An arXiv preprint presents a Green-function-based resonant-state expansion for calculating material perturbations in open acoustic resonators. In a two-dimensional cylindrical model, it reports excellent agreement with exact analytical and finite-element results.
A computational preprint tests a resonant-state expansion for acoustic scattering in open resonators. The calculations agree with analytical and numerical reference models while exposing how different resonant states contribute to scattering features.
A five-case computational study tested a high-order virtual element framework for variable-stiffness plates with complex shapes. VC-VEM variants and standard self-stabilized VEM maintained good accuracy when fiber orientation varied, while standard stabilized VEM lost accuracy as approximation order increased and produced incorrect buckling loads or mode shapes in some distorted-mesh cases.
The framework keeps weighted polynomial norms within explicit bounds that tighten with refinement. In numerical illustrations, canonical reconstruction produced much smaller errors than one-pass synthesis, although broader comparisons remain unresolved.
The study separates filtered spectral-tail improvement from aliasing and identifies conditional recovery and saturation branches for exact and inexact sampling.
A preprint compares an implicit BDF2 dual-time-stepping method with SSPRK3 in a hypersonic cylinder and a Mach 10 Taylor–Green vortex simulation, reporting similar numerical behavior and a 27% wall-clock reduction in the vortex efficiency test.
A mathematical study of a stochastic surface-growth equation found numerical signs that rougher noise is associated with a fading contribution from the model’s nonlinear current, but the result appeared only at higher tested roughness settings.
A new computational method for hybrid plasma equations retained low numerical rank while preserving key conservation diagnostics in benchmark tests. The findings are limited to the model geometry, collision treatment and numerical settings reported in the preprint.
An arXiv methods preprint reports overall cycle speedups of 7×–45× for SGCT-PIC and 3×–11× for HSG-PIC, with standard and hierarchical implementations agreeing up to roundoff in the reported simulations.
An arXiv preprint describes a mathematical method for estimating three-dimensional obstacle shapes from time-dependent sound-wave reflections. Tests on a tilted peanut and a sea-star model found that direction count mattered, while the sea-star reconstruction was reported as satisfactory in noise tests up to 30%.
A new arXiv preprint describes a fabrication and optimization framework for thick, non-manifold origami metamaterials. The work combines hinged modules, mechanical fasteners and graph-based topology optimization, then tests the designs in small and large physical prototypes. The demonstrations show feasibility, but they do not establish maximum capacity, durability or superiority over other ways.