Results 11 to 20 of about 21,259 (289)
On Well-Conditioned Spectral Collocation and Spectral Methods by the Integral Reformulation [PDF]
SIAM Journal on Scientific Computing, 2016 17 pages, 8 ...
Kui Du
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Legendre spectral-collocation method for solving some types of fractional optimal control problems. [PDF]
J Adv Res, 2015 Sweilam NH, Al-Ajami TM.
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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
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Известия Иркутского государственного университета: Серия "Математика", 2023 This paper introduces a new numerical technique based on the implicit spectral collocation method and the fractional Chelyshkov basis functions for solving the fractional Fredholm integro-differential equations. The framework of the proposed method is to
Y. Talaei +2 more
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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
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Mathematics, 2022 This article is concerned with the numerical solution of three-dimensional elliptic partial differential equations (PDEs) using the trivariate spectral collocation approach based on the Kronecker tensor product.
Musawenkhosi Patson Mkhatshwa +1 more
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A collocation spectral method for two-dimensional Sobolev equations
Boundary Value Problems, 2018 This article mainly studies a collocation spectral method for two-dimensional (2D) Sobolev equations. To this end, a collocation spectral model based on the Chebyshev polynomials for the 2D Sobolev equations is first established. And then, the existence,
Shiju Jin, Zhendong Luo
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Convergence of spectral methods for hyperbolic initial-boundary value systems [PDF]
, 1987 A convergence proof for spectral approximations is presented for hyperbolic systems with initial and boundary conditions. The Chebyshev collocation is treated in detail, but the final result is readily applicable to other spectral methods, such as ...
Gottlieb, D., Lustman, L., Tadmor, E.
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A Crank–Nicolson collocation spectral method for the two-dimensional telegraph equations
Journal of Inequalities and Applications, 2018 In this paper, we mainly focus to study the Crank–Nicolson collocation spectral method for two-dimensional (2D) telegraph equations. For this purpose, we first establish a Crank–Nicolson collocation spectral model based on the Chebyshev polynomials for ...
Yanjie Zhou, Zhendong Luo
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Preconditioning Legendre Spectral Collocation Approximations to Elliptic Problems [PDF]
SIAM Journal on Numerical Analysis, 1995 Bilinear finite element preconditioners for Legendre spectral collocation schemes are investigated. The work deals with \(H^1\) condition numbers of the preconditioned operators for elliptic problems. The singular values of the preconditioned spectral operators are explicitly calculated. The efficiency of a damped Jacobi iterative method (like GMRES or
Parter, Seymour V., Rothman, Ernest E.
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