The Nesterov accelerated dynamical approach serves as an essential tool for addressing convex optimization problems with accelerated convergence rates.Most previous studies in this field have primarily concentrated on...The Nesterov accelerated dynamical approach serves as an essential tool for addressing convex optimization problems with accelerated convergence rates.Most previous studies in this field have primarily concentrated on unconstrained smooth con-vex optimization problems.In this paper,on the basis of primal-dual dynamical approach,Nesterov accelerated dynamical approach,projection operator and directional gradient,we present two accelerated primal-dual projection neurodynamic approaches with time scaling to address convex optimization problems with smooth and nonsmooth objective functions subject to linear and set constraints,which consist of a second-order ODE(ordinary differential equation)or differential conclusion system for the primal variables and a first-order ODE for the dual vari-ables.By satisfying specific conditions for time scaling,we demonstrate that the proposed approaches have a faster conver-gence rate.This only requires assuming convexity of the objective function.We validate the effectiveness of our proposed two accel-erated primal-dual projection neurodynamic approaches through numerical experiments.展开更多
China’s accelerator driven subcritical system(ADS)development has made significant progress during the past decade.With the successful construction and operation of the international prototype of ADS superconducting ...China’s accelerator driven subcritical system(ADS)development has made significant progress during the past decade.With the successful construction and operation of the international prototype of ADS superconducting proton linac,the lead-based critical/subcritical zero-power facility VENUS-II and the comprehensive thermal-hydraulic and material test facilities for LBE(lead bismuth eutectic)coolant,China is playing a pivotal role in advanced steady-state operations toward the next step,the ADS project.The China initiative Accelerator Driven System(CiADS)is the next facility for China’s ADS program,aimed to bridge the gaps between the ADS experiment and the LBE cooled subcritical reactor.The total power of the CiADS will reach 10 MW.The CiADS engineering design was approved by Chinese government in 2018.Since then,the CiADS project has been fully transferred to the construction application stage.The subcritical reactor is an important part of the whole CiADS project.Currently,a pool-type LBE cooled fast reactor is chosen as the subcritical reactor of the CiADS.Physical and thermal experiments and software development for LBE coolant were conducted simultaneously to support the design and construction of the CiADS LBEcooled subcritical reactor.Therefore,it is necessary to introduce the efforts made in China in the LBE-cooled fast reactor to provide certain supporting data and reference solutions for further design and development for ADS.Thus,the roadmap of China’s ADS,the development process of the CiADS,the important design of the current CiADS subcritical reactor,and the efforts to build the LBE-cooled fast reactor are presented.展开更多
On April 7,the Lvliang municipal government and Aluminum Corporation of China Limited(CHALCO)held an in-depth discussion about accelerating the construction of projects such as the 1-million-ton light alloy project and
基金supported by the National Natural Science Foundation of China(62176218,62176027)the Fundamental Research Funds for the Central Universities(XDJK2020TY003)the Funds for Chongqing Talent Plan(cstc2024ycjh-bgzxm0082)。
文摘The Nesterov accelerated dynamical approach serves as an essential tool for addressing convex optimization problems with accelerated convergence rates.Most previous studies in this field have primarily concentrated on unconstrained smooth con-vex optimization problems.In this paper,on the basis of primal-dual dynamical approach,Nesterov accelerated dynamical approach,projection operator and directional gradient,we present two accelerated primal-dual projection neurodynamic approaches with time scaling to address convex optimization problems with smooth and nonsmooth objective functions subject to linear and set constraints,which consist of a second-order ODE(ordinary differential equation)or differential conclusion system for the primal variables and a first-order ODE for the dual vari-ables.By satisfying specific conditions for time scaling,we demonstrate that the proposed approaches have a faster conver-gence rate.This only requires assuming convexity of the objective function.We validate the effectiveness of our proposed two accel-erated primal-dual projection neurodynamic approaches through numerical experiments.
基金the Special Fund of Shanghai Municipal Economic and Informatization Commission(GYQJ-2018-2-02)。
文摘China’s accelerator driven subcritical system(ADS)development has made significant progress during the past decade.With the successful construction and operation of the international prototype of ADS superconducting proton linac,the lead-based critical/subcritical zero-power facility VENUS-II and the comprehensive thermal-hydraulic and material test facilities for LBE(lead bismuth eutectic)coolant,China is playing a pivotal role in advanced steady-state operations toward the next step,the ADS project.The China initiative Accelerator Driven System(CiADS)is the next facility for China’s ADS program,aimed to bridge the gaps between the ADS experiment and the LBE cooled subcritical reactor.The total power of the CiADS will reach 10 MW.The CiADS engineering design was approved by Chinese government in 2018.Since then,the CiADS project has been fully transferred to the construction application stage.The subcritical reactor is an important part of the whole CiADS project.Currently,a pool-type LBE cooled fast reactor is chosen as the subcritical reactor of the CiADS.Physical and thermal experiments and software development for LBE coolant were conducted simultaneously to support the design and construction of the CiADS LBEcooled subcritical reactor.Therefore,it is necessary to introduce the efforts made in China in the LBE-cooled fast reactor to provide certain supporting data and reference solutions for further design and development for ADS.Thus,the roadmap of China’s ADS,the development process of the CiADS,the important design of the current CiADS subcritical reactor,and the efforts to build the LBE-cooled fast reactor are presented.
文摘On April 7,the Lvliang municipal government and Aluminum Corporation of China Limited(CHALCO)held an in-depth discussion about accelerating the construction of projects such as the 1-million-ton light alloy project and
