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20212026
most citedImproving Efficiency of Parallel Across the Method Spectral Deferred Corrections

7 citations · 17 across the 14 of their papers we have counts for

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6 papers · 1 filter

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…

math.NA2026

Tracking in-silico Lagrangian sensors in a lab-scale stirred tank reactor

Vamika Rathi, Fatima Sehar, Finn Sommer +4

Lagrangian sensors have shown promise to improve operator awareness of conditions inside a chemical reactor but three-dimensional tracking remains a mostly unsolved challenge. We e…

stat.AP2026

Bathymetry Reconstruction by Bayesian Inference

Lars Stietz, Sebastian Götschel, Peter Schleper +1

Bathymetry reconstruction is an important problem in various fields, including oceanography and environmental monitoring. This paper presents a Bayesian inference approach to recon…

cs.LG2026

Approximation of the Basset force in the Maxey-Riley-Gatignol equations via universal differential equations

Finn Sommer, Vamika Rathi, Sebastian Goetschel +1

The Maxey-Riley-Gatignol equations (MaRGE) model the motion of spherical inertial particles in a fluid. They contain the Basset force, an integral term which models history effects…

math.NA2026

Order jumps in Spectral Deferred Corrections

Eugen Bronasco, Joscha Fregin, Daniel Ruprecht +1

Spectral deferred corrections (SDC) are time-stepping schemes were a low-order integrator is used iteratively to produce a higher order numerical approximation. SDC methods are wel…