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A parallel solver framework for fully implicit monolithic fluid-structure interaction
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作者 Yujie Sun Qingshuang Lu Ju Liu 《Acta Mechanica Sinica》 2025年第2期88-115,共28页
We propose a suite of strategies for the parallel solution of fully implicit monolithic fluid-structure interaction(FSI).The solver is based on a modeling approach that uses the velocity and pressure as the primitive ... We propose a suite of strategies for the parallel solution of fully implicit monolithic fluid-structure interaction(FSI).The solver is based on a modeling approach that uses the velocity and pressure as the primitive variables,which offers a bridge between computational fluid dynamics(CFD)and computational structural dynamics.The spatiotemporal discretization leverages the variational multiscale formulation and the generalized-αmethod as a means of providing a robust discrete scheme.In particular,the time integration scheme does not suffer from the overshoot phenomenon and optimally dissipates high-frequency spurious modes in both subproblems of FSI.Based on the chosen fully implicit scheme,we systematically develop a combined suite of nonlinear and linear solver strategies.Invoking a block factorization of the Jacobian matrix,the Newton-Raphson procedure is reduced to solving two smaller linear systems in the multi-corrector stage.The first is of the elliptic type,indicating that the algebraic multigrid method serves as a well-suited option.The second exhibits a two-by-two block structure that is analogous to the system arising in CFD.Inspired by prior studies,the additive Schwarz domain decomposition method and the block-factorization-based preconditioners are invoked to address the linear problem.Since the number of unknowns matches in both subdomains,it is straightforward to balance loads when parallelizing the algorithm for distributed-memory architectures.We use two representative FSI benchmarks to demonstrate the robustness,efficiency,and scalability of the overall FSI solver framework.In particular,it is found that the developed FSI solver is comparable to the CFD solver in several aspects,including fixed-size and isogranular scalability as well as robustness. 展开更多
关键词 Fluid-structure interaction Monolithic coupling implicit time integration Iterative methods Vortex-induced vibration
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Geometry-Enhanced Implicit Function for Detailed Clothed Human Reconstruction With RGB-D Input
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作者 Pengpeng Liu Zhi Zeng +2 位作者 Qisheng Wang Min Chen Guixuan Zhang 《CAAI Transactions on Intelligence Technology》 2025年第3期858-870,共13页
Realistic human reconstruction embraces an extensive range of applications as depth sensors advance.However,current stateof-the-art methods with RGB-D input still suffer from artefacts,such as noisy surfaces,non-human... Realistic human reconstruction embraces an extensive range of applications as depth sensors advance.However,current stateof-the-art methods with RGB-D input still suffer from artefacts,such as noisy surfaces,non-human shapes,and depth ambiguity,especially for the invisible parts.The authors observe the main issue is the lack of geometric semantics without using depth input priors fully.This paper focuses on improving the representation ability of implicit function,exploring an effective method to utilise depth-related semantics effectively and efficiently.The proposed geometry-enhanced implicit function enhances the geometric semantics with the extra voxel-aligned features from point clouds,promoting the completion of missing parts for unseen regions while preserving the local details on the input.For incorporating multi-scale pixel-aligned and voxelaligned features,the authors use the Squeeze-and-Excitation attention to capture and fully use channel interdependencies.For the multi-view reconstruction,the proposed depth-enhanced attention explicitly excites the network to“sense”the geometric structure for a more reasonable feature aggregation.Experiments and results show that our method outperforms current RGB and depth-based SOTA methods on the challenging data from Twindom and Thuman3.0,and achieves a detailed and completed human reconstruction,balancing performance and efficiency well. 展开更多
关键词 deep implicit function depth-enhanced attention geometry-enhanced human reconstruction RGB-D
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Implicit geometry neural network for mesh generation
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作者 Ran XU Hongqiang LYU +4 位作者 Jian YU Chenyu BAO Hongfei WANG Yufei LIU Xuejun LIU 《Chinese Journal of Aeronautics》 2025年第4期91-111,共21页
The accuracy of numerical computation heavily relies on appropriate meshing,whichserves as the foundation for numerical computation.Although adaptive refinement methods areavailable,an adaptive numerical solution is l... The accuracy of numerical computation heavily relies on appropriate meshing,whichserves as the foundation for numerical computation.Although adaptive refinement methods areavailable,an adaptive numerical solution is likely to be ineffective if it originates from a poorly ini-tial mesh.Therefore,it is crucial to generate meshes that accurately capture the geometric features.As an indispensable input in meshing methods,the Mesh Size Function(MSF)determines the qual-ity of the generated mesh.However,the current generation of MSF involves human participation tospecify numerous parameters,leading to difficulties in practical usage.Considering the capacity ofmachine learning to reveal the latent relationships within data,this paper proposes a novel machinelearning method,Implicit Geometry Neural Network(IGNN),for automatic prediction of appro-priate MSFs based on the existing mesh data,enabling the generation of unstructured meshes thatalign precisely with geometric features.IGNN employs the generative adversarial theory to learnthe mapping between the implicit representation of the geometry(Signed Distance Function,SDF)and the corresponding MSF.Experimental results show that the proposed method is capableof automatically generating appropriate meshes and achieving comparable meshing results com-pared to traditional methods.This paper demonstrates the possibility of significantly decreasingthe workload of mesh generation using machine learning techniques,and it is expected to increasethe automation level of mesh generation. 展开更多
关键词 Mesh generation implicit geometry Mesh size function Geometric features Generative adversarial learning
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Implicit Feature Contrastive Learning for Few-Shot Object Detection
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作者 Gang Li Zheng Zhou +6 位作者 Yang Zhang Chuanyun Xu Zihan Ruan Pengfei Lv Ru Wang Xinyu Fan Wei Tan 《Computers, Materials & Continua》 2025年第7期1615-1632,共18页
Although conventional object detection methods achieve high accuracy through extensively annotated datasets,acquiring such large-scale labeled data remains challenging and cost-prohibitive in numerous real-world appli... Although conventional object detection methods achieve high accuracy through extensively annotated datasets,acquiring such large-scale labeled data remains challenging and cost-prohibitive in numerous real-world applications.Few-shot object detection presents a new research idea that aims to localize and classify objects in images using only limited annotated examples.However,the inherent challenge in few-shot object detection lies in the insufficient sample diversity to fully characterize the sample feature distribution,which consequently impacts model performance.Inspired by contrastive learning principles,we propose an Implicit Feature Contrastive Learning(IFCL)module to address this limitation and augment feature diversity for more robust representational learning.This module generates augmented support sample features in a mixed feature space and implicitly contrasts them with query Region of Interest(RoI)features.This approach facilitates more comprehensive learning of both intra-class feature similarity and inter-class feature diversity,thereby enhancing the model’s object classification and localization capabilities.Extensive experiments on PASCAL VOC show that our method achieves a respective improvement of 3.2%,1.8%,and 2.3%on 10-shot of three Novel Sets compared to the baseline model FPD. 展开更多
关键词 Few-shot learning object detection implicit contrastive learning feature mixing feature aggregation
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文本流变中的信仰与权力——中国诗学的隐性规则
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作者 吴承学 《中山大学学报(社会科学版)》 北大核心 2026年第1期24-36,共13页
中国古代文学文本在历史上不断地发生流变。以往对文本流变的历史考察,主要基于文献学、版本学的研究方法,并形成学术通例。但在读者的接受过程中,又出现一些超越学术通例的隐性规则。如果将古代诗歌的阅读、接受与传播行为纳入文学批... 中国古代文学文本在历史上不断地发生流变。以往对文本流变的历史考察,主要基于文献学、版本学的研究方法,并形成学术通例。但在读者的接受过程中,又出现一些超越学术通例的隐性规则。如果将古代诗歌的阅读、接受与传播行为纳入文学批评研究范畴,不难发现,中国古人往往在各类异文中,选择更具审美意趣的文本。读者对于作者归属的接受,存在偏向名家的倾向,权威对文本异文的定夺具有决定性影响力。在文本流动过程中,部分文本的选择实则是道德、政治与意识形态的投射。文本流传与接受中集体认同的“民意”,具有难以扭转的力量。诗歌选本在一定程度上影响了文学史的书写,也作用于文本的流变。古诗文本流变的隐性规则折射出文学信仰与文化权力,本质上是一种中国文学的集体认同。考察文学的集体认同,既有助于理解文献传播与文本流变过程的一些难解问题,也有助于拓展传统文学批评的研究视野。 展开更多
关键词 中国诗学 隐性规则 信仰 权力 集体认同
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方式隐形存在构式的主观义识解
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作者 李曦 《现代外语》 北大核心 2026年第1期24-34,共11页
本文系统探讨了汉语方式隐形存在构式中的主观义识解。研究聚焦事物类与事件类存在构式,论述存在方式隐形后,言者主要通过图式化、话题化、焦点化以及概念转喻等认知机制实现情感、评价、惊讶等主观性意义的识解。这种以识解操作为核心... 本文系统探讨了汉语方式隐形存在构式中的主观义识解。研究聚焦事物类与事件类存在构式,论述存在方式隐形后,言者主要通过图式化、话题化、焦点化以及概念转喻等认知机制实现情感、评价、惊讶等主观性意义的识解。这种以识解操作为核心的语义建构模式,既表明了汉语存在构式具有“形简义丰”的类型学特征,也揭示了汉语高主观性的本质特征。本研究为理解语言表达的动态性与多样性提供了重要的理论洞见和方法论启示。 展开更多
关键词 存在构式 存在方式隐形 认知机制 主观义识解
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基于Implicit Wendroff差分格式的汽车线束导线串扰时域瞬态响应分析 被引量:1
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作者 王天皓 高印寒 +3 位作者 高乐 安占扬 马喜来 杨开宇 《吉林大学学报(工学版)》 EI CAS CSCD 北大核心 2017年第2期392-399,共8页
介绍了一种具有Implicit Wendroff差分格式的时域有限差分法,将其应用于汽车线束导线串扰的时域瞬态响应分析。由于该方法包含了隐式人工粘性项,可在一定程度上削弱由空间坐标离散化而产生的间断解处的非物理性振荡现象,提高了计算结果... 介绍了一种具有Implicit Wendroff差分格式的时域有限差分法,将其应用于汽车线束导线串扰的时域瞬态响应分析。由于该方法包含了隐式人工粘性项,可在一定程度上削弱由空间坐标离散化而产生的间断解处的非物理性振荡现象,提高了计算结果的准确性,同时由于不受稳定性条件的限制,使其计算效率得到大幅度提高。通过应用于非均匀双导体传输线系统和均匀三导体传输线系统的数值实验可知,在保证计算精度的同时,与传统的Leapfrog差分格式和显式Lax-Wendroff差分格式进行对比,其计算效率分别提高了60%和70%左右,明显优于其他两种方法。同时,本文给出了传输线上电压和电流的时空分布三维图,直观地表示出了传输线上电压和电流与时间和空间位置的变化关系。 展开更多
关键词 车辆工程 implicit Wendroff差分格式 串扰 时域瞬态分析
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A-high-order Accuraqcy Implicit Difference Scheme for Solving the Equation of Parabolic Type 被引量:7
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作者 马明书 王肖凤 《Chinese Quarterly Journal of Mathematics》 CSCD 2000年第2期94-97,共4页
In this paper,a implicit difference scheme is proposed for solving the equation of one_dimension parabolic type by undetermined paameters.The stability condition is r=αΔt/Δx 2 1/2 and the truncation error is o(... In this paper,a implicit difference scheme is proposed for solving the equation of one_dimension parabolic type by undetermined paameters.The stability condition is r=αΔt/Δx 2 1/2 and the truncation error is o(Δt 4+Δx 4) It can be easily solved by double sweeping method. 展开更多
关键词 equation of one_dimension parabolic type high_order accuracy implicit difference scheme
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球阀瞬态关闭过程及水锤现象无网格法数值研究
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作者 贾智博 孙一颉 +2 位作者 周子棋 孙中国 席光 《西安交通大学学报》 北大核心 2026年第2期207-217,共11页
针对传统网格法在模拟球阀瞬态关闭过程中存在的网格畸变、数值不稳定及交界面误差等问题,基于移动粒子半隐式法(MPS),提出了一种高精度、稳定压力进/出口边界模型,并对球阀的关闭过程进行了瞬态数值模拟,得到了球阀从全开至全关过程中... 针对传统网格法在模拟球阀瞬态关闭过程中存在的网格畸变、数值不稳定及交界面误差等问题,基于移动粒子半隐式法(MPS),提出了一种高精度、稳定压力进/出口边界模型,并对球阀的关闭过程进行了瞬态数值模拟,得到了球阀从全开至全关过程中进/出口压差、流量系数和流阻系数随开度的变化规律,结合不同开度下的速度场与压力场,揭示了流动分离、涡流生成及水锤现象等非定常流动机理。结果表明:阀门进/出口压差随着阀门开度的减小呈先增大后减小非线性趋势;流量系数在开度大于70°时变化平缓,开度小于70°后急剧下降;流阻系数在开度大于45°时变化缓慢,开度小于45°后显著升高;随着开度不断减小,出口和阀芯流道内形成漩涡并不断扩大,动能耗散加剧;阀前高压区与阀后低压区共存,阀芯内流体接近滞止导致静压堆积;关阀水锤压力表现出先增大后减小的变化趋势,随着关阀时间的延长,最大水锤压力逐渐降低。研究结果可为球阀的设计和优化提供一定的理论支持,对提升管道系统安全性与稳定性具有参考意义。 展开更多
关键词 球阀 瞬态关闭过程 水锤现象 移动粒子半隐式法
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内隐情绪调节的认知神经机制
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作者 高可翔 汤煜尧 +1 位作者 张岳瑶 张丹丹 《心理科学进展》 北大核心 2026年第1期108-122,共15页
内隐情绪调节是个体在无意识监督或不具有明确的情绪调节意图下改变情绪的过程。与外显情绪调节相比,内隐情绪调节对前额叶执行控制系统的依赖度更低。本文在已有的内隐情绪调节二分类基础上,提出了新的三分类理论框架,将内隐情绪调节分... 内隐情绪调节是个体在无意识监督或不具有明确的情绪调节意图下改变情绪的过程。与外显情绪调节相比,内隐情绪调节对前额叶执行控制系统的依赖度更低。本文在已有的内隐情绪调节二分类基础上,提出了新的三分类理论框架,将内隐情绪调节分为:自动化、任务附加型、内隐目标驱动三个内隐情绪调节种类。其中,自动化内隐调节以恐惧消退为代表,依赖腹内侧前额叶直接调控杏仁核;任务附加型调节发生在情绪标签、情绪Stroop等任务中,外侧前额叶通过认知控制系统,在任务执行过程中附带地调节情绪;内隐目标驱动型调节则通过启动或内隐训练,激活内隐情绪调节目标追求,既可借助腹内侧前额叶实现自动化调节,又可在一定条件下调用外侧前额叶的认知控制功能实现受控情绪调节。神经调控研究证实,腹内侧前额叶是内隐情绪调节的关键性因果脑区,其功能增强有望改善抑郁和焦虑患者的内隐情绪调节能力。本文提出的三分类理论框架突出了内隐情绪调节的多样化机制,拓展了情绪调节理论的动态性理解,同时也为情绪障碍患者的临床干预提供了有潜力的新途径。 展开更多
关键词 情绪调节 内隐情绪调节 抑郁 焦虑 神经调控
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隐式神经元表征的大地电磁二维反演
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作者 李昊洋 刘颖 孙剑 《地球物理学报》 北大核心 2026年第1期396-410,共15页
传统线性大地电磁反演方法是一种高效的反演方法,大部分基于梯度法和牛顿法进行迭代,但是仍存在依赖初始模型、容易陷入局部极值等问题.基于监督式深度学习的反演方法虽然可以不依赖初始模型,但是其需要大量的先验信息构建理想的数据集... 传统线性大地电磁反演方法是一种高效的反演方法,大部分基于梯度法和牛顿法进行迭代,但是仍存在依赖初始模型、容易陷入局部极值等问题.基于监督式深度学习的反演方法虽然可以不依赖初始模型,但是其需要大量的先验信息构建理想的数据集.为了提高反演方法的收敛性,我们引入隐式神经元表征建立一种新的反演方法(Implicit Neural Representation Magnetotelluric Inversion, IMTI). IMTI方法利用隐式神经元表征来连续地描述地下电阻率分布,这种方法对初始模型依赖小,并且能够通过深度学习优化算法有效地避免局部极小值的问题.在最优的深度学习参数配置下,IMTI能够提供更接近全局最小值的反演结果,揭示更高分辨率的地下电阻率结构.在本研究中,对大地电磁的理论模型和实测数据进行了反演测试,以验证IMTI方法的有效性.此外,IMTI在处理噪声数据和复杂地质结构时也表现出了良好的稳定性和鲁棒性. 展开更多
关键词 大地电磁 二维反演 隐式神经表征 深度学习
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隐性担保预期与地方融资平台主动债务置换——基于债务恳谈会的经验证据
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作者 倪邦玲 佟岩 +1 位作者 李鑫 夏宁 《现代金融研究》 北大核心 2026年第1期17-30,共14页
本文从地方政府召开债务恳谈会的视角出发,探讨地方政府隐性担保预期对地方融资平台主动债务置换的影响。研究发现,债务恳谈会的召开显著提升地方融资平台主动债务置换水平。机制检验表明,传递地方政府隐性担保意愿和改善融资平台经营... 本文从地方政府召开债务恳谈会的视角出发,探讨地方政府隐性担保预期对地方融资平台主动债务置换的影响。研究发现,债务恳谈会的召开显著提升地方融资平台主动债务置换水平。机制检验表明,传递地方政府隐性担保意愿和改善融资平台经营治理水平是债务恳谈会发挥效应的作用机制。进一步分析发现,债务恳谈会对地方融资平台主动债务置换的提升作用在行政级别较低、流动性风险较高、投融资期限错配程度较大、待偿还债务较多的平台,以及基础设施投资较多、到期债务压力较大、信用环境较差的地区中更明显。此外,召开债务恳谈会对地方融资平台主动债务置换的影响存在行业和地区溢出效应。 展开更多
关键词 债务恳谈会 隐性担保预期 地方融资平台 主动债务置换
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THE IMPLICIT CONTINUITY OF DISCONTINUOUS SYSTEMS
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作者 陆宇平 《Transactions of Nanjing University of Aeronautics and Astronautics》 EI 1995年第2期190-194,共5页
An example is presented to introduce the concept of implicit continuity proposed as contrasted with the explicit continuity.A sufficient and necessary condition of the implicit continuity is given and proved in forms ... An example is presented to introduce the concept of implicit continuity proposed as contrasted with the explicit continuity.A sufficient and necessary condition of the implicit continuity is given and proved in forms of implicit system.This condition also offers the solution of initial values at the points where the dynamic system is discontinuous.Some discussions are contributed to the physical significance of implicit continuity. 展开更多
关键词 CONTINUITY initial conditions implicit systems disconitinuous systems impulsive mode
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基于隐含特征和SIFT方法的SAR图像多尺度配准
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作者 蒙倩颜 闫立誉 +1 位作者 叶俊明 邓云逸 《现代电子技术》 北大核心 2026年第1期54-58,共5页
为改善SAR图像配准过程中特征点分布不均、匹配质量不足等问题,文中提出基于隐含特征和SIFT方法的SAR图像多尺度配准方法。该方法对SAR图像进行极化分解后,使用过Wishart分布方式描述SAR图像相干矩阵梯度,再使用分辨单元1到2方式对SAR图... 为改善SAR图像配准过程中特征点分布不均、匹配质量不足等问题,文中提出基于隐含特征和SIFT方法的SAR图像多尺度配准方法。该方法对SAR图像进行极化分解后,使用过Wishart分布方式描述SAR图像相干矩阵梯度,再使用分辨单元1到2方式对SAR图像Wishart梯度进行描述,得到单级化SAR图像比值梯度,该比值梯度为SAR图像隐含特征,同时使用SIFT方法建立SAR多尺度空间,在该多尺度空间内生成SAR图像的降采样图像,在该降采样图像的基础上,计算单级化SAR图像比值梯度,依据SAR图像隐含特征确定SAR图像特征极值点和特征点主方向后,生成均匀的SAR图像多尺度配准特征描述向量,再通过欧氏距离来描述SAR图像多尺度配准特征描述向量之间的距离,实现SAR图像多尺度配准。实验结果表明:该方法提取SAR图像隐含特征能力较强,可在SAR图像存在缩放和旋转的情况下高质量实现多尺度配准,应用性较好。 展开更多
关键词 隐含特征 SIFT方法 SAR图像 多尺度配准 极化分解 Wishart梯度 特征极值点 描述向量
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Implicit Love and Passionate Love-Contrast the Diction in "Song To Celia" by Ben Jonson and that in "The Canonization" by John Donne
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作者 梅进丽 《海外英语》 2012年第1X期222-223,共2页
Love is a permanent theme in the world's history of literature.With different dictions(choice of words),poets can portray diverse images of love,thus leaving completely distinct impression on the readers' mind... Love is a permanent theme in the world's history of literature.With different dictions(choice of words),poets can portray diverse images of love,thus leaving completely distinct impression on the readers' minds.By analyzing and contrasting the diction in "Song To Celia" by Ben Jonson and that in "The Canonization" by John Donne,this essay aims to illustrate that different dramatic effects could be achieved with different choices of words in creative writing,and diction could be a representative symbol of a poet's writing style. 展开更多
关键词 implicit LOVE passionate LOVE DICTION symbol
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Implicit Knowledge, Explicit Knowledge and Interaction in the College English Teaching
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作者 邹星 《海外英语》 2011年第10X期172-173,共2页
In each act or process of knowledge, all components can be classified into two kinds: tacit (implicit) components and focal (explicit) components. This article, first of all introduces the terms of implicit knowledge,... In each act or process of knowledge, all components can be classified into two kinds: tacit (implicit) components and focal (explicit) components. This article, first of all introduces the terms of implicit knowledge, explicit knowledge and their distinctions in the process of English language learning and then provides interactive instruction design to improve learners' communicative competence. 展开更多
关键词 implicit KNOWLEDGE INTERACTION COMMUNICATIVE COMPETENCE
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Implicit Learning and Explicit Learning in Second Language Vocabulary Acquisition
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作者 宋燕 王帅琪 《海外英语》 2019年第7期240-242,共3页
Implicit and explicit learning strategies of SL vocabulary acquisition are summarized based on precious studies and experiments. It is concluded that implicit learning strategies dolittlehelpto SL vocabulary acquisiti... Implicit and explicit learning strategies of SL vocabulary acquisition are summarized based on precious studies and experiments. It is concluded that implicit learning strategies dolittlehelpto SL vocabulary acquisition, but explicit learning strategies play a very important part in SL vocabulary acquisition. Besides, an assumption is proposed: the more obvious explicit learning is in vocabulary acquisition, the more words learners can acquire. It is hoped that this research has certain implications for SL learners and teaching. 展开更多
关键词 implicit LEARNING EXPLICIT LEARNING SL VOCABULARY ACQUISITION
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地方政府隐性债务化解的进展、问题与对策
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作者 张凯强 《当代经济管理》 北大核心 2026年第2期89-96,共8页
防范化解地方政府债务风险是事关发展与安全、财政可持续运行的重大问题。2024年11月,一揽子债务化解政策的推出,在防范化解地方政府债务风险上取得了阶段性成效。但是,地方政府面临债务总量庞大,隐性债务问题突出;财政收支矛盾尖锐,化... 防范化解地方政府债务风险是事关发展与安全、财政可持续运行的重大问题。2024年11月,一揽子债务化解政策的推出,在防范化解地方政府债务风险上取得了阶段性成效。但是,地方政府面临债务总量庞大,隐性债务问题突出;财政收支矛盾尖锐,化债的增量财政资源不足;融资平台市场化转型困难;金融风险加剧;等等问题。地方政府隐性债务难以化解的制度逻辑为:省以下政府之间及政府部门间的权责不清,地方政府与地方国有企业的职责不分,地方政府隐性债务生成链条长导致债务监管不力,融资平台企业市场化转型困难与政府专项债项目收益低。化解地方政府隐性债务的政策举措有:精准施策,优化债务结构,在经济发展中化债;强力推动融资平台企业实质性转型;以健全专项债券管理机制为基础,建立全口径地方政府债务管理机制;明确各级监管主体,建立地方政府债务管理的全链条监督机制;深化财税体制改革,厘清政府部门与地方国有企业的权责关系,构建防范化解地方债务风险长效机制。 展开更多
关键词 地方政府债务 隐性债务 债务化解 体制机制
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Cahn-Hilliard方程的稳定化半隐格式切比雪夫谱方法
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作者 唐庶娟 罗贤兵 《数学杂志》 2026年第1期49-62,共14页
本文研究了Cahn-Hilliard方程的三种不同的数值格式:半隐式格式,一阶稳定化半隐格式,二阶稳定化半隐格式的问题.利用切比雪夫谱方法进行空间离散,有限差分法对时间离散的方法,得到Cahn-Hilliard方程的数值离散格式在数值实验中,验证了... 本文研究了Cahn-Hilliard方程的三种不同的数值格式:半隐式格式,一阶稳定化半隐格式,二阶稳定化半隐格式的问题.利用切比雪夫谱方法进行空间离散,有限差分法对时间离散的方法,得到Cahn-Hilliard方程的数值离散格式在数值实验中,验证了当数值解达到稳定时,对于不同的稳定化常数S,稳定格式所需时间步长相较于非稳定格式的1000倍.该方法验证了切比雪谱方法求解三种数值格式的有效性. 展开更多
关键词 CAHN-HILLIARD方程 一阶稳定化半隐格式 二阶稳定化半隐格式 半隐格式 切比雪夫谱方法
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A truncated implicit high-order finite-difference scheme combined with boundary conditions 被引量:2
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作者 常锁亮 刘洋 《Applied Geophysics》 SCIE CSCD 2013年第1期53-62,118,共11页
In this paper, first we calculate finite-difference coefficients of implicit finite- difference methods (IFDM) for the first and second-order derivatives on normal grids and first- order derivatives on staggered gri... In this paper, first we calculate finite-difference coefficients of implicit finite- difference methods (IFDM) for the first and second-order derivatives on normal grids and first- order derivatives on staggered grids and find that small coefficients of high-order IFDMs exist. Dispersion analysis demonstrates that omitting these small coefficients can retain approximately the same order accuracy but greatly reduce computational costs. Then, we introduce a mirrorimage symmetric boundary condition to improve IFDMs accuracy and stability and adopt the hybrid absorbing boundary condition (ABC) to reduce unwanted reflections from the model boundary. Last, we give elastic wave modeling examples for homogeneous and heterogeneous models to demonstrate the advantages of the proposed scheme. 展开更多
关键词 implicit finite difference symmetric boundary condition high-order accuracy TRUNCATION absorbing boundary condition staggered grid numerical modeling
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