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Ray flow methods provide efficient tools for modelling wave energy transport in complex systems at high-frequencies. We compare two Petrov-Galerkin discretizations of a phase-space boundary integral model for stationary wave energy…

Computational Physics · Physics 2023-10-02 David J. Chappell , Martin Richter , Gregor Tanner

We present new periodograms that are effective in distinguishing Doppler shift from spectral shape variability in astronomical spectra. These periodograms, building upon the concept of partial distance correlation, separate the periodic…

Instrumentation and Methods for Astrophysics · Physics 2022-04-06 Avraham Binnenfeld , Sahar Shahaf , Richard I. Anderson , Shay Zucker

Deformable convolution, originally proposed for the adaptation to geometric variations of objects, has recently shown compelling performance in aligning multiple frames and is increasingly adopted for video super-resolution. Despite its…

Computer Vision and Pattern Recognition · Computer Science 2020-09-16 Kelvin C. K. Chan , Xintao Wang , Ke Yu , Chao Dong , Chen Change Loy

In G dwarfs, the surface distribution, coverage and lifetimes of starspots deviate from solar-like patterns as the rotation rate increases. We set up a numerical platform which includes the large-scale rotational and surface flow effects,…

Solar and Stellar Astrophysics · Physics 2018-12-24 Emre Işık , Sami K. Solanki , Natalie A. Krivova , Alexander I. Shapiro

Many physical systems are well described on domains which are relatively large in some directions but relatively thin in other directions. In this scenario we typically expect the system to have emergent structures that vary slowly over the…

Dynamical Systems · Mathematics 2016-12-15 A. J. Roberts , J. E. Bunder

Reversibility is of paramount importance in the correct representation of surface peeling in various physical settings, ranging from motility in nature, to gripping devices in robotic applications, and even to sliding of tectonic plates.…

Soft Condensed Matter · Physics 2021-07-06 Evelyne Ringoot , Thibault Roch , Jean-François Molinari , Thierry J. Massart , Tal Cohen

Depth averaged conservation equations are written for granular surface flows. Their application to the study of steady surface flows in a rotating drum allows to find experimentally the constitutive relations needed to close these equations…

Condensed Matter · Physics 2016-02-26 D. Bonamy , F. Daviaud , L. Laurent

The paper studies processes defined on time domains structured as oriented spatial graphs (or metric graphs, or oriented branched 1-manifolds). This setting can be used, for example, for forecasting models involving branching scenarios. For…

Information Theory · Computer Science 2022-05-13 Nikolai Dokuchaev

The decoupling of multivariate functions is a powerful modeling paradigm for learning multivariate input-output relations from data. For the single-layer case, established CPD-based methods are available, but the multi-layer case remained…

Systems and Control · Electrical Eng. & Systems 2026-04-14 Joppe De Jonghe , Konstantin Usevich , Philippe Dreesen , Mariya Ishteva

The impact of statistical methodologies on studying groundwater has been significant in the last several decades, due to cheaper computational abilities and presence of technologies that enable us to extract and measure more and more data.…

Applications · Statistics 2025-06-02 Muralidharan K. , Agniva Das , Shrey Pandya , Jong Min Kim

This work establishes new convergence guarantees for gradient descent in smooth convex optimization via a computer-assisted analysis technique. Our theory allows nonconstant stepsize policies with frequent long steps potentially violating…

Optimization and Control · Mathematics 2024-02-06 Benjamin Grimmer

We develop a technique of multiple scale asymptotic expansions along mean flows and a corresponding notion of weak multiple scale convergence. These are applied to homogenize convection dominated parabolic equations with rapidly…

Analysis of PDEs · Mathematics 2016-09-29 Thomas Holding , Harsha Hutridurga , Jeffrey Rauch

Perfusion analysis computes blood flow parameters (blood volume, blood flow, mean transit time) from the observed flow of contrast agent, passing through the patient's vascular system. Perfusion deconvolution has been widely accepted as the…

Computational Engineering, Finance, and Science · Computer Science 2010-06-02 Oleg Pianykh

The Pade code has been developed to treat hydrodynamic turbulence in protoplanetary disks. It solves the compressible equations of motion in cylindrical coordinates. Derivatives are computed using non-diffusive and conservative fourth-order…

Earth and Planetary Astrophysics · Physics 2024-08-12 Karim Shariff

Classically, the time complexity of a first-order method is estimated by its number of gradient computations. In this paper, we study a more refined complexity by taking into account the `lingering' of gradients: once a gradient is computed…

Optimization and Control · Mathematics 2019-05-29 Zeyuan Allen-Zhu , David Simchi-Levi , Xinshang Wang

There has been considerable recent study in "sub-diffusion" models that replace the standard parabolic equation model by a one with a fractional derivative in the time variable. There are many ways to look at this newer approach and one…

Analysis of PDEs · Mathematics 2019-04-08 William Rundell , Zhidong Zhang

In recent years, SPDEs have become a well-studied field in mathematics. With their increase in popularity, it becomes important to efficiently approximate their solutions. Thus, our goal is a contribution towards the development of…

Numerical Analysis · Mathematics 2024-01-17 Evelyn Buckwar , Ana Djurdjevac , Monika Eisenmann

A block decomposition method is proposed for minimizing a (possibly non-convex) continuously differentiable function subject to one linear equality constraint and simple bounds on the variables. The proposed method iteratively selects a…

Optimization and Control · Mathematics 2019-03-06 Andrea Cristofari

Domain decomposition methods are used for approximate solving boundary problems for partial differential equations on parallel computing systems. Specific features of unsteady problems are taken into account in the most complete way in…

Numerical Analysis · Computer Science 2011-05-18 Petr N. Vabishchevich

Image convolutions have been a cornerstone of a great number of deep learning advances in computer vision. The research community is yet to settle on an equivalent operator for sparse, unstructured continuous data like point clouds and…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Dominic Jack , Frederic Maire , Simon Denman , Anders Eriksson