• An Efficient Second-Order Fini...

Treffer: An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions

Title:
An Efficient Second-Order Finite Difference Method for the One-Dimensional Schrödinger Equation with Absorbing Boundary Conditions
Authors:
Li, B, Zhang, J, Zheng, C
Contributors:
Department of Applied Mathematics
Source:
SIAM Journal on Numerical Analysis. 56:766-791
Publisher Information:
Society for Industrial & Applied Mathematics (SIAM), 2018.
Publication Year:
2018
Subject Terms:
Error estimate, Schr̈odinger equation, Convolution quadrature, Absorbing boundary condition, 4. Education, 0101 mathematics, 16. Peace & justice, Padé approximation, Fast algorithm, 01 natural sciences
Document Type:
Fachzeitschrift Article
Language:
English
ISSN:
1095-7170
0036-1429
DOI:
10.1137/17m1122347
Access URL:
https://locus.siam.org/doi/abs/10.1137/17M1122347
https://dblp.uni-trier.de/db/journals/siamnum/siamnum56.html#LiZZ18
https://doi.org/10.1137/17M1122347
https://research.polyu.edu.hk/en/publications/an-efficient-second-order-finite-difference-method-for-the-one-di
https://epubs.siam.org/doi/10.1137/17M1122347
Accession Number:
edsair.doi.dedup.....d711a8b6ba04db706fa732a39b6b347b
Database:
OpenAIRE

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A stable and convergent second-order fully discrete finite difference scheme with efficient approximation of the exact absorbing boundary conditions is proposed to solve the Cauchy problem of the o...