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Inspired by multigrid methods for linear systems of equations, multilevel optimization methods have been proposed to solve structured optimization problems. Multilevel methods make more assumptions regarding the structure of the…

最优化与控制 · 数学 2019-11-27 Chin Pang Ho , Michal Kocvara , Panos Parpas

We have modeled transport properties of nanostructures using the Green's function method within the framework of the density-functional theory. The scheme is computationally demanding so that numerical methods have to be chosen carefully. A…

计算物理 · 物理学 2007-05-23 Paula Havu , Ville Havu , Martti J. Puska , Mikko H. Hakala , Adam S. Foster , Risto M. Nieminen

Finite element codes typically use data structures that represent unstructured meshes as collections of cells, faces, and edges, each of which require associated coordinate systems. One then needs to store how the coordinate system of each…

数值分析 · 数学 2021-02-16 Rainer Agelek , Michael Anderson , Wolfgang Bangerth , William Barth

By a high-order numerical homogenization method, a heterogeneous multiscale scheme was developed in Jin & Li (2022) for evolving differential equations containing two time scales. In this paper, we further explore the technique to propose…

数值分析 · 数学 2025-09-25 Bojin Chen , Zeyu Jin , Ruo Li

In soft matter science, it is often the goal to design new materials with targeted properties. These materials can be used in many applications, each requiring specific features to be optimized for maximum fitness. The use of self-assembly…

生物物理 · 物理学 2026-01-13 Luis Nieves-Rosado , Fernando Escobedo

This document gives an overview of a Grid testbed architecture proposal for the NorduGrid project. The aim of the project is to establish an inter-Nordic testbed facility for implementation of wide area computing and data handling. The…

分布式、并行与集群计算 · 计算机科学 2007-05-23 A. Waananen , M. Ellert , A. Konstantinov , B. Konya , O. Smirnova

This review discusses progress in efficient solvers which have as their foundation a representation in real space, either through finite-difference or finite-element formulations. The relationship of real-space approaches to linear-scaling…

材料科学 · 物理学 2009-10-31 Thomas L. Beck

Kinematic structures are very common in the real world. They range from simple articulated objects to complex mechanical systems. However, despite their relevance, most model-based 3D tracking methods only consider rigid objects. To…

计算机视觉与模式识别 · 计算机科学 2023-02-20 Manuel Stoiber , Martin Sundermeyer , Wout Boerdijk , Rudolph Triebel

We present a new application of multi-orbit cyclic subspace codes to construct large optical orthogonal codes, with the aid of the multiplicative structure of finite fields extensions. This approach is different from earlier approaches…

信息论 · 计算机科学 2024-05-30 Ferruh Ozbudak , Paolo Santonastaso , Ferdinando Zullo

Smart grid can be considered as the next step in the evolution of power systems. It comprises of different entities and objects ranging from smart appliances, smart meters, generators, smart storages, and more. One key problem in modeling…

计算机科学中的逻辑 · 计算机科学 2017-11-28 Waseem Akram , Muaz A. Niazi

We propose an efficient reduced-order technique for electronic structure calculations of semiconductor nanostructures, suited for inclusion in full-band quantum transport simulators. The model is based on the linear combination of bulk…

介观与纳米尺度物理 · 物理学 2013-04-04 Francesco Bertazzi , Xiangyu Zhou , Michele Goano , Enrico Bellotti , Giovanni Ghione

Electronic-structure theory is the foundation of the description of materials including multiscale modeling of their properties and functions. Obviously, without sufficient accuracy at the base, reliable predictions are unlikely at any…

材料科学 · 物理学 2026-04-22 Joseph W. Abbott , Carlos Mera Acosta , Alaa Akkoush , Alberto Ambrosetti , Viktor Atalla , Alexej Bagrets , Jörg Behler , Daniel Berger , Hannah Bertschi , Björn Bieniek , Jonas Björk , Volker Blum , Saeed Bohloul , Connor L. Box , Nicholas Boyer , Danilo Simoes Brambila , Gabriel A. Bramley , Kyle R. Bryenton , María Camarasa-Gómez , Christian Carbogno , Fabio Caruso , Sucismita Chutia , Michele Ceriotti , Gábor Csányi , William Dawson , Francisco A. Delesma , Fabio Della Sala , Bernard Delley , Robert A. DiStasio , Maria Dragoumi , Sander Driessen , Marc Dvorak , Simon Erker , Ferdinand Evers , Eduardo Fabiano , Matthew R. Farrow , Florian Fiebig , Jakob Filser , Lucas Foppa , Lukas Gallandi , Alberto Garcia , Ralf Gehrke , Simiam Ghan , Luca M. Ghiringhelli , Mark Glass , Stefan Goedecker , Dorothea Golze , Matthias Gramzow , James A. Green , Andrea Grisafi , Andreas Grüneis , Jan Günzl , Stefan Gutzeit , Samuel J. Hall , Felix Hanke , Ville Havu , Xingtao He , Joscha Hekele , Olle Hellman , Uthpala Herath , Jan Hermann , Daniel Hernangómez-Pérez , Oliver T. Hofmann , Johannes Hoja , Simon Hollweger , Lukas Hörmann , Ben Hourahine , Wei Bin How , William P. Huhn , Marcel Hülsberg , Timo Jacob , Sara Panahian Jand , Hong Jiang , Erin R. Johnson , Werner Jürgens , J. Matthias Kahk , Yosuke Kanai , Kisung Kang , Petr Karpov , Elisabeth Keller , Roman Kempt , Danish Khan , Matthias Kick , Benedikt P. Klein , Jan Kloppenburg , Alexander Knoll , Florian Knoop , Franz Knuth , Simone S. Köcher , Jannis Kockläuner , Sebastian Kokott , Thomas Körzdörfer , Hagen-Henrik Kowalski , Peter Kratzer , Pavel Kůs , Raul Laasner , Bruno Lang , Björn Lange , Marcel F. Langer , Ask Hjorth Larsen , Hermann Lederer , Susi Lehtola , Maja-Olivia Lenz-Himmer , Moritz Leucke , Sergey Levchenko , Alan Lewis , O. Anatole von Lilienfeld , Konstantin Lion , Werner Lipsunen , Johannes Lischner , Yair Litman , Chi Liu , Qing-Long Liu , Songrui Liu , Andrew J. Logsdail , Michael Lorke , Zekun Lou , Iuliia Mandzhieva , Andreas Marek , Johannes T. Margraf , Reinhard J. Maurer , Tobias Melson , Florian Merz , Jörg Meyer , Georg S. Michelitsch , Teruyasu Mizoguchi , Evgeny Moerman , Dylan Morgan , Jack Morgenstein , Jonathan Moussa , Akhil S. Nair , Lydia Nemec , Harald Oberhofer , Alberto Otero-de-la-Roza , Ramón L. Panadés-Barrueta , Thanush Patlolla , Mariia Pogodaeva , Alexander Pöppl , Alastair J. A. Price , Thomas A. R. Purcell , Jingkai Quan , Nathaniel Raimbault , Markus Rampp , Karsten Rasim , Ronald Redmer , Xinguo Ren , Karsten Reuter , Norina A. Richter , Stefan Ringe , Patrick Rinke , Simon P. Rittmeyer , Herzain I. Rivera-Arrieta , Matti Ropo , Mariana Rossi , Victor Ruiz , Nikita Rybin , Andrea Sanfilippo , Matthias Scheffler , Christoph Scheurer , Christoph Schober , Franziska Schubert , Tonghao Shen , Christopher Shepard , Honghui Shang , Kiyou Shibata , Andrei Sobolev , Ruyi Song , Aloysius Soon , Daniel T. Speckhard , Pavel V. Stishenko , Elia Stocco , Muhammad N. Tahir , Izumi Takahara , Jun Tang , Zechen Tang , Thomas Theis , Franziska Theiss , Alexandre Tkatchenko , Milica Todorović , George Trenins , Oliver T. Unke , Álvaro Vázquez-Mayagoitia , Oscar van Vuren , Daniel Waldschmidt , Han Wang , Yanyong Wang , Jürgen Wieferink , Jan Wilhelm , Scott Woodley , Jianhang Xu , Yong Xu , Yi Yao , Yingyu Yao , Mina Yoon , Victor Wen-zhe Yu , Zhenkun Yuan , Marios Zacharias , Igor Ying Zhang , Min-Ye Zhang , Wentao Zhang , Xingchen Zhang , Rundong Zhao , Shuo Zhao , Ruiyi Zhou , Yuanyuan Zhou , Tong Zhu

In this survey paper, we review recent work on frameworks for the high-level, portable programming of heterogeneous multi-/manycore systems (especially, GPU-based systems) using high-level constructs such as annotated user-level software…

分布式、并行与集群计算 · 计算机科学 2014-05-14 Christoph Kessler , Usman Dastgeer , Lu Li

To create heterogeneous, multiscale structures with unprecedented functionalities, recent topology optimization approaches design either fully aperiodic systems or functionally graded structures, which compete in terms of design freedom and…

计算工程、金融与科学 · 计算机科学 2022-04-05 Yu-Chin Chan , Daicong Da , Liwei Wang , Wei Chen

Density functional theory (DFT) has emerged as one of the most versatile and lucrative approaches in electronic structure calculations of many-electron systems in past four decades. Here we give an account of the development of a…

化学物理 · 物理学 2019-04-19 Abhisek Ghosal , Amlan K. Roy

Deploying robot learning methods to aerial robots in unstructured environments remains both challenging and promising. While recent advances in deep reinforcement learning (DRL) have enabled end-to-end flight control, the field still lacks…

机器人学 · 计算机科学 2025-12-10 Kangyao Huang , Hao Wang , Jingyu Chen , Jintao Chen , Yu Luo , Di Guo , Xiangkui Zhang , Xiangyang Ji , Huaping Liu

To improve the quality of programs we provide an approach to guidance in the process of program development. At the higher level the various activities and their dependencies to structure the process are identified. At the lower level,…

软件工程 · 计算机科学 2024-11-21 Harrie Passier , Lex Bijlsma , Ruurd Kuiper , Kees Huizing

We study multilevel techniques, commonly used in PDE multigrid literature, to solve structured optimization problems. For a given hierarchy of levels, we formulate a coarse model that approximates the problem at each level and provides a…

最优化与控制 · 数学 2025-05-19 Ferdinand Vanmaele , Yara Elshiaty , Stefania Petra

The electronic charge density plays a central role in determining the behavior of matter at the atomic scale, but its computational evaluation requires demanding electronic-structure calculations. We introduce an atom-centered,…

The electronic structure of a material fundamentally determines its underlying physical, and by extension, its functional properties. Consequently, the ability to identify or generate materials with desired electronic properties would…

材料科学 · 物理学 2025-04-09 Shuyi Jia , Panchapakesan Ganesh , Victor Fung