A high-order accuracy method for numerical solving of the time-dependent Schrödinger equation

И.В. Пузынин, A.V. Selin, S. I. Vinitsky

Type: Article

Publication Date: 1999-12-01

Citations: 27

DOI: https://doi.org/10.1016/s0010-4655(99)00224-6

View Publication

Locations

Computer Physics Communications - View

Similar Works

Action	Title	Year	Authors
+	Tenth-Order Accurate Numerical Method for Solving the Time-Dependent Schrödinger Equation	2024	М. А. Захаров
+	Efficient high-order operator-splitting schemes for solving the time-dependent Schrödinger equation	2024	Yajian Shu Zhigang Sun
+	An efficient and economical high order method for the numerical approximation of the Schrödinger equation	2017	Lan Yang T. E. Simos
+	A high order method for the numerical integration of the one-dimensional Schrödinger equation	1984	J. R. Cash A.D. Raptis
+	Numerical solution of the time-dependent Schrödinger equation	1972	J. H. Weiner
+	Magnus-factorized method for numerical solving the time-dependent Schrödinger equation	2000	И.В. Пузынин A.V. Selin S. I. Vinitsky
+	A new kind of discretization scheme for solving a two-dimensional time-independent Schrödinger equation	2008	Zhongcheng Wang Hezhu Shao
+	Refined Spectral Method as an extremely accurate technique for solving time-independent Schrodinger equation	2006	Pouria Pedram Mohammad Mirzaei S. S. Gousheh
+	An Efficient Meshless Method for Solving Multi-dimensional Nonlinear Schrödinger Equation	2020	Ali Habibirad Esmail Hesameddini Ameneh Taleei
+	High order computationally economical six-step method with vanished phase-lag and its derivatives for the numerical solution of the Schrödinger equation	2016	D. Berg T. E. Simos
+ PDF Chat	Non-standard finite-difference time-domain method for solving the Schrödinger equation	2018	I Wayan Sudiarta
+	Numerical Solution of the Time-Dependent Schrodinger Equation in Two Dimensions	2018	Aishah Saeed Alqarni
+	A high algebraic order multistage explicit four-step method with vanished phase-lag and its first, second, third, fourth and fifth derivatives for the numerical solution of the Schrödinger equation	2015	Ibraheem Alolyan T. E. Simos
+	Adaptive Method for Solving the Time-Dependent Schrödinger Equation	2002	G. N. Bankov M. S. Kaschiev S. I. Vinitsky
+	A HIGH ACCURATE AND CONSERVATIVE FINITE DIFFERENCE SCHEME FOR NONLINEAR SCHRODINGER EQUATION	2005	L Zhang
+	A High-Order Two-Step Phase-Fitted Method for the Numerical Solution of the Schrödinger Equation	2016	Wei Zhang T. E. Simos
+	An efficient six-step method for the solution of the Schrödinger equation	2017	D. Berg T. E. Simos
+	A new high algebraic order four stages symmetric two-step method with vanished phase-lag and its first and second derivatives for the numerical solution of the Schrödinger equation and related problems	2016	Xiaopeng Xi T. E. Simos
+	An arbitrary order diffusion algorithm for solving Schrödinger equations	2009	Siu A. Chin S. Janecek E. Krotscheck
+	A new high order two-step method with vanished phase-lag and its derivatives for the numerical integration of the Schrödinger equation	2012	Ibraheem Alolyan T. E. Simos

Works That Cite This (16)

Action	Title	Year	Authors
+	Метод численного решения нестационарного уравнения Шрёдингера десятого порядка точности	2024	М. А. Захаров
+ PDF Chat	The accurate numerical solution of the Schrödinger equation with an explicitly time-dependent Hamiltonian	2014	Veerle Ledoux Maarten Van Daele
+ PDF Chat	Numerical solutions of the time-dependent Schrödinger equation in two dimensions	2017	W. van Dijk Trevor Vanderwoerd Sjirk-Jan Prins
+	Fast sixth-order algorithm based on the generalized Cayley transform for the Zakharov-Shabat system in optical applications	2020	С. Б. Медведев I. S. Chekhovskoy Irina Vaseva М. П. Федорук
+	Globally conservative properties and error estimation of a multi-symplectic scheme for Schrödinger equations with variable coefficients	2005	Jialin Hong Ying Liu Hans Munthe–Kaas Antonella Zanna
+	Symbolic-Numerical Algorithm for Solving the Time-Dependent Schrödinger Equation by Split-Operator Method	2005	А. А. Гусев Vladimir P. Gerdt M. S. Kaschiev V. A. Rostovt︠s︡ev V. N. Samoylov T. V. Tupikova Yoshio Uwano S. I. Vinitsky
+	Numerical Methods for Schrödinger-Type Problems	2002	Graeme Fairweather Morrakot Khebchareon
+	Tenth-Order Accurate Numerical Method for Solving the Time-Dependent Schrödinger Equation	2024	М. А. Захаров
+	Numerical solutions of the time-dependent Schrödinger equation: Reduction of the error due to space discretization	2009	Hezhu Shao Zhongcheng Wang
+	Algorithm for computing a wave packet evolution of the time-dependent Schrödinger equation	2014	А. А. Гусев О. Чулуунбаатар S. I. Vinitsky A.G. Abrashkevich

Works Cited by This (0)

Action	Title	Year	Authors