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作品数:17被引量:21H指数:2
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相关领域:理学更多>>
相关作者:孙慰迟吴长刚王盛更多>>
相关机构:复旦大学河北农业大学更多>>
相关期刊:《Science China Mathematics》《China Petroleum Processing & Petrochemical Technology》《International Journal of Modeling, Simulation, and Scientific Computing》《Applied Mathematics and Mechanics(English Edition)》更多>>
相关基金:国家自然科学基金上海市教育委员会重点学科基金更多>>
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Positive definiteness of real quadratic forms resulting from the variable-step L1-type approximations of convolution operators
《Science China Mathematics》2024年第2期237-252,共16页Hong-Lin Liao Tao Tang Tao Zhou 
Hong-Lin Liao was supported by National Natural Science Foundation of China(Grant No.12071216);Tao Tang was supported by Science Challenge Project(Grant No.TZ2018001);National Natural Science Foundation of China(Grants Nos.11731006 and K20911001);Tao Zhou was supported by National Natural Science Foundation of China(Grant No.12288201);Youth Innovation Promotion Association(CAS);Henan Academy of Sciences.
The positive definiteness of real quadratic forms with convolution structures plays an important rolein stability analysis for time-stepping schemes for nonlocal operators. In this work, we present a novel analysistoo...
关键词:discrete convolution kernels positive definiteness variable time-stepping orthogonal convolution kernels complementary convolution kernels 
Effect of Microwave Irradiation on Oximation of Acetylferrocene
《Green and Sustainable Chemistry》2021年第1期1-8,共8页Yutaka Okada Ryuichi Maeda 
Microwave-assisted reactions are an environmentally friendly approach for synthesizing organic compounds. In this study, oximation of acetylferrocene and acetophenone was conducted under both microwave irradiation and...
关键词:Microwave Irradiation Conventional Heating Ferrocene Nucleus ACETOPHENONE ACETYLFERROCENE OXIMATION 
Research Progress in Refining Process for Production of Caprolactam by Beckman Rearrangement Reaction被引量:2
《China Petroleum Processing & Petrochemical Technology》2019年第2期10-18,共9页Wang Hao Zhang Dejiang Fan Yingqi Xie Li Luo Yibin Zong Baoning 
Caprolactam, which is mainly produced via the Beckmann rearrangement reaction, is an important chemical material. The strict specifications of caprolactam products make the refining process of caprolactam extremely im...
关键词:CAPROLACTAM BECKMAN REARRANGEMENT REFINING OXIMATION 
Existence of weak solutions for non-stationary flows of fluids with shear thinning dependent viscosities under slip boundary conditions in half space
《Science China Mathematics》2018年第4期727-744,共18页Aibin Zang 
supported by National Natural Science Foundation of China (Grant No. 11571279);Education Department of Jiangxi Province (Grant No. GJJ151036);Youth Innovation Group of Applied Mathematics in Yichun University (Grant No. 2012TD006)
This paper treats the system of motion for an incompressible non-Newtonian fluids of the stress tensor described by p-potential function subject to slip boundary conditions in R_+~3. Making use of the Oseentype approx...
关键词:non-Newtonian fluid slip boundary conditions Oseen-type approximation weak solution 
On Weighted L^p-Approximation by Weighted Bernstein-Durrmeyer Operators被引量:2
《Analysis in Theory and Applications》2018年第1期1-16,共16页Meiling Wang Dansheng Yu Dejun Zhao 
In the present paper, we establish direct and converse theorems for weight-ed Bernstein-Durrmeyer operators under weighted L^p-norm with Jacobi weight w(x)=x^a(1-x)β.All the results involved have no restriction a...
关键词:Weighted Lp-approximation weighted Bernstein-Durrmeyer operators direct andconverse theorems. 
Some progress in spectral methods Dedicated to Professor Shi Zhong-Ci on the Occasion of his 80th Birthday被引量:3
《Science China Mathematics》2013年第12期2411-2438,共28页GUO BenYu 
supported by National Natural Science Foundation of China(Grant No.11171227);Fund for Doctoral Authority of China(Grant No.20123127110001);Fund for E-institute of Shanghai Universities(Grant No.E03004);Leading Academic Discipline Project of Shanghai Municipal Education Commission(Grant No.J50101)
In this paper, we review some results on the spectral methods. We first consider the Jacobi spectral method and the generalized Jacobi spectral method for various problems, including degenerated and singular different...
关键词:JACOBI Hermite and Laguerre spectral approximations Jacobi and Laguerre quasi-orthogonalapproximations spectral and spectral element methods degenerated and singular problems problems on non-rectangular and unbounded domains problems of non-standard type exterior problems 
HIGH ACCURACY ARITHMETIC AVERAGE TYPE DISCRETIZATION FOR THE SOLUTION OF TWO-SPACE DIMENSIONAL NONLINEAR WAVE EQUATIONS
《International Journal of Modeling, Simulation, and Scientific Computing》2012年第2期1-18,共18页R.K.MOHANTY VENU GOPAL 
“The University of Delhi”under research grant No.Dean(R)/R&D/2010/1311.
In this paper,we propose a new high accuracy discretization based on the ideas given by Chawla and Shivakumar for the solution of two-space dimensional nonlinear hyper-bolic partial differential equation of the form u...
关键词:Nonlinear hyperbolic equation variable coefficients arithmetic average type approximation wave equation in polar coordinates van der Pol equation telegraphic equation maximum absolute errors. 
Stable Routh-Padé-type approximation in model reduction of interval systems
《Journal of Shanghai University(English Edition)》2010年第5期369-373,共5页顾传青 杨健 
Project supported by the National Natural Science Foundation of China (Grant No.10271074);the Shanghai Leading Academic Discipline Project (Grant No.J50101)
An interval Pade-type approximation is introduced and then Routh-Pade-type method (IRPTM) is presented to model reduction in interval systems. The denominator in reduced model is obtained from the stable Routh table...
关键词:interval system model reduction Routh-table Pade-type approximant Routh-Pad6-type method 
Least-squares function-valued Padé-type approximation and its application in solving integral equations被引量:1
《Journal of Shanghai University(English Edition)》2010年第1期66-70,共5页潘宝珍 刘利九 
supported by the Shanghai Leading Academic Discipline Project (Grant No.J50101)
To solve the Fredholm integral equations of the second kind, a new notion of the least-squares orthogonal polyno- mials of function-valued Pade-type approximation is introduced. On the basis of the error formula, the ...
关键词:least-squaxes orthogonal polynomial function-valued Pade-type approximation Fredholm integral equation 
L^p(K)Approximation Problems in System Identification with RBF Neural Networks
《Journal of Mathematical Research and Exposition》2009年第1期124-128,共5页NAN Dong LONG Jin Ling 
Foundation item: tile National Natural Science Foundation of China (No. 10471017).
L^p approximation problems in system identification with RBF neural networks are investigated. It is proved that by superpositions of some functions of one variable in L^ploc(R), one can approximate continuous funct...
关键词:RBF neural networks system identification LP-approximation continuous functionals and operators. 
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