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- Zongmin Wu
- 2002

- Ronghua Chen, Zongmin Wu
- Applied Mathematics and Computation
- 2007

In this paper, we use a kind of univariate multiquadric (MQ) quasi-interpolation to solve partial differential equation (PDE). We obtain the numerical scheme, by using the derivative of the quasi-interpolation to approximate the spatial derivative of the dependent variable and a low order forward difference to approximate the temporal derivative of the… (More)

- Ronghua Chen, Zongmin Wu
- Applied Mathematics and Computation
- 2006

- Zongmin Wu
- 2000

- Zongmin Wu
- 2000

- Weixiang Zhang, Zongmin Wu
- GMP
- 2004

Based on the definition of MQ-B-Splines, this article constructs five types of univariate quasi-interpolants to non-uniformly distributed data. The error estimates and the shape-preserving properties are shown in details. And examples are shown to demonstrate the capacity of the quasiinterpolants for curve representation.

Under mild additional assumptions this paper constructs quasi -interpolants in the form f h (x) = +1 X j= 1 f(hj)' h x h j ; x 2 IR; h > 0 (0.1) with approximation order ` 1, where ' h (x) is a linear combination of translates (x jh) of a function in C ` (IR). Thus the order of convergence of such operators can be pushed up to a limit that only depends on… (More)

- Limin Ma, Zongmin Wu
- Applied Mathematics and Computation
- 2009

In this paper, we study several radial basis function approximation schemes in Sobolev spaces. We obtain an optional error estimate by using a class of smoothing operators. We also discussed sufficient conditions for the smoothing operators to attain the desired approximation order. We then construct the smoothing operators by some compactly supported… (More)

- Ronghua Chen, Xuli Han, Zongmin Wu
- J. Computational Applied Mathematics
- 2009

- Qinjiao Gao, Zongmin Wu, Shenggang Zhang
- Computers & Mathematics with Applications
- 2011