Name
Title | ||
|---|---|---|
Uniform Error Estimates of Finite Difference Methods for the Nonlinear Schrödinger Equation with Wave Operator |
Abstract | ||
|---|---|---|
We establish uniform error estimates of finite difference methods for the nonlinear Schrödinger equation (NLS) perturbed by the wave operator (NLSW) with a perturbation strength described by a dimensionless parameter $\varepsilon$ ($\varepsilon\in(0,1]$). When $\varepsilon\to0^+$, NLSW collapses to the standard NLS. In the small perturbation parameter regime, i.e., $0 |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1137/110830800 | SIAM J. Numerical Analysis |
Keywords | Field | DocType |
small perturbation parameter regime,finite difference methods,dinger equation,uniform error estimate,dimensionless parameter,perturbation strength,wave operator,nonlinear schr,uniform error estimates,standard nls,finite difference method | Inverse,Mathematical optimization,Nonlinear system,Mathematical analysis,Finite difference,D'Alembert operator,Finite difference method,Operator (computer programming),Numerical analysis,Nonlinear Schrödinger equation,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 2 | 0036-1429 |
Citations | PageRank | References |
32 | 1.96 | 8 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Weizhu Bao | 1 | 638 | 95.92 |
| Yongyong Cai | 2 | 80 | 11.43 |