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Simulations with high accuracy are an essential part of scientific research to accelerate the innovation process. They are especially useful for finding novel approaches or optimizing existing methods. Today, powerful software tools are…

Medical Physics · Physics 2022-08-31 Patrick Vogel , Martin A. Rückert , Thomas Kampf , Volker C. Behr

Current merged precipitation products such as IMERG, GSMAP, and CMORPH combine satellite estimates from passive microwave (PMW) and infrared (IR) observations. However, the different information content of these sensors makes it challenging…

Atmospheric and Oceanic Physics · Physics 2026-05-11 Simon Pfreundschuh , Christian D. Kummerow , Jackson Tan , George J. Huffman

We present a novel parametric finite element approach for simulating the surface diffusion of curves and surfaces. Our core strategy incorporates a predictor-corrector time-stepping method, which enhances the classical first-order temporal…

Numerical Analysis · Mathematics 2024-12-17 Wei Jiang , Chunmei Su , Ganghui Zhang , Lian Zhang

Understanding the quasi-static fracture formation and evolution is essential for assessing the mechanical properties and structural load-bearing capacity of materials. Peridynamics (PD) provides an effective computational method to depict…

Numerical Analysis · Mathematics 2024-10-17 Shiwei Hu , Tianbai Xiao , Mingshuo Han , Zuoxu Li , Erkan Oterkus , Selda Oterkus , Yonghao Zhang

In order to describe or estimate different quantities related to a specific random variable, it is of prime interest to numerically generate such a variate. In specific situations, the exact generation of random variables might be either…

Probability · Mathematics 2020-04-07 Samuel Herrmann , Cristina Zucca

We introduce methods for estimating the spectral density of a random field on a $d$-dimensional lattice from incomplete gridded data. Data are iteratively imputed onto an expanded lattice according to a model with a periodic covariance…

Methodology · Statistics 2019-08-12 Joseph Guinness

We focus on non-stationary Maxwell equations defined on a regular patch of elements as considered in the isogeometric analysis (IGA). We apply the time-integration scheme following the ideas developed by the finite difference community [M.…

Numerical Analysis · Mathematics 2021-07-20 Maciej Paszynski , Marcin Los , Judit Munoz-Matute

We present an algorithm to solve the dispersive depth-averaged Serre-Green-Naghdi (SGN) equations using patch-based adaptive mesh refinement. These equations require adding additional higher derivative terms to the nonlinear shallow water…

Numerical Analysis · Mathematics 2024-09-04 Marsha J. Berger , Randall J. LeVeque

A finite-difference time-domain (FDTD) modelling of finite-size zero thickness space-time modulated Huygens' metasurfaces based on Generalized Sheet Transition Conditions (GSTCs), is proposed and numerically demonstrated. A typical…

Optics · Physics 2017-01-06 Scott A. Stewart , Tom J. Smy , Shulabh Gupta

In this paper, an efficient and accurate unified approach is proposed to solve transverse magnetic scattering problems by multilayer embedded objects. In the proposed approach, an equivalent current density is derived when the equivalent…

Computational Engineering, Finance, and Science · Computer Science 2020-01-23 Xiaochao Zhou , Zekun Zhu , Shunchuan Yang

Experimentally obtained X-ray diffraction (XRD) patterns can be difficult to solve, precluding the full characterization of materials, pharmaceuticals, and geological compounds. Herein, we propose a method based upon a multi-objective…

Materials Science · Physics 2024-07-09 Stefano Racioppi , Alberto Otero De la Roza , Samad Hajinazar , Eva Zurek

Periodic material or crystal property prediction using machine learning has grown popular in recent years as it provides a computationally efficient replacement for classical simulation methods. A crucial first step for any of these…

Machine Learning · Computer Science 2024-05-08 Jonathan Balasingham , Viktor Zamaraev , Vitaliy Kurlin

The projection-based wave function (WF)-in-DFT embedding enables an efficient description of both the energetics and properties of large and complex chemical systems, with accuracy exceeding that of pure DFT. Recently, we have proposed…

Chemical Physics · Physics 2025-11-18 Enzo Monino , Daria Drwal , Pavel Beran , Michał Hapka , Libor Veis , Katarzyna Pernal

An efficient finite-difference time-domain (FDTD) algorithm is built to solve the transverse electric 2D Maxwell's equations with inhomogeneous dielectric media where the electric fields are discontinuous across the dielectric interface.…

Computational Physics · Physics 2023-07-14 Timothy Meagher , Bin Jiang , Peng Jiang

We consider a two-stage numerical procedure for imaging of objects buried in dry sand using time-dependent backscattering experimental radar measurements. These measurements are generated by a single point source of electric pulses and are…

Numerical Analysis · Mathematics 2014-09-04 Larisa Beilina , Nguyen Trung Thành , Michael V. Klibanov , John Bondestam Malmberg

The increasing demand for larger and higher fidelity simulations has made Adaptive Mesh Refinement (AMR) and unstructured mesh techniques essential to focus compute effort and memory cost on just the areas of interest in the simulation…

Graphics · Computer Science 2025-01-23 Xuan Huang , Will Usher , Valerio Pascucci

This review article revisits and outlines the perfectly matched layer (PML) method and its various formulations developed over the past 25 years for the numerical modeling and simulation of wave propagation in unbounded media. Based on the…

Classical Physics · Physics 2021-04-21 Florent Pled , Christophe Desceliers

Electrostatic interactions between dielectric objects are complex and of a many-body nature, owing to induced surface bound charge. We present a collection of techniques to simulate dynamical dielectric objects. We calculate the surface…

Soft Condensed Matter · Physics 2018-09-17 Kipton Barros , Daniel Sinkovits , Erik Luijten

We present a new polynomial-free prolongation scheme for Adaptive Mesh Refinement (AMR) simulations of compressible and incompressible computational fluid dynamics. The new method is constructed using a multi-dimensional kernel-based…

Numerical Analysis · Mathematics 2022-10-12 Steven I. Reeves , Dongwook Lee , Adam Reyes , Carlo Graziani , Petros Tzeferacos

Dissipative particle dynamics (DPD) is a novel particle method for mesoscale modeling of complex fluids. DPD particles are often thought to represent packets of real atoms, and the physical scale probed in DPD models are determined by the…

Chemical Physics · Physics 2016-10-18 R. Qiao , P. He
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