A Three-Dimensional Horizontally Wide-Angle Noniterative Beam-Propagation Method Based on the Alternating-Direction Implicit Scheme

IEEE Photonics Technology Letters ◽

10.1109/lpt.2006.870083 ◽

2006 ◽

Vol 18 (5) ◽

pp. 661-663 ◽

Author(s):

J. Shibayama ◽

T. Takahashi ◽

J. Yamauchi ◽

H. Nakano

Keyword(s):

Beam Propagation Method ◽

Three Dimensional ◽

Beam Propagation ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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Highly efficient noniterative full-vectorial beam propagation method based on the alternating-direction implicit scheme

Optics Letters ◽

10.1364/ol.32.003194 ◽

2007 ◽

Vol 32 (21) ◽

pp. 3194 ◽

Author(s):

Yang Ji ◽

Binfeng Yun ◽

Guohua Hu ◽

Yiping Cui

Keyword(s):

Beam Propagation Method ◽

Beam Propagation ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Highly Efficient ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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Computational solutions of three-dimensional advection-diffusion equation using fourth order time efficient alternating direction implicit scheme

AIP Advances ◽

10.1063/1.4996341 ◽

2017 ◽

Vol 7 (8) ◽

pp. 085306 ◽

Author(s):

Muhammad Saqib ◽

Shahid Hasnain ◽

Daoud Suleiman Mashat

Keyword(s):

Diffusion Equation ◽

Fourth Order ◽

Three Dimensional ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Advection Diffusion Equation ◽

Advection Diffusion ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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Three-dimensional noniterative full-vectorial beam propagation method based on the alternating direction implicit method

Journal of Lightwave Technology ◽

10.1109/50.803035 ◽

1999 ◽

Vol 17 (11) ◽

pp. 2389-2397 ◽

Author(s):

Yu-Li Hsueh ◽

Ming-Chuan Yang ◽

Hung-Chun Chang

Keyword(s):

Beam Propagation Method ◽

Three Dimensional ◽

Beam Propagation ◽

Implicit Method ◽

Alternating Direction Implicit Method ◽

Alternating Direction Implicit ◽

Alternating Direction

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Wide-Angle Alternating-Direction Implicit Finite-Difference Beam Propagation Method

Journal of Lightwave Technology ◽

10.1109/jlt.2009.2013219 ◽

2009 ◽

Vol 27 (14) ◽

pp. 2595-2604 ◽

Author(s):

E.V. Bekker ◽

P. Sewell ◽

T.M. Benson ◽

A. Vukovic

Keyword(s):

Finite Difference ◽

Beam Propagation Method ◽

Beam Propagation ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Implicit Finite Difference

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Wide-angle full-vector beam propagation method based on an alternating direction implicit preconditioner

Journal of the Optical Society of America A ◽

10.1364/josaa.21.000420 ◽

2004 ◽

Vol 21 (3) ◽

pp. 420 ◽

Author(s):

Siu Lit Chui ◽

Ya Yan Lu

Keyword(s):

Beam Propagation Method ◽

Beam Propagation ◽

Alternating Direction Implicit ◽

Vector Beam ◽

Alternating Direction ◽

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An improved time-domain beam-propagation method based on the alternating-direction implicit method for wide-band analysis

CLEO/Pacific Rim 2003. The 5th Pacific Rim Conference on Lasers and Electro-Optics (IEEE Cat. No.03TH8671) ◽

10.1109/cleopr.2003.1274570 ◽

2004 ◽

Author(s):

Jun Shibayama ◽

A. Yamahira ◽

J. Yamauchi ◽

H. Nakano

Keyword(s):

Time Domain ◽

Beam Propagation Method ◽

Beam Propagation ◽

Wide Band ◽

Implicit Method ◽

Alternating Direction Implicit Method ◽

Alternating Direction Implicit ◽

Alternating Direction

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An alternating direction implicit scheme for parabolic systems of partial differential equations

Computers & Mathematics with Applications ◽

10.1016/0898-1221(90)90030-n ◽

1990 ◽

Vol 20 (3) ◽

pp. 53-62 ◽

Author(s):

I.J.D. Craig ◽

A.D. Sneyd

Keyword(s):

Partial Differential Equations ◽

Differential Equations ◽

Parabolic Systems ◽

Implicit Scheme ◽

Partial Differential ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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An alternating-direction implicit scheme for parabolic equations with mixed derivatives

Computers & Mathematics with Applications ◽

10.1016/0898-1221(88)90150-2 ◽

1988 ◽

Vol 16 (4) ◽

pp. 341-350 ◽

Author(s):

I.J.D. Craig ◽

A.D. Sneyd

Keyword(s):

Parabolic Equations ◽

Implicit Scheme ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Mixed Derivatives ◽

Alternating Direction Implicit Scheme

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An alternating direction implicit scheme of a fractional-order diffusion tensor image registration model

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.03.024 ◽

2019 ◽

Vol 356 ◽

pp. 105-118

Author(s):

Huan Han ◽

Zhanqing Wang

Keyword(s):

Image Registration ◽

Fractional Order ◽

Diffusion Tensor ◽

Implicit Scheme ◽

Diffusion Tensor Image ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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An Alternating Direction Implicit Scheme for Parabolic Equations with Mixed Derivative and Convective Terms

Journal of Computational Physics ◽

10.1006/jcph.1996.0120 ◽

1996 ◽

Vol 126 (1) ◽

pp. 64-76 ◽

Author(s):

S. McKee ◽

D.P. Wall ◽

S.K. Wilson

Keyword(s):

Parabolic Equations ◽

Implicit Scheme ◽

Mixed Derivative ◽

Alternating Direction Implicit ◽

Alternating Direction ◽

Alternating Direction Implicit Scheme

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