Xiaoming","doi":"10.3969/J.ISSN.0253-2778.2020.12.003","DOIUrl":"https://doi.org/10.3969/J.ISSN.0253-2778.2020.12.003","url":null,"abstract":"","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77105328","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.3969/J.ISSN.0253-2778.2020.12.004
Guan Jinrui, Feng Yuehua
{"title":"A novel linear iteration method for M-matrix algebraic Riccati equations","authors":"Guan Jinrui, Feng Yuehua","doi":"10.3969/J.ISSN.0253-2778.2020.12.004","DOIUrl":"https://doi.org/10.3969/J.ISSN.0253-2778.2020.12.004","url":null,"abstract":"","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73150032","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.3969/J.ISSN.0253-2778.2020.12.002
Guihong Lin, Liu Guijian, Liu Yuan
{"title":"Progress in the research of trace elements in sapropelic coal of China","authors":"Guihong Lin, Liu Guijian, Liu Yuan","doi":"10.3969/J.ISSN.0253-2778.2020.12.002","DOIUrl":"https://doi.org/10.3969/J.ISSN.0253-2778.2020.12.002","url":null,"abstract":"","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84461685","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2020-12-30DOI: 10.3969/J.ISSN.0253-2778.2020.12.007
Cai Yifu, Lin Shu, Liu Junyu, Sun Jiarui
{"title":"Quasi-normal modes and holographic renormalization of holographic preheating","authors":"Cai Yifu, Lin Shu, Liu Junyu, Sun Jiarui","doi":"10.3969/J.ISSN.0253-2778.2020.12.007","DOIUrl":"https://doi.org/10.3969/J.ISSN.0253-2778.2020.12.007","url":null,"abstract":"","PeriodicalId":17548,"journal":{"name":"Journal of University of Science and Technology of China","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2020-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86297368","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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