Derivative Free Stochastic Discrete Gradient Method with Adaptive Mutation

2006 ◽  
pp. 264-278
Author(s):  
Ranadhir Ghosh ◽  
Moumita Ghosh ◽  
Adil Bagirov
Keyword(s):  
Gradient Method ◽  
Adaptive Mutation ◽  
Discrete Gradient ◽  
Derivative Free ◽  
Discrete Gradient Method

scholarly journals Discrete Gradient Method: Derivative-Free Method for Nonsmooth Optimization

2007 ◽  
Vol 137 (2) ◽  
pp. 317-334 ◽  
Author(s):  
A. M. Bagirov ◽  
B. Karasözen ◽  
M. Sezer
Keyword(s):  
Nonsmooth Optimization ◽  
Gradient Method ◽  
Discrete Gradient ◽  
Derivative Free ◽  
Discrete Gradient Method ◽  
Derivative Free Method

scholarly journals Geometric investigation of the discrete gradient method for the Webster equation with a weighted inner product

JSIAM Letters ◽  
2015 ◽  
Vol 7 (0) ◽  
pp. 17-20 ◽  
Author(s):  
Ai Ishikawa ◽  
Takaharu Yaguchi
Keyword(s):  
Gradient Method ◽  
Inner Product ◽  
Discrete Gradient ◽  
Discrete Gradient Method

scholarly journals Energetic-Property-Preserving Numerical Schemes for Coupled Natural Systems

Mathematics ◽  
2020 ◽  
Vol 8 (2) ◽  
pp. 249
Author(s):  
Mizuka Komatsu ◽  
Shunpei Terakawa ◽  
Takaharu Yaguchi
Keyword(s):  
Gradient Method ◽  
Symmetric Matrix ◽  
Coupled Systems ◽  
Numerical Schemes ◽  
Natural Systems ◽  
Discrete Gradient ◽  
Discrete Gradient Method ◽  
Spring System ◽  
Mass Spring ◽  
Energetic Property

In this paper, we propose a method for deriving energetic-property-preserving numerical schemes for coupled systems of two given natural systems. We consider the case where the two systems are interconnected by the action–reaction law. Although the derived schemes are based on the discrete gradient method, in the case under consideration, the equation of motion is not of the usual form represented by using the skew-symmetric matrix. Hence, the energetic-property-preserving schemes cannot be obtained by straightforwardly using the discrete gradient method. We show numerical results for two coupled systems as examples; the first system is a combination of the wave equation and the elastic equation, and the second is of the mass–spring system and the elastic equation.

An adaptive image inpainting method based on euler's elastica with adaptive parameters estimation and the discrete gradient method

2021 ◽  
Vol 178 ◽  
pp. 107797 ◽  
Author(s):  
Dang Ngoc Hoang Thanh ◽  
V. B. Surya Prasath ◽  
Sergey Dvoenko ◽  
Le Minh Hieu
Keyword(s):  
Gradient Method ◽  
Image Inpainting ◽  
Parameters Estimation ◽  
Discrete Gradient ◽  
Adaptive Parameters ◽  
Euler’S Elastica ◽  
Discrete Gradient Method

Discrete gradient method in solid mechanics

2009 ◽  
Author(s):  
Jing Qian
Keyword(s):  
Gradient Method ◽  
Solid Mechanics ◽  
Discrete Gradient ◽  
Discrete Gradient Method

The Fermat–Torricelli Problem, Part I: A Discrete Gradient-Method Approach

2013 ◽  
Vol 158 (2) ◽  
pp. 305-327 ◽  
Author(s):  
Yaakov S. Kupitz ◽  
Horst Martini ◽  
Margarita Spirova
Keyword(s):  
Gradient Method ◽  
Discrete Gradient ◽  
Discrete Gradient Method ◽  
Method Approach

A stabilized formulation for discrete gradient method

2009 ◽  
Vol 27 (6) ◽  
pp. 860-873 ◽  
Author(s):  
Jing Qian ◽  
Jia Lu
Keyword(s):  
Gradient Method ◽  
Discrete Gradient ◽  
Discrete Gradient Method

Discrete gradient method in solid mechanics

2008 ◽  
Vol 74 (4) ◽  
pp. 619-641 ◽  
Author(s):  
Jia Lu ◽  
Jing Qian ◽  
Weimin Han
Keyword(s):  
Gradient Method ◽  
Solid Mechanics ◽  
Discrete Gradient ◽  
Discrete Gradient Method

Discrete gradient method over polygon mesh

2008 ◽  
Vol 78 (5) ◽  
pp. 505-527 ◽  
Author(s):  
Jia Lu ◽  
Jing Qian
Keyword(s):  
Gradient Method ◽  
Discrete Gradient ◽  
Polygon Mesh ◽  
Discrete Gradient Method
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