Algorithmic Number Theory

Geemen, Bert van; Top, Jaap

doi:10.1007/b98210

Cited by 14 publications

References 6 publications

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Time‐parallel implicit integrators for the near‐real‐time prediction of linear structural dynamic responses

Farhat

Cortial

Dastillung

et al. 2006

Numerical Meth Engineering

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SUMMARYThe time-parallel framework for constructing parallel implicit time-integration algorithms (PITA) is revisited in the specific context of linear structural dynamics and near-real-time computing. The concepts of decomposing the time-domain in time-slices whose boundaries define a coarse time-grid, generating iteratively seed values of the solution on this coarse time-grid, and using them to timeadvance the solution in each time-slice with embarrassingly parallel time-integrations are maintained. However, the Newton-based corrections of the seed values, which so far have been computed in PITA and related approaches on the coarse time-grid, are eliminated to avoid artificial resonance and numerical instability. Instead, the jumps of the solution on the coarse time-grid are addressed by a projector which makes their propagation on the fine time-grid computationally feasible while avoiding artificial resonance and numerical instability. The new PITA framework is demonstrated for a complex structural dynamics problem from the aircraft industry. Its potential for near-real-time computing is also highlighted with the solution of a relatively small-scale problem on a Linux cluster system.

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Time‐parallel implicit integrators for the near‐real‐time prediction of linear structural dynamic responses

Farhat

Cortial

Dastillung

et al. 2006

Numerical Meth Engineering

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A time‐parallel implicit method for accelerating the solution of non‐linear structural dynamics problems

Cortial

Farhat

2008

Numerical Meth Engineering

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SUMMARYThe Parallel Implicit Time-integration Algorithm (PITA) is among a very limited number of timeintegrators that have been successfully applied to the time-parallel solution of linear second-order hyperbolic problems such as those encountered in structural dynamics. Time-parallelism can be of paramount importance to fast computations, for example, when space-parallelism is unfeasible as in problems with a relatively small number of degrees of freedom in general, and reduced-order model applications in particular, or when reaching the fastest possible CPU time is desired and requires the exploitation of both space-and time-parallelisms. This paper extends the previously developed PITA to the nonlinear case. It also demonstrates its application to the reduction of the time-to-solution on a Linux cluster of sample nonlinear structural dynamics problems.

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Organizations as Socially Constructed Agents in the Agent Oriented Paradigm

Boella

Torre

2005

Lecture Notes in Computer Science

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Abstract. In this paper we propose a new role for the agent metaphor in the definition of the organizational structure of multiagent systems. The agent metaphor is extended to consider as agents also social entities like organizations, groups and normative systems, so that mental attitudes can be attributed to them -beliefs, desires and goals -and also an autonomous and proactive behavior. We show how the metaphor can be applied also to structure organizations in functional areas and roles, which are described as agents too. Thus, the agent metaphor can play a role similar to the object oriented metaphor which allows structuring objects in component objects. Finally, we discuss how the agent metaphor addresses the problems of control and communication in such structured organizations.

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Algorithmic Number Theory

Cited by 14 publications

References 6 publications

Time‐parallel implicit integrators for the near‐real‐time prediction of linear structural dynamic responses

Time‐parallel implicit integrators for the near‐real‐time prediction of linear structural dynamic responses

A time‐parallel implicit method for accelerating the solution of non‐linear structural dynamics problems

Organizations as Socially Constructed Agents in the Agent Oriented Paradigm

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