3 papers
math.NA2016
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…