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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...
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...
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...
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...
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...
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...
“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...
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...
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 ...
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...