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Research#Computational Fluid Dynamics🔬 ResearchAnalyzed: Jan 4, 2026 06:49

A space-time extension of a conservative two-fluid cut-cell method for moving diffusion problems

Published:Dec 29, 2025 10:40
1 min read
ArXiv

Analysis

This article presents a research paper on a numerical method for solving moving diffusion problems. The title suggests a focus on computational fluid dynamics and numerical analysis. The use of 'conservative' and 'cut-cell' indicates a specific approach to discretization and handling of boundaries. The 'space-time extension' implies an attempt to improve the method's accuracy or efficiency by considering both spatial and temporal aspects simultaneously. The source 'ArXiv' indicates that this is a pre-print or a published paper.
Reference

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research#numerical analysis🔬 ResearchAnalyzed: Jan 4, 2026 06:50

A high-order method for the numerical approximation of fractional nonlinear Schrödinger equations

Published:Dec 27, 2025 21:38
1 min read
ArXiv

Analysis

The article's title indicates a focus on a specific numerical method for solving fractional nonlinear Schrödinger equations. This suggests a research paper likely targeting a specialized audience in applied mathematics or physics. The use of 'high-order' implies an emphasis on accuracy and efficiency in the numerical solution. The source, ArXiv, confirms this is a pre-print or published research paper.
Reference

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Research#Computational Physics🔬 ResearchAnalyzed: Jan 10, 2026 08:10

Novel Scheme for Maxwell Equations in Dispersive Media

Published:Dec 23, 2025 10:44
1 min read
ArXiv

Analysis

This research explores a novel numerical method for solving Maxwell's equations in complex media, specifically focusing on energy preservation. The use of the Pick function approach offers a potential improvement in accuracy and stability for simulations involving dispersive materials.
Reference

“A Pick function approach for designing energy-decay preserving schemes.”

PermalinkArXiv