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| 1 | Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach spaces显示文摘A series of stability, contractivity and asymptotic stability results of the solutions to nonlinear stiff Volterra functional differential equations (VFDEs) in Banach spaces is obtained, which provides the unified theoretical foundation for the stability analysis of solutions to nonlinear stiff problems in ordinary differential equations(ODEs), delay differential equations(DDEs), integro-differential equations(IDEs) and VFDEs of other type which appear in practice. | LI Shoufu | 2005 | Science China Mathematics2005，48，3： | 20 |
| 2 | A Class of Fast Algorithms in Real-Time Simulation显示文摘A class of hybrid algorithms of real-time simulation based on evaluation of non-integerstep right-hand side function are presented in this paper. And some results of the convergence and stability of the algorithms are given. Using the class of algorithms, evaluation for the right-hand side function is needed once in every integration-step. Moreover, comparing with the other methods with the same amount of work, their numerical stability regions are larger and the method errors are smaller, and the numerical experiments show that the algorithms are very effective. | Zhu Zhenmin & Liu Degui(Beijing Institute of Computer Application and Simulation Technology, 100854, P. R. China)Li Shoufu(Mathematics Department of Xiangtan University, 411105, P. R. China) | 1999 | Journal of Systems Engineering and Electronics1999，10，4： | 4 |
| 3 | MOF-Transformed In_(2)O_(3-x)@C Nanocorn Electrocatalyst for Efficient CO_(2)Reduction to HCOOH显示文摘For electrochemical CO_(2) reduction to HCOOH,an ongoing challenge is to design energy efficient electrocatalysts that can deliver a high HCOOH current density(JHCOOH)at a low overpotential.Indium oxide is good HCOOH production catalyst but with low con-ductivity.In this work,we report a unique corn design of In_(2)O_(3-x)@C nanocatalyst,wherein In_(2)O_(3-x)nanocube as the fine grains dispersed uniformly on the carbon nanorod cob,resulting in the enhanced conductivity.Excellent performance is achieved with 84%Faradaic efficiency(FE)and 11 mA cm^(−2)JHCOOH at a low potential of−0.4 V versus RHE.At the current density of 100 mA cm^(−2),the applied potential remained stable for more than 120 h with the FE above 90%.Density functional theory calculations reveal that the abundant oxygen vacancy in In_(2)O_(3-x) has exposed more In^(3+) sites with activated electroactivity,which facilitates the formation of HCOO*intermediate.Operando X-ray absorp-tion spectroscopy also confirms In^(3+) as the active site and the key intermediate of HCOO*during the process of CO_(2) reduction to HCOOH. | Chen Qiu Kun Qian Jun Yu Mingzi Sun Shoufu Cao Jinqiang Gao Rongxing Yu Lingzhe Fang Youwei Yao Xiaoqing Lu Tao Li Bolong Huang Shihe Yang | 2022 | Nano-Micro Letters2022，14，10： | 2 |
| 4 | A Class of Parallel Algorithms of Real-TimeNumerical Simulation for Stiff Dynamic System显示文摘In this paper a class of real-time parallel modified Rosenbrock methods of numerical simulation is constructed for stiff dynamic systems on a multiprocessor system, and convergence and numerical stability of these methods are discussed. A-stable real-time parallel formula of two-stage third-order and A(α)-stable real-time parallel formula with o ≈ 89.96° of three-stage fourth-order are particularly given. The numerical simulation experiments in parallel environment show that the class of algorithms is efficient and applicable, with greater speedup. | Cao Xuenian Liu Degui Li Shoufu | 2000 | Journal of Systems Engineering and Electronics2000，11，4： | 2 |
| 5 | On the Lie Algebras, Generalized Symmetries and Darboux Transformations of the Fifth-Order Evolution Equations in Shallow Water显示文摘By considering the one-dimensional model for describing long, small amplitude waves in shallow water, a generalized fifth-order evolution equation named the Olver water wave(OWW) equation is investigated by virtue of some new pseudo-potential systems. By introducing the corresponding pseudo-potential systems, the authors systematically construct some generalized symmetries that consider some new smooth functions{Xiβ}i=1,2,···,nβ =1,2,···,N depending on a finite number of partial derivatives of the nonlocal variables vβand a restriction ∑iα,β(? ξi/?vβ)2+(?ηα/?vβ)2≠0, i.e.,∑i,α,β(?Gα/?vβ)2≠0. Furthermore,the authors investigate some structures associated with the Olver water wave(AOWW)equations including Lie algebra and Darboux transformation. The results are also extended to AOWW equations such as Lax, Sawada-Kotera, Kaup-Kupershmidt, It and Caudrey-Dodd-Gibbon-Sawada-Kotera equations, et al. Finally, the symmetries are applied to investigate the initial value problems and Darboux transformations. | Shoufu TIAN Yufeng ZHANG Binlu FENG Hongqing ZHANG | 2015 | Chinese Annals of Mathematics,Series B2015，36，4： | 2 |
| 6 | 显示文摘 | Ma Erming Luo Shoufu Li Pengxing | 1988 | Thin Solid Films1988，166，： | 1 |
| 7 | Convergence of Semi-Implicit Euler Methods for Nonlinear Stochastic Delay Differential Equations显示文摘 | WANG Wenqiang LI Shoufu HUANG Shan | 2008 | Journal of Yunnan University:Natural Sciences Edition2008，30，1： | 1 |
| 8 | Stability analysis of Runge-Kutta methols for non-linear delay differential equations显示文摘 | Huang chengming Fu Hongyuan Li Shoufu Chen Guangnan | 1999 | B1T1999，39，： | 1 |
| 9 | Analysis of the environmental impact of China based on STIRPAT model显示文摘 | Shoufu Lin Dingtao Zhao Dora Marinova | 2009 | Environmental Impact Assessment Review2009，29，： | 1 |
| 10 | A transmission electron microscopy study on the crystallization of amorphous Ni-P electroless deposited coatings显示文摘 | Ma Faming Luo Shoufu Li Pengxing | 1988 | Thin Solid Films1988，166，： | 1 |
| 11 | Convergence of one-leg methods for nonlinear neutral delay integro-differential equations显示文摘Some convergence results of one-leg methods for nonlinear neutral delay integro-differential equations (NDIDEs) are obtained. It is proved that a one-leg method is E (or EB) -convergent of order p for nonlinear NDIDEs if and only if it is A-stable and consistent of order p in classical sense for ODEs, where p = 1, 2. A numerical example that confirms the theoretical results is given in the end of this paper. | WANG WanSheng LI ShouFu | 2009 | Science China Mathematics2009，52，8： | 1 |
| 12 | How can the Dual-atom Catalyst FeCo-NC Surpass Singleatom Catalysts Fe-NC/Co-NC in CO_(2) RR?-CO Intermediate Assisted Promotion via a Synergistic Effect显示文摘Atomically dispersed catalysts are widely adopted in CO_(2)reduction reaction(CO_(2)RR)due to maximal atomic utilization and high catalytic activity.Dual-atom catalysts(DACs),with more dispersed active sites and distinct electronic structures compared with single-atom catalysts(SACs),may exhibit diverse catalytic performance.Herein,the DAC FeCo-NC and SAC Fe-NC/Co-NC are employed as probes to explore DACs advantage in CO_(2)RR.Results show that the moderate interaction between the dual-atom center and N coordination balances structural stability and catalytic activity.CO is the only product on Fe-NC/Co-NC,and the high limiting potentials from−1.22 to−1.67 V inhibit further reduction.FeCo-NC assisted with CO intermediate exhibits low limiting potentials of−0.64 V for both CH_(3)OH and CH 4,comparable to those on Cu-based catalysts.Under circumstance of applied potentials,CO_(2)RR on FeCo-NC has greater advantages in yielding CH_(3)OH and CH 4 than that on Fe-NC/Co-NC,and hydrogen evolution reaction is severely inhibited.The intrinsic essence is that dual-atom center can provide large spin-polarization and multi-electron transfer capability,rendering CO intermediates as effective electronic and geometric modifiers in CO_(2)RR.This work highlights FeCo-NC as a high-performance CO_(2)RR catalyst toward deep-reduction C1 products and elucidates CO intermediate assisted promotion mechanism via a dual-atom synergistic effect. | Shoufu Cao Sainan Zhou Hongyu Chen Shuxian Wei Siyuan Liu Xiaojing Lin Xiaodong Chen Zhaojie Wang Wenyue Guo Xiaoqing Lu | 2023 | Energy & Environmental Materials2023，6，1： | 1 |
| 13 | Tailoring cobalt-free La_(0.5)Sr_(0.5)FeO_(3-δ)cathode with a nonmetal cation-doping strategy for high-performance proton-conducting solid oxide fuel cells显示文摘A nonmetal doping strategy was exploited for the conventional La_(0.5)Sr_(0.5)FeO_(3-δ)(LSF)cathode,allowing high performance for proton-conducting solid oxide fuel cells(H-SOFCs).Unlike previous studies focusing on the utilization of metal oxides as dopants,phosphorus,which is a nonmetal element,was used as the cation dopant for LSF by partially replacing Fe ions to form the new La_(0.5)Sr_(0.5)Fe_(0.9)P_(0.1)O_(3-δ)(LSFP)compound.The H-SOFC using the LSFP cathode showed a two-fold peak power density as compared to that using the LSF cathode.Both experimental studies and first-principle calculations were used to unveil the mechanisms for the high performance of the LSFP cells. | Yanru Yin Hailu Dai Shoufu Yu Lei Bi Enrico Traversa | 2022 | SusMat2022，2，5： | 1 |
| 14 | Stability analysis of solutions to nonlinear stiff Volterra functional differential equations in Banach 显示文摘 | Shoufu Li | | spaces0，，： | 1 |
| 15 | Analysis of the environmental impact of China based on STIRPAT model显示文摘 | Shoufu Lin Dingtao Zhao Dora Marinova | 2009 | Environmental Impact Assessment Review2009，，： | 1 |
| 16 | Dissipativity of Runge- Kutta methods for neutral delay differential equations with piecewise constant delay显示文摘 | Wang Wansheng Li Shoufu | 2008 | Applied Mathematics Letters2008，21，： | 1 |
| 17 | CCR5 recep- tor antagonists : Discovery and SAR of novel 4-hydroxypip- eridine derivatives 显示文摘 | Lu Shoufu Chen Binglong Dave Davey | 2007 | Bioorganic & Medicinal Chemistry Letters2007，17，7： | 1 |
| 18 | Stability analysis of Runge-Kutta methols for non-linear delay differential equations显示文摘 | HUANG CHENG MING FU HONGYUAN LI SHOUFU | 1999 | BIT1999，39，： | 1 |
| 19 | Taking advantage of Li-evaporation in LiCoO_(2) as cathode for proton-conducting solid oxide fuel cells显示文摘LiCoO_(2),a widely used electrode material for Li-ion batteries,was found to be suitable as a cathode material for proton-conducting solid oxide fuel cells(H-SOFCs).Although the evaporation of Li in LiCoO_(2) was detrimental to the Li-ion battery performance,the Li-evaporation was found to be beneficial for the H-SOFCs.The partial evaporation of Li in the LiCoO_(2) material preparation procedure led to the in-situ formation of the LiCoO_(2)+Co_(3)O_(4) composite.Compared to the cell using the pure phase LiCoO_(2) cathode that only generated moderate fuel cell performance,the H-SOFCs using the LiCoO_(2)+Co_(3)O_(4) cathode showed a high fuel cell performance of 1160 mW·cm^(-2) at 700℃,suggesting that the formation of Co_(3)O_(4) was critical for enhancing the performance of the LiCoO_(2) cathode.The first-principles calculation gave insights into the performance improvements,indicating that the in-situ formation of Co_(3)O_(4) due to the Li-evaporation in LiCoO_(2) could dramatically decrease the formation energy of oxygen vacancies that is essential for the high cathode performance.The evaporation of Li in LiCoO_(2),which is regarded as a drawback for the Li-ion batteries,is demonstrated to be advantageous for the H-SOFCs,offering new selections of cathode candidates for the H-SOFCs. | Yangsen XU Shoufu YU Yanru YIN Lei BI | 2022 | Journal of Advanced Ceramics2022，11，12： | 1 |
| 20 | Stability Analysis of Runge-Kutta Methods for Non-Linear Delay Differential Equations显示文摘 | Huang Chengming Fu Hongyuan Li Shoufu Chen Guangnan | 1999 | Bit Numerical Mathematics1999，，2： | 1 |
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