Name
Title | ||
|---|---|---|
Optimal error analysis of Crank-Nicolson schemes for a coupled nonlinear Schrödinger system in 3D. |
Abstract | ||
|---|---|---|
The paper is concerned with the time step condition of the commonly-used semi-implicit CrankNicolson finite difference schemes for a coupled nonlinear Schrdinger system in three dimensional space. We present the optimal L2 error estimate without any restriction on time step, while all previous works require certain time step conditions. Our approach is based on a rigorous analysis in both real and imaginary parts of the energy estimate (inequality) of the error function. Numerical examples for both two-dimensional and three-dimensional models are investigated and numerical results illustrate our theoretical analysis. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1016/j.cam.2016.12.004 | J. Computational Applied Mathematics |
Keywords | Field | DocType |
Unconditionally optimal error estimate,Coupled nonlinear Schrödinger system,Semi-implicit Crank–Nicolson schemes | Error function,Three-dimensional space,Mathematical optimization,Nonlinear system,Mathematical analysis,Finite difference,Mathematics | Journal |
Volume | Issue | ISSN |
317 | C | 0377-0427 |
Citations | PageRank | References |
6 | 0.48 | 10 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Weiwei Sun | 1 | 154 | 15.12 |
| Jilu Wang | 2 | 7 | 1.84 |