18 papers · ranked by Valyu relevance
Mechthild Thalhammer, Gregor Thalhammer
The year 2025 marks the 100 and 30 years anniversaries of the discovery of Bose–Einstein condensation and its successful experimental realisation. Inspired by these important research achievements, a conceptually simple approach is proposed to facilitate reliable and efficient numerical simulations. The structure of…
Francesca Romana Crucinio, Sahani Pathiraja
Wasserstein-Fisher-Rao (WFR) gradient flows have been recently proposed as a powerful sampling tool that combines the advantages of pure Wasserstein (W) and pure Fisher-Rao (FR) gradient flows. Existing algorithmic developments implicitly make use of operator splitting techniques to numerically approximate the WFR…
Nicholas Di, Eric C. Chi, Samy Wu Fung
Operator splitting algorithms are a cornerstone of modern first-order optimization, decomposing complex problems into simpler subproblems solved via proximal operators. However, most functions lack closed-form proximal operators, which has long restricted these methods to a narrow set of problems. Hamilton-Jacobi-based…
Qin, Liqian, Gibali, Aviv + 4 more
In this paper, we introduce three novel splitting algorithms for solving structured monotone inclusion problems involving the sum of a maximally monotone operator, a monotone and Lipschitz continuous operator and a cocoercive operator. Each proposed method extends one of the classical schemes: the…
Kevin Schäfers, Michael Günther
We propose a hierarchical splitting approach to differential equations that provides a design principle for constructing splitting methods for N-split systems by iteratively applying splitting methods for two-split systems. We analyze the convergence order, derive explicit formulas for the leading-order error terms…
Yunus Aslan, Michael Pycraft Hughes
Droplet microfluidics enables precise manipulation of picoliter-to-nanoliter-scale droplets and supports key operations such as merging, splitting, sorting, and trapping, facilitating controlled handling of minute fluid volumes. These capabilities have significantly advanced high-throughput drug discovery, single-cell…
Sergio Blanes, Alejandro Escorihuela-Tomàs
Low-storage explicit Runge-Kutta schemes are particularly popular for the numerical integration of time-dependent partial differential equations based on the method-of-lines due to their efficiency and their reduced memory requirements. We show that D-splitting methods, splitting methods on the extended phase space…
Fang Zhang, Jianxin Chen, Giuliano Benenti
Error correction is an essential part of the theory of quantum computation. However, new quantum computation students may find the theories of error correction and fault tolerance daunting, or they may be stuck with theoretical/outdated schemes (such as the one in the original proof of the threshold theorem by Aharonov…
Sir-Lord Wiafe, Najme Soleimani, Vince D. Calhoun
Many complex systems comprise interacting components whose relationships evolve over time, posing a fundamental challenge across physics, engineering, and biology: quantifying time-varying interactions between variables. Despite decades of methodological development, existing approaches remain fragmented, obscuring the…
Patricia Rodríguez-Jiménez, Paula Alonso-Ramos, Isabel Acosta, David Álvarez-Melo + 1 more
Chromosome dynamics, recombination, and nucleolar organization intersect during meiotic prophase I, yet how recombination context influences nucleolar architecture remains unclear. We analyzed the nucleolar pool of Cdc14 in Saccharomyces cerevisiae under matched prophase-I gating. In a recombination-competent reference…
M. L. Kringelbach, G. Deco
Brain dynamics can be described in three different convenient mathematical languages, namely connectome harmonics, turbulence and complex harmonics (CHARM). Here we demonstrate that these theoretical frameworks can be rigorously unified, under the functional calculus, as one self-adjoint operator and its single…
Hao Liang, Liang Chen, Haifeng Zhang, Xiaowei Liu + 2 more
Droplet splitting technology on open digital microfluidic platforms still faces significant challenges in terms of process complexity, the degree of automation, and operating conditions, which hinder its further development. This study proposes a fully automated method for precise droplet splitting based on printed…
Authors not listed
We present the inclusion of spin-orbit coupling (SOC) effects in linearized pair-density functional theory (L-PDFT), which is a multi-state extension of multiconfiguration pair-density functional theory (MC-PDFT). Both 1-electron and 2-electron SOC integrals are computed using Breit-Pauli and Douglas-Kroll-Hess…
Gang Wang, Bo Ren, Jingjing Liu, Enhui Wang + 3 more
The thermal shock resistance (TSR) of refractories is a critical determinant of the service life and operational safety of high-temperature industrial equipment in metallurgy, building materials, and chemical engineering. This paper systematically reviews the state-of-the-art research on the evaluation of TSR for…
Patricia Rodríguez-Jiménez, Paula Alonso-Ramos, Isabel Acosta, David Álvarez-Melo + 2 more
Chromosome dynamics, recombination, and nucleolar organization intersect during meiotic prophase I, yet how the recombination context influences nucleolar architecture remains unclear. We analyzed the nucleolar pool of Cdc14 in Saccharomyces cerevisiae under matched prophase I gating and a uniform, frame-based…
Alberto Maspero, Federico Murgante
We consider the problem of transfer of energy to high frequencies in a quasilinear Schrödinger equation with sublinear dispersion, on the one dimensional torus. We exhibit initial data undergoing finite but arbitrary large Sobolev norm explosion: their initial norm is arbitrary small in Sobolev spaces of high…
Authors not listed
Exciton-polaritons are quasi-particles formed by the quantum mechanical hybridization of electronic and photonic excitations. Despite extensive investigations, a fundamental understanding of molecular polariton spectra and the polariton delocalization from an \textit{ab initio} theoretical perspective remains elusive.…
Robert Denk, Floris B. Roodenburg
We prove well-posedness and higher-order regularity for a linear structurally damped plate equation with inhomogeneous Dirichlet-Neumann boundary conditions on the half-space and on bounded domains. To this end, we study maximal regularity properties of the related first-order system on weighted Sobolev spaces of…