Krylov subspace spectral methods for the time-dependent Schrödinger equation with non-smooth potentials

James V. Lambers

Type: Article

Publication Date: 2009-03-05

Citations: 13

DOI: https://doi.org/10.1007/s11075-009-9278-z

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+	Application of Block Krylov Subspace Spectral Methods to Maxwell’s Equations	2009	James V. Lambers Sio-Iong Ao Alan H. S. Chan Hideki Katagiri Li Xu
+	Convergence Analysis of Krylov Subspace Spectral Methods for Reaction–Diffusion Equations	2018	Somayyeh Sheikholeslami James V. Lambers Carley Walker
+	Image Restoration with a New Class of Forward-Backward-Forward Diffusion Equations of Perona--Malik Type with Applications to Satellite Image Enhancement	2013	Patrick Guidotti Yunho Kim James V. Lambers
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+	Explicit high‐order time stepping based on componentwise application of asymptotic block Lanczos iteration	2012	James V. Lambers
+ PDF Chat	Matrices, Moments and Quadrature: Applications to Time- Dependent Partial Differential Equations	2016	James V. Lambers Alexandru Cibotarica Elisabeth M. Palchak
+	A Spectral Time-Domain Method for Computational Electrodynamics	2010	James V. Lambers
+	Spectral Methods for Time-Dependent Variable-Coefficient PDE Based on Block Gaussian Quadrature	2010	James V. Lambers
+	An Explicit, Stable, High-Order Spectral Method for the Wave Equation Based on Block Gaussian Quadrature	2008	James V. Lambers

Works Cited by This (18)

Action	Title	Year	Authors
+	Spectral Methods for Time-Dependent Problems	2007	Jan S. Hesthaven Sigal Gottlieb David Gottlieb
+ PDF Chat	Bounds for matrix moments	1974	Gene H. Golub
+ PDF Chat	Discrete transparent boundary conditions for the Schrödinger equation: fast calculation, approximation, and stability	2003	Anton Arnold Matthias Ehrhardt Ivan Sofronov
+ PDF Chat	On Krylov Subspace Approximations to the Matrix Exponential Operator	1997	Marlis Hochbruck Christian Lubich
+	An Introduction to Numerical Analysis	1990	F. S. Kendall Atkinson
+	Bounds for the error of linear systems of equations using the theory of moments	1972	Germund Dahlquist Stanley C. Eisenstat Gene H. Golub
+	Implementation of transparent boundaries for numerical solution of the Schrödinger equation	1991	В. А. Баскаков A. V. Popov
+ PDF Chat	Analysis of Wave Propagation in 1D Inhomogeneous Media	2006	Patrick Guidotti James V. Lambers Knut Sølna
+ PDF Chat	Some Modified Matrix Eigenvalue Problems	1973	Gene H. Golub
+	The MATLAB ODE Suite	1997	L. F. Shampine Mark W. Reichelt