scholarly journals THE LOW DIMENSIONAL DYNAMICAL SYSTEM APPROACH IN GENERAL RELATIVITY: AN EXAMPLE

2007 ◽  
Vol 18 (12) ◽  
pp. 1853-1864 ◽  
Author(s):  
H. P. de OLIVEIRA ◽  
E. L. RODRIGUES ◽  
I. DAMIÃO SOARES ◽  
E. V. TONINI
Keyword(s):  
Dynamical System ◽  
General Relativity ◽  
Galerkin Method ◽  
System Approach ◽  
High Accuracy ◽  
Computational Effort ◽  
Dynamical System Approach ◽  
Dimensional Dynamical System ◽  
Low Dimensional ◽  
The Galerkin Method

In this paper we explore one of the most important features of the Galerkin method, which is to achieve high accuracy with a relatively modest computational effort, in the dynamics of Robinson–Trautman spacetimes.

A DYNAMICAL SYSTEM APPROACH FOR THE BONDI PROBLEM

2009 ◽  
Vol 24 (08n09) ◽  
pp. 1700-1704 ◽  
Author(s):  
H. P. DE OLIVEIRA ◽  
E. L. RODRIGUES
Keyword(s):  
Galerkin Method ◽  
System Approach ◽  
High Accuracy ◽  
Computational Effort ◽  
Numerical Code ◽  
Field Equations ◽  
Numerical Tests ◽  
Stability And Accuracy ◽  
The Galerkin Method ◽  
Convergence Stability

We present the first numerical code based on the Galerkin method to integrate the field equations of the Bondi problem. The Galerkin method is a spectral method whose main feature is to provide high accuracy with moderate computational effort. Several numerical tests were performed to verify the issues of convergence, stability and accuracy with promising results. This code opens up several possibilities of applications in more general scenarios for studying the evolution of spacetimes with gravitational waves.

scholarly journals A fast saddle-point dynamical system approach to robust deep learning

2021 ◽  
Vol 139 ◽  
pp. 33-44
Author(s):  
Yasaman Esfandiari ◽  
Aditya Balu ◽  
Keivan Ebrahimi ◽  
Umesh Vaidya ◽  
Nicola Elia ◽  
...  
Keyword(s):  
Dynamical System ◽  
Deep Learning ◽  
Saddle Point ◽  
System Approach ◽  
Dynamical System Approach

scholarly journals Biometric Palmprint Verification: A Dynamical System Approach

2019 ◽  
Vol 49 (12) ◽  
pp. 2676-2687 ◽  
Author(s):  
David Palma ◽  
Pier Luca Montessoro ◽  
Giulia Giordano ◽  
Franco Blanchini
Keyword(s):  
Dynamical System ◽  
System Approach ◽  
Dynamical System Approach

scholarly journals Patterns of Horse-Rider Coordination during Endurance Race: A Dynamical System Approach

PLoS ONE ◽  
2013 ◽  
Vol 8 (8) ◽  
pp. e71804 ◽  
Author(s):  
Sylvain Viry ◽  
Rita Sleimen-Malkoun ◽  
Jean-Jacques Temprado ◽  
Jean-Philippe Frances ◽  
Eric Berton ◽  
...  
Keyword(s):  
Dynamical System ◽  
System Approach ◽  
Dynamical System Approach

The dynamical system approach to scalar field cosmology

2000 ◽  
Vol 17 (8) ◽  
pp. 1783-1814 ◽  
Author(s):  
E Gunzig ◽  
V Faraoni ◽  
A Figueiredo ◽  
T M Rocha Filho ◽  
L Brenig
Keyword(s):  
Dynamical System ◽  
Scalar Field ◽  
System Approach ◽  
Dynamical System Approach ◽  
Scalar Field Cosmology
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