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@informaq.bsky.socialOct 14, 2026, 7:47 PM

New quantum algorithms for high-dimensional integration achieve one convergence order improvement over deterministic classical methods using Faber-Schauder decomposition, with optimal lower bounds proven up to logarithmic factors.

#QuantumAlgorithms #NumericalAnalysis #Research

@denys-dutykh.comOct 10, 2026, 1:43 PM

Summing the Taylor series of a solution in time, even a divergent one, can give long time steps. With Ahmad Deeb, we found what breaks this idea for high-order finite elements, and how to repair it. Studies in Applied Mathematics (@wiley.com), 2024. 🧵 #NumericalAnalysis

Announcement card of Studies in Applied Mathematics, volume 153, issue 2 (August 2024), published by Wiley: the research article "Stabilized time-series expansions for high-order finite element solutions of partial differential equations" by Ahmad Deeb and Denys Dutykh, DOI 10.1111/sapm.12708. Beside the title, a page of the paper shows the Borel plane: a disc of convergence, a singularity on its edge, and a sector along which the series is continued.
@janmr.comSep 20, 2026, 1:17 PM

Introduction to the Finite Element Method: The Discrete Formulation janmr.com/posts/finite... #math #numericalanalysis #fem #pde

@worldscientific.bsky.socialSep 10, 2026, 1:33 AM

🌉🚆 This research investigates an extradosed bridge under dynamic train loads, combining #NumericalAnalysis and field testing to assess vibration, #DAF, and cable-breakage effects.

🔗 doi.org/10.1142/S021...

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