scholarly journals D5.4 Report on MLMC for time dependent problems

2021 ◽  
Author(s):  
Q. Ayoul-Guilmard ◽  
S. Ganesh ◽  
M. Nuñez ◽  
R. Tosi ◽  
F. Nobile ◽  
...  
Keyword(s):  
Fluid Flow ◽  
Time Window ◽  
Practical Interest ◽  
Time Dependent ◽  
Flow Problems ◽  
Control Variate ◽  
Multi Level ◽  
High Reynolds ◽  
Time Dependent Problems ◽  
Different Levels

In this report, we study the use of Multi-Level Monte Carlo (MLMC) methods for time dependent problems. It was found that the usability of MLMC methods depends strongly on whether or not the underlying time dependent problem is chaotic in nature. Numerical experiments are conducted on both simple problems, as well as fluid flow problems of practical interest to the ExaQUte project, to demonstrate this. For the non-chaotic cases, the hypotheses that enable the use of MLMC methods were found to be satisfied. For the chaotic cases, especially the case of high Reynolds’ number fluid flow, the hypotheses were not satisfied. However, it was found that correlations between the different levels were high enough to merit the use of multi-fidelity or control-variate approaches. It was also noted that MLMC methods could work for chaotic problems if the time window of analysis were chosen to be small enough. Future studies are proposed to examine this possibility.

scholarly journals Linear time-dependent fluid flow problems

1968 ◽  
Vol 26 (1) ◽  
pp. 1-9
Author(s):  
Y. D. Wadhwa ◽  
T. W. Wineinger
Keyword(s):  
Fluid Flow ◽  
Linear Time ◽  
Time Dependent ◽  
Flow Problems

The Logical and Compositional Organization of the Lecture (Based on a Lecture from M. Mamardashvili’s Course “Lectures on Proust”)

2020 ◽  
pp. 72-81
Author(s):  
Aleksandra A. Talanina ◽  
Keyword(s):  
Academic Discourse ◽  
Basic Function ◽  
Literary Language ◽  
Linguistic Features ◽  
Specific Nature ◽  
Teaching Process ◽  
Discourse Studies ◽  
Multi Level ◽  
Spatiotemporal Coordination ◽  
Different Levels

Functional and stylistic studies give us an idea of linguistic features of speech products, thus enabling style identification. These specific features become most recognizable when comparing styles. Discourse studies, on the contrary, are mainly focused on understanding and describing basic factors of creating a form of a literary language (style) and factors that determine the characteristics of speech products in individual situations within a socially significant sphere. This article presents an analysis of the logical and compositional organization of the lecture as a genre of academic discourse, taking a university lecture from M. Mamardashvili’s course on M. Proust as an example. The specific nature of the lecture genre in academic discourse is determined by its basic function in the teaching process implemented in direct dialogue with the audience. The research is based on the thesis that a lecture is an event that can be analysed using the concept of chronotope. The use of this concept beyond the analysis of fiction is relevant since spatiotemporal coordination is mandatory for any speech product, regardless of the sphere it is created in or the functions it performs. The main feature of the lecture chronotope is multi-level organization, since a lecture has its own internal spatiotemporal coordinates. The lecture chronotope is explicated at different levels of the text (compositional, lexical and grammatical), which are interconnected. Considering this, two interconnected frameworks of the lecture – structural and semantic – are singled out; they provide the logical and compositional organization of the material, which is important to ensure students’ understanding.

Turnout in Multi-Level Systems

2017 ◽  
Author(s):  
Sona N. Golder ◽  
Ignacio Lago ◽  
André Blais ◽  
Elisabeth Gidengil ◽  
Thomas Gschwend
Keyword(s):  
National Level ◽  
The Body ◽  
Political Community ◽  
The Political ◽  
European Level ◽  
National Elections ◽  
Political Issues ◽  
European Elections ◽  
Multi Level ◽  
Different Levels

Voters face different incentives to turn out to vote in one electoral arena versus another. Although turnout is lowest in European elections, it is found that the turnout is only slightly lower in regional than in national elections. Standard accounts suggest that the importance of an election, in terms of the policy-making power of the body to be elected, drives variation in turnout across elections at different levels. This chapter argues that this is only part of the story, and that voter attachment to a particular level also matters. Not all voters feel connected to each electoral arena in the same way. Although for some, their identity and the issues they most care about are linked to politics at the national level, for others, the regional or European level may offer the political community and political issues that most resonate with them.

Parties, Voters, and Multi-Level Elections

2017 ◽  
Author(s):  
Sona N. Golder ◽  
Ignacio Lago ◽  
André Blais ◽  
Elisabeth Gidengil ◽  
Thomas Gschwend
Keyword(s):  
Political Parties ◽  
Driving Force ◽  
Party System ◽  
Voting Behaviour ◽  
Electoral Institutions ◽  
Multi Level ◽  
Different Levels

This chapter argues that individual voting behaviour and the strategies chosen by political parties across multiple electoral arenas should be considered jointly. Existing literature points to the importance of an election as a major driving force in voting behaviour, but it is argued that voters and parties may differ in their assessments of the importance of elections at different levels. The chapter discusses how the effect of the importance of an electoral arena, for both voter and party behaviour, will be conditioned by electoral institutions and characteristics of parties and the party system, in addition to individual voter characteristics contributing to it.

scholarly journals Fast multipole solvers for three-dimensional radiation and fluid flow problems

1999 ◽  
Vol 7 ◽  
pp. 408-417 ◽  
Author(s):  
J. H. Strickland ◽  
L. A. Gritzo ◽  
R. S. Baty ◽  
G. F. Homicz ◽  
S. P. Burns
Keyword(s):  
Fluid Flow ◽  
Three Dimensional ◽  
Fast Multipole ◽  
Flow Problems
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