期刊文献+
共找到130篇文章
< 1 2 7 >
每页显示 20 50 100
Novel adaptive IMEX two-step Runge-Kutta temporal discretization methods for unsteady flows
1
作者 Xueyu QIN Jian YU +2 位作者 Xin ZHANG Zhenhua JIANG Chao YAN 《Chinese Journal of Aeronautics》 2025年第8期142-153,共12页
Efficient and accurate simulation of unsteady flow presents a significant challenge that needs to be overcome in computational fluid dynamics.Temporal discretization method plays a crucial role in the simulation of un... Efficient and accurate simulation of unsteady flow presents a significant challenge that needs to be overcome in computational fluid dynamics.Temporal discretization method plays a crucial role in the simulation of unsteady flows.To enhance computational efficiency,we propose the Implicit-Explicit Two-Step Runge-Kutta(IMEX-TSRK)time-stepping discretization methods for unsteady flows,and develop a novel adaptive algorithm that correctly partitions spatial regions to apply implicit or explicit methods.The novel adaptive IMEX-TSRK schemes effectively handle the numerical stiffness of the small grid size and improve computational efficiency.Compared to implicit and explicit Runge-Kutta(RK)schemes,the IMEX-TSRK methods achieve the same order of accuracy with fewer first derivative calculations.Numerical case tests demonstrate that the IMEX-TSRK methods maintain numerical stability while enhancing computational efficiency.Specifically,in high Reynolds number flows,the computational efficiency of the IMEX-TSRK methods surpasses that of explicit RK schemes by more than one order of magnitude,and that of implicit RK schemes several times over. 展开更多
关键词 Implicit-explicit temporal methods two-step Runge-Kutta methods Adaptive algorithm Unsteady flows Navier-Stokes equations
原文传递
A Two-Step Modulus-Based Matrix Splitting Iteration Method Without Auxiliary Variables for Solving Vertical Linear Complementarity Problems 被引量:1
2
作者 Hua Zheng Xiaoping Lu Seakweng Vong 《Communications on Applied Mathematics and Computation》 2024年第4期2475-2492,共18页
In this paper,a two-step iteration method is established which can be viewed as a generalization of the existing modulus-based methods for vertical linear complementarity problems given by He and Vong(Appl.Math.Lett.1... In this paper,a two-step iteration method is established which can be viewed as a generalization of the existing modulus-based methods for vertical linear complementarity problems given by He and Vong(Appl.Math.Lett.134:108344,2022).The convergence analysis of the proposed method is established,which can improve the existing results.Numerical examples show that the proposed method is efficient with the two-step technique. 展开更多
关键词 Vertical linear complementarity problem Modulus-based matrix splitting two-step method
在线阅读 下载PDF
Ascorbic acid-induced porous iodide layer for a high-purity two-step solution-processed tin-lead mixed perovskite photodetector 被引量:2
3
作者 Liansong Liu Fengren Cao +3 位作者 Liukang Bian Meng Wang Haoxuan Sun Liang Li 《Journal of Materials Science & Technology》 2025年第7期227-232,共6页
Tin(Sn)-lead(Pb)mixed halide perovskites have attracted widespread interest due to their wider re-sponse wavelength and lower toxicity than lead halide perovskites,Among the preparation methods,the two-step method mor... Tin(Sn)-lead(Pb)mixed halide perovskites have attracted widespread interest due to their wider re-sponse wavelength and lower toxicity than lead halide perovskites,Among the preparation methods,the two-step method more easily controls the crystallization rate and is suitable for preparing large-area per-ovskite devices.However,the residual low-conductivity iodide layer in the two-step method can affect carrier transport and device stability,and the different crystallization rates of Sn-and Pb-based per-ovskites may result in poor film quality.Therefore,Sn-Pb mixed perovskites are mainly prepared by a one-step method.Herein,a MAPb_(0.5)Sn_(0.5)I_(3)-based self-powered photodetector without a hole transport layer is fabricated by a two-step method.By adjusting the concentration of the ascorbic acid(AA)addi-tive,the final perovskite film exhibited a pure phase without residues,and the optimal device exhibited a high responsivity(0.276 A W^(-1)),large specific detectivity(2.38×10^(12) Jones),and enhanced stability.This enhancement is mainly attributed to the inhibition of Sn2+oxidation,the control of crystal growth,and the sufficient reaction between organic ammonium salts and bottom halides due to the AA-induced pore structure. 展开更多
关键词 PEROVSKITE SN-PB PHOTODETECTOR two-step solution method
原文传递
Temperature-dependent photoluminescence on organic inorganic metal halide perovskite CH_3NH_3Pb I_(3-)Cl_ prepared on ZnO/FTO substrates using a two-step method 被引量:4
4
作者 Shiwei Zhuang Deqian Xu +6 位作者 Jiaxin Xu Bin Wu Yuantao Zhang Xin Dong Guoxing Li Baolin Zhang Guotong Du 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第1期482-487,共6页
Temperature-dependent photoluminescence characteristics of organic-inorganic halide perovskite CH3NH3Pb I3-xClx films prepared using a two-step method on ZnO/FTO substrates were investigated. Surface morphology and ab... Temperature-dependent photoluminescence characteristics of organic-inorganic halide perovskite CH3NH3Pb I3-xClx films prepared using a two-step method on ZnO/FTO substrates were investigated. Surface morphology and absorption characteristics of the films were also studied. Scanning electron microscopy revealed large crystals and substrate coverage. The orthorhombic-to-tetragonal phase transition temperature was-140 K. The films' exciton binding energy was 77.6 ± 10.9 meV and the energy of optical phonons was 38.8 ± 2.5 meV. These results suggest that perovskite CH3NH3Pb I(3-x)Clx films have excellent optoelectronic characteristics which further suggests their potential usage in perovskitebased optoelectronic devices. 展开更多
关键词 PEROVSKITE temperature-dependent photoluminescence two-step method ZNO
原文传递
Applying the Dynamic Two-Step Method to Forecast Remaining Oil Distribution of Lower Series ,Xiaermen Oilfield 被引量:2
5
作者 周红 汤传意 李增辉 《Journal of China University of Geosciences》 SCIE CSCD 2006年第1期65-70,共6页
The distribution of remaining oil is often described qualitatively. The remaining oil distributed in the whole reservoir is calculated according to the characteristics of the space distribution of the saturation of re... The distribution of remaining oil is often described qualitatively. The remaining oil distributed in the whole reservoir is calculated according to the characteristics of the space distribution of the saturation of remaining oil. Logging data are required to accomplish this. However, many such projects cannot be completed. Since the old study of remaining oil distribution could not be quantified efficiently, the "dynamic two-step method" is presented. Firstly, the water cut of every flow unit in one well at one time is calculated according to the comprehensive water cut of a single well at one time. Secondly, the remaining oil saturation of the flow unit of the well at one time is calculated based on the water cut of the flow unit at a given time. The results show that "dynamic two-step method" has characteristics of simplicity and convenience, and is especially suitable for the study of remaining oil distribution at high water-cut stage. The distribution of remaining oil presented banding and potato form, remaining oil was relatively concentrated in faultage neighborhood and imperfect well netting position, and the net thickness of the place was great. This proposal can provide an effective way to forecast remaining oil distribution and enhance oil recovery, especially applied at the high water-cut stage. 展开更多
关键词 dynamic two-step method flow unit quantitative forecast remaining oil
在线阅读 下载PDF
Preparation of ZnO/GO composite material with highly photocatalytic performance via an improved two-step method 被引量:4
6
作者 Ya-Li Chen Chun-E.Zhang +3 位作者 Chao Deng Peng Fei Ming Zhong Bi-Tao Su 《Chinese Chemical Letters》 SCIE CAS CSCD 2013年第6期518-520,共3页
ZnO/graphene oxide(ZnO/GO) composite material,in which ZnO nanoparticles were densely coated on the GO nanosheets,was successfully prepared by an improved two-step method and characterized by IR, XRD,TEM,and UV-vis ... ZnO/graphene oxide(ZnO/GO) composite material,in which ZnO nanoparticles were densely coated on the GO nanosheets,was successfully prepared by an improved two-step method and characterized by IR, XRD,TEM,and UV-vis techniques.The improved photocatalytic property of the ZnO/GO composite material,evaluated by the photocatalytic degradation of methyl orange(MO) under UV irradiation,is ascribed to the intimate contact between ZnO and GO,the enhanced adsorption of MO,the quick electron transfer from excited ZnO particles to GO sheets and the activation of MO molecules viaπ-πinteraction between MO and GO. 展开更多
关键词 ZnO/GO composite material Improved two-step method Characterization Enhanced adsorptive and photocatalytic property
原文传递
Application of rigorous coupled-wave theory on quality analysis of natural jadeite 被引量:1
7
作者 JIA Yuxin CHEN Guibo ZHAO Pengfei 《Global Geology》 2017年第1期64-68,共5页
In order to make more available methods for natural jadeite quality evaluation,this study applied rigorous coupled wave theory to calculate and simulate the reflection characteristics of various natural jadeites,and e... In order to make more available methods for natural jadeite quality evaluation,this study applied rigorous coupled wave theory to calculate and simulate the reflection characteristics of various natural jadeites,and establish evaluation standard based on the relationship between refractive index and reflectivity and responses of reflection efficiency to refractive index,grating thickness and incident angles,etc.The results suggest that reflection efficiency varies significantly as a function of the natural jadeite quality,which can provide a new method to evaluate natural jadeite. 展开更多
关键词 rigorous coupled-wave analysis method natural jadeite refractive index reflective efficiency
在线阅读 下载PDF
The convergence ball and error analysis of the two-step Secant method
8
作者 LIN Rong-fei WU Qing-biao +2 位作者 CHEN Min-hong KHAN Yasir LIU Lu 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2017年第4期397-406,共10页
Under the assumption that the nonlinear operator has Lipschitz continuous divided differences for the first order,we obtain an estimate of the radius of the convergence ball for the two-step secant method.Moreover,we ... Under the assumption that the nonlinear operator has Lipschitz continuous divided differences for the first order,we obtain an estimate of the radius of the convergence ball for the two-step secant method.Moreover,we also provide an error estimate that matches the convergence order of the two-step secant method.At last,we give an application of the proposed theorem. 展开更多
关键词 two-step secant method estimate of radius convergence ball Lipschitz continuous
在线阅读 下载PDF
A new two-step variational model for multiplicative noise removal with applications to texture images
9
作者 ZHANG Long-hui YAO Wen-juan +2 位作者 SHI Sheng-zhu GUO Zhi-chang ZHANG Da-zhi 《Applied Mathematics(A Journal of Chinese Universities)》 SCIE CSCD 2024年第3期486-501,共16页
Multiplicative noise removal problems have attracted much attention in recent years.Unlike additive noise,multiplicative noise destroys almost all information of the original image,especially for texture images.Motiva... Multiplicative noise removal problems have attracted much attention in recent years.Unlike additive noise,multiplicative noise destroys almost all information of the original image,especially for texture images.Motivated by the TV-Stokes model,we propose a new two-step variational model to denoise the texture images corrupted by multiplicative noise with a good geometry explanation in this paper.In the first step,we convert the multiplicative denoising problem into an additive one by the logarithm transform and propagate the isophote directions in the tangential field smoothing.Once the isophote directions are constructed,an image is restored to fit the constructed directions in the second step.The existence and uniqueness of the solution to the variational problems are proved.In these two steps,we use the gradient descent method and construct finite difference schemes to solve the problems.Especially,the augmented Lagrangian method and the fast Fourier transform are adopted to accelerate the calculation.Experimental results show that the proposed model can remove the multiplicative noise efficiently and protect the texture well. 展开更多
关键词 multiplicative noise removal texture images total variation two-step variational method aug-mented Lagrangian method
在线阅读 下载PDF
Solution of Nonlinear Integro Differential Equations by Two-Step Adomian Decomposition Method (TSAM)
10
作者 Maryam Al-Mazmumy Safa O. Almuhalbedi 《International Journal of Modern Nonlinear Theory and Application》 2016年第4期248-255,共8页
The Adomian decomposition method (ADM) can be used to solve a wide range of problems and usually gets the solution in a series form. In this paper, we propose two-step Adomian Decomposition Method (TSAM) for nonlinear... The Adomian decomposition method (ADM) can be used to solve a wide range of problems and usually gets the solution in a series form. In this paper, we propose two-step Adomian Decomposition Method (TSAM) for nonlinear integro-differential equations that will facilitate the calculations. In this modification, compared to the standard Adomian decomposition method, the size of calculations was reduced. This modification also avoids computing Adomian polynomials. Numerical results are given to show the efficiency and performance of this method. 展开更多
关键词 Adomian Decomposition method Nonlinear Volterraintegro-Differential Equations Nonlinear Fredholmintegro-Differential Equations two-step
在线阅读 下载PDF
基于栅元嵌套网格的停堆剂量率方法初步验证及应用
11
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
在线阅读 下载PDF
Arrhenius relationship and two-step scheme in AF hyperdynamics simulation of diffusion of Mg/Zn interface 被引量:1
12
作者 吴永全 陆秀明 沈通 《Transactions of Nonferrous Metals Society of China》 SCIE EI CAS CSCD 2013年第2期508-516,共9页
The accelerating factor (AF) method is a simple and appropriate way to investigate the atomic long-time deep diffusion at solid-solid interface. In the framework of AF hyperdynamics (HD) simulation, the relationsh... The accelerating factor (AF) method is a simple and appropriate way to investigate the atomic long-time deep diffusion at solid-solid interface. In the framework of AF hyperdynamics (HD) simulation, the relationship between the diffusion coefficient along the direction of z-axis which is normal to the Mg/Zn interface and temperature was investigated, and the AF's impact on the diffusion constant (D0) and activation energy (Q^*) was studied. Then, two steps were taken to simulate the atomic diffusion process and the formation of new phases: one for acceleration and the other for equilibration. The results show that: the Arrhenius equation works well for the description of Dz with different accelerating factors; the AF has no effect on the diffusion constant Do in the case of no phase transition; and the relationship between Q* and Q conforms to Q^*=Q/A. Then, the new Arrhenius equation for AFHD is successfully constructed as Dz=Doexp[-Q/(ART)]. Meanwhile, the authentic equilibrium conformations at any dynamic moment can only be reproduced by the equilibration simulation of the HD-simulated configurations. Key words: accelerating factor method; Arrhenius equation; two-steps scheme; Mg/Zn interface; hyperdynamic simulation 展开更多
关键词 accelerating factor method Arrhenius equation two-steps scheme Mg/Zn interface hyperdynamic simulation
在线阅读 下载PDF
Development and verification of the higher-order mode neutron flux calculation code HARMONY2.0
13
作者 Er-Pin Zhang Zi-Ning Ni +3 位作者 Nian-Biao Deng Jin-Sen Xie Yong Liu Tao Yu 《Nuclear Science and Techniques》 2025年第1期207-225,共19页
Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reac... Higher-order modes of the neutron diffusion/transport equation can be used to study the temporal behavior of nuclear reactors and can be applied in modal analysis, transient analysis, and online monitoring of the reactor core. Both the deterministic method and the Monte Carlo(MC) method can be used to solve the higher-order modes. However, MC method, compared to the deterministic method, faces challenges in terms of computational efficiency and α mode calculation stability, whereas the deterministic method encounters issues arising from homogenization-related geometric and energy spectra adaptation.Based on the higher-order mode diffusion calculation code HARMONY, we developed a new higher-order mode calculation code, HARMONY2.0, which retains the functionality of computing λ and α higher-order modes from HARMONY1.0, but enhances the ability to treat complex geometries and arbitrary energy spectra using the MC-deterministic hybrid two-step strategy. In HARMONY2.0, the mesh homogenized multigroup constants were obtained using OpenMC in the first step,and higher-order modes were then calculated with the mesh homogenized core diffusion model using the implicitly restarted Arnoldi method(IRAM), which was also adopted in the HARMONY1.0 code. In addition, to improve the calculation efficiency, particularly in large higher-order modes, event-driven parallelization/domain decomposition methods are embedded in the HARMONY2.0 code to accelerate the inner iteration of λ∕α mode using OpenMP. Furthermore, the higher-order modes of complex geometric models, such as Hoogenboom and ATR reactors for λ mode and the MUSE-4 experiment facility for the prompt α mode, were computed using diffusion theory. 展开更多
关键词 Neutron diffusion equation Higher-order modes Global homogenization two-step method DOMAIN
在线阅读 下载PDF
Spatial PbI_(2) distribution impacting stability of perovskite solar cells
14
作者 Huanhuan Wang Zaiwei Wang +6 位作者 Zihan Qu Zhuang Zhang Ke Meng Gang Chen T.Jesper Jacobsson Jingbi You Jingshan Luo 《Journal of Energy Chemistry》 2025年第6期446-453,I0011,共9页
Introducing a stoichiometric excess of lead iodide(PbI_(2))in perovskite films has been demonstrated as an effective passivation strategy that can improve the power conversion efficiency(PCE)of perovskite solar cells(... Introducing a stoichiometric excess of lead iodide(PbI_(2))in perovskite films has been demonstrated as an effective passivation strategy that can improve the power conversion efficiency(PCE)of perovskite solar cells(PSCs),However,excess PbI_(2)is also known to accelerate the degradation of the perovskite layer.In this study,we show that this degradation primarily stems from the decomposition of PbI_(2)at the bottom of the perovskite film which is exposed to light We further show that when using a two-step spin coating deposition procedure,the excess PbI_(2)results from the decomposition of the perovskite during the annealing process rather than the presence of non-reacted PbI_(2).Finally,we demonstrate that the spatial distribution of PbI_(2)within the perovskite films can be controlled in a way that mitigates the PbI_(2)induced perovskite decomposition.In this manner,we produced devices exhibiting initial power conversion efficiencies over 25%,maintaining 98.6% after 1000 h of maximum power point tracking under continuous illumination.These findings offer valuable insights into achieving high performance PSCs through judicious process control using a two-step spin-coating procedure. 展开更多
关键词 PbI_(2)distribution two-step method Perovskite solar cells STABILITY
在线阅读 下载PDF
The Research on Biogas Power Generation by Two Step Method 被引量:7
15
作者 庞德茂 时军 《Agricultural Science & Technology》 CAS 2010年第6期179-182,共4页
The paper aims to demonstrate the system of SANYI biogas power generation by two-step method which can produce methane and generate electricity effectively and stably.So it can be stable synchronization meshwork energ... The paper aims to demonstrate the system of SANYI biogas power generation by two-step method which can produce methane and generate electricity effectively and stably.So it can be stable synchronization meshwork energy source establishment and provide references to develop an effective and stable project of producing methane and generating electricity. 展开更多
关键词 METHANE two-step method Biogas power generation Energy sources engineering
在线阅读 下载PDF
A Novel Method of Fabricating a Well-Faceted Large-Crystal Diamond Through MPCVD 被引量:3
16
作者 满卫东 翁俊 +3 位作者 吴宇琼 陈朋 余学超 汪建华 《Plasma Science and Technology》 SCIE EI CAS CSCD 2009年第6期688-692,共5页
A novel method was developed to deposit a large crystal diamond with good facets up to 1000 μm on a tungsten substrate using a microwave plasma enhanced chemical vapor deposition (MPCVD). This method consists of tw... A novel method was developed to deposit a large crystal diamond with good facets up to 1000 μm on a tungsten substrate using a microwave plasma enhanced chemical vapor deposition (MPCVD). This method consists of two steps, namely single-crystal nucleation and growth. Prior to the fabrication of the well-faceted, large crystal diamond, an investigation was made into the nucleation and growth of the diamond which were affected by the O2 concentration and substrate temperature. Deposited diamond crystals were characterized by scanning electron microscopy and micro-Raman spectroscopy. The results showed that the conditions of single-crystal nucleation were appropriate when the ratio of H2/CH4/O2 was about 200/7.0/2.0, while the sub- strate temperature Ts of 1000℃ to 1050℃ was the appropriate range for single-crystal diamond growth. Under the optimum parameters, a well-faeeted large crystal diamond was obtained. 展开更多
关键词 DIAMOND MPCVD single crystal two-step method well-faceted
在线阅读 下载PDF
In-depth understanding of ionic liquid assisted perovskite film formation mechanism for two-step perovskite photovoltaics 被引量:1
17
作者 Fei Wang Patrick Wai-Keung Fong +12 位作者 Zhiwei Ren Hai-Lun Xia Kang Zhou Kai Wang Jiajie Zhu Xiaoxi Huang Xiao-Yuan Liu Hao Wang Yumeng Shi Haoran Lin Quanyao Zhu Gang Li Hanlin Hu 《Journal of Energy Chemistry》 SCIE EI CAS CSCD 2022年第10期599-606,I0015,共9页
Ionic liquids(ILs)have been widely applied in the one-step fabrication of perovskite with noticeable enhancement in the device performance.However,in-depth mechanism of ionic-liquid-assisted perovskite film formation ... Ionic liquids(ILs)have been widely applied in the one-step fabrication of perovskite with noticeable enhancement in the device performance.However,in-depth mechanism of ionic-liquid-assisted perovskite film formation is not well understood for also important two-step perovskite fabrication method,with better control of crystallization behavior.In this work,we introduced ionic liquid methylammonium formate(MAFa)into organic salt to produce perovskite film via a two-step method.Systematic investigations on the influence of MAFa on the perovskite thin film formation mechanism were performed.Ionic liquid is shown to assist lowering the perovskite formation enthalpy upon the density functional theory(DFT)calculation,leading to an accelerated crystallization process evidenced by in-situ UV-Vis absorption measurement.A gradient up-down distribution of ionic liquid has been confirmed by timeof-flight SIMS.Importantly,besides the surface passivation,we found the HCOO-can diffuse into the perovskite crystals to fill up the halide vacancies,resulting in significant reduction of trap states.Uniform perovskite films with significantly larger grains and less defect density were prepared with the help of MAFa IL,and the corresponding device efficiency over 23%was obtained by two-step process with remarkably improved stability.This research work provides an efficient strategy to tune the morphology and opto-electronic properties of perovskite materials via ionic-liquid-assisted two-step fabrication method,which is beneficial for upscaling and application of perovskite photovoltaics. 展开更多
关键词 Halide vacancies Perovskite solar cells two-step method Ionic liquid
在线阅读 下载PDF
A class of twostep continuity Runge-Kutta methods for solving singular delay differential equations and its convergence 被引量:1
18
作者 Leng Xin Liu Degui +1 位作者 Song Xiaoqiu Chen Lirong 《Journal of Systems Engineering and Electronics》 SCIE EI CSCD 2005年第4期908-916,共9页
An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditio... An idea of relaxing the effect of delay when computing the Runge-Kutta stages in the current step and a class of two-step continuity Runge-Kutta methods (TSCRK) is presented. Their construction, their order conditions and their convergence are studied. The two-step continuity Runge-Kutta methods possess good numerical stability properties and higher stage-order, and keep the explicit process of computing the Runge-Kutta stages. The numerical experiments show that the TSCRK methods are efficient. 展开更多
关键词 CONVERGENCE singular delay differential equations two-step continuity Runge-Kutta methods.
在线阅读 下载PDF
A Remarkable Chord Iterative Method for Roots of Uncertain Multiplicity 被引量:1
19
作者 I. Fried 《Applied Mathematics》 2016年第11期1207-1214,共9页
In this note we at first briefly review iterative methods for effectively approaching a root of an unknown multiplicity. We describe a first order, then a second order estimate for the multiplicity index m of the appr... In this note we at first briefly review iterative methods for effectively approaching a root of an unknown multiplicity. We describe a first order, then a second order estimate for the multiplicity index m of the approached root. Next we present a second order, two-step method for iteratively nearing a root of an unknown multiplicity. Subsequently, we introduce a novel chord, or a two- step method, not requiring beforehand knowledge of the multiplicity index m of the sought root, nor requiring higher order derivatives of the equilibrium function, which is quadratically convergent for any , and then reverts to superlinear. 展开更多
关键词 Iterative methods Unknown Root Multiplicity two-step methods
在线阅读 下载PDF
Explicit solutions to some nonlinear physical models by a two-step ansatz
20
作者 胡建兰 《Chinese Physics B》 SCIE EI CAS CSCD 2008年第8期2774-2782,共9页
Explicit solutions are derived for some nonlinear physical model equations by using a delicate way of two-step ansatz method.
关键词 Explicit solution nonlinear physical model two-step ansatz method
原文传递
上一页 1 2 7 下一页 到第
使用帮助 返回顶部