Numerical analysis of the nonlinear Schrödinger equation with white noise dispersion

R. Belaouar, Anne de Bouard, Arnaud Debussche

Type: Article

Publication Date: 2015-02-02

Citations: 20

DOI: https://doi.org/10.1007/s40072-015-0044-z

View Publication

Download PDF

Locations

Stochastic Partial Differential Equations Analysis and Computations - View
HAL (Le Centre pour la Communication Scientifique Directe) - View - PDF

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Exponential integrators for nonlinear Schrödinger equations with white noise dispersion	2017	David Cohen Guillaume Dujardin
+	The nonlinear Schrödinger equation with white noise dispersion	2010	Anne de Bouard Arnaud Debussche
+ PDF Chat	Stable numerical methods for a stochastic nonlinear Schrödinger equation with linear multiplicative noise	2021	Xiaobing Feng Shu Ma
+ PDF Chat	Strong Approximation of Stochastic Semiclassical Schroedinger Equation with Multiplicative Noise	2024	Lihai Ji Zhihui Liu
+	Strong rates of convergence of a splitting scheme for Schrödinger equations with nonlocal interaction cubic nonlinearity and white noise dispersion	2020	Charles-Édouard Bréhier David Cohen
+ PDF Chat	Continuum limit related to dispersion managed nonlinear Schrödinger equations	2023	Mi-Ran Choi Young-Ran Lee
+ PDF Chat	Mathematical and computational methods for semiclassical Schrödinger equations	2011	Shi Jin Peter A. Markowich Christof Sparber
+	Strong Rates of Convergence of a Splitting Scheme for Schrödinger Equations with Nonlocal Interaction Cubic Nonlinearity and White Noise Dispersion	2022	Charles-Édouard Bréhier David Cohen
+ PDF Chat	Numerical aspects of the nonlinear Schrödinger equation in the semiclassical limit in a supercritical regime	2011	Rémi Carles Bijan Mohammadi
+	The numerical treatment of the nonlinear Schrödinger equation	1990	A. B. Shamardan
+	Resolution of a stochastic weakly damped nonlinear Schrödinger equation by a multilevel numerical method	2000	Guy Moebs Roger Témam
+	A nonlinear Schrödinger equation in L² with multiplicative white noise	2011	J.P.H. Van Leeuwen
+ PDF Chat	Numerical study of two‐dimensional stochastic NLS equations	2005	Marc Barton-Smith Arnaud Debussche Laurent Di Menza
+	Continuum limit related to dispersion managed nonlinear Schrödinger equations	2022	Mi-Ran Choi Young-Ran Lee
+	Numerical simulations of nonlinear stochastic Newell-Whitehead-Segel equation and its measurable properties	2022	Muhammad Sajid Iqbal Muhammad Waqas Yasin Nauman Ahmed Ali Akgül Muhammad Rafiq Ali Raza
+	Numerical Solution of the Schrödinger Equation	1995
+	NUMERICAL SOLUTION OF THE SCHRODINGER EQUATION	1953	A.v. Mohrenstein
+	Numerical Solution of the Schrödinger Equation	2011	Theodore E. Simos
+	Numerical Solution of Schrödinger’s Equation	2022	B. Cameron Reed
+	On convergence and stability of a numerical scheme of Coupled Nonlinear Schrödinger Equations	2007	B. Reichel Sergey Leble

Works That Cite This (18)

Action	Title	Year	Authors
+	Decay of solutions to one dimensional nonlinear Schrödinger equations with white noise dispersion	2020	Serge Dumont Olivier Goubet Youcef Mammeri
+ PDF Chat	Exponential integrators for nonlinear Schrödinger equations with white noise dispersion	2017	David Cohen Guillaume Dujardin
+ PDF Chat	Lie–Trotter Splitting for the Nonlinear Stochastic Manakov System	2021	André Berg David Cohen Guillaume Dujardin
+ PDF Chat	Randomized exponential integrators for modulated nonlinear Schrödinger equations	2019	Martina Hofmanová Marvin Knöller Katharina Schratz
+ PDF Chat	On the wellposedness of periodic nonlinear Schrödinger equations with white noise dispersion	2023	Gavin Stewart
+ PDF Chat	Stochastic symplectic and multi-symplectic methods for nonlinear Schrödinger equation with white noise dispersion	2017	Jianbo Cui Jialin Hong Zhihui Liu Weien Zhou
+ PDF Chat	Approximated exponential integrators for the stochastic Manakov equation	2023	André Berg David Cohen Guillaume Dujardin
+	Generalized regularized long wave equation with white noise dispersion	2017	M. Chen Olivier Goubet Youcef Mammeri
+	Strong Rates of Convergence of a Splitting Scheme for Schrödinger Equations with Nonlocal Interaction Cubic Nonlinearity and White Noise Dispersion	2022	Charles-Édouard Bréhier David Cohen
+ PDF Chat	Exponential integrators for the stochastic Manakov equation	2020	André Berg David Cohen Guillaume Dujardin

Works Cited by This (18)

Action	Title	Year	Authors
+	The singular perturbation limit of a variational problem from nonlinear fiber optics	2003	Markus Kunze
+	A semi-discrete scheme for the stochastic nonlinear Schr�dinger equation	2004	Anne de Bouard Arnaud Debussche
+	The nonlinear Schrödinger equation with white noise dispersion	2010	Anne de Bouard Arnaud Debussche
+ PDF Chat	Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation	2002	Christophe Besse Brigitte Bidégaray-Fesquet Stéphane Descombes
+	Probability and Pathwise Order of Convergence of a Semidiscrete Scheme for the Stochastic Manakov Equation	2014	Maxime Gazeau
+	Approximate Integration of Stochastic Differential Equations	1975	G. N. Mil’shtejn
+ PDF Chat	Numerical study of two‐dimensional stochastic NLS equations	2005	Marc Barton-Smith Arnaud Debussche Laurent Di Menza
+	1D quintic nonlinear Schrödinger equation with white noise dispersion	2010	Arnaud Debussche Yoshio Tsutsumi
+ PDF Chat	On a splitting scheme for the nonlinear Schrödinger equation in a random medium	2006	Renaud Marty
+ PDF Chat	Methods for the numerical solution of the nonlinear Schroedinger equation	1984	J. M. Sanz‐Serna