Solving the systems of equations arising in the discretization of some nonlinear p.d.e.'s by implicit Runge-Kutta methods
ESAIM: M2AN, 31 2 (1997) 251-287
Published online: 2017-01-31
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):
On the convergence of a linearly implicit finite element method for the nonlinear Schrödinger equation
Mohammad Asadzadeh and Georgios E. ZourarisStudies in Applied Mathematics (2024)
https://doi.org/10.1111/sapm.12743
Interaction with an obstacle in the 2D focusing nonlinear Schrödinger equation
Oussama Landoulsi, Svetlana Roudenko and Kai YangAdvances in Computational Mathematics 49 (5) (2023)
https://doi.org/10.1007/s10444-023-10055-x
Structure-preserving Gauss methods for the nonlinear Schrödinger equation
Georgios Akrivis and Dongfang LiCalcolo 58 (2) (2021)
https://doi.org/10.1007/s10092-021-00405-w
Analysis of the error of approximation of two-layer difference schemes for the Korteweg de Vries equation
Elena Nikolaevna Bykovskaya, Alexander Viktorovich Shapranov and Vladimir Ivanovich MazhukinKeldysh Institute Preprints (1) 1 (2021)
https://doi.org/10.20948/prepr-2021-1
Relay-Zone Technique for Numerical Boundary Treatments in Simulating Dark Solitons
Lei Bian and Shaoqiang TangMultiscale Science and Engineering 1 (3) 210 (2019)
https://doi.org/10.1007/s42493-018-00002-0
ANALYSIS OF A RELAXATION SCHEME FOR A NONLINEAR SCHRÖDINGER EQUATION OCCURRING IN PLASMA PHYSICS
Dietmar Oelz and Saber TrabelsiMathematical Modelling and Analysis 19 (2) 257 (2014)
https://doi.org/10.3846/13926292.2014.910279
Numerical methods and comparison for computing dark and bright solitons in the nonlinear Schrödinger equation
Weizhu Bao, Qinglin Tang and Zhiguo XuJournal of Computational Physics 235 423 (2013)
https://doi.org/10.1016/j.jcp.2012.10.054
A System of ODEs for a Perturbation of a Minimal Mass Soliton
Jeremy L. Marzuola, Sarah Raynor and Gideon SimpsonJournal of Nonlinear Science 20 (4) 425 (2010)
https://doi.org/10.1007/s00332-010-9064-z
A Relaxation Scheme for the Nonlinear Schrödinger Equation
Christophe BesseSIAM Journal on Numerical Analysis 42 (3) 934 (2004)
https://doi.org/10.1137/S0036142901396521
Numerical Approximation of Blow-Up of Radially Symmetric Solutions of the Nonlinear Schrödinger Equation
G. D. Akrivis, V. A. Dougalis, O. A. Karakashian and W. R. MckinneySIAM Journal on Scientific Computing 25 (1) 186 (2003)
https://doi.org/10.1137/S1064827597332041
Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation
Christophe Besse, Brigitte Bidégaray and Stéphane DescombesSIAM Journal on Numerical Analysis 40 (1) 26 (2002)
https://doi.org/10.1137/S0036142900381497
Finite-difference schemes for the korteweg—de vries equation
V. I. Mazhukin, P. P. Matus and I. A. MikhailyukDifferential Equations 36 (5) 789 (2000)
https://doi.org/10.1007/BF02754240
A Space-Time Finite Element Method for the Nonlinear Schrödinger Equation: The Continuous Galerkin Method
Ohannes Karakashian and Charalambos MakridakisSIAM Journal on Numerical Analysis 36 (6) 1779 (1999)
https://doi.org/10.1137/S0036142997330111
A numerical method for the Benjamin-Ono equation
V. Thomée and A. S. Vasudeva MurthyBIT Numerical Mathematics 38 (3) 597 (1998)
https://doi.org/10.1007/BF02510262