Articles citing this article

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:

Energy-conserving SAV-Hermite–Galerkin spectral scheme with time adaptive method for coupled nonlinear Klein–Gordon system in multi-dimensional unbounded domains

Xiaohao Zhang, Liquan Mei and Shimin Guo
Journal of Computational and Applied Mathematics 454 116204 (2025)
https://doi.org/10.1016/j.cam.2024.116204

Survey of Hermite Interpolating Polynomials for the Solution of Differential Equations

Archna Kumari and Vijay K. Kukreja
Mathematics 11 (14) 3157 (2023)
https://doi.org/10.3390/math11143157

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)
https://doi.org/10.1016/j.apnum.2022.01.003

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)
https://doi.org/10.1007/s42967-019-00027-8

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)
https://doi.org/10.1016/j.amc.2018.09.024

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)
https://doi.org/10.1016/j.apnum.2017.10.006

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)
https://doi.org/10.4208/eajam.310315.120716a

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)
https://doi.org/10.1080/10407790.2016.1173497

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)
https://doi.org/10.4208/eajam.231015.240816a

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)
https://doi.org/10.1155/2016/7045657

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)
https://doi.org/10.3846/13926292.2014.929057

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)
https://doi.org/10.1002/num.20699

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)
https://doi.org/10.1016/j.cnsns.2010.03.022

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)
https://doi.org/10.1137/090773581

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)
https://doi.org/10.1007/s10255-010-0004-3

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)
https://doi.org/10.1016/j.cpc.2010.02.018

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)
https://doi.org/10.1002/num.20203

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)
https://doi.org/10.1007/s10444-003-7608-6

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)
https://doi.org/10.1016/j.cpc.2006.07.004

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)
https://doi.org/10.1016/j.cam.2005.01.017

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)
https://doi.org/10.1016/j.cam.2004.12.008

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)
https://doi.org/10.1137/S0036142903421278

Spectral and Pseudospectral Approximations Using Hermite Functions: Application to the Dirac Equation

Ben-yu Guo, Jie Shen and Cheng-long Xu
Advances in Computational Mathematics 19 (1-3) 35 (2003)
https://doi.org/10.1023/A:1022892132249