Statistical analysis of complex and spatially dependent data: a review of object oriented spatial statistics

A Menafoglio, P Secchi - European journal of operational research, 2017 - Elsevier
We review recent advances in Object Oriented Spatial Statistics, a system of ideas,
algorithms and methods that allows the analysis of high dimensional and complex data …

Generalized Multiscale Finite Element Method for discrete network (graph) models

M Vasilyeva - Journal of Computational and Applied Mathematics, 2025 - Elsevier
In this paper, we consider a time-dependent discrete network model with highly varying
connectivity. The approximation by time is performed using an implicit scheme. We propose …

Macroscopic modeling approach to estimate traffic-related emissions in urban areas

YQ Jiang, PJ Ma, SG Zhou - Transportation Research Part D: Transport and …, 2018 - Elsevier
This paper integrates a macroscopic dynamic traffic assignment (DTA) model for urban traffic
flow with an instantaneous emission model to investigate traffic-related emissions in urban …

Multi-directional continuous traffic model for large-scale urban networks

L Tumash, C Canudas-de-Wit… - … research part B …, 2022 - Elsevier
In this paper, we propose a new multi-directional two-dimensional continuous model for
urban traffic. It is called the NEWS model, since it represents a system of four partial …

Two-dimensional macroscopic model for large scale traffic networks

S Mollier, ML Delle Monache, C Canudas-de-Wit… - … Research Part B …, 2019 - Elsevier
In this article we introduce a new traffic flow model for a dense urban area. We consider a
two-dimensional conservation law in which the velocity magnitude is given by the …

A multiscale method coupling network and continuum models in porous media I: steady-state single phase flow

J Chu, B Engquist, M Prodanović, R Tsai - Multiscale Modeling & Simulation, 2012 - SIAM
We propose a numerical multiscale method for coupling a conservation law for mass at the
continuum scale with a discrete network model that describes the microscale flow in a …

[HTML][HTML] Numerical homogenization of spatial network models

F Edelvik, M Görtz, F Hellman, G Kettil… - Computer Methods in …, 2024 - Elsevier
We present and analyze a methodology for numerical homogenization of spatial networks
models, eg heat conduction and linear deformation in large networks of slender objects …

Numerical upscaling of discrete network models

G Kettil, A Målqvist, A Mark, M Fredlund… - BIT Numerical …, 2020 - Springer
In this paper a numerical multiscale method for discrete networks is presented. The method
gives an accurate coarse scale representation of the full network by solving sub-network …

[PDF][PDF] Averaged kinetic models for flows on unstructured networks

M Herty, C Ringhofer - Kinet. Relat. Models, 2011 - researchgate.net
We derive a kinetic equation for flows on general, unstructured networks with applications to
production, social and transportation networks. This model allows for a homogenization …

A multiscale method coupling network and continuum models in porous media II—Single-and two-phase flows

J Chu, B Engquist, M Prodanović, R Tsai - Advances in Applied …, 2013 - Springer
We present a numerical multiscale method for coupling mass conservation laws at the
continuum scale with a discrete, pore scale network model for two-phase flow in porous …