EDP Sciences logo
Subscriber Authentication Point
Search
Menu
All issues ESAIM: M2AN, 22 3 (1988) 499-529 Article references

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:

This article has been cited by the following article(s):

Analysis of a Galerkin approach applied to a system of coupled Schrödinger equations

Luisa Fernanda Vargas and Juan Carlos Muñoz Grajales
Journal of Computational and Applied Mathematics 313 318 (2017)
DOI: 10.1016/j.cam.2016.09.030
See this article

Geometric numerical schemes for the KdV equation

D. Dutykh, M. Chhay and F. Fedele
Computational Mathematics and Mathematical Physics 53 (2) 221 (2013)
DOI: 10.1134/S0965542513020103
See this article

Optimal Error Estimates of the Legendre--Petrov--Galerkin Method for the Korteweg--de Vries Equation

Heping Ma and Weiwei Sun
SIAM Journal on Numerical Analysis 39 (4) 1380 (2001)
DOI: 10.1137/S0036142900378327
See this article

Error Analysis of a Spectral Projection of the Regularized Benjamin–Ono Equation

Henrik Kalisch
BIT Numerical Mathematics 45 (1) 69 (2005)
DOI: 10.1007/s10543-005-2636-x
See this article

Error analysis for solving the Korteweg‐de Vries equation by a Legendre pseudo‐spectral method

Jian Li, Heping Ma and Weiwei Sun
Numerical Methods for Partial Differential Equations 16 (6) 513 (2000)
DOI: 10.1002/1098-2426(200011)16:6<513::AID-NUM2>3.0.CO;2-#
See this article

Exponential convergence of a spectral projection of the KdV equation

Magnar Bjørkavåg and Henrik Kalisch
Physics Letters A 365 (4) 278 (2007)
DOI: 10.1016/j.physleta.2006.12.085
See this article

Error analysis of a Fourier–Galerkin method applied to the Schrödinger equation

Juan Carlos Muñoz Grajales and Luisa Fernanda Vargas
Applicable Analysis 95 (1) 156 (2016)
DOI: 10.1080/00036811.2014.999767
See this article

Optimal convergence of a second-order low-regularity integrator for the KdV equation

Yifei Wu and Xiaofei Zhao
IMA Journal of Numerical Analysis (2021)
DOI: 10.1093/imanum/drab054
See this article

Error estimates for a fully discrete spectral scheme for a class of nonlinear, nonlocal dispersive wave equations

Beatrice Pelloni and Vassilios A. Dougalis
Applied Numerical Mathematics 37 (1-2) 95 (2001)
DOI: 10.1016/S0168-9274(00)00027-1
See this article

Convergence of a spectral projection of the Camassa-Holm equation

Henrik Kalisch and Xavier Raynaud
Numerical Methods for Partial Differential Equations 22 (5) 1197 (2006)
DOI: 10.1002/num.20140
See this article

Embedded exponential-type low-regularity integrators for KdV equation under rough data

Yifei Wu and Xiaofei Zhao
BIT Numerical Mathematics (2021)
DOI: 10.1007/s10543-021-00895-8
See this article

A Lawson-type exponential integrator for the Korteweg–de Vries equation

Alexander Ostermann and Chunmei Su
IMA Journal of Numerical Analysis 40 (4) 2399 (2020)
DOI: 10.1093/imanum/drz030
See this article

A Legendre--Petrov--Galerkin and Chebyshev Collocation Method for Third-Order Differential Equations

Heping Ma and Weiwei Sun
SIAM Journal on Numerical Analysis 38 (5) 1425 (2000)
DOI: 10.1137/S0036142999361505
See this article

A Fourier pseudospectral method for the “good” Boussinesq equation with second-order temporal accuracy

Kelong Cheng, Wenqiang Feng, Sigal Gottlieb and Cheng Wang
Numerical Methods for Partial Differential Equations 31 (1) 202 (2015)
DOI: 10.1002/num.21899
See this article

Spectral approximation for drainage of an Elastico-viscous liquid and error analysis

F. Talay Akyildiz and Dennis A. Siginer
Numerical Methods for Partial Differential Equations 28 (2) 492 (2012)
DOI: 10.1002/num.20630
See this article

Rapid convergence of a Galerkin projection of the KdV equation

Henrik Kalisch
Comptes Rendus Mathematique 341 (7) 457 (2005)
DOI: 10.1016/j.crma.2005.09.006
See this article

Novel algorithm based on modification of Galerkin finite element method to general Rosenau-RLW equation in (2 + 1)-dimensions

N. Tamang, B. Wongsaijai, T. Mouktonglang and K. Poochinapan
Applied Numerical Mathematics 148 109 (2020)
DOI: 10.1016/j.apnum.2019.07.021
See this article

A high-order fully discrete scheme for the Korteweg–de Vries equation with a time-stepping procedure of Runge–Kutta-composition type

Vassilios A Dougalis and Ángel Durán
IMA Journal of Numerical Analysis (2021)
DOI: 10.1093/imanum/drab060
See this article

Radius of analyticity and exponential convergence for spectral projections of the generalized KdV equation

Magnar Bjørkavåg and Henrik Kalisch
Communications in Nonlinear Science and Numerical Simulation 15 (4) 869 (2010)
DOI: 10.1016/j.cnsns.2009.05.015
See this article

Convergence of a fully discrete finite difference scheme for the Korteweg–de Vries equation

Helge Holden, Ujjwal Koley and Nils Henrik Risebro
IMA Journal of Numerical Analysis 35 (3) 1047 (2015)
DOI: 10.1093/imanum/dru040
See this article

Fourier–Galerkin domain truncation method for Stokes’ first problem with Oldroyd four-constant liquid

F. Talay Akyildiz, K. Vajravelu and H. Ozekes
Computers & Mathematics with Applications 55 (11) 2452 (2008)
DOI: 10.1016/j.camwa.2007.08.039
See this article

Error estimate for a fully discrete spectral scheme for Korteweg-de Vries-Kawahara equation

Ujjwal Koley
Central European Journal of Mathematics 10 (1) 173 (2012)
DOI: 10.2478/s11533-011-0055-6
See this article

On the rate of convergence of a collocation projection of the KdV equation

Henrik Kalisch and Xavier Raynaud
ESAIM: Mathematical Modelling and Numerical Analysis 41 (1) 95 (2007)
DOI: 10.1051/m2an:2007010
See this article

A second order operator splitting numerical scheme for the “good” Boussinesq equation

Cheng Zhang, Hui Wang, Jingfang Huang, Cheng Wang and Xingye Yue
Applied Numerical Mathematics 119 179 (2017)
DOI: 10.1016/j.apnum.2017.04.006
See this article

The Galerkin method for the KdV equation using a new basis of smooth piecewise cubic polynomials

Shu-Yan Hao, Shu-Sen Xie and Su-Cheol Yi
Applied Mathematics and Computation 218 (17) 8659 (2012)
DOI: 10.1016/j.amc.2012.02.027
See this article

Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation

Sergey Shindin, Nabendra Parumasur and Olabisi Aluko
Communications in Nonlinear Science and Numerical Simulation 94 105571 (2021)
DOI: 10.1016/j.cnsns.2020.105571
See this article

A boundary value problem for the KdV equation: Comparison of finite-difference and Chebyshev methods

Jan Ole Skogestad and Henrik Kalisch
Mathematics and Computers in Simulation 80 (1) 151 (2009)
DOI: 10.1016/j.matcom.2009.06.009
See this article