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Convergence rates for dispersive approximation schemes to nonlinear Schrödinger equations

✍ Scribed by Liviu I. Ignat; Enrique Zuazua


Book ID
119323109
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
442 KB
Volume
98
Category
Article
ISSN
0021-7824

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On the convergence of a difference schem
✍ Zhi-zhong Sun; Dan-dan Zhao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 394 KB

In this article, a finite difference scheme for coupled nonlinear Schrödinger equations is studied. The existence of the difference solution is proved by Brouwer fixed point theorem. With the aid of the fact that the difference solution satisfies two conservation laws, the finite difference solution