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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
Common Coauthors
Coauthor
Papers Together
Qian Tong
1
Lina Wang
1
Mingzhu Zhang
1
Commonly Cited References
Action
Title
Year
Authors
# of times referenced
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A spectral collocation method for solving initial value problems of first order ordinary differential equations
2010
Benāyu Guo
Zhongqing Wang
1
+
Numerical integration of ordinary differential equations based on trigonometric polynomials
1961
Walter Gautschi
1
+
PDF
Chat
Long-Time Energy Conservation of Numerical Methods for Oscillatory Differential Equations
2000
Ernst Hairer
Christian Lubich
1
+
Tension spline approach for the numerical solution of nonlinear KleināGordon equation
2009
Jalil Rashidinia
Reza Mohammadi
1
+
LegendreāGauss collocation methods for ordinary differential equations
2008
Benāyu Guo
Zhongqing Wang
1
+
PDF
Chat
An $hp$-Version Discontinuous Galerkin Method for Integro-Differential Equations of Parabolic Type
2011
Kassem Mustapha
Hermann Brunner
H. Mustapha
Dominik Schƶtzau
1
+
Numerical integration based on LaguerreāGauss interpolation
2007
Guo Benāyu
Zhongqing Wang
1
+
Differential quadrature solution of nonlinear KleināGordon and sine-Gordon equations
2012
Bengisen Pekmen Geridƶnmez
M. TezerāSezgin
1
+
Space-time spectral element method for solution of second-order hyperbolic equations
1994
Uzi Zrahia
P. BarāYoseph
1
+
PDF
Chat
Spectral Methods in Time for Hyperbolic Equations
1986
Hillel TalāEzer
1
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Numerical solution of the nonlinear KleināGordon equation using radial basis functions
2008
Mehdi Dehghan
Ali Shokri
1
+
PDF
Chat
Spectral Methods in Time for Parabolic Problems
1989
Hillel TalāEzer
1
+
PDF
Chat
Time Discretization of Parabolic Problems by the HP-Version of the Discontinuous Galerkin Finite Element Method
2000
Dominik Schƶtzau
Christoph Schwab
1
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Legendre-Gauss-Radau Collocation Method for Solving Initial Value Problems of First Order Ordinary Differential Equations
2011
Zhongqing Wang
Benāyu Guo
1
+
An A Priori Error Analysis of the hp-Version of the Continuous Galerkin FEM for Nonlinear Initial Value Problems
2005
Thomas P. Wihler
1
+
A Legendre spectral method in time for first-order hyperbolic equations
2006
Jianguo Tang
Heping Ma
1
+
LegendreāGauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations
2013
Lijun Yi
Zhongqing Wang
1
+
EXPLICIT EIGHTH ORDER TWO-STEP METHODS WITH NINE STAGES FOR INTEGRATING OSCILLATORY PROBLEMS
2006
Ch. Tsitouras
1
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Numerical Methods for Ordinary Differential Systems: The Initial Value Problem
1991
J. D. Lambert
1
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A Collocation Method for Initial Value Problems of Second-Order ODEs by Using Laguerre Functions
2011
Jianping Yan
Benāyu Guo
1
+
A LegendreāGaussāRadau spectral collocation method for first order nonlinear delay differential equations
2015
Lijun Yi
Zhongqing Wang
1
+
PDF
Chat
Legendre spectral collocation method for second-order nonlinear ordinary/partial differential equations
2013
Lijun Yi
Zhongqing Wang
1
+
Laguerre-Gauss collocation method for initial value problems of second order ODEs
2011
Jianping Yan
Benāyu Guo
1
+
Legendre spectral collocation in space and time for PDEs
2016
S. H. Lui
1
+
A class of explicit high-order exponentially-fitted two-step methods for solving oscillatory IVPs
2018
J.M. Franco
L. RƔndez
1
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New spaceātime spectral and structured spectral element methods for high order problems
2018
Chao Zhang
Hanfeng Yao
Huiyuan Li
1
+
PDF
Chat
$hp$-Version Space-Time Discontinuous Galerkin Methods for Parabolic Problems on Prismatic Meshes
2017
Andrea Cangiani
Zhaonan Dong
Emmanuil H. Georgoulis
1
+
PDF
Chat
An Efficient Spectral Petrov-Galerkin Method for Nonlinear Hamiltonian Systems
2019
Jing An Jing An
Waixiang Cao
Zhimin Zhang
1
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Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations
2020
Yonghui Qin
Heping Ma
1
+
A class of efficient spectral methods and error analysis for nonlinear Hamiltonian systems
2020
Jing An
Waixiang Cao
Zhimin Zhang
1
+
An hp-version of the C0-continuous Petrov-Galerkin time stepping method for nonlinear second-order initial value problems
2020
Yichen Wei
Lijun Yi
1
+
Spectral collocation in space and time for linear PDEs
2020
S. H. Lui
Sarah Nataj
1
+
Numerical Methods for Ordinary Differential Equations
2008
J. C. Butcher
1
+
Spectral Methods: Algorithms, Analysis and Applications
2011
Jie Shen
Tao Tang
Li-Lian Wang
1