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A mixed basis approach based on density functional theory is extended to one-dimensional(1D) systems. The basis functions here are taken to be the localized B-splines for the two finite non-periodic dimensions and the plane waves for the…

材料科学 · 物理学 2016-04-20 Chung-Yuan Ren , Yia-Chung Chang , Chen-Shiung Hsue

The best way to combine the results of deep learning with standard 3D reconstruction pipelines remains an open problem. While systems that pass the output of traditional multi-view stereo approaches to a network for regularisation or…

计算机视觉与模式识别 · 计算机科学 2022-07-28 Tristan Laidlow , Jan Czarnowski , Andrea Nicastro , Ronald Clark , Stefan Leutenegger

This short note presents some variant schemes of boundary variation diminishing (BVD) algorithm in one dimension with the results of numerical tests for linear advection equation to facilitate practical use. In spite of being presented in…

数值分析 · 数学 2017-08-04 Xi Deng , Bin Xie , Feng Xiao

The balanced incomplete block design (BIBD) problem is a difficult combinatorial problem with a large number of symmetries, which add complexity to its resolution. In this paper, we propose a dual (integer) problem representation that…

神经与进化计算 · 计算机科学 2024-11-05 David Rodríguez Rueda , Carlos Cotta , Antonio J. Fernández-Leiva

The generalized Brillouin zone (GBZ), which is the core concept of the non-Bloch band theory to rebuild the bulk boundary correspondence in the non-Hermitian topology, appears as a closed loop generally. In this work, we find that even if…

介观与纳米尺度物理 · 物理学 2021-06-14 Gang-Feng Guo , Xi-Xi Bao , Lei Tan

For a function that is analytic on and around an interval, Chebyshev polynomial interpolation provides spectral convergence. However, if the function has a singularity close to the interval, the rate of convergence is near one. In these…

数值分析 · 数学 2017-08-10 Kevin W. Aiton , Tobin A. Driscoll

Inverse design of inorganic crystals, in which structures are generated to satisfy a target property while preserving diversity and physical plausibility, remains more demanding than ab initio generation, as property conditioning can…

材料科学 · 物理学 2026-05-05 Ibuki Okuda , Izumi Takahara , Teruyasu Mizoguchi

A new section of databases and programs devoted to double crystallographic groups (point and space groups) has been implemented in the Bilbao Crystallographic Server (http://www.cryst.ehu.es). The double crystallographic groups are required…

Standard procedures for local crystal-structure optimisation involve numerous energy and force calculations. It is common to calculate an energy-volume curve, fitting an equation of state around the equilibrium cell volume. This is a…

Integration-by-parts (IBP) reduction is one of the essential steps in evaluating Feynman integrals. A modern approach to IBP reduction uses modular arithmetic evaluations with parameters set to numerical values at sample points, followed by…

高能物理 - 唯象学 · 物理学 2025-05-27 Alexander Smirnov , Mao Zeng

This paper considers the shape formation problem within the 3D hybrid model, where a single agent with a strictly limited viewing range and the computational capacity of a deterministic finite automaton manipulates passive tiles through…

数据结构与算法 · 计算机科学 2024-05-15 Kristian Hinnenthal , David Liedtke , Christian Scheideler

Efficient computation of lattice defect geometries such as point defects, dislocations, disconnections, grain boundaries, interfaces and free surfaces requires accurate coupling of displacements near the defect to the long-range elastic…

材料科学 · 物理学 2013-08-06 Joseph A. Yasi , Dallas R. Trinkle

This article presents an algorithm to compute digital images of Voronoi, Johnson-Mehl or Laguerre diagrams of a set of punctual sites, in a domain of a Euclidean space of any dimension. The principle of the algorithm is, in a first step, to…

计算几何 · 计算机科学 2022-02-01 H Moulinec

Cubic spline interpolation on Euclidean space is a standard topic in numerical analysis, with countless applications in science and technology. In several emerging fields, for example computer vision and quantum control, there is a growing…

数值分析 · 数学 2018-10-03 Geir Bogfjellmo , Klas Modin , Olivier Verdier

In this paper, a synergistic computational/experimental approach is presented for the rapid discovery and characterization of novel alloys within the compositionally complex (i.e., "medium/high entropy") refractory alloy space of…

Binary embeddings provide efficient and powerful ways to perform operations on large scale data. However binary embedding typically requires long codes in order to preserve the discriminative power of the input space. Thus binary coding…

数据结构与算法 · 计算机科学 2015-12-08 Felix X. Yu , Aditya Bhaskara , Sanjiv Kumar , Yunchao Gong , Shih-Fu Chang

We present a scheme for the improved description of the long-range interatomic force constants in a more accurate way than the procedure which is commonly used within plane-wave based density-functional perturbation-theory calculations. Our…

材料科学 · 物理学 2013-05-29 Katalin Gaal-Nagy , Dieter Strauch

A new differential-recurrence relation for the B-spline functions of the same degree is proved. From this relation, a recursive method of computing the coefficients of B-spline functions of degree $m$ in the Bernstein-B\'{e}zier form is…

数值分析 · 数学 2022-10-13 Filip Chudy , Paweł Woźny

In this investigation, we propose several algorithms to recover the location and intensity of a radiation source located in a simulated 250 m x 180 m block in an urban center based on synthetic measurements. Radioactive decay and detection…

应用统计 · 统计学 2016-07-05 Razvan Stefanescu , Kathleen Schmidt , Jason Hite , Ralph Smith , John Mattingly

The development of spintronic devices demands the existence of materials with some kind of spin splitting (SS). In this Data Descriptor, we build a database of ab initio calculated SS in 2D materials. More than that, we propose a workflow…