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We study the problem of propagation of linear water waves in a deep water in the presence of a critically submerged body (i.e. the body touching the water surface). Assuming uniqueness of the solution in the energy space, we prove the…

Analysis of PDEs · Mathematics 2012-02-07 Ilia Kamotski , Vladimir Maz'ya

Cell segmentation is a critical step for quantitative single-cell analysis in microscopy images. Existing cell segmentation methods are often tailored to specific modalities or require manual interventions to specify hyper-parameters in…

Recent advancements in quantum computing and quantum-inspired algorithms have sparked renewed interest in binary optimization. These hardware and software innovations promise to revolutionize solution times for complex problems. In this…

The machine-part cell formation problem consists of creating machine cells and their corresponding part families with the objective of minimizing the inter-cell and intra-cell movement while maximizing the machine utilization. This article…

Computational Engineering, Finance, and Science · Computer Science 2012-12-24 Tamal Ghosh , Pranab K Dan

We investigate a minimal model for cell propagation involving migration along self-generated signaling gradients and cell division, which has been proposed in an earlier study. The model consists in a system of two coupled parabolic…

Analysis of PDEs · Mathematics 2022-03-11 Mete Demircigil

In this paper we show and discuss the use of a versatile interaction potential approach coupled with an immersed boundary method to simulate a variety of flows involving deformable bodies. In particular, we focus on two kinds of problems,…

The immersed boundary method is an approach to fluid-structure interaction that uses a Lagrangian description of the structural deformations, stresses, and forces along with an Eulerian description of the momentum, viscosity, and…

Numerical Analysis · Mathematics 2017-02-27 Boyce E. Griffith , Xiaoyu Luo

The Immersed Boundary Method (IBM) is a popular numerical approach to impose boundary conditions without relying on body-fitted grids, thus reducing the costly effort of mesh generation. To obtain enhanced accuracy, IBM can be combined with…

Numerical Analysis · Mathematics 2024-01-10 Victor J. Llorente , Jiaqing Kou , Eusebio Valero , Esteban Ferrer

Model merging aims to cheaply combine individual task-specific models into a single multitask model. In this work, we view past merging methods as leveraging different notions of a ''task parameter subspace'' in which models are matched…

Machine Learning · Computer Science 2024-04-16 Derek Tam , Mohit Bansal , Colin Raffel

We propose a gradient descent method for solving optimization problems arising in settings of tropical geometry - a variant of algebraic geometry that has attracted growing interest in applications such as computational biology, economics,…

Optimization and Control · Mathematics 2025-11-17 Roan Talbut , Anthea Monod

Flow-matching generative models are increasingly used to simulate cell responses to biological perturbations. However, the design space for building such models is large and underexplored. We systematically analyse the design space of flow…

Computer Vision and Pattern Recognition · Computer Science 2026-03-31 Charles Jones , Emmanuel Noutahi , Jason Hartford , Cian Eastwood

A coupled boundary spectral element method (BSEM) and spectral element method (SEM) formulation for the propagation of small-amplitude water waves over variable bathymetries is presented in this work. The wave model is based on the…

Numerical Analysis · Mathematics 2025-02-04 Antonio Cerrato , Luis Rodríguez-Tembleque , José A. González , M. H. Ferri Aliabadi

We investigate here the ability of a Green-Naghdi model to reproduce strongly nonlinear and dispersive wave propagation. We test in particular the behavior of the new hybrid finite-volume and finite-difference splitting approach recently…

Atmospheric and Oceanic Physics · Physics 2010-04-22 Florent Chazel , David Lannes , Fabien Marche

In this paper we propose and test the validity of simple and easy-to-implement algorithms within the immersed boundary framework geared towards large scale simulations involving thousands of deformable bodies in highly turbulent flows.…

Computational Physics · Physics 2018-09-26 Vamsi Spandan , Detlef Lohse , Marco D. de Tullio , Roberto Verzicco

Approximated numerical techniques, for the solution of the elastic wave scattering problem over semi-infinite domains are reviewed. The approximations involve the representation of the half-space by a boundary condition described in terms…

Computational Engineering, Finance, and Science · Computer Science 2014-10-14 Nicolás Guarín-Zapata , Juan Gómez , Juan Jaramillo

A high-order accurate implicit-mesh discontinuous Galerkin framework for wave propagation in single-phase and bi-phase solids is presented. The framework belongs to the embedded-boundary techniques and its novelty regards the spatial…

Numerical Analysis · Mathematics 2022-05-11 Vincenzo Gulizzi , Robert Saye

The purpose of this work is twofold: (a) To present the theoretical formulation of a 3D acoustic propagation model based on a Boundary Element Method (BEM), which uses a half-space Green function in place of the more conventional free-space…

Computational Physics · Physics 2023-05-17 Edmundo F. Lavia , Juan D. Gonzalez , Silvia Blanc

The Immersed Boundary (IB) method is a mathematical framework for constructing robust numerical methods to study fluid-structure interaction in problems involving an elastic structure immersed in a viscous fluid. The IB formulation uses an…

Numerical Analysis · Mathematics 2017-08-23 Yuanxun Bao , Aleksandar Donev , Boyce E. Griffith , David M. McQueen , Charles S. Peskin

In this paper, we develop second kind integral formulations for flexural wave scattering problems involving the clamped, supported, and free plate boundary conditions. While the clamped plate problem can be solved with layer potentials…

Numerical Analysis · Mathematics 2025-04-09 Peter Nekrasov , Zhaosen Su , Travis Askham , Jeremy G. Hoskins

This paper is about partitioning in parallel and distributed simulation. That means decomposing the simulation model into a numberof components and to properly allocate them on the execution units. An adaptive solution based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-07 Gabriele D'Angelo