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A Generative Residual Enhanced Neural Operator Based on the Boundary Element Method for Accurate Metasurface Parameter Analysis 认领 引用
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作者 Huilan Wu Yijun Liu 《Computer Modeling in Engineering & Sciences》 SCIE EI 2026年第5期472-501,共30页
Metasurface design often requires solving field distributions across varying structural parameters and frequencies,where neural operators offer a promising avenue for fast prediction.However,conventional neural operat... Metasurface design often requires solving field distributions across varying structural parameters and frequencies,where neural operators offer a promising avenue for fast prediction.However,conventional neural operators have problems with degradation of the accuracy in multi-scale structural analysis.In this work,we propose a Generative Residual Enhanced Neural Operator(GRE-NO)framework that introduces a generative residual network to model the systematic bias of the main predictor.The core model retains the DeepONet architecture with both branch and trunk networks implemented using Fourier Neural Operators,combining strong generalization and efficient global representation.To handle the complexity of unbounded acoustic scattering problems,we integrate the Boundary Element Method(BEM)into data modeling and field computation,which reduces the problem dimensionality and enables training with samples at the 104 scale.Numerical experiments on some 2D and 3D acoustic metasurface problems demonstrate that the developed GRE-NO achieves excellent accuracy in results with relative errors under 1%in this study,outperforming conventional neural networks in accuracy of prediction. 展开更多
关键词 Generative residual network Fourier neural operator DeepONet boundary element method cross-scale metasurface analysis
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A novel flexible operation mode and mission planning method for shipborne helicopter groups 认领 引用
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作者 Wei Han Xiaohua Han +4 位作者 Xinwei Wang Haonan Wu Fang Guo Jingyu Cong Xichao Su 《Defence Technology（防务技术）》 SCIE EI CAS CSCD 2026年第4期207-232,共26页
To address efficient operation scheduling of shipboard helicopter groups under multi-mission demands and limited deck space,a novel Flexible Operation Mode(FOM)was proposed.Mission grouping,deck operation processes,an... To address efficient operation scheduling of shipboard helicopter groups under multi-mission demands and limited deck space,a novel Flexible Operation Mode(FOM)was proposed.Mission grouping,deck operation processes,and mission time were flexibilized to construct a mission planning method.From the perspective of the deck operation lifecycle,the scheduling problem was modeled as a six-stage mixed-integer program.A bi-level optimization framework was introduced,prioritizing maximization of mission time window satisfaction and secondarily minimizing mean deck operation time.Spatial evolution during the transportation phase was managed via an offline trajectory library that converted high-dimensional constraints into low-dimensional parameter mappings,significantly reducing real-time solution complexity.A Leader-Follower Particle Swarm Optimization(LFPSO)algorithm was developed,featuring a three-stage stochastic priority encoding and a mission-chain-driven launch-re-covery decoupling strategy to reduce decision coupling.A hierarchical population structure enhanced co-evolution of global search and local refinement.The case simulation results show that the proposed model and algorithm can effectively solve the deck operation scheduling problem in complex mission scenarios,and are significantly superior to the Continuous Operation Mode(COM)and the Fixed-process FOM(FFOM)in key performance indicators such as mission time window satisfaction,average deck operation time,and average mission flight time.Its effectiveness in enhancing system scheduling capability and performance stability has been verified.This research provides systematic support for the flexible construction and intelligent decision-making of ship aviation operation systems. 展开更多
关键词 Flexible operation mode Mission planning method Shipborne helicopter groups Leader-follower particle swarm optimization Deck operation scheduling
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Systematic Algebraic Method to Identify Clifford Operations for Quantum Error-Correction Codes 认领 引用
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作者 Sheng-Chen Liu Yu-Xuan Lin +1 位作者 Ying-Xiang Wang Liang-You Peng 《Chinese Physics Letters》 SCIE EI CAS CSCD 2026年第4期122-141,共20页
In the domain of quantum error correction,a critical task involves identifying logical operations on logical qubits for various quantum codes.However,owing to the inherent complexity of many quantum codes,devising an ... In the domain of quantum error correction,a critical task involves identifying logical operations on logical qubits for various quantum codes.However,owing to the inherent complexity of many quantum codes,devising an efficient method to implement the desired logical operations utilizing the structure of these codes presents a significant challenge.In previous studies,several methods were used to realize specific logical operations for certain quantum codes;however,they usually do not work for other quantum codes. 展开更多
关键词 logical operations quantum codesdevising quantum codeshoweverthey systematic algebraic method quantum codeshoweverowing quantum error correctiona quantum co identifying logical operations logical qubits
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Analysis of the Effectiveness and Teaching Satisfaction of Diversified Teaching Methods in Clinical Instruction for Operating Room Nursing Interns 认领 引用
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作者 Jie Gao Yuanrong Luo 《Journal of Clinical and Nursing Research》 2026年第2期40-46,共7页
Objective: To analyze the advantages of diversified teaching methods in the clinical instruction of operating room nursing interns. Methods: Twenty-one nursing interns who underwent internships in the operating room f... Objective: To analyze the advantages of diversified teaching methods in the clinical instruction of operating room nursing interns. Methods: Twenty-one nursing interns who underwent internships in the operating room from March 2023 to March 2024 were selected as the control group and received conventional teaching methods. Another twenty-one nursing interns who underwent internships in the operating room from April 2024 to April 2025 were selected as the experimental group and received diversified teaching methods. The teaching effects of the two groups were compared. Results: The experimental group scored higher than the control group in assessments, teaching satisfaction, and teaching quality evaluations, as well as in post-instruction professional identity scores (p < 0.05). Conclusion: Diversified teaching methods can enhance the professional competence of operating room nursing interns, cultivate their professional identity, and yield high teaching satisfaction, thereby improving teaching quality. 展开更多
关键词 Diversified teaching methods Operating room nursing interns Clinical instruction Teaching satisfaction
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A Nonlocal Operator Method for Partial Differential Equations with Application to Electromagnetic Waveguide Problem 认领 引用 被引量：47
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作者 Timon Rabczuk Huilong Ren Xiaoying Zhuang 《Computers, Materials & Continua》 SCIE EI 2019年第4期31-55,共25页
A novel nonlocal operator theory based on the variational principle is proposed for the solution of partial differential equations.Common differential operators as well as the variational forms are defined within the ... A novel nonlocal operator theory based on the variational principle is proposed for the solution of partial differential equations.Common differential operators as well as the variational forms are defined within the context of nonlocal operators.The present nonlocal formulation allows the assembling of the tangent stiffness matrix with ease and simplicity,which is necessary for the eigenvalue analysis such as the waveguide problem.The present formulation is applied to solve the differential electromagnetic vector wave equations based on electric fields.The governing equations are converted into nonlocal integral form.An hourglass energy functional is introduced for the elimination of zeroenergy modes.Finally,the proposed method is validated by testing three classical benchmark problems. 展开更多
关键词 Nonlocal operator method Variational principle Nonlocal operators Hourglass mode
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Symplectic partitioned Runge-Kutta method based onthe eighth-order nearly analytic discrete operator and its wavefield simulations 认领 引用 被引量：3
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作者 张朝元 马啸 +1 位作者 杨磊 宋国杰 《Applied Geophysics》 SCIE CSCD 2014年第1期89-106,117,118,共18页
We propose a symplectic partitioned Runge-Kutta （SPRK） method with eighth-order spatial accuracy based on the extended Hamiltonian system of the acoustic waveequation. Known as the eighth-order NSPRK method, this te... We propose a symplectic partitioned Runge-Kutta （SPRK） method with eighth-order spatial accuracy based on the extended Hamiltonian system of the acoustic waveequation. Known as the eighth-order NSPRK method, this technique uses an eighth-orderaccurate nearly analytic discrete （NAD） operator to discretize high-order spatial differentialoperators and employs a second-order SPRK method to discretize temporal derivatives.The stability criteria and numerical dispersion relations of the eighth-order NSPRK methodare given by a semi-analytical method and are tested by numerical experiments. We alsoshow the differences of the numerical dispersions between the eighth-order NSPRK methodand conventional numerical methods such as the fourth-order NSPRK method, the eighth-order Lax-Wendroff correction （LWC） method and the eighth-order staggered-grid （SG）method. The result shows that the ability of the eighth-order NSPRK method to suppress thenumerical dispersion is obviously superior to that of the conventional numerical methods. Inthe same computational environment, to eliminate visible numerical dispersions, the eighth-order NSPRK is approximately 2.5 times faster than the fourth-order NSPRK and 3.4 timesfaster than the fourth-order SPRK, and the memory requirement is only approximately47.17% of the fourth-order NSPRK method and 49.41% of the fourth-order SPRK method,which indicates the highest computational efficiency. Modeling examples for the two-layermodels such as the heterogeneous and Marmousi models show that the wavefields generatedby the eighth-order NSPRK method are very clear with no visible numerical dispersion.These numerical experiments illustrate that the eighth-order NSPRK method can effectivelysuppress numerical dispersion when coarse grids are adopted. Therefore, this methodcan greatly decrease computer memory requirement and accelerate the forward modelingproductivity. In general, the eighth-order NSPRK method has tremendous potential value forseismic exploration and seismology research. 展开更多
关键词 Symplectic partitioned Runge-Kutta method Nearly analytic discrete operator Numerical dispersion Wavefield simulation
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Optical Operator Method Studied via Fresnel Operator Decomposition and Coherent State Representation 认领 引用 被引量：2
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作者 MA Shan-Jun HU Li-Yun FAN Hong-Yi 《Communications in Theoretical Physics》 SCIE CAS 2008年第5期1295-1298,共4页
We find that the mapping from classical optical transformations to the optical operator method can be realized by using the coherent state representation and the technique of integration within an ordered product of o... We find that the mapping from classical optical transformations to the optical operator method can be realized by using the coherent state representation and the technique of integration within an ordered product of operators. The optical Fresnel operator derived in （Commun. Theor. Phys. （Beijing, China） 38 （2002） 147） can unify those frequently used optical operators. Various decompositions of Fresnel operator into the exponential canonical operators are obtained. 展开更多
关键词 optical operator method optical Fresnel operator IWOP technique
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GALERKIN-PETROV METHODS OF TOEPLITZ OPERATORS ON DIRICHLET SPACE 认领 引用 被引量：3
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作者 王晓峰 曹广福 《Acta Mathematica Scientia》 SCIE 2007年第2期308-316,共9页
The convergence of several Galerkin-Petrov methods, including polynomial collocation and analytic element collocation methods of Toeplitz operators on Dirichlet space, is established. In particular, it is shown that s... The convergence of several Galerkin-Petrov methods, including polynomial collocation and analytic element collocation methods of Toeplitz operators on Dirichlet space, is established. In particular, it is shown that such methods converge if the basis and test function own certain circular symmetry. 展开更多
关键词 Galerkin-Petrov methods polynomial collocation analytic element collocation Toeplitz operators Dirichlet space
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Euler’s First-Order Explicit Method–Peridynamic Differential Operator for Solving Population Balance Equations of the Crystallization Process 认领 引用 被引量：1
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作者 Chunlei Ruan Cengceng Dong +2 位作者 Kunfeng Liang Zhijun Liu Xinru Bao 《Computer Modeling in Engineering & Sciences》 SCIE EI 2024年第3期3033-3049,共17页
Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridyna... Using Euler’s first-order explicit(EE)method and the peridynamic differential operator(PDDO)to discretize the time and internal crystal-size derivatives,respectively,the Euler’s first-order explicit method–peridynamic differential operator(EE–PDDO)was obtained for solving the one-dimensional population balance equation in crystallization.Four different conditions during crystallization were studied:size-independent growth,sizedependent growth in a batch process,nucleation and size-independent growth,and nucleation and size-dependent growth in a continuous process.The high accuracy of the EE–PDDO method was confirmed by comparing it with the numerical results obtained using the second-order upwind and HR-van methods.The method is characterized by non-oscillation and high accuracy,especially in the discontinuous and sharp crystal size distribution.The stability of the EE–PDDO method,choice of weight function in the PDDO method,and optimal time step are also discussed. 展开更多
关键词 Population balance equation crystallization peridynamic differential operator Euler’s first-order explicit method
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Weyl-Ordered Operator Moyal Bracket by Virtue of Method of Integral Within an Weyl Ordered Product of Operators 认领 引用 被引量：4
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作者 FAN Hong-Yi 《Communications in Theoretical Physics》 SCIE CAS 2006年第2期245-248,共4页
The Moyal bracket is an exemplification of Weyl＇s correspondence to formulate quantum mechancis in terms of Wigner function. Here we present a formalism of Weyl-ordered operator Moyal bracket by virtue of the method ... The Moyal bracket is an exemplification of Weyl＇s correspondence to formulate quantum mechancis in terms of Wigner function. Here we present a formalism of Weyl-ordered operator Moyal bracket by virtue of the method of integral within a Weyl ordered product of operators and the Weyl ordering operator formula. 展开更多
关键词 Weyl ordering Weyl-ordered operator Moyal bracket IWWOP method
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A Class of Preconditioners Based on Positive-Definite Operator Splitting Iteration Methods for Variable-Coefficient Space-Fractional Diffusion Equations 认领 引用 被引量：1
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作者 Jun-Feng Yin Yi-Shu Du 《Communications on Applied Mathematics and Computation》 EI 2021年第1期157-176,共20页
After discretization by the finite volume method,the numerical solution of fractional diffusion equations leads to a linear system with the Toeplitz-like structure.The theoretical analysis gives sufficient conditions ... After discretization by the finite volume method,the numerical solution of fractional diffusion equations leads to a linear system with the Toeplitz-like structure.The theoretical analysis gives sufficient conditions to guarantee the positive-definite property of the discretized matrix.Moreover,we develop a class of positive-definite operator splitting iteration methods for the numerical solution of fractional diffusion equations,which is unconditionally convergent for any positive constant.Meanwhile,the iteration methods introduce a new preconditioner for Krylov subspace methods.Numerical experiments verify the convergence of the positive-definite operator splitting iteration methods and show the efficiency of the proposed preconditioner,compared with the existing approaches. 展开更多
关键词 Fractional diffusion equations Finite volume method Operator splitting Positive-definite
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Optimization Study on Operating Parameters of Rotary Gas-Gas Heat Exchanger in Low-and Medium-Temperature Denitrification System for Cement Kiln Flue Gas 认领 引用
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作者 Kaiwen Cheng Yi Sun +2 位作者 Dong Wang Chen Zhu Fuping Qian 《Frontiers in Heat and Mass Transfer》 EI CAS 2026年第3期141-157,共17页
Rotary gas-gas heat exchangers(GGHs)are pivotal for waste heat recovery in low-and mediumtemperature denitrification systems of cement kilns.This study examines the performance of GGHs within such systems by coupling ... Rotary gas-gas heat exchangers(GGHs)are pivotal for waste heat recovery in low-and mediumtemperature denitrification systems of cement kilns.This study examines the performance of GGHs within such systems by coupling computational fluid dynamics(CFD)with the response surface method(RSM),introducing overall system performance(OSP)as the principal optimization criterion.The investigation systematically elucidates the effects of treated flue gas inlet temperature,inlet velocity,and rotor speed on GGH efficiency.Findings reveal that OSP increases with rotor speed but reaches a plateau beyond 1 rpm;it decreases with higher inlet velocity and increases with higher inlet temperature.Response surface analysis identifies treated flue gas inlet temperature as the most influential parameter,highlighting a synergistic effect between rotor speed and inlet temperature,alongside an antagonistic interaction between inlet temperature and inlet velocity.To ensure safe system operation,engineering constraints were incorporated into the optimization framework using a Box-Behnken design.The optimal operational parameters were determined as a treated flue gas inlet temperature of 250℃,inlet velocity of 8 m/s,and rotor speed of 1 rpm,yielding a maximum OSP of 107.74.The integrated CFD-RSM methodology and constraint-aware optimization strategy presented in this study offer a practical reference for enhancing the operational efficiency of industrial waste heat recovery systems,particularly in cement kiln SCR applications. 展开更多
关键词 Waste heat recovery of cement kiln rotary gas-gas heat exchanger response surface method operating parameter optimization
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Optical Operator Method in Two-Mode Case and Entangled Fresnel Operator's Decomposition 认领 引用
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作者 马善钧 胡利云 范洪义 《Communications in Theoretical Physics》 SCIE CAS 2010年第5期907-912,共6页
Based on the entangled Fresnel operator （EFO） proposed in [Commun. Theor. Phys. 46 （2006） 559], the optical operator method studied by the IWOP technique （Ma et al., Commun. Theor. Phys. 49 （2008） 1295） is ext... Based on the entangled Fresnel operator （EFO） proposed in [Commun. Theor. Phys. 46 （2006） 559], the optical operator method studied by the IWOP technique （Ma et al., Commun. Theor. Phys. 49 （2008） 1295） is extended to the two-mode case, which gives the decomposition of the entangled Fresnel operator, corresponding to the decomposition of ray transfer matrix [A, B, C, D]. The EFO can unify those optical operators in two-mode case. Various decompositions of EFO into the exponential canonical operators are obtained. The entangled state representation is useful in the research. 展开更多
关键词 optical operator method entangled Fresnel operator IWOP technique
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Multilevel Iteration Methods for Solving Linear Operator Equations of the First Kind 认领 引用 被引量：2
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作者 罗兴钧 《Northeastern Mathematical Journal》 2008年第1期1-9,共9页
In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems. The two algorithms and their convergen... In this paper we develop two multilevel iteration methods for solving linear systems resulting from the Galerkin method and Tikhonov regularization for linear ill-posed problems. The two algorithms and their convergence analyses are presented in an abstract framework. 展开更多
关键词 operator equations of the first kind ill-posed problem multilevel iteration method Tikhonov regularization
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Study on the operating characteristics of Stirling engine based on an optimized analysis method 认领 引用 被引量：1
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作者 Shang-Dong Yang Wen-Pei Feng +1 位作者 Yu-Gao Ma Zhi-Xing Gu 《Nuclear Science and Techniques》 SCIE EI CAS CSCD 2025年第9期209-225,共17页
The Stirling engine,as a closed-cycle power machine,exhibits excellent emission characteristics and broad energy adaptability.Second-order analysis methods are extensively used during the foundational design and therm... The Stirling engine,as a closed-cycle power machine,exhibits excellent emission characteristics and broad energy adaptability.Second-order analysis methods are extensively used during the foundational design and thermodynamic examination of Stirling engines,owing to their commendable model precision and remarkable efficiency.To scrutinize the effect of Stirling engine design parameters on the cyclical work output and efficiency,this study formulates a series of differential equations for the Stirling cycle by employing second-order analysis methods,subsequently augmenting the predictive accuracy by integrating considerations of loss mechanisms.In addition,an iterative method for the convergence of the average pressure was introduced.The predictive capability of the established model was validated using GPU-3 and RE-1000 experimental data.According to the model,parameters such as the operational fluid,porosity of the regenerator,and diameter of the wire mesh and their influence on the resulting work output and cyclic efficiency of the Stirling engine were analyzed,thereby facilitating a broader understanding of the engine's functional characteristics.These findings suggest that hydrogen,owing to its lower dynamic viscosity coefficient,can provide superior output power.The loss due to flow resistance tends to increase with the rotational speed.Additionally,under conditions of elevated rotational speed,the loss from flow resistance declines in cases of increased porosity,and the enhancement of the porosity to diminish flow resistance losses can boost both the output work and the cyclic efficiency of the engine.As the porosity increased further,the hydraulic diameter and dead volume in the regenerator continued to expand,causing the pressure drop within the engine to become the dominant factor in the gradual reduction of output power.Furthermore,extending the length of the regenerator results in a decrease in the output work,although the thermal cycle efficiency initially increases before eventually decreasing.Based on these insights,this study pursues the optimal designs for Stirling engines. 展开更多
关键词 Stirling engine Second-order method Operating characteristics Mechanisms of loss Cyclic efficiency
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TWO REGULARIZATION METHODS FOR IDENTIFYING THE SOURCE TERM PROBLEM ON THE TIME-FRACTIONAL DIFFUSION EQUATION WITH A HYPER-BESSEL OPERATOR 认领 引用
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作者 Fan YANG Qiaoxi SUN Xiaoxiao LI 《Acta Mathematica Scientia》 SCIE CSCD 2022年第4期1485-1518,共34页
In this paper,we consider the inverse problem for identifying the source term of the time-fractional equation with a hyper-Bessel operator.First,we prove that this inverse problem is ill-posed,and give the conditional... In this paper,we consider the inverse problem for identifying the source term of the time-fractional equation with a hyper-Bessel operator.First,we prove that this inverse problem is ill-posed,and give the conditional stability.Then,we give the optimal error bound for this inverse problem.Next,we use the fractional Tikhonov regularization method and the fractional Landweber iterative regularization method to restore the stability of the ill-posed problem,and give corresponding error estimates under different regularization parameter selection rules.Finally,we verify the effectiveness of the method through numerical examples. 展开更多
关键词 Time-fractional diffusion equation source term problem fractional Landweber regularization method Hyper-Bessel operator fractional Tikhonov regularization method
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Aggregation operators and CRITIC-VIKOR method for confidence complex q-rung orthopair normal fuzzy information and their applications 认领 引用
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作者 Tahir Mahmood Zeeshan Ali Muhammad Naeem 《CAAI Transactions on Intelligence Technology》 SCIE EI 2023年第1期40-63,共24页
Supply chain management is an essential part of an organisation's sustainable programme.Understanding the concentration of natural environment,public,and economic influence and feasibility of your suppliers and pu... Supply chain management is an essential part of an organisation's sustainable programme.Understanding the concentration of natural environment,public,and economic influence and feasibility of your suppliers and purchasers is becoming progressively familiar as all industries are moving towards a massive sustainable potential.To handle such sort of developments in supply chain management the involvement of fuzzy settings and their generalisations is playing an important role.Keeping in mind this role,the aim of this study is to analyse the role and involvement of complex q-rung orthopair normal fuzzy(CQRONF)information in supply chain management.The major impact of this theory is to analyse the notion of confidence CQRONF weighted averaging,confidence CQRONF ordered weighted averaging,confidence CQRONF hybrid averaging,confidence CQRONF weighted geometric,confidence CQRONF ordered weighted geometric,confidence CQRONF hybrid geometric operators and try to diagnose various properties and results.Furthermore,with the help of the CRITIC and VIKOR models,we diagnosed the novel theory of the CQRONF-CRITIC-VIKOR model to check the sensitivity analysis of the initiated method.Moreover,in the availability of diagnosed operators,we constructed a multi-attribute decision-making tool for finding a beneficial sustainable supplier to handle complex dilemmas.Finally,the initiated operator's efficiency is proved by comparative analysis. 展开更多
关键词 averaging/geometric aggregation operators complex q-rung orthopair normal fuzzy information confidence levels strategic decision-making methods
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Quantum mechanical operator realization of the Stirling numbers theory studied by virtue of the operator Hermite polynomials method 认领 引用
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作者 范洪义 楼森岳 《Chinese Physics B》 SCIE EI CAS CSCD 2015年第7期102-105,共4页
Based on the operator Hermite polynomials method（OHPM）, we study Stirling numbers in the context of quantum mechanics, i.e., we present operator realization of generating function formulas of Stirling numbers with s... Based on the operator Hermite polynomials method（OHPM）, we study Stirling numbers in the context of quantum mechanics, i.e., we present operator realization of generating function formulas of Stirling numbers with some applications.As a by-product, we derive a summation formula involving both Stirling number and Hermite polynomials. 展开更多
关键词 operator Hermite polynomials method（OHPM） Stirling numbers
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Eigenfunction expansion method of upper triangular operator matrixand application to two-dimensional elasticity problems based onstress formulation 认领 引用
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作者 额布日力吐 阿拉坦仓 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2012年第2期223-232,共10页
This paper studies the eigenfunction expansion method to solve the two dimensional （2D） elasticity problems based on the stress formulation. The fundamental system of partial differential equations of the 2D problem... This paper studies the eigenfunction expansion method to solve the two dimensional （2D） elasticity problems based on the stress formulation. The fundamental system of partial differential equations of the 2D problems is rewritten as an upper tri angular differential system based on the known results, and then the associated upper triangular operator matrix matrix is obtained. By further research, the two simpler com plete orthogonal systems of eigenfunctions in some space are obtained, which belong to the two block operators arising in the operator matrix. Then, a more simple and conve nient general solution to the 2D problem is given by the eigenfunction expansion method. Furthermore, the boundary conditions for the 2D problem, which can be solved by this method, are indicated. Finally, the validity of the obtained results is verified by a specific example. 展开更多
关键词 eigenfunction expansion method two-dimensional （2D） elasticity problem,upper triangular operator matrix general solution
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ITERATIVE REGULARIZATION METHODS FOR NONLINEAR ILL-POSED OPERATOR EQUATIONS WITH M-ACCRETIVE MAPPINGS IN BANACH SPACES 认领 引用 被引量：2
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作者 Ioannis K.ARGYROS Santhosh GEORGE 《Acta Mathematica Scientia》 SCIE CSCD 2015年第6期1318-1324,共7页
In this paper, a modified Newton type iterative method is considered for ap- proximately solving ill-posed nonlinear operator equations involving m-accretive mappings in Banach space. Convergence rate of the method is... In this paper, a modified Newton type iterative method is considered for ap- proximately solving ill-posed nonlinear operator equations involving m-accretive mappings in Banach space. Convergence rate of the method is obtained based on an a priori choice of the regularization parameter. Our analysis is not based on the sequential continuity of the normalized duality mapping. 展开更多
关键词 nonlinear ill-posed equations iterative regularization m-accretive operator Newton type method
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