Results 1 to 10 of about 836 (161)
On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation [PDF]
SIAM Journal of Scientific Computing, 2016 17 pages, 8 ...
Kui Du
exaly +4 more sources
Domain decomposition preconditioners for the spectral collocation method [PDF]
Journal of Scientific Computing, 1988 This paper proposes and analyzes several block iteration preconditioners for the solutions of elliptic problems by spectral collocation methods in a region partitioned into several rectangles. One considers a spectral collocation approximation which consists of collocating differential equations at Gaussian collocation points; and then a variational ...
Alfio Quarteroni
exaly +2 more sources
Spectral-Collocation Methods for Fractional Pantograph Delay-Integrodifferential Equations [PDF]
Advances in Mathematical Physics, 2013 We propose and analyze a spectral Jacobi-collocation approximation for fractional order integrodifferential equations of Volterra type with pantograph delay. The fractional derivative is described in the Caputo sense. We provide a rigorous error analysis
Yin Yang, Yunqing Huang
doaj +3 more sources
Spectral collocation method for convection-diffusion equation
Demonstratio MathematicaSpectral collocation method, named linear barycentric rational interpolation collocation method (LBRICM), for convection-diffusion (C-D) equation with constant coefficient is considered.
Li Jin, Cheng Yongling
doaj +2 more sources
Jacobi spectral collocation technique for fractional inverse parabolic problem
Alexandria Engineering Journal, 2022 We present an efficient numerical solution for the fractional inverse parabolic problem with an unknown condition in this study. In addition to the unknown temperature function, the suggested fractional inverse parabolic problem also has an unknown ...
M.A. Abdelkawy +3 more
doaj +1 more source
A Chebyshev-Gauss collocation method for the numerical solution of ordinary differential equations [PDF]
Songklanakarin Journal of Science and Technology (SJST), 2017 This paper presents a Chebyshev-Gauss collocation method to determine an approximate solution to the initial value problems of ordinary differential equations.
Kanyakorn Cheuprasert, Nairat Kanyamee
doaj +1 more source
Spectral collocation methods [PDF]
Applied Numerical Mathematics, 1989 This is a survey article on the application of spectral collocation methods to the solution of partial differential equations. For the most part, the basis functions used are either trigonometric or Chebyshev polynomials, although there is some discussion of Legendre polynomials.
Hussaini, M. Y. +2 more
openaire +2 more sources
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 +5 more
doaj +1 more source
Computation, 2023 We propose two accurate and efficient spectral collocation techniques based on a (novel) domain-splitting strategy to handle a nonlinear fractional system consisting of three ODEs arising in financial modeling and with chaotic behavior.
Mohammad Izadi, Hari Mohan Srivastava
doaj +1 more source
A Spectral Method for Two-Dimensional Ocean Acoustic Propagation
Journal of Marine Science and Engineering, 2021 The accurate calculation of the sound field is one of the most concerning issues in hydroacoustics. The one-dimensional spectral method has been used to correctly solve simplified underwater acoustic propagation models, but it is difficult to solve ...
Xian Ma +5 more
doaj +1 more source