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Finite Difference Discretization of the Cubic Schrödinger Equation
| Content Provider | Semantic Scholar |
|---|---|
| Author | Akrivis, Georgios |
| Copyright Year | 2014 |
| Abstract | We analyze the discretization of an initial-boundary value problem for the cubic Schrödinger equation in one space dimension by a Crank–Nicolson–type finite difference scheme. We then linearize the corresponding equations at each time level by Newton’s method and discuss an iterative modification of the linearized scheme which requires solving linear systems with the same tridiagonal matrix. We prove second-order error estimates. |
| File Format | PDF HTM / HTML |
| Alternate Webpage(s) | http://www.cs.uoi.gr/~akrivis/A-IMA.pdf |
| Language | English |
| Access Restriction | Open |
| Subject Keyword | Crank (person) Crank–Nicolson method Cubic function Discretization Estimated Finite difference method Iterative method Linear system Methamphetamine Newton Newton's method Schrödinger |
| Content Type | Text |
| Resource Type | Article |
