Results 31 to 40 of about 21,259 (289)

A High-Efficiency Spectral Method for Two-Dimensional Ocean Acoustic Propagation Calculations

Entropy, 2021
The accuracy and efficiency of sound field calculations highly concern issues of hydroacoustics. Recently, one-dimensional spectral methods have shown high-precision characteristics when solving the sound field but can solve only simplified models of ...
Xian Ma, Yongxian Wang, Xiaoqian Zhu, Wei Liu, Wenbin Xiao, Qiang Lan   +5 more
doaj   +1 more source

On the bivariate spectral quasi-linearization method for solving the two-dimensional Bratu problem

Open Physics, 2018
In this paper, a bivariate spectral quasi-linearization method is used to solve the highly non-linear two dimensional Bratu problem. The two dimensional Bratu problem is also solved using the Chebyshev spectral collocation method which uses Kronecker ...
Muzara Hillary, Shateyi Stanford, Tendayi Marewo Gerald   +2 more
doaj   +1 more source

Spectral collocation solutions to multiparameter Mathieu’s system

Applied Mathematics and Computation, 2012
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gheorghiu, C.I., Hochstenbach, M.E., Plestenjak, Bor, Rommes, J.   +3 more
openaire   +5 more sources

Space-Time Spectral Collocation Algorithm for the Variable-Order Galilei Invariant Advection Diffusion Equations with a Nonlinear Source Term

Mathematical Modelling and Analysis, 2017
This paper presents a space-time spectral collocation technique for solving the variable-order Galilei invariant advection diffusion equation with a nonlinear source term (VO-NGIADE).
Mohamed A. Abd-Elkawy, Rubayyi T. Alqahtani   +1 more
doaj   +1 more source

Numerical approach for high precision 3-D relativistic star models [PDF]

, 1998
A multi-domain spectral method for computing very high precision 3-D stellar models is presented. The boundary of each domain is chosen in order to coincide with a physical discontinuity (e.g. the star's surface).
C. Canuto, D. Gottlieb, E. Gourgoulhon, E. Gourgoulhon, E. Gourgoulhon, Eric Gourgoulhon, J-A. Marck, J-O. Goussard, J-O. Goussard, J. Novak, Jean-Alain Marck, K. Uryu, M. Bocquet, M. Salgado, M. Salgado, P. Haensel, P. Haensel, S. Bonazzola, S. Bonazzola, S. Bonazzola, S. Bonazzola, S. Bonazzola, S. Bonazzola, S. Bonazzola, S. Bonazzola, S. Bonazzola, S. Chandrasekhar, S. Wolfram, Silvano Bonazzola, U.M. Schaudt, Y. Eriguchi, Y. Eriguchi   +31 more
core   +2 more sources

On $hp$-Convergence of PSWFs and A New Well-Conditioned Prolate-Collocation Scheme

, 2013
The first purpose of this paper is to provide a rigorous proof for the nonconvergence of $h$-refinement in $hp$-approximation by the PSWFs, a surprising convergence property that was first observed by Boyd et al [J. Sci. Comput., 2013].
Wang, Li-Lian, Zhang, Jing, Zhang, Zhimin   +2 more
core   +1 more source

A Conservative Crank-Nicolson Fourier Spectral Method for the Space Fractional Schrödinger Equation with Wave Operators

Journal of Function Spaces, 2021
In this paper, the Crank-Nicolson Fourier spectral method is proposed for solving the space fractional Schrödinger equation with wave operators. The equation is treated with the conserved Crank-Nicolson Fourier Galerkin method and the conserved Crank ...
Lei Zhang, Rui Yang, Li Zhang, Lisha Wang   +3 more
doaj   +1 more source

A second-order continuity domain-decomposition technique based on integrated Chebyshev polynomials for two-dimensional elliptic problems [PDF]

, 2008
This paper presents a second-order continuity non-overlapping domain decomposition (DD) technique for numerically solving second-order elliptic problems in two-dimensional space.
Mai-Duy, Nam, Tran-Cong, Thanh
core   +2 more sources

ADI-Spectral Collocation Methods for Two-Dimensional Parabolic Equations

East Asian Journal on Applied Mathematics, 2020
Summary: ADI-spectral collocation methods for two-dimensional parabolic equations on bounded and unbounded domains are studied. A spectral collocation scheme is adopted for spatial discretisation and the Crank-Nicolson ADI scheme is used for time discretisation.
Gu, Dong-Qin, Zhang, Chao, Wang, Zhong-Qing   +2 more
openaire   +2 more sources

Numerical approximation of space-fractional diffusion equation using Laguerre spectral collocation method

International Journal of Mathematics for Industry
The space-fractional diffusion equation is extensively used to model various issues in engineering and mathematics. This paper addresses the numerical approximation of the space-fractional-order diffusion equation, using a fractional operator in the ...
Minilik Ayalew, Mekash Ayalew, Mulualem Aychluh   +2 more
doaj   +1 more source