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Carlson iterating rational approximation and performance analysis of fractional operator with arbitrary order 被引量:9
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作者 何秋燕 余波 袁晓 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第4期66-74,共9页
The performance analysis of the generalized Carlson iterating process,which can realize the rational approximation of fractional operator with arbitrary order,is presented in this paper.The reasons why the generalized... The performance analysis of the generalized Carlson iterating process,which can realize the rational approximation of fractional operator with arbitrary order,is presented in this paper.The reasons why the generalized Carlson iterating function possesses more excellent properties such as self-similarity and exponential symmetry are also explained.K-index,P-index,O-index,and complexity index are introduced to contribute to performance analysis.Considering nine different operational orders and choosing an appropriate rational initial impedance for a certain operational order,these rational approximation impedance functions calculated by the iterating function meet computational rationality,positive reality,and operational validity.Then they are capable of having the operational performance of fractional operators and being physical realization.The approximation performance of the impedance function to the ideal fractional operator and the circuit network complexity are also exhibited. 展开更多
关键词 fractional calculus fractional operator generalized Carlson iterating process approximation error
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TRANSONIC FLOW CALCULATION OF EULER EQUATIONS BY IMPLICIT ITERATING SCHEME WITH FLUX SPLITTING
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作者 Liu Dao-zhi and Zha Ge-chengBeijing University of Aeronautics and Astronautics 《Chinese Journal of Aeronautics》 SCIE EI CAS CSCD 1991年第4期361-368,共8页
Three dimensional Euler equations are solved in the finite volume form with van Leer's flux vector splitting technique. Block matrix is inverted by Gauss-Seidel iteration in two dimensional plane while strongly im... Three dimensional Euler equations are solved in the finite volume form with van Leer's flux vector splitting technique. Block matrix is inverted by Gauss-Seidel iteration in two dimensional plane while strongly implicit alternating sweeping is implemented in the direction of the third dimension. Very rapid convergence rate is obtained with CFL number reaching the order of 100. The memory resources can be greatly saved too. It is verified that the reflection boundary condition can not be used with flux vector splitting since it will produce too large numerical dissipation. The computed flow fields agree well with experimental results. Only one or two grid points are there within the shock transition zone. 展开更多
关键词 TRANSONIC FLOW CALCULATION OF EULER EQUATIONS BY IMPLICIT iterating SCHEME WITH FLUX SPLITTING FLOW
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Iterating with Fuzzy Parameters to Produce Exact Results
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作者 Edwin Eugene Klingman 《Applied Mathematics》 2020年第11期1070-1080,共11页
Iteration problems such as compound interest calculations have well-specified parameters and aim to derive an exact value. Not all problems offer well-specified parameters, even for well-defined dynamic equations;the ... Iteration problems such as compound interest calculations have well-specified parameters and aim to derive an exact value. Not all problems offer well-specified parameters, even for well-defined dynamic equations;the linear “weak field approximation” of general relativity is iteratively equivalent to Einstein’s non-linear field equation, but the exact parameters involved in some applications are unknown. This paper develops a theory based on “fuzzy” parameters that must produce exact results. The problem is analyzed and example calculations are produced. 展开更多
关键词 ITERATION Energy of Motion GRAVITOMAGNETISM Dimensional Analysis Quantum Potential Kinetic Energy
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基于栅元嵌套网格的停堆剂量率方法初步验证及应用
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作者 郑征 夏春梅 +4 位作者 梅其良 解均涵 史涛 高静 王梦琪 《强激光与粒子束》 北大核心 2025年第9期118-124,共7页
停堆剂量率计算分析是核反应堆辐射安全的重要内容。为了分析车载微型移动核电源的停堆剂量率,研究了基于栅元嵌套网格的停堆剂量率计算方法。该方法在严格两步法的计算框架下,对活化光子源的抽样方法进行了改进。通过构建几何简单的包... 停堆剂量率计算分析是核反应堆辐射安全的重要内容。为了分析车载微型移动核电源的停堆剂量率,研究了基于栅元嵌套网格的停堆剂量率计算方法。该方法在严格两步法的计算框架下,对活化光子源的抽样方法进行了改进。通过构建几何简单的包围盒,抽样得到源栅元内的粒子分布,从而提高了抽样效率和精度。在国际热核聚变实验堆(ITER)停堆剂量率基准题中进行了验证,该方法与参考解符合较好。基于该方法开展了兆瓦级车载微型移动核电源Megapower的停堆剂量率分析,计算结果表明热管贯穿端剂量率水平相对较高。该方法可用于反应堆停堆剂量率的计算分析,能够准确评估结构材料活化源及其产生的剂量率,对于反应堆屏蔽设计、维修计划的制定及退役具有重要的参考意义。 展开更多
关键词 停堆剂量率 严格两步法 源粒子抽样 ITER基准题 Megapower
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Local Rate of Convergence in the Functional Limit Theorem for Increments of a Fractional Brownian Motion 被引量:1
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作者 LIU Yonghong DING Ding ZHOU Xia 《数学进展》 北大核心 2025年第1期197-211,共15页
In this paper,we present local functional law of the iterated logarithm for Cs?rg?-Révész type increments of fractional Brownian motion.The results obtained extend works of Gantert[Ann.Probab.,1993,21(2):104... In this paper,we present local functional law of the iterated logarithm for Cs?rg?-Révész type increments of fractional Brownian motion.The results obtained extend works of Gantert[Ann.Probab.,1993,21(2):1045-1049]and Monrad and Rootzén[Probab.Theory Related Fields,1995,101(2):173-192]. 展开更多
关键词 fractional Brownian motion INCREMENT local functional law of the iterated logarithm large deviation small deviation
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Optimal Production Capacity Matching for Blockchain-Enabled Manufacturing Collaboration With the Iterative Double Auction Method 被引量:1
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作者 Ying Chen Feilong Lin +2 位作者 Zhongyu Chen Changbing Tang Cailian Chen 《IEEE/CAA Journal of Automatica Sinica》 2025年第3期550-562,共13页
The increased demand for personalized customization calls for new production modes to enhance collaborations among a wide range of manufacturing practitioners who unnecessarily trust each other.In this article,a block... The increased demand for personalized customization calls for new production modes to enhance collaborations among a wide range of manufacturing practitioners who unnecessarily trust each other.In this article,a blockchain-enabled manufacturing collaboration framework is proposed,with a focus on the production capacity matching problem for blockchainbased peer-to-peer(P2P)collaboration.First,a digital model of production capacity description is built for trustworthy and transparent sharing over the blockchain.Second,an optimization problem is formulated for P2P production capacity matching with objectives to maximize both social welfare and individual benefits of all participants.Third,a feasible solution based on an iterative double auction mechanism is designed to determine the optimal price and quantity for production capacity matching with a lack of personal information.It facilitates automation of the matching process while protecting users'privacy via blockchainbased smart contracts.Finally,simulation results from the Hyperledger Fabric-based prototype show that the proposed approach increases social welfare by 1.4%compared to the Bayesian game-based approach,makes all participants profitable,and achieves 90%fairness of enterprises. 展开更多
关键词 Blockchain iterative double auction manufacturing collaboration production capacity matching
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Improved algorithm of multi-mainlobe interference suppression under uncorrelated and coherent conditions 被引量:1
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作者 CAI Miaohong CHENG Qiang +1 位作者 MENG Jinli ZHAO Dehua 《Journal of Southeast University(English Edition)》 2025年第1期84-90,共7页
A new method based on the iterative adaptive algorithm(IAA)and blocking matrix preprocessing(BMP)is proposed to study the suppression of multi-mainlobe interference.The algorithm is applied to precisely estimate the s... A new method based on the iterative adaptive algorithm(IAA)and blocking matrix preprocessing(BMP)is proposed to study the suppression of multi-mainlobe interference.The algorithm is applied to precisely estimate the spatial spectrum and the directions of arrival(DOA)of interferences to overcome the drawbacks associated with conventional adaptive beamforming(ABF)methods.The mainlobe interferences are identified by calculating the correlation coefficients between direction steering vectors(SVs)and rejected by the BMP pretreatment.Then,IAA is subsequently employed to reconstruct a sidelobe interference-plus-noise covariance matrix for the preferable ABF and residual interference suppression.Simulation results demonstrate the excellence of the proposed method over normal methods based on BMP and eigen-projection matrix perprocessing(EMP)under both uncorrelated and coherent circumstances. 展开更多
关键词 mainlobe interference suppression adaptive beamforming spatial spectral estimation iterative adaptive algorithm blocking matrix preprocessing
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Fault-observer-based iterative learning model predictive controller for trajectory tracking of hypersonic vehicles 被引量:1
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作者 CUI Peng GAO Changsheng AN Ruoming 《Journal of Systems Engineering and Electronics》 2025年第3期803-813,共11页
This work proposes the application of an iterative learning model predictive control(ILMPC)approach based on an adaptive fault observer(FOBILMPC)for fault-tolerant control and trajectory tracking in air-breathing hype... This work proposes the application of an iterative learning model predictive control(ILMPC)approach based on an adaptive fault observer(FOBILMPC)for fault-tolerant control and trajectory tracking in air-breathing hypersonic vehicles.In order to increase the control amount,this online control legislation makes use of model predictive control(MPC)that is based on the concept of iterative learning control(ILC).By using offline data to decrease the linearized model’s faults,the strategy may effectively increase the robustness of the control system and guarantee that disturbances can be suppressed.An adaptive fault observer is created based on the suggested ILMPC approach in order to enhance overall fault tolerance by estimating and compensating for actuator disturbance and fault degree.During the derivation process,a linearized model of longitudinal dynamics is established.The suggested ILMPC approach is likely to be used in the design of hypersonic vehicle control systems since numerical simulations have demonstrated that it can decrease tracking error and speed up convergence when compared to the offline controller. 展开更多
关键词 hypersonic vehicle actuator fault tracking control iterative learning control(ILC) model predictive control(MPC) fault observer
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An Iterated Greedy Algorithm with Memory and Learning Mechanisms for the Distributed Permutation Flow Shop Scheduling Problem
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作者 Binhui Wang Hongfeng Wang 《Computers, Materials & Continua》 SCIE EI 2025年第1期371-388,共18页
The distributed permutation flow shop scheduling problem(DPFSP)has received increasing attention in recent years.The iterated greedy algorithm(IGA)serves as a powerful optimizer for addressing such a problem because o... The distributed permutation flow shop scheduling problem(DPFSP)has received increasing attention in recent years.The iterated greedy algorithm(IGA)serves as a powerful optimizer for addressing such a problem because of its straightforward,single-solution evolution framework.However,a potential draw-back of IGA is the lack of utilization of historical information,which could lead to an imbalance between exploration and exploitation,especially in large-scale DPFSPs.As a consequence,this paper develops an IGA with memory and learning mechanisms(MLIGA)to efficiently solve the DPFSP targeted at the mini-malmakespan.InMLIGA,we incorporate a memory mechanism to make a more informed selection of the initial solution at each stage of the search,by extending,reconstructing,and reinforcing the information from previous solutions.In addition,we design a twolayer cooperative reinforcement learning approach to intelligently determine the key parameters of IGA and the operations of the memory mechanism.Meanwhile,to ensure that the experience generated by each perturbation operator is fully learned and to reduce the prior parameters of MLIGA,a probability curve-based acceptance criterion is proposed by combining a cube root function with custom rules.At last,a discrete adaptive learning rate is employed to enhance the stability of the memory and learningmechanisms.Complete ablation experiments are utilized to verify the effectiveness of the memory mechanism,and the results show that this mechanism is capable of improving the performance of IGA to a large extent.Furthermore,through comparative experiments involving MLIGA and five state-of-the-art algorithms on 720 benchmarks,we have discovered that MLI-GA demonstrates significant potential for solving large-scale DPFSPs.This indicates that MLIGA is well-suited for real-world distributed flow shop scheduling. 展开更多
关键词 Distributed permutation flow shop scheduling MAKESPAN iterated greedy algorithm memory mechanism cooperative reinforcement learning
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Multiplicity and Stability of Closed Characteristics on Compact Convex Hypersurfaces in R^(2n)
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作者 WANG Wei 《数学进展》 北大核心 2025年第4期673-686,共14页
A survey of recent progress on the multiplicity and stability problems for closed characteristics on compact convex hypersurfaces in R^(2n) is given.
关键词 compact convex hypersurface closed characteristic Hamiltonian system Morse theory index iteration theory
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ITER PF6大型超导磁体线圈吊装精密准直测量关键技术
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作者 顾永奇 郑元阳 +4 位作者 袁忠 王琳 邓磊 李志虎 ITER TAC1项目联合体团队 《核聚变与等离子体物理》 北大核心 2025年第1期19-26,共8页
PF6超导磁体线圈是ITER装置上首个吊装且重量最重的磁体线圈,其吊装精度直接影响后续部件的安装。根据ITER总装厂房和装置大厅的结构状况、基准分布和通视条件等,通过对线圈吊具负载变形测试、吊装测试、线圈方位调整、吊装路径、最终... PF6超导磁体线圈是ITER装置上首个吊装且重量最重的磁体线圈,其吊装精度直接影响后续部件的安装。根据ITER总装厂房和装置大厅的结构状况、基准分布和通视条件等,通过对线圈吊具负载变形测试、吊装测试、线圈方位调整、吊装路径、最终定位等阶段的准直测量过程进行的模拟测量分析,简化了测量方案,优化了准直测量关键步骤,保证了ITER TAC1项目进度。实现了PF6线圈一次性吊装落位精度±4mm的要求,经评估测量不确定度为0.66mm,满足ITER公差与测量不确定度比值不小于5的准则要求。 展开更多
关键词 ITER PF6线圈 精密吊装 准直测量 测量模拟分析
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Improvement of Lattice Parameter Accuracy in Single Crystal XRD Based on a Laser-Induced X-Ray Source
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作者 LIU Jin WANG Qiannan LI Jiangtao 《高压物理学报》 北大核心 2025年第4期9-15,共7页
The lattice parameter,measured with sufficient accuracy,can be utilized to evaluate the quality of single crystals and to determine the equation of state for materials.We propose an iterative method for obtaining more... The lattice parameter,measured with sufficient accuracy,can be utilized to evaluate the quality of single crystals and to determine the equation of state for materials.We propose an iterative method for obtaining more precise lattice parameters using the interaction points for the pseudo-Kossel pattern obtained from laser-induced X-ray diffraction(XRD).This method has been validated by the analysis of an XRD experiment conducted on iron single crystals.Furthermore,the method was used to calculate the compression ratio and rotated angle of an LiF sample under high pressure loading.This technique provides a robust tool for in-situ characterization of structural changes in single crystals under extreme conditions.It has significant implications for studying the equation of state and phase transitions. 展开更多
关键词 lattice parameter measurement accuracy single crystal X-ray diffraction iterative algorithm high pressure ratio of compression
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地球最大核聚变装置的电磁系统完工
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《科技导报》 北大核心 2025年第10期7-8,共2页
2025年4月30日,国际热核聚变实验堆(ITER)组织在其官方网站正式宣布,历经数十年的攻关,这座汇集全球30余国科研力量打造的“人造太阳”取得关键突破:全球规模最大、性能最强的脉冲超导电磁体系统建造完成。ITER装置本质上是一个托卡马... 2025年4月30日,国际热核聚变实验堆(ITER)组织在其官方网站正式宣布,历经数十年的攻关,这座汇集全球30余国科研力量打造的“人造太阳”取得关键突破:全球规模最大、性能最强的脉冲超导电磁体系统建造完成。ITER装置本质上是一个托卡马克型聚变反应装置,目标是在地球上模拟太阳内部的核聚变反应,即将氢的同位素(氘和氚)聚合生成氦原子核,从而释放巨大能量。 展开更多
关键词 托卡马克 ITER 脉冲超导电磁体系统
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A New Technique for Constructing Higher-order Iterative Methods to Solve Nonlinear Systems
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作者 XIAO Xiaoyong 《应用数学》 北大核心 2025年第3期762-774,共13页
In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introduc... In this paper,a new technique is introduced to construct higher-order iterative methods for solving nonlinear systems.The order of convergence of some iterative methods can be improved by three at the cost of introducing only one additional evaluation of the function in each step.Furthermore,some new efficient methods with a higher-order of convergence are obtained by using only a single matrix inversion in each iteration.Analyses of convergence properties and computational efficiency of these new methods are made and testified by several numerical problems.By comparison,the new schemes are more efficient than the corresponding existing ones,particularly for large problem sizes. 展开更多
关键词 Systems of nonlinear equation Order of convergence Higher-order method Extended Newton iteration Computational efficiency
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基于测量数据的虚拟装配技术在ITER校正场线圈装配中的应用
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作者 袁忠 顾永奇 +3 位作者 郑元阳 王琳 邓磊 马国江 《核聚变与等离子体物理》 北大核心 2025年第2期212-219,共8页
ITER底部校正场线圈(BCC)的预装配是继PF6/PF5线圈预装配后,ITER总装现场又一个大型磁体线圈装配的关键里程碑。由于BCC将预装在PF6和馈线环之间,装配间隙狭小,以及其自身形状的不规则性和装配精度要求高等因素,导致BCC的吊装定位成为... ITER底部校正场线圈(BCC)的预装配是继PF6/PF5线圈预装配后,ITER总装现场又一个大型磁体线圈装配的关键里程碑。由于BCC将预装在PF6和馈线环之间,装配间隙狭小,以及其自身形状的不规则性和装配精度要求高等因素,导致BCC的吊装定位成为施工难点。因而发展了基于准直测量数据的虚拟装配技术。根据ITER预装大厅内已安装部件的空间位置测量数据、基准分布和通视条件,利用BCC交付时的轮廓测量数据,对线圈及支撑进行虚拟分析和位置调整,优化吊装路径,模拟分析吊装测量过程,并合理规划装配间隙,以保证线圈的吊装安全和准确定位。6个BCC的成功预装,验证了基于测量数据的虚拟装配技术的可行性。 展开更多
关键词 ITER底部校正场线圈 虚拟装配 准直测量 测量模拟分析
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Rendering acceleration method based on JND and sample gradient
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作者 ZHANG Ripei CHEN Chunyi 《Optoelectronics Letters》 2025年第3期177-182,共6页
Currently,the main idea of iterative rendering methods is to allocate a fixed number of samples to pixels that have not been fully rendered by calculating the completion rate.It is obvious that this strategy ignores t... Currently,the main idea of iterative rendering methods is to allocate a fixed number of samples to pixels that have not been fully rendered by calculating the completion rate.It is obvious that this strategy ignores the changes in pixel values during the previous rendering process,which may result in additional iterative operations. 展开更多
关键词 iterative rendering pixel values allocate fixed number samples completion rateit iterative rendering methods changes pixel values iterative operations completion rate
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浅谈托卡马克核聚变装置事故分析方法与监管要求
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作者 刘巧凤 潘昕怿 +3 位作者 李春 陈妍 郭超 兰兵 《核安全》 2025年第2期79-87,共9页
事故分析是聚变装置面临的一项关键问题,是核安全监管部门关注的一项重要内容。本文分析总结了美国、欧盟等托卡马克聚变装置TFTR、JET、ITER等事故分析的实践,以及美国能源部和核管理委员会对于聚变装置事故分析的监管要求,提出了我国... 事故分析是聚变装置面临的一项关键问题,是核安全监管部门关注的一项重要内容。本文分析总结了美国、欧盟等托卡马克聚变装置TFTR、JET、ITER等事故分析的实践,以及美国能源部和核管理委员会对于聚变装置事故分析的监管要求,提出了我国核聚变装置的事故分析方法和监管要求的建议。 展开更多
关键词 聚变 事故分析 监管 TFTR JET ITER
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Bayesian Network Reconstruction and Iterative Divergence Problem Solving Method Based on Norm Minimization
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作者 Kuo Li Aimin Wang +2 位作者 Limin Wang Yuetan Zhao Xinyu Zhu 《Computer Modeling in Engineering & Sciences》 2025年第4期617-637,共21页
A Bayesian network reconstruction method based on norm minimization is proposed to address the sparsity and iterative divergence issues in network reconstruction caused by noise and missing values.This method achieves... A Bayesian network reconstruction method based on norm minimization is proposed to address the sparsity and iterative divergence issues in network reconstruction caused by noise and missing values.This method achieves precise adjustment of the network structure by constructing a preliminary random network model and introducing small-world network characteristics and combines L1 norm minimization regularization techniques to control model complexity and optimize the inference process of variable dependencies.In the experiment of game network reconstruction,when the success rate of the L1 norm minimization model’s existence connection reconstruction reaches 100%,the minimum data required is about 40%,while the minimum data required for a sparse Bayesian learning network is about 45%.In terms of operational efficiency,the running time for minimizing the L1 normis basically maintained at 1.0 s,while the success rate of connection reconstruction increases significantly with an increase in data volume,reaching a maximum of 13.2 s.Meanwhile,in the case of a signal-to-noise ratio of 10 dB,the L1 model achieves a 100% success rate in the reconstruction of existing connections,while the sparse Bayesian network had the highest success rate of 90% in the reconstruction of non-existent connections.In the analysis of actual cases,the maximum lift and drop track of the research method is 0.08 m.The mean square error is 5.74 cm^(2).The results indicate that this norm minimization-based method has good performance in data efficiency and model stability,effectively reducing the impact of outliers on the reconstruction results to more accurately reflect the actual situation. 展开更多
关键词 Bayesian norm minimization network reconstruction iterative divergence SPARSITY
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Further research of multi-scale assemble and matrix reassemble method for efficient analysis of railway track-substructure system subjected to a moving train
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作者 Lei Xu Leizhen Wu +3 位作者 Zheng Li Borong Peng Tao Lu Zhiwu Yu 《Railway Engineering Science》 2025年第2期271-289,共19页
For a large-scale dynamic system,the efficiency of computation becomes a vital work sometimes in engineering practices.As a layered structural system,ballastless track and substructure occupy most part of the degrees ... For a large-scale dynamic system,the efficiency of computation becomes a vital work sometimes in engineering practices.As a layered structural system,ballastless track and substructure occupy most part of the degrees of freedom of the whole system.It is,therefore,rather important to optimize the structural models in dynamic equation formulations.In this work,a three-dimensional and coupled model for multi-rigid-body of train and finite elements of track and substructures is pre-sented by multi-scale assemble and matrix reassemble method.The matrix reassembling tactic is based on the multi-scale assemble method,through which the finite element matrix bandwidth is greatly narrowed,and the Cholesky factorization,iterative and multi-time-step solution have been introduced to efficiently obtain the train,track and substructure responses.The subgrade and its subsoil works as a typical substructural system,and comparisons with the previous model without matrix reassembling,SIMPACK and ABAQUS have been conducted to fully validate the efficiency and accuracy of this train-track-subgrade dynamic interaction model. 展开更多
关键词 Train-track interaction Railway track Dynamics Finite elements Iterative solution
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A Transformer-enhanced Iterative Unrolling Network for Sparse-view CT Image Reconstruction
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作者 WANG Yu LIU Peng +1 位作者 WANG Yanan QIAO Zhiwei 《CT理论与应用研究(中英文)》 2025年第5期839-854,共16页
Radiation dose reduction in computed tomography(CT)can be achieved by decreasing the number of projections.However,reconstructing CT images via filtered back projection algorithm from sparse-view projections often con... Radiation dose reduction in computed tomography(CT)can be achieved by decreasing the number of projections.However,reconstructing CT images via filtered back projection algorithm from sparse-view projections often contains severe streak artifacts,affecting clinical diagnosis.To address this issue,this paper proposes TransitNet,an iterative unrolling deep neural network that combines model-driven data consistency,a physical a prior constraint,with deep learning’s feature extraction capabilities.TransitNet employs a novel iterative architecture,implementing flexible physical constraints through learnable data consistency operations,utilizing Transformer’s self-attention mechanism to model long-range dependencies in image features,and introducing linear attention mechanisms to reduce self-attention’s computational complexity from quadratic to linear.Extensive experiments demonstrate that this method exhibits significant advantages in both reconstruction quality and computational efficiency,effectively suppressing streak artifacts while preserving structures and details of images. 展开更多
关键词 sparse-view CT iterative unrolling TRANSFORMER linear attention data consistency
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