Spectral collocation in space and time for linear PDEs

S. H. Lui, Sarah Nataj

Type: Article

Publication Date: 2020-09-14

Citations: 15

DOI: https://doi.org/10.1016/j.jcp.2020.109843

View Publication

Locations

Journal of Computational Physics - View

Similar Works

Action	Title	Year	Authors
+	Legendre spectral collocation in space and time for PDEs	2016	S. H. Lui
+	Fundamentals of Spectral Methods for PDEs	1988	Claudio Canuto M. Yousuff Hussaini Alfio Quarteroni Thomas A. Zang
+	Spectral Methods in PDE	2010	W. -M. Wang
+	A spectral collocation method for mixed functional differential equations	2020	Reuben Rauch Manfred R. Trummer Jim Williams
+	Fourier Collocation Splittings for Partial Differential Equations	1998	Bruno Costa Lucia Dettori
+	Space-time Legendre Spectral Collocation Methods	2016	Shaun Lui
+	Spectral collocation schemes on the unit disc	2004	Wilhelm Heinrichs
+	Discretization Strategies for Spectral Methods in Complex Domains	2007
+	Overlapping grid spectral collocation methods for nonlinear differential equations modelling fluid flow problems.	2020	M. P. Mkhatshwa
+ PDF Chat	Collocation Methods for Parabolic Equations in a Single Space Variable	1974	Jim Douglas Todd Dupont
+	Collocation methods with controllable dissipation for linear dynamics	2001	Massimo Mancuso Francesco Ubertini
+	Well-Conditioned Spectral Collocation Methods for Problems in Unbounded Domains	2020	Zhongqing Wang Dong-qin Gu Chao Zhang Zhongqing Wang
+ PDF Chat	Spectral filtering for improved performance of collocation discretization methods	2001	Raymond A. Adomaitis
+	ADI spectral collocation methods for parabolic problems	2010	Bernard Bialecki Javier de Frutos
+	Accurate and Efficient Spectral Methods for Elliptic PDEs in Complex Domains	2020	Yiqi Gu Jie Shen
+	Spectral difference methods for solving differential equations	1999	David A. Mazziotti
+	Spectral collocation methods for one-dimensional phase-change problems	1995	Robert E. Spall
+	Spectral Collocation Methods for Differential-Algebraic Equations with Arbitrary Index	2013	Can Huang Zhimin Zhang
+	A spectral collocation approximation of the Stokes problem with domain decomposition	1989	G. Sacchi Landriani
+	The spectral collocation method for efficiently solving PDEs with fractional Laplacian	2017	H. Peter Lu Peter W. Bates Wenping Chen Mingji Zhang

Works That Cite This (11)

Action	Title	Year	Authors
+ PDF Chat	Chebyshev spectral collocation in space and time for the heat equation	2020	S. H. Lui Sarah Nataj
+ PDF Chat	Review on Jacobi-Galerkin Spectral Method for Linear PDEs in Applied Mathematics	2024	Ramy M. Hafez Y. H. Youssri
+	Parallel-in-time preconditioners for the Sinc-Nyström method.	2021	Jun Liu Shu‐Lin Wu
+ PDF Chat	Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations	2023	Lina Wang Qian Tong Lijun Yi null Mingzhu Zhang
+	Parallel-in-time preconditioner for the Sinc-Nyström systems	2022	Jun Liu Shu‐Lin Wu
+ PDF Chat	Orthonormal Ultraspherical Operational Matrix Algorithm for Fractal–Fractional Riccati Equation with Generalized Caputo Derivative	2021	Y. H. Youssri
+	A space-time Chebyshev spectral collocation method for the reaction–dispersion equations with anti-kink-type waves	2022	Murat Sarı Hüseyin Koçak Huseyin Tunc
+	Direct and inverse problems for a 2D heat equation with a Dirichlet–Neumann–Wentzell boundary condition	2023	Mansur I. Ismailov Önder Türk
+	Fractional Romanovski–Jacobi tau method for time-fractional partial differential equations with nonsmooth solutions	2022	Howayda Abo‐Gabal Mahmoud A. Zaky E. H. Doha
+	A Legendre-tau-Galerkin method in time for two-dimensional Sobolev equations	2023	Siqin Tang Li Hong

Works Cited by This (27)

Action	Title	Year	Authors
+	None	2002	Jianguo Tang Heping Ma
+ PDF Chat	Numerical analysis of partial differential equations	2012	Charles A. Hall T. A. Porsching
+ PDF Chat	The automatic solution of partial differential equations using a global spectral method	2015	Alex Townsend Sheehan Olver
+	Space‐time spectral collocation method for the one‐dimensional sine‐<scp>G</scp>ordon equation	2014	Wenjie Liu Boying Wu Jiebao Sun
+	A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations	2000	Heping Ma Weiwei Sun
+	Global properties of pseudospectral methods	1989	Alex Solomonoff Eli Turkel
+	Legendre–Gauss collocation methods for ordinary differential equations	2008	Ben‐yu Guo Zhongqing Wang
+	Polynomial Approximation of Differential Equations.	1994	Eitan Tadmor Daniele Funaro
+	The Accuracy of the Chebyshev Differencing Method for Analytic Functions	2005	S C Reddy J. A. C. Weideman
+ PDF Chat	Spectral Methods in Time for Hyperbolic Equations	1986	Hillel Tal‐Ezer