Results 211 to 220 of about 1,226 (262)

Superconvergence of a Chebyshev Spectral Collocation Method

Journal of Scientific Computing, 2007
A Chebyshev spectral collocation method is derived for approximating the solution of the second-order two point differential boundary value problems in terms of Chebyshev polynomials \[ u_p= \sum^p_1 a_m\psi_m(x),\quad\psi_m(x)= \int^x_{-1} T_{m-1}(t)\,dt,\;m\geq 1. \] Superconvergence of the derivatives \(u_p'\) at zero's of \(T_m(x)\) is proved.
Zhimin Zhang
exaly   +3 more sources

Hamilton–Pontryagin spectral-collocation methods for the orbit propagation

Acta Mechanica Sinica, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Yi, Zhonggui, Yue, Baozeng, Deng, Mingle
openaire   +2 more sources

Fractional Spectral Collocation Method

SIAM Journal on Scientific Computing, 2014
We develop an exponentially accurate fractional spectral collocation method for solving steady-state and time-dependent fractional PDEs (FPDEs). We first introduce a new family of interpolants, called fractional Lagrange interpolants, which satisfy the Kronecker delta property at collocation points.
Mohsen Zayernouri, George E. Karniadakis
openaire   +1 more source

Spectral collocation methods for polymer brushes

The Journal of Chemical Physics, 2011
We provide an in-depth study of pseudo-spectral numerical methods associated with modeling the self-assembly of molten mixed polymer brushes in the framework of self-consistent field theory (SCFT). SCFT of molten polymer brushes has proved numerically challenging in the past because of sharp features that arise in the self-consistent pressure field at ...
Tanya L, Chantawansri   +4 more
openaire   +2 more sources

ADI spectral collocation methods for parabolic problems

Journal of Computational Physics, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bernard Bialecki, Javier de Frutos
openaire   +1 more source

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