An Explicit Hermite-Taylor Method for the Schrödinger Equation. (27th March 2017)

• Record Type: Journal Article
• Authors: Appelö, Daniel; Kreiss, Gunilla; Wang, Siyang
• Is Part Of: Communications in computational physics. Volume 21:Number 5(2017:May)
• Page Start: 1207
• Page End: 1230
• Publication Date: 2017-03-27
• Subjects: 65L20, -- 81V10; Hermite method, -- Schrödinger equation, -- high order; Mathematical physics -- Data processing -- Periodicals; Physics -- Data processing -- Periodicals; 530.150285
• DOI: 10.4208/cicp.080815.211116a
• Languages: English
• ISSNs: 1815-2406

Abstract

Abstract: An explicit spectrally accurate order-adaptive Hermite-Taylor method for the Schrödinger equation is developed. Numerical experiments illustrating the properties of the method are presented. The method, which is able to use very coarse grids while still retaining high accuracy, compares favorably to an existing exponential integrator – high order summation-by-parts finite difference method.