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A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums
arXiv:2605.30805v1 Announce Type: new Abstract: Particulate Stokes flow in confined, periodic geometries underlies a broad class of problems in biophysics, microfluidics, and the rheology of complex fluids. Boundary integral equation (BIE) methods are a natural tool for such problems, but existing periodization schemes rely either on periodic Green's functions, which are restrictive for complex confining geometries, or on free-space schemes that solve auxiliary proxy strengths alongside the...
A scalable Ewald-free BIE framework for periodic Stokes flow via hierarchical proxy sums
arXiv:2605.30805v1 Announce Type: cross Abstract: Particulate Stokes flow in confined, periodic geometries underlies a broad class of problems in biophysics, microfluidics, and the rheology of complex fluids. Boundary integral equation (BIE) methods are a natural tool for such problems, but existing periodization schemes rely either on periodic Green's functions, which are restrictive for complex confining geometries, or on free-space schemes that solve auxiliary proxy strengths alongside...
Prince William praised for breaking down stigma around periods in candid chat
Prince William praised for breaking down stigma around periods in candid chat Prince William chatted about menstrual health during a visit to the SXSW festival in London today, where he met with recipients of the Diana Legacy Award, which is named in honour of his late mother Prince William has been praised for helping break the stigma around periods after a discussion about menstrual health with young recipients of The Diana Legacy Award. Period equity and gender equality activist Vivi Lin...
A Uniformly High-Accuracy PML-BIE Method for Scattering by Periodic Arrays of Obstacles: The 2D Case
arXiv:2606.07971v1 Announce Type: cross Abstract: This paper presents a novel frequency-robust perfectly matched layer (PML) boundary integral equation (BIE) method for solving two-dimensional electromagnetic scattering problems involving periodic arrays of obstacles. In periodic scattering problems, standard BIE formulations based on the quasi-periodic Green's function require the evaluation of lattice sums or challenging Sommerfeld-type integrals, which diverge at Rayleigh--Wood (RW)...
A Uniformly High-Accuracy PML-BIE Method for Scattering by Periodic Arrays of Obstacles: The 2D Case
arXiv:2606.07971v1 Announce Type: new Abstract: This paper presents a novel frequency-robust perfectly matched layer (PML) boundary integral equation (BIE) method for solving two-dimensional electromagnetic scattering problems involving periodic arrays of obstacles. In periodic scattering problems, standard BIE formulations based on the quasi-periodic Green's function require the evaluation of lattice sums or challenging Sommerfeld-type integrals, which diverge at Rayleigh--Wood (RW)...
Britain is in the most dangerous period I've known, says country's most senior officer
Britain is in the most dangerous period I've known, says country's most senior officer Ever-changing nature of modern warfare and the growing threat from Russia means the UK is facing the most 'dangerous' period it has faced in decades warns the UK's top military officer Britain's most senior military officer has declared the UK is facing the "most dangerous period" he has known in his entire military career. Air Chief Marshal Sir Rich Knighton highlighted the soaring threat from Russia and...
FRWKV+: Periodic-Aware Adaptive Gating for Frequency-Space Linear Time Series Forecasting
arXiv:2605.15690v2 Announce Type: replace Abstract: Accurate and efficient long-term multivariate time series forecasting requires capturing recurring temporal structure while keeping inference cheap across many variables and horizons. Frequency-space models represent long-range and periodic variation compactly, but they typically process the real and imaginary spectral components as weakly coupled streams and treat periodic cues as ordinary input features, even when such cues are...
Forget Weimar, it’s Japan’s Taisho period we need to talk about
Forget Weimar, it’s Japan’s Taisho period we need to talk about As analysts warn about the far-right’s gains in Germany, we must also reckon with the historical events that prompted Japanese militarism People always talk knowingly about Weimar, a period of extremes: artistic and social-sexual decadence, democratic liberalism and the radicalisation of the left and the right, before Germany’s descent into Hitlerian hell. The city as a symbol, close to the site of the former Buchenwald...
Global Plane Waves From Local Gaussians: Periodic Charge Densities in a Blink
arXiv:2601.19966v2 Announce Type: replace-cross Abstract: We introduce ELECTRAFI, a fast, end-to-end differentiable model for predicting periodic charge densities in crystalline materials. ELECTRAFI constructs anisotropic Gaussians in real space and exploits their closed-form Fourier transforms to analytically evaluate plane-wave coefficients via the Poisson summation formula. This formulation delegates non-local and periodic behavior to analytic transforms, enabling reconstruction of the...
Global Plane Waves From Local Gaussians: Periodic Charge Densities in a Blink
arXiv:2601.19966v2 Announce Type: replace-cross Abstract: We introduce ELECTRAFI, a fast, end-to-end differentiable model for predicting periodic charge densities in crystalline materials. ELECTRAFI constructs anisotropic Gaussians in real space and exploits their closed-form Fourier transforms to analytically evaluate plane-wave coefficients via the Poisson summation formula. This formulation delegates non-local and periodic behavior to analytic transforms, enabling reconstruction of the...