most citedTrigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations

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math.NA2016★ 94 cited

Trigonometric collocation methods based on Lagrange basis polynomials for multi-frequency oscillatory second-order differential equations

Bin Wang, Xinyuan Wu, Fanwei Meng

In the present work, a kind of trigonometric collocation methods based on Lagrange basis polynomials is developed for effectively solving multi-frequency oscillatory second-order d…

math.NA2016

Exponential Fourier collocation methods for solving first-order differential equations

Bin Wang, Xinyuan Wu, Fanwei Meng +1

In this paper, a novel class of exponential Fourier collocation methods (EFCMs) is presented for solving systems of first-order ordinary differential equations. These so-called exp…

math.NA2016

Efficient implementation of RKN-type Fourier collocation methods for second-order differential equations

Bin Wang, Fanwei Meng, Yonglei Fang

In this paper we discuss the efficient implementation of RKN-type Fourier collocation methods, which are used when solving second-order differential equations. The proposed impleme…