scholarly journals Rapid numerical approximation method for integrated covariance functions over irregular data regions

Stat ◽  
2020 ◽  
Vol 9 (1) ◽  
Author(s):  
Peter Simonson ◽  
Douglas Nychka ◽  
Soutir Bandyopadhyay
Keyword(s):  
Approximation Method ◽  
Numerical Approximation ◽  
Covariance Functions ◽  
Integrated Covariance ◽  
Irregular Data

scholarly journals High-resolution central-upwind scheme for second-order macroscopic traffic flow models

2020 ◽  
Vol 31 (07) ◽  
pp. 2050097
Author(s):  
Jianzhong Chen ◽  
Ronghui Liu ◽  
Yanmei Hu
Keyword(s):  
High Resolution ◽  
Traffic Flow ◽  
Approximation Method ◽  
Numerical Approximation ◽  
Second Order ◽  
Upwind Scheme ◽  
Flow Models ◽  
Macroscopic Traffic Flow ◽  
Traffic Flow Models ◽  
Macroscopic Traffic Flow Models

Traffic flow models are important tools for traffic management applications such as traffic incident detection and traffic control. In this paper, we propose a novel numerical approximation method for second-order macroscopic traffic flow models. The method is based on the semi-discrete central-upwind numerical flux and high-order reconstructions for spatial discretizations. We then apply the designed high-resolution schemes to three representative types of second-order traffic flow models and perform a variety of numerical experiments to validate the proposed methods. The simulation results illustrate the effectiveness, simplicity and universality of the central-upwind scheme as numerical approximation method for macroscopic traffic flow models.

On the Estimation of Integrated Covariance Functions of Stationary Random Fields

2010 ◽  
Vol 37 (1) ◽  
pp. 47-66 ◽  
Author(s):  
URSA PANTLE ◽  
VOLKER SCHMIDT ◽  
EVGENY SPODAREV
Keyword(s):  
Random Fields ◽  
Covariance Functions ◽  
Stationary Random Fields ◽  
Integrated Covariance

System Identification through RBF Neural Networks: Improving Accuracy by a Numerical Approximation Method for the Centroids and Widths Adjustment

2018 ◽  
Author(s):  
Paulo D. L. Oliveira ◽  
Arthur P. S. Braga ◽  
Laurinda L. N. Reis ◽  
Fabrício G. Nogueira ◽  
Antônio B. S. Júnior
Keyword(s):  
Neural Networks ◽  
System Identification ◽  
Approximation Method ◽  
Numerical Approximation ◽  
Rbf Neural Networks ◽  
Improving Accuracy
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