Local discontinuous Galerkin methods for nonlinear Schrödinger equations

By Yan Xu, Chi-Wang Shu. 2005

196 citations recorded by the source corpus.

Subfields: Computational Mechanics, Electrical and Electronic Engineering, Numerical Analysis

View Paper: https://www.semanticscholar.org/paper/adb83679708c97fa3748a704dc7ad6e346543faa

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Computational Mechanics

1. Chi-Wang Shu
2. Yan Xu
3. Sergei K. Turitsyn
4. B. G. Bale
5. Mikhail P. Fedoruk
6. Jianxian Qiu
7. Michael Dumbser
8. Eleuterio F. Toro

In Electrical and Electronic Engineering

1. Chi-Wang Shu
2. Sergei K. Turitsyn
3. B. G. Bale
4. Mikhail P. Fedoruk
5. Yan Xu
6. Junfeng Zhang

In Numerical Analysis

1. Chi-Wang Shu
2. Yan Xu
3. Sergei K. Turitsyn
4. B. G. Bale
5. Mikhail P. Fedoruk
6. Michael Dumbser
7. Jianxian Qiu
8. Bernardo Cockburn

Citations in the corpus

• Discontinuous Galerkin Method for Time-Dependent Problems: Survey and Recent Developments (2014, methodology): “In [91], LDG methods are designed for these equations.”
• Local Discontinuous Galerkin Methods for High-Order Time-Dependent Partial Differential Equations (2009, methodology): “1 The nonlinear Schrödinger (NLS) equation In [97], LDG methods are designed for the generalized nonlinear Schrödinger (NLS) equation iut+uxx+i(g(|u| (2))u)x+ f (|u| (2))u=0, (5.”
• Dispersion-managed solitons in fibre systems and lasers (2012, methodology): “The NLSE has been solved numerically using a number of methods, including the split-step method [369,370], finite-difference schemes [371–378], the finite element method [379–381], the discontinuous Galerkinmethod [382,383], spline collocation [384,385], split-step finite-difference [386,387], sympl”