scholarly journals A mathematical framework of the bridging scale method

2006 ◽  
Vol 65 (10) ◽  
pp. 1688-1713 ◽  
Author(s):  
Shaoqiang Tang ◽  
Thomas Y. Hou ◽  
Wing Kam Liu
Keyword(s):  
Mathematical Framework ◽  
Scale Method ◽  
Bridging Scale Method

A Bridging Scale Method for Multi-scale Analysis of Granular Materials

2010 ◽  
Author(s):  
Xikui Li ◽  
Ke Wan ◽  
Jane W. Z. Lu ◽  
Andrew Y. T. Leung ◽  
Vai Pan Iu ◽  
...  
Keyword(s):  
Granular Materials ◽  
Scale Analysis ◽  
Multi Scale ◽  
Scale Method ◽  
Bridging Scale Method ◽  
Multi Scale Analysis

Algorithms for bridging scale method parameters

2007 ◽  
Vol 40 (6) ◽  
pp. 965-978 ◽  
Author(s):  
D. E. Farrell ◽  
E. G. Karpov ◽  
W. K. Liu
Keyword(s):  
Scale Method ◽  
Bridging Scale Method

Asymptotic and numerical homogenization

Acta Numerica ◽  
2008 ◽  
Vol 17 ◽  
pp. 147-190 ◽  
Author(s):  
B. Engquist ◽  
P. E. Souganidis
Keyword(s):  
Partial Differential Equations ◽  
Numerical Methods ◽  
Differential Equations ◽  
Random Media ◽  
Nonlinear Problems ◽  
Mathematical Framework ◽  
Numerical Homogenization ◽  
Multi Scale ◽  
Scale Method ◽  
Effective Models

Homogenization is an important mathematical framework for developing effective models of differential equations with oscillations. We include in the presentation techniques for deriving effective equations, a brief discussion on analysis of related limit processes and numerical methods that are based on homogenization principles. We concentrate on first- and second-order partial differential equations and present results concerning both periodic and random media for linear as well as nonlinear problems. In the numerical sections, we comment on computations of multi-scale problems in general and then focus on projection-based numerical homogenization and the heterogeneous multi-scale method.

LPCD framework: Analytical tool or psychological model?

2018 ◽  
Vol 41 ◽  
Author(s):  
David Danks
Keyword(s):  
Decision Making ◽  
Analytical Tool ◽  
Mathematical Framework ◽  
Bayesian Decision ◽  
Perceptual Decision Making ◽  
Psychological Model ◽  
Psychological Reality ◽  
Psychological Theories ◽  
Target Article ◽  
Bayesian Decision Making

AbstractThe target article uses a mathematical framework derived from Bayesian decision making to demonstrate suboptimal decision making but then attributes psychological reality to the framework components. Rahnev & Denison's (R&D) positive proposal thus risks ignoring plausible psychological theories that could implement complex perceptual decision making. We must be careful not to slide from success with an analytical tool to the reality of the tool components.

Too Much to Bear

Crisis ◽  
2016 ◽  
Vol 37 (1) ◽  
pp. 59-67 ◽  
Author(s):  
Nicole J. Peak ◽  
James C. Overholser ◽  
Josephine Ridley ◽  
Abby Braden ◽  
Lauren Fisher ◽  
...  
Keyword(s):  
Suicidal Ideation ◽  
Concurrent Validity ◽  
Medical Center ◽  
Psychiatric Patients ◽  
Preliminary Evidence ◽  
Diagnostic Interview ◽  
Veterans Affairs ◽  
Self Report ◽  
Perceived Burdensomeness ◽  
Scale Method

Abstract. Background: People who feel they have become a burden on others may become susceptible to suicidal ideation. When people no longer feel capable or productive, they may assume that friends and family members would be better off without them. Aim: The present study was designed to assess preliminary psychometric properties of a new measure, the Perceived Burdensomeness (PBS) Scale. Method: Depressed psychiatric patients (N = 173) were recruited from a veterans affairs medical center. Patients were assessed with a structured diagnostic interview and self-report measures assessing perceived burdensomeness, depression severity, hopelessness, and suicidal ideation. Results: The present study supported preliminary evidence of reliability and concurrent validity of the PBS. Additionally, perceived burdensomeness was significantly associated with higher levels of hopelessness and suicidal ideation. Conclusion: It is hoped that with the aid of the PBS clinicians may be able to intervene more specifically in the treatment of suicidality.

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