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Modified Laguerre spectral and pseudospectral methods for nonlinear partial differential equations in multiple dimensions
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作者 徐承龙 郭本瑜 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2008年第3期311-331,共21页
The Laguerre spectral and pseudospectral methods are investigated for multidimensional nonlinear partial differential equations. Some results on the modified Laguerre orthogonal approximation and interpolation are est... The Laguerre spectral and pseudospectral methods are investigated for multidimensional nonlinear partial differential equations. Some results on the modified Laguerre orthogonal approximation and interpolation are established, which play important roles in the related numerical methods for unbounded domains. As an example, the modified Laguerre spectral and pseudospectral methods are proposed for two-dimensional Logistic equation. The stability and convergence of the suggested schemes are proved. Numerical results demonstrate the high accuracy of these approaches. 展开更多
关键词 modified Laguerre orthogonal approximation and interpolation multiple dimensions spectral and pseudospectral methods nonlinear partial differential equations
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Multiple Dimensions Convey Design and Application in CIS based on CG Technique
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作者 Weijun Yu 《International Journal of Technology Management》 2015年第1期97-99,共3页
In the art design field, CG technique has been applied in many aspects like third dimension graphical display, human-computer interaction, virtual reality, three-dimensional cartoon and so on. In the meanwhile, the ap... In the art design field, CG technique has been applied in many aspects like third dimension graphical display, human-computer interaction, virtual reality, three-dimensional cartoon and so on. In the meanwhile, the applications reflected in art design was appeared in computer assisted convey design, bothway or multi-ways interactive convey design and multimedia convey design. Computer assisted convey design included the application of the most CG technique in visual. Interactive convey design reflected interaction, which was the most obvious character of CG. However, multimedia convey design was used not only in CG technique, but also in digital media techniaue. 展开更多
关键词 CG technique Human-computer interaction multiple dimensions Convey design CIS
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Multiple dimensions of urban design development from a practice perspective:A case study of an institute in Nanjing 被引量:5
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作者 Dongqing Han Yacheng Song +2 位作者 Enqi Wang Hua Liu Rong Fang 《Frontiers of Architectural Research》 CSCD 2021年第1期79-91,共13页
The rapid urbanization process in China has promoted the active state of urban design practice.In the process of solving complex problems,the practical scope of urban design has gradually expanded.This paper took a de... The rapid urbanization process in China has promoted the active state of urban design practice.In the process of solving complex problems,the practical scope of urban design has gradually expanded.This paper took a design institution in Nanjing as a case study and sorted the trends in design project types and themes over the past 20 years,which presented a partial and diverse state of evolution in urban design practice.Concept,technology and management were extracted as the three main dimensions of cognitive urban design practice development.The relative positions and relationships of different types of urban design work were interpreted through mapping analysis of these three dimensions.This study provided a foundation for the practical orientation of urban design in China and a platform for communication a mong managers,urban design practitioners,scholars of related disciplines,and the public. 展开更多
关键词 Urban design Practice perspective multiple dimensions CONCEPT Technology Management
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Multidimensional and multiscenario assessment for cropland supply-demand matches and sustainable development zoning
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作者 JIANG Zixin LI Sinan +4 位作者 WANG Zhennan ZHU Congmou CHEN Yun WANG Ke ZHANG Jing 《Journal of Geographical Sciences》 2025年第12期2536-2558,共23页
With the rapid advancement of global socio-economy and mounting environmental and ecological risks,China faces challenges in ensuring its food security and sustainable development,which further affects global food tra... With the rapid advancement of global socio-economy and mounting environmental and ecological risks,China faces challenges in ensuring its food security and sustainable development,which further affects global food trade and security.This study aims to identify the supply-demand match between cropland supply and food consumption and to evaluate sustainable cropland zoning in multiple scenarios and multidimensional assessments.This study uses ecological,environmental and socioeconomic data to quantify diverse food demand patterns into corresponding cropland demands,further mapping the spatio-temporal characteristics of China's cropland supply-demand matches.By utilizing shared socioeconomic pathways(SSPs),this study delineates multiple scenarios to determine the supply-demand of cropland across different Chinese regions from 2030 to 2050.On the basis of ecological,geographical and socioeconomic datasets,this study constructs a multidimensional and multiscenario framework for sustainable agricultural zoning from 2030 to 2050 and proposes a future sustainable agricultural development strategy for each region in different periods.The results indicate that between 2002 and 2022,there was a significant gap between cropland supply and demand.Moreover,an obvious spatial mismatch is observed between cropland supply and demand across various Chinese regions.From 2030 to 2050,there is a noticeable shift in the spatial distribution of cropland supply and demand,with the supply-demand match becoming more strained and varying considerably under different development scenarios.With significant differences between different development scenarios,different regions will have to adopt different development strategies at different periods.This study proposes a multiscenario and multidimensional simulation framework for future agricultural sustainable zoning,which aims to provide scientific insights and policy improvements to promote sustainable agricultural development. 展开更多
关键词 agricultural sustainability multiple dimensions supply-demand match multiple scenarios sustainable development assessment
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JACOBI SPECTRAL METHODS FOR MULTIPLE- DIMENSIONAL SINGULAR DIFFERENTIAL EQUATIONS 被引量:2
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作者 Li-Han Wang Ben-yu Guo (Department of Mathematics, Shanghai Normal University, Shanghai 200234, China) 《Journal of Computational Mathematics》 SCIE CSCD 2003年第3期325-338,共14页
Jacobi polynomial approximations in multiple dimensions are investigated. They are applied to numerical solutions of singular differential equations. The convergence analysis and numerical results show their advantages.
关键词 Jacobi approximations multiple dimensions.
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Design of heterojunction with components in different dimensions for electrocatalysis applications 被引量:1
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作者 Qingquan Kong Xuguang An +2 位作者 Jing Zhang Weitang Yao Chenghua Sun 《Frontiers of physics》 SCIE CSCD 2022年第4期55-58,共4页
Searching for high-performance and cost-effective catalysts is of particular importance for the practical electrocatalysis applications.The heterojunctions with components in different dimensions show unique physical ... Searching for high-performance and cost-effective catalysts is of particular importance for the practical electrocatalysis applications.The heterojunctions with components in different dimensions show unique physical and chemical properties,which can offer large space for rational design of electrocatalysts.In this paper,we firstly reviewed recently related works,and then proposed a few perspectives on exploring heterojunction for electrocatalysis applications. 展开更多
关键词 HETEROJUNCTION ELECTROCATALYSIS multiple dimension
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ON NON-ISOTROPIC JACOBI PSEUDOSPECTRAL METHOD 被引量:8
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作者 Benyu Guo Keji Zhang 《Journal of Computational Mathematics》 SCIE EI CSCD 2008年第4期511-535,共25页
In this paper,a non-isotropic Jacobi pseudospectral method is proposed and its appli-cations are considered.Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bernstein-Jackson type ... In this paper,a non-isotropic Jacobi pseudospectral method is proposed and its appli-cations are considered.Some results on the multi-dimensional Jacobi-Gauss type interpolation and the related Bernstein-Jackson type inequalities are established,which play an important role in pseudospectral method.The pseudospectral method is applied to a twodimensional singular problem and a problem on axisymmetric domain.The convergence of proposed schemes is established.Numerical results demonstrate the efficiency of the proposed method. 展开更多
关键词 Jacobi pseudospectral method in multiple dimensions Jacobi-Gauss type inter-polation Bernstein-Jackson type inequalities Singular problem Problem on axisymmetricdomain.
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Geographical patterns and determinants of insect biodiversity in China
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作者 Huizhong Fan Tongyi Liu +5 位作者 Youhua Chen Ziyan Liao Jun Chen Yibo Hu Gexia Qiao Fuwen Wei 《Science China(Life Sciences)》 SCIE CAS CSCD 2024年第6期1255-1265,共11页
Insects play important roles in the maintenance of ecosystem functioning and the provision of livelihoods for millions of people.However,compared with terrestrial vertebrates and angiosperms,such as the giant panda,cr... Insects play important roles in the maintenance of ecosystem functioning and the provision of livelihoods for millions of people.However,compared with terrestrial vertebrates and angiosperms,such as the giant panda,crested ibis,and the metasequoia,insect conservation has not attracted enough attention,and a basic understanding of the geographical biodiversity patterns for major components of insects in China is lacking.Herein,we investigated the geographical distribution of insect biodiversity across multiple dimensions(taxonomic,genetic,and phylogenetic diversity)based on the spatial distribution and molecular DNA sequencing data of insects.Our analysis included 18 orders,360 families,5,275 genera,and 14,115 species of insects.The results revealed that Southwestern and Southeastern China harbored higher insect biodiversity and numerous older lineages,representing a museum,whereas regions located in Northwestern China harbored lower insect biodiversity and younger lineages,serving as an evolutionary cradle.We also observed that mean annual temperature and precipitation had significantly positive effects,whereas altitude had significantly negative effects on insect biodiversity in most cases.Moreover,cultivated vegetation harbored the highest insect taxonomic and phylogenetic diversity,and needleleaf and broadleaf mixed forests harbored the highest insect genetic diversity.These results indicated that human activities may positively contribute to insect spatial diversity on a regional scale.Our study fills a knowledge gap in insect spatial diversity in China.These findings could help guide national-level conservation plans and the post-2020 biodiversity conservation framework. 展开更多
关键词 insect spatial patterns multiple dimensions driving factors vegetation types
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