Results 271 to 280 of about 3,194 (297)

Least‐squares spectral collocation method for the Stokes equations

Numerical Methods for Partial Differential Equations, 2003
AbstractFirst‐order system least‐squares spectral collocation methods are presented for the Stokes equations by adopting the first‐order system and modifying the least‐squares functionals in 2. Then homogeneous Legendre and Chebyshev (continuous and discrete) functionals are shown to be elliptic and continuous with respect to appropriate product ...
Kim, Sang Dong, Lee, Hyung-Chun, Shin, Byeong Chun   +2 more
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A Chebyshev Spectral Collocation Method for the Solution of the Reynolds Equation of Lubrication

Journal of Computational Physics, 1993
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Raad, P. E., Karageorghis, Andreas, Raad, P. E., Karageorghis, Andreas   +3 more
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A Nonoverlapping Domain Decomposition Method for Legendre Spectral Collocation Problems

Journal of Scientific Computing, 2007
This paper deals with the Legendre spectral collocation method in a non-overlapping domain decomposition version to solve Poisson's equation in an \(L\)-shaped region. The collocation equations use Gauss-Legendre nodes instead of the more usual Gauss-Legendre-Lobatto points. The problem is decoupled into several independent steps.
Bialecki, B., Karageorghis, Andreas, Bialecki, B., Karageorghis, Andreas   +3 more
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Spectral Collocation Methods for Differential-Algebraic Equations with Arbitrary Index

Journal of Scientific Computing, 2013
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Can Huang, Zhimin Zhang 0002
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Spectral collocation solutions to systems of boundary layer type

Numerical Algorithms, 2015
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Spectral Collocation Solutions to a Class of Pseudo-parabolic Equations

2019
In this paper we solve by method of lines (MoL) a class of pseudo-parabolic PDEs defined on the real line. The method is based on the sinc collocation (SiC) in order to discretize the spatial derivatives as well as to incorporate the asymptotic behavior of solution at infinity.
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Spectral Analysis of Hermite Cubic Spline Collocation Systems

SIAM Journal on Numerical Analysis, 1999
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A Spectral Collocation Technique for the Solution of the Wigner–Poisson Problem

SIAM Journal on Numerical Analysis, 1992
A numerical method for solving the coupled Wigner-Poisson system of nonlinear pseudodifferential equations is proposed and its numerical properties are analyzed. The paper extends a known mixed difference- spectral method in the case of a known potential function in a straightforward way to computing the potential by solving the Poisson equation ...
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Spectral collocation method for the solution of the generalized Burger–Fisher equation

Applied Mathematics and Computation, 2006
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A Collocation Approach for the Spectral Element Method

Proceedings of the 8th International Symposium on Solid Mechanics, 2022
Nivaldo Campos, Jose Maria Campos dos Santos   +1 more
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