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20092025
most citedOn the mathematically reliable long-term simulation of chaos of Lorenz equation in the interval [0,10000]

79 citations

Showing 2016Show all

5 papers · 1 filter

math.NA2016★ 19 cited

On the homotopy analysis method for backward/forward-backward stochastic differential equations

Xiaoxu Zhong, Shijun Liao

In this paper, an analytic approximation method for highly nonlinear equations, namely the homotopy analysis method (HAM), is employed to solve some backward stochastic differentia…

math.NA2016★ 14 cited

On the Generalized Wavelet-Galerkin Method

Zhaochen Yang, Shijun Liao

In the frame of the traditional wavelet-Galerkin method based on the compactly supported wavelets, it is important to calculate the so-called connection coefficients that are some…

math.CO2016★ 15 cited

-log-convexity from linear transformations and polynomials with only real zeros

Bao-Xuan Zhu

In this paper, we mainly study the stability of iterated polynomials and linear transformations preserving the strong -log-convexity of polynomials Let be…

physics.flu-dyn2016★ 24 cited

Observation of two coupled Faraday waves in a vertically vibrating Hele-Shaw cell with one of them oscillating horizontally

Xiaochen Li, Xiaoming Li, Shijun Liao

A system of two-dimensional, two coupled Faraday interfacial waves is experimentally observed at the two interfaces of the three layers of fluids (air, pure ethanol and silicon oil…

math.AP2016★ 23 cited

Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure (II): Equations in Integral Form

Xiaoxu Zhong, Shijun Liao

In this paper, the homotopy analysis method (HAM) is successfully applied to solve the Von Karman's plate equations in the integral form for a circular plate with the clamped bound…