activity
20222026
most citedA unified analysis framework for iterative parallel-in-time algorithms

18 citations · 30 across the 6 of their papers we have counts for

collaborators

7 papers

math.NA2026

Space-Time Parallel Direct Numerical Simulation of Rayleigh-Bénard Convection

Thomas Saupe, Thibaut Lunet, Mathis Bode +3

Rayleigh-Bénard convection (RBC) is a model for turbulent flow and challenging to simulate by direct numerical simulation (DNS). Adequate resolution of all relevant length scales r…

cs.LG2026

Fourier Neural Operators for Rayleigh-Bénard Convection

Chelsea Maria John, Thibaut Lunet, Sebastian Götschel +3

We propose an improved Fourier Neural Operator (FNO) for modeling two-dimensional Rayleigh-Bénard convection by predicting time increments instead of full solutions, achieving high…

cs.DC2024

Resilience Against Soft Faults through Adaptivity in Spectral Deferred Correction

Thomas Saupe, Sebastian Götschel, Thibaut Lunet +2

As supercomputers grow in hardware complexity, their susceptibility to faults increases and measures need to be taken to ensure the correctness of results. Some numerical algorithm…

cs.CE2024★ 2 cited

Parallel performance of shared memory parallel spectral deferred corrections

Philip Freese, Sebastian Götschel, Thibaut Lunet +2

We investigate the parallel performance of Parallel Spectral Deferred corrections, a numerical approach that provides small-scale parallelism for the numerical solution of initial…

math.NA2024★ 7 cited

Improving Efficiency of Parallel Across the Method Spectral Deferred Corrections

Gayatri Čaklović, Thibaut Lunet, Sebastian Götschel +1

Parallel-across-the method time integration can provide small scale parallelism when solving initial value problems. Spectral deferred corrections (SDC) with a diagonal sweeper, wh…

math.NA2024★ 3 cited

Adaptive time step selection for Spectral Deferred Correction

Thomas Saupe, Sebastian Götschel, Thibaut Lunet +2

Spectral Deferred Correction (SDC) is an iterative method for the numerical solution of ordinary differential equations. It works by refining the numerical solution for an initial…

math.NA2022★ 18 cited

A unified analysis framework for iterative parallel-in-time algorithms

M. J. Gander, T. Lunet, D. Ruprecht +1

Parallel-in-time integration has been the focus of intensive research efforts over the past two decades due to the advent of massively parallel computer architectures and the scali…