Some progress in spectral methods
BY Guo - Science China Mathematics, 2013 - Springer
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 …
spectral method and the generalized Jacobi spectral method for various problems, including …
Generalized Hermite spectral method matching different algebraic decay at infinities
B Guo, C Zhang - Journal of Scientific Computing, 2015 - Springer
In this paper, we propose a new generalized Hermite spectral method. We introduce an
orthogonal family of new generalized Hermite functions, with the weight function (1+ 2 …
orthogonal family of new generalized Hermite functions, with the weight function (1+ 2 …
Spectral method for Navier–Stokes equations with non-slip boundary conditions by using divergence-free base functions
B Guo, Y Jiao - Journal of Scientific Computing, 2016 - Springer
In this paper, we propose a spectral method for the n-dimensional Navier–Stokes equations
with non-slip boundary conditions by using the divergence-free base functions. The …
with non-slip boundary conditions by using the divergence-free base functions. The …
Spectral method for multi-dimensional problems of high order on unbounded domains using generalized Laguerre functions
C Zhang, D Tao, P Ding - International Journal of Computer …, 2021 - Taylor & Francis
More and more attention has been paid to numerical methods for problems on unbounded
domains. In this paper, a spectral method using generalized Laguerre functions is proposed …
domains. In this paper, a spectral method using generalized Laguerre functions is proposed …