An alternating-direction hybrid implicit-explicit finite-difference time-domain method for the Schrödinger equation

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2021.113881 ◽

2021 ◽

pp. 113881

Author(s):

Pieter Decleer ◽

Arne Van Londersele ◽

Hendrik Rogier ◽

Dries Vande Ginste

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Alternating Direction ◽

Explicit Finite Difference ◽

Difference Time

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Non-standard finite-difference time-domain method for solving the Schrödinger equation

Pramana ◽

10.1007/s12043-018-1632-z ◽

2018 ◽

Vol 91 (4) ◽

Cited By ~ 1

Author(s):

I Wayan Sudiarta

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Eigenvalue problem of the Schrödinger equation via the finite-difference time-domain method

Physical Review E ◽

10.1103/physreve.69.036705 ◽

2004 ◽

Vol 69 (3) ◽

Cited By ~ 11

Author(s):

G. B. Ren ◽

J. M. Rorison

Keyword(s):

Finite Difference ◽

Eigenvalue Problem ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Solving the Schrödinger equation using the finite difference time domain method

Journal of Physics A Mathematical and Theoretical ◽

10.1088/1751-8113/40/8/013 ◽

2007 ◽

Vol 40 (8) ◽

pp. 1885-1896 ◽

Cited By ~ 47

Author(s):

I Wayan Sudiarta ◽

D J Wallace Geldart

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Numerical solution of the Schrödinger equation in polar coordinates using the finite-difference time-domain method

Journal of Computational Electronics ◽

10.1007/s10825-020-01446-0 ◽

2020 ◽

Vol 19 (1) ◽

pp. 91-102

Author(s):

Mohsen Salehi ◽

Nosrat Granpayeh

Keyword(s):

Finite Difference ◽

Schrödinger Equation ◽

Numerical Solution ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Polar Coordinates ◽

Domain Method ◽

Difference Time

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Solving the Schrödinger equation for a charged particle in a magnetic field using the finite difference time domain method

Physics Letters A ◽

10.1016/j.physleta.2008.01.078 ◽

2008 ◽

Vol 372 (18) ◽

pp. 3145-3148 ◽

Cited By ~ 17

Author(s):

I. Wayan Sudiarta ◽

D.J. Wallace Geldart

Keyword(s):

Magnetic Field ◽

Charged Particle ◽

Finite Difference ◽

Schrödinger Equation ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Time Domain Method ◽

Domain Method ◽

Difference Time

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Generalized Finite-Difference Time-Domain method with absorbing boundary conditions for solving the nonlinear Schrödinger equation on a GPU

Computer Physics Communications ◽

10.1016/j.cpc.2018.02.013 ◽

2019 ◽

Vol 235 ◽

pp. 279-292 ◽

Cited By ~ 3

Author(s):

Joshua P. Wilson

Keyword(s):

Finite Difference ◽

Boundary Conditions ◽

Time Domain ◽

Finite Difference Time Domain ◽

Schrodinger Equation ◽

Absorbing Boundary Conditions ◽

Time Domain Method ◽

Absorbing Boundary ◽

Domain Method ◽

Difference Time

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A 2D periodic hybrid implicit-explicit finite-difference time-domain method

2012 International Conference on Microwave and Millimeter Wave Technology (ICMMT) ◽

10.1109/icmmt.2012.6230131 ◽

2012 ◽

Author(s):

Yun-Fei Mao ◽

Bin Chen ◽

Qiang Chen ◽

Jian-Hong Xu

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Time Domain Method ◽

Domain Method ◽

Explicit Finite Difference ◽

Difference Time

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Analysis of frequency selective surfaces using alternating-direction-implicit spectral finite-difference time-domain method

2012 International Conference on Microwave and Millimeter Wave Technology (ICMMT) ◽

10.1109/icmmt.2012.6230130 ◽

2012 ◽

Author(s):

Yunfei Mao ◽

Bin Chen ◽

Baoshan Fang

Keyword(s):

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Time Domain Method ◽

Frequency Selective Surfaces ◽

Alternating Direction Implicit ◽

Domain Method ◽

Alternating Direction ◽

Frequency Selective ◽

Difference Time

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New Alternating-Direction-Implicit Finite-Difference-Time-Domain Method for Photonic Crystal Devices

2007 Workshop on Computational Electromagnetics in Time-Domain ◽

10.1109/cemtd.2007.4373529 ◽

2007 ◽

Author(s):

S S A Obayya ◽

D Pinto

Keyword(s):

Photonic Crystal ◽

Finite Difference ◽

Time Domain ◽

Finite Difference Time Domain ◽

Time Domain Method ◽

Alternating Direction Implicit ◽

Domain Method ◽

Alternating Direction ◽

Implicit Finite Difference ◽

Difference Time

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Improved hybrid implicit–explicit finite-difference time-domain method with higher accuracy and user-defined stability condition

AEU - International Journal of Electronics and Communications ◽

10.1016/j.aeue.2010.02.015 ◽

2011 ◽

Vol 65 (3) ◽

pp. 265-267 ◽

Cited By ~ 4

Author(s):

Juan Chen ◽

Jianguo Wang

Keyword(s):

Finite Difference ◽

Time Domain ◽

Stability Condition ◽

Finite Difference Time Domain ◽

Time Domain Method ◽

Domain Method ◽

Explicit Finite Difference ◽

Difference Time

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