scholarly journals On the equivalence between SOR-type methods for linear systems and the discrete gradient methods for gradient systems

2018 ◽  
Vol 342 ◽  
pp. 58-69 ◽  
Author(s):  
Yuto Miyatake ◽  
Tomohiro Sogabe ◽  
Shao-Liang Zhang
Keyword(s):  
Linear Systems ◽  
Gradient Methods ◽  
Gradient Systems ◽  
Discrete Gradient

Discrete Gradient Methods

2020 ◽  
pp. 621-654 ◽  
Author(s):  
Adil M. Bagirov ◽  
Sona Taheri ◽  
Napsu Karmitsa
Keyword(s):  
Gradient Methods ◽  
Discrete Gradient

Discrete Gradient Methods

2014 ◽  
pp. 327-333
Author(s):  
Adil Bagirov ◽  
Napsu Karmitsa ◽  
Marko M. Mäkelä
Keyword(s):  
Gradient Methods ◽  
Discrete Gradient

Compact Discrete Gradient Schemes for Nonlinear Schrödinger Equations

2017 ◽  
Vol 18 (1) ◽  
pp. 1-7
Author(s):  
Xiuling Yin ◽  
Chengjian Zhang ◽  
Jingjing Zhang
Keyword(s):  
Fourth Order ◽  
Numerical Experiments ◽  
Schrodinger Equation ◽  
Gradient Methods ◽  
Compact Scheme ◽  
Order Accuracy ◽  
Nonlinear Schrödinger ◽  
Discrete Gradient ◽  
Nonlinear Schrodinger Equations ◽  
Discrete Invariants

AbstractThis paper proposes two schemes for a nonlinear Schrödinger equation with four-order spacial derivative by using compact scheme and discrete gradient methods. They are of fourth-order accuracy in space. We analyze two discrete invariants of the schemes. The numerical experiments are implemented to investigate the efficiency of the schemes.

scholarly journals Discrete gradient methods for solving variational image regularisation models

2017 ◽  
Vol 50 (29) ◽  
pp. 295201 ◽  
Author(s):  
V Grimm ◽  
Robert I McLachlan ◽  
David I McLaren ◽  
G R W Quispel ◽  
C-B Schönlieb
Keyword(s):  
Gradient Methods ◽  
Discrete Gradient ◽  
Variational Image

scholarly journals Discrete gradient methods have an energy conservation law

2014 ◽  
Vol 34 (3) ◽  
pp. 1099-1104 ◽  
Author(s):  
Robert I. McLachlan ◽  
◽  
G. R. W. Quispel ◽  
Keyword(s):  
Energy Conservation ◽  
Conservation Law ◽  
Gradient Methods ◽  
Discrete Gradient ◽  
Energy Conservation Law
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