The Citing articles tool gives a list of articles citing the current article.
The citing articles come from EDP Sciences database, as well as other publishers participating in CrossRef Cited-by Linking Program. You can set up your personal account to receive an email alert each time this article is cited by a new article (see the menu on the right-hand side of the abstract page).
Cited article:
Ben-yu Guo, Cheng-long Xu
ESAIM: M2AN, 34 4 (2000) 859-872
Published online: 2002-04-15
This article has been cited by the following article(s):
Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations
Archna Kumari and Vijay K. Kukreja
Mathematics 11 (14) 3157 (2023)
DOI: 10.3390/math11143157
See this article
A fully discrete pseudospectral method for the nonlinear Fokker-Planck equations on the whole line
Tian-jun Wang and Guo Chai
Applied Numerical Mathematics 174 17 (2022)
DOI: 10.1016/j.apnum.2022.01.003
See this article
A Semi-Lagrangian Spectral Method for the Vlasov–Poisson System Based on Fourier, Legendre and Hermite Polynomials
Lorella Fatone, Daniele Funaro and Gianmarco Manzini
Communications on Applied Mathematics and Computation 1 (3) 333 (2019)
DOI: 10.1007/s42967-019-00027-8
See this article
Pseudospectral method for non-isotropic heat transfer using mixed Hermite-Legendre interpolation
Chao Zhang and Tian-jun Wang
Applied Mathematics and Computation 343 328 (2019)
DOI: 10.1016/j.amc.2018.09.024
See this article
Computational Methods in Physics
Simon Širca and Martin Horvat
Graduate Texts in Physics, Computational Methods in Physics 643 (2018)
DOI: 10.1007/978-3-319-78619-3_11
See this article
Mixed generalized Hermite–Fourier spectral method for Fokker–Planck equation of periodic field
Guo Chai and Tian-jun Wang
Applied Numerical Mathematics 133 25 (2018)
DOI: 10.1016/j.apnum.2017.10.006
See this article
Chebyshev rational spectral method for long-short wave equations
Zeting Liu and Shujuan Lü
International Journal of Computer Mathematics 94 (12) 2315 (2017)
DOI: 10.1080/00207160.2017.1283023
See this article
A fully discrete pseudospectral method for Fisher's equation on the whole line
Tian-jun Wang and Yu-jian Jiao
Applied Numerical Mathematics 120 243 (2017)
DOI: 10.1016/j.apnum.2017.06.002
See this article
Mixed Spectral Method for Heat Transfer Using Generalised Hermite Functions and Legendre Polynomials
Tian-Jun Wang, Chao Zhang and Qiong Zhang
East Asian Journal on Applied Mathematics 6 (4) 448 (2016)
DOI: 10.4208/eajam.231015.240816a
See this article
New unconditionally stable scheme for solving the convection–diffusion equation based on the Associated Hermite orthogonal functions
Di Zhang and Xiao-Ping Miao
Numerical Heat Transfer, Part B: Fundamentals 70 (1) 80 (2016)
DOI: 10.1080/10407790.2016.1173497
See this article
A Fully Discrete Spectral Method for Fisher’s Equation on the Whole Line
Yu-Jian Jiao, Tian-Jun Wang and Qiong Zhang
East Asian Journal on Applied Mathematics 6 (4) 400 (2016)
DOI: 10.4208/eajam.310315.120716a
See this article
A New Unconditionally Stable Method for Telegraph Equation Based on Associated Hermite Orthogonal Functions
Di Zhang, Fusheng Peng and Xiaoping Miao
Advances in Mathematical Physics 2016 1 (2016)
DOI: 10.1155/2016/7045657
See this article
Generalized Hermite Spectral Method Matching Different Algebraic Decay at infinities
Ben-yu Guo and Chao Zhang
Journal of Scientific Computing 65 (2) 648 (2015)
DOI: 10.1007/s10915-014-9981-3
See this article
Composite Spectral Method for Exterior Problems with Polygonal Obstacles
Ben-Yu Guo and Xu-Hong Yu
Journal of Scientific Computing 59 (2) 439 (2014)
DOI: 10.1007/s10915-013-9769-x
See this article
A TRUNCATION METHOD BASED ON HERMITE EXPANSION FOR UNKNOWN SOURCE IN SPACE FRACTIONAL DIFFUSION EQUATION
Zhenyu Zhao, Ou Xiea, Lei You and Zehong Meng
Mathematical Modelling and Analysis 19 (3) 430 (2014)
DOI: 10.3846/13926292.2014.929057
See this article
Generalized Hermite spectral method matching asymptotic behaviors
Chao Zhang and Ben-yu Guo
Journal of Computational and Applied Mathematics 255 616 (2014)
DOI: 10.1016/j.cam.2013.06.018
See this article
A Hermite pseudospectral solver for two-dimensional incompressible flows on infinite domains
Zhaohua Yin
Journal of Computational Physics 258 371 (2014)
DOI: 10.1016/j.jcp.2013.10.039
See this article
Some progress in spectral methods
BenYu Guo
Science China Mathematics 56 (12) 2411 (2013)
DOI: 10.1007/s11425-013-4660-7
See this article
Numerical Solution of Parabolic Equation on a 2-D Infinite Strip with Composite Hermite-Legendre Spectral Method
Ting Jing Zhao
Advanced Materials Research 647 875 (2013)
DOI: 10.4028/www.scientific.net/AMR.647.875
See this article
Spectral methods based on Hermite functions for linear hyperbolic equations
Julián Aguirre and Judith Rivas
Numerical Methods for Partial Differential Equations 28 (5) 1696 (2012)
DOI: 10.1002/num.20699
See this article
Computational Methods for Physicists
Simon Širca and Martin Horvat
Graduate Texts in Physics, Computational Methods for Physicists 575 (2012)
DOI: 10.1007/978-3-642-32478-9_11
See this article
Hermite spectral and pseudospectral methods for numerical differentiation
Zhenyu Zhao and Junfeng Liu
Applied Numerical Mathematics 61 (12) 1322 (2011)
DOI: 10.1016/j.apnum.2011.09.006
See this article
Xiao-yong Zhang, T. Chaoluis and Jiang Hua Sui
301 (2011)
DOI: 10.1109/CyberC.2011.102
See this article
An approximate solution of the MHD Falkner–Skan flow by Hermite functions pseudospectral method
K. Parand, A.R. Rezaei and S.M. Ghaderi
Communications in Nonlinear Science and Numerical Simulation 16 (1) 274 (2011)
DOI: 10.1016/j.cnsns.2010.03.022
See this article
A class Hermite pseudospectral approximate with ω(x) ≡ 1 and application to reaction-diffusion equation
Xin-min Xiang
Acta Mathematicae Applicatae Sinica, English Series 26 (3) 405 (2010)
DOI: 10.1007/s10255-010-0004-3
See this article
An approximation algorithm for the solution of the nonlinear Lane–Emden type equations arising in astrophysics using Hermite functions collocation method
K. Parand, Mehdi Dehghan, A.R. Rezaei and S.M. Ghaderi
Computer Physics Communications 181 (6) 1096 (2010)
DOI: 10.1016/j.cpc.2010.02.018
See this article
Generalized Hermite Spectral Method and its Applications to Problems in Unbounded Domains
Xin-min Xiang and Zhong-qing Wang
SIAM Journal on Numerical Analysis 48 (4) 1231 (2010)
DOI: 10.1137/090773581
See this article
Yu Huang, Chenglong Xu and Yingwei Wang
401 (2009)
DOI: 10.1109/ICISE.2009.1084
See this article
A stabilized Hermite spectral method for second-order differential equations in unbounded domains
Heping Ma and Tinggang Zhao
Numerical Methods for Partial Differential Equations 23 (5) 968 (2007)
DOI: 10.1002/num.20203
See this article
Stair Laguerre pseudospectral method for differential equations on the half line
Li-lian Wang and Ben-yu Guo
Advances in Computational Mathematics 25 (1-3) 305 (2006)
DOI: 10.1007/s10444-003-7608-6
See this article
Numerical solution of the Vlasov–Poisson system using generalized Hermite functions
S. Le Bourdiec, F. de Vuyst and L. Jacquet
Computer Physics Communications 175 (8) 528 (2006)
DOI: 10.1016/j.cpc.2006.07.004
See this article
Hermite pseudospectral approximations. An error estimate
Julián Aguirre and Judith Rivas
Journal of Mathematical Analysis and Applications 304 (1) 189 (2005)
DOI: 10.1016/j.jmaa.2004.09.013
See this article
A new generalized Laguerre spectral approximation and its applications
Guo Ben-yu and Zhang Xiao-yong
Journal of Computational and Applied Mathematics 181 (2) 342 (2005)
DOI: 10.1016/j.cam.2004.12.008
See this article
A new generalized Laguerre spectral approximation and its applications
Guo Ben-yu and Zhang Xiao-yong
Journal of Computational and Applied Mathematics 184 (2) 382 (2005)
DOI: 10.1016/j.cam.2005.01.017
See this article
Hermite Spectral Methods with a Time-Dependent Scaling for Parabolic Equations in Unbounded Domains
Heping Ma, Weiwei Sun and Tao Tang
SIAM Journal on Numerical Analysis 43 (1) 58 (2005)
DOI: 10.1137/S0036142903421278
See this article