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A Stable SBP-SAT FDTD Subgridding Method Without Region Split
arXiv:2604.14618v2 Announce Type: replace Abstract: A provably stable summation-by-parts simultaneous approximation term (SBP-SAT) finite-difference time-domain (FDTD) subgridding method without region split is proposed. By designing projection SBP operators tailored for embedded topological features and deriving the corresponding SAT boundary conditions, this approach guarantees long-time stability through discrete energy analysis. Unlike conventional SBP-SAT FDTD subgridding techniques...
SBP-Net: Learning Thin Structure Reconstruction with Sliding-Box Projections
Announce Type: new Abstract: Reconstructing thin 3D structures is challenging due to their sparsity, scale variation, and complex geometry. Such structures arise in a wide range of domains, including medical imaging of vascular systems and industrial pipe systems. While recent neural methods perform well on dense surfaces, they often fail to recover fine thin geometries.
High-Order Summation-By-Parts Schemes for First-Order Hyperbolic Systems in Curvilinear Coordinates with Singularities
Announce Type: cross Abstract: Formulating stable numerical methods for hyperbolic systems in curvilinear coordinate with singularities, e.g. spherical coordinates, is complicated by the presence of these singularities. We present a method for constructing high-order accurate, energy-stable finite difference operators satisfying the Summation-by-Parts (SBP) property on spherical domains, extending ideas presented by [C. Gundlach, J. M. Mart\'in-Garc\'ia, and D. Garfinkle, CQG 30, 145003 (2013)].
Bacteria uncover distinct strategy to import rare sugar polymers, crystal structures show
Bacteria uncover distinct strategy to import rare sugar polymers, crystal structures show Sadie Harley Scientific Editor Andrew Zinin Lead Editor Even though sugars are often framed as simple sources of energy, they also serve as structurally complex and functionally diverse molecules that mediate interactions between organisms. Among these, β-1,2-glucans, which are a class of glucose-based polymers, stand out for their varied and sometimes subtle roles. Found across a wide range of...
Segregation Before Polarization: How Recommendation Strategies Shape Echo Chamber Pathways
arXiv:2601.16457v2 Announce Type: replace Abstract: Social media platforms facilitate echo chambers through feedback loops between user preferences and recommendation algorithms. While algorithmic homogeneity is well-documented, the distinct evolutionary pathways driven by content-based versus link-based recommendations remain unclear. Using an extended dynamic Bounded Confidence Model (BCM), we show that content-based algorithms -- unlike their link-based counterparts -- steer social...
Pandoc Templates
Results A clean pandoc LaTeX template to convert your markdown files to PDF or LaTeX. It is designed for lecture notes and exercises with a focus on computer science. The template is compatible with pandoc 3.
Segregation Before Polarization: How Recommendation Strategies Shape Echo Chamber Pathways
arXiv:2601.16457v2 Announce Type: replace-cross Abstract: Social media platforms facilitate echo chambers through feedback loops between user preferences and recommendation algorithms. While algorithmic homogeneity is well-documented, the distinct evolutionary pathways driven by content-based versus link-based recommendations remain unclear. Using an extended dynamic Bounded Confidence Model (BCM), we show that content-based algorithms -- unlike their link-based counterparts -- steer social...