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Nuclear Magnetic Resonance (NMR) spectroscopy is one of the most powerful and widely used tools for molecular structure elucidation in organic chemistry. However, the interpretation of NMR spectra to determine unknown molecular structures…

Chemical Physics · Physics 2025-09-03 Yongqi Jin , Jun-Jie Wang , Fanjie Xu , Xiaohong Ji , Zhifeng Gao , Linfeng Zhang , Guolin Ke , Rong Zhu , Weinan E

We present the first high order one-step ADER-WENO finite volume scheme with Adaptive Mesh Refinement (AMR) in multiple space dimensions. High order spatial accuracy is obtained through a WENO reconstruction, while a high order one-step…

Numerical Analysis · Mathematics 2015-03-11 Michael Dumbser , Olindo Zanotti , Arturo Hidalgo , Dinshaw S. Balsara

An approach to utilizing adaptive mesh refinement algorithms for storm surge modeling is proposed. Currently numerical models exist that can resolve the details of coastal regions but are often too costly to be run in an ensemble…

Numerical Analysis · Mathematics 2014-01-23 Kyle T. Mandli , Clint N. Dawson

Anisotropic Porous Medium Equation (APME) is developed as an extension of the Porous Medium Equation (PME) for anisotropic porous media. A special analytical solution is derived for APME for time-independent diffusion. Anisotropic mesh…

Numerical Analysis · Mathematics 2017-08-25 Xianping Li

RNA function is tied to secondary structure, operating through dynamic and heterogeneous structural ensembles. While current analysis tools typically output single static structures or averaged contact maps, chemical probing methods like…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Jianhui Li , Redmond P. Smyth , Guido Sanguinetti , Giovanni Bussi

Nuclear Magnetic Resonance (NMR) spectroscopy is a crucial analytical technique used for molecular structure elucidation, with applications spanning chemistry, biology, materials science, and medicine. However, the frequency resolution of…

Algorithms that promise to leverage resources of quantum computers efficiently to accelerate the finite element method have emerged. However, the finite element method is usually incorporated into a high-level numerical scheme which allows…

Quantum Physics · Physics 2025-04-03 Elise Fressart , Michel Nowak , Nicole Spillane

We present a review of high-performance automatic modulation recognition (AMR) models proposed in the literature to classify various Radio Frequency (RF) modulation schemes. We replicated these models and compared their performance in terms…

Machine Learning · Computer Science 2025-02-19 Elaheh Jafarigol , Behnoud Alaghband , Azadeh Gilanpour , Saeid Hosseinipoor , Mirhamed Mirmozafari

Micro-expression recognition (MER) presents a significant challenge due to the transient and subtle nature of the motion changes involved. In recent years, deep learning methods based on attention mechanisms have made some breakthroughs in…

Computer Vision and Pattern Recognition · Computer Science 2025-01-07 Lijun Zhang , Yifan Zhang , Weicheng Tang , Xinzhi Sun , Xiaomeng Wang , Zhanshan Li

For simulation studies of (macro) molecular liquids it would be of significant interest to be able to adjust or increase the level of resolution within one region of space, while allowing for the free exchange of molecules between open…

Explosive nucleosynthesis is a combination of the nuclear physics of thermonuclear reactions, and the hydrodynamics of the plasma in which the reactions occur. It depends upon the initial conditions---the stellar evolution up to the…

Astrophysics · Physics 2009-10-31 David Arnett

The physical characteristics and evolution of a large-scale helium plume are examined through a series of numerical simulations with increasing physical resolution using adaptive mesh refinement (AMR). The five simulations each model a 1~m…

Adaptive mesh refinement (AMR) is indispensable for efficient finite element analyses. However, its performance depends not only on the refinement itself but also on strategy to mark elements for refinement and the way it is tuned. This…

Computational Engineering, Finance, and Science · Computer Science 2026-05-08 Oliver Wege , Kaan Atak , Marek Behr , Norbert Hosters

Benefiting from the vigorous development of deep learning, many CNN-based image super-resolution methods have emerged and achieved better results than traditional algorithms. However, it is difficult for most algorithms to adaptively adjust…

Computer Vision and Pattern Recognition · Computer Science 2022-09-20 Yuxi Cai , Huicheng Lai , Zhenghong Jia

We consider a framework for the construction of iterative schemes for operator equations that combine low-rank approximation in tensor formats and adaptive approximation in a basis. Under fairly general assumptions, we obtain a rigorous…

Numerical Analysis · Mathematics 2014-03-17 Markus Bachmayr , Wolfgang Dahmen

We examine the conditions under which binary and multiple stars may form out of turbulent molecular cloud cores using high resolution 3-D, adaptive mesh refinement (AMR) hydrodynamics (Truelove et al., 1997, 1998; Klein, 1999). We argue…

Astrophysics · Physics 2007-05-23 R. I Klein , R. T. Fisher , C. F. McKee

Today's scientific simulations generate exceptionally large volumes of data, challenging the capacities of available I/O bandwidth and storage space. This necessitates a substantial reduction in data volume, for which error-bounded lossy…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-02 Daoce Wang , Jesus Pulido , Pascal Grosset , Jiannan Tian , James Ahrens , Dingwen Tao

The forest-of-refinement-trees approach allows for dynamic adaptive mesh refinement (AMR) at negligible cost. While originally developed for quadrilateral and hexahedral elements, previous work established the theory and algorithms for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-25 David Knapp , Johannes Albrecht Holke , Thomas Spenke , Carsten Burstedde , Lukas Dreyer

Adaptive mesh refinement (AMR) is widely used to efficiently resolve localized features in time-dependent partial differential equations (PDEs) by selectively refining and coarsening the mesh. However, in long-horizon simulations, repeated…

Numerical Analysis · Mathematics 2026-02-10 Kumar Saurabh , Makrand A. Khanwale , Masado Ishii , Hari Sundar , Baskar Ganapathysubramanian

While electron microscopy offers crucial atomic-resolution insights into structure-property relationships, radiation damage severely limits its use on beam-sensitive materials like proteins and 2D materials. To overcome this challenge, we…

Computer Vision and Pattern Recognition · Computer Science 2025-07-18 Zifei Wang , Zian Mao , Xiaoya He , Xi Huang , Haoran Zhang , Chun Cheng , Shufen Chu , Tingzheng Hou , Xiaoqin Zeng , Yujun Xie
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