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12 papers · 1 filter
Uniform estimates for a fully discrete scheme integrating the linear heat equation on a bounded interval with pure Neumann boundary conditions
Guillaume Dujardin, Pauline Lafitte
This manuscript deals with the analysis of numerical methods for the full discretization (in time and space) of the linear heat equation with Neumann boundary conditions, and it pr…
Coupling and Simulation of Fluid-Structure Interaction Problems for Automotive Sun-roof on Graphics Processing Unit
Liang S. Lai, Choi-Hong Lai, Abal-Kassim Cheik Ahamed +1
In this paper, the authors propose an analysis of the frequency response function in a car compartment, subject to some fluctuating pressure distribution along the open cavity of t…
Parallel Sub-Structuring Methods for solving Sparse Linear Systems on a cluster of GPU
Abal-Kassim Cheik Ahamed, Frédéric Magoulès
The main objective of this work consists in analyzing sub-structuring method for the parallel solution of sparse linear systems with matrices arising from the discretization of par…
On the discrete-time simulation of the rough Heston model
Alexandre Richard, Xiaolu Tan, Fan Yang
We study Euler-type discrete-time schemes for the rough Heston model, which can be described by a stochastic Volterra equation (with non-Lipschtiz coefficient functions), or by an…
Coarse Space Correction for Graphic Analysis
Guillaume Gbikpi-Benissan, Frederic Magoules
In this paper we present an effective coarse space correction addressed to accelerate the solution of an algebraic linear system. The system arises from the formulation of the prob…
Experimenting with the p4est library for AMR simulations of two-phase flows
Florence Drui, Alexandru Fikl, Pierre Kestener +4
Many physical problems involve spatial and temporal inhomogeneities that require a very fine discretization in order to be accurately simulated. Using an adaptive mesh, a high leve…