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Related papers: Projected Augmented Waves (PAW) motivated mixed ba…

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In solid-state physics, energies of crystals are usually computed with a plane-wave discretization of Kohn-Sham equations. However the presence of Coulomb singularities requires the use of large plane-wave cut-offs to produce accurate…

Numerical Analysis · Mathematics 2023-01-02 Mi-Song Dupuy

The exchange-only optimized effective potential method is implemented with the use of Slater-type basis functions, seeking for an alternative to the standard methods of solution with some computational advantages. This procedure has been…

Chemical Physics · Physics 2011-12-22 J. J. Fernandez , J. E. Alvarellos , P. Garcia-Gonzalez , M. Filatov

The projection of the eigenfunctions obtained in standard plane-wave first-principle electronic-structure calculations into atomic-orbital basis sets is proposed as a formal and practical link between the methods based on plane waves and…

Condensed Matter · Physics 2009-10-28 Daniel Sanchez-Portal , Emilio Artacho , Jose M. Soler

In the context of digital twins, structural health monitoring (SHM) constitutes the backbone of condition-based maintenance, facilitating the interconnection between virtual and physical assets. Guided wave propagation (GWP) is commonly…

Machine Learning · Computer Science 2023-07-20 G. I. Drakoulas , T. V. Gortsas , D. Polyzos

The newly developed machine learning (ML) empirical pseudopotential (EP) method overcomes the poor transferability of the traditional EP method with the help of ML techniques while preserving its formal simplicity and computational…

Materials Science · Physics 2025-11-20 Sungmo Kang , Rokyeon Kim , Seungwu Han , Young-Woo Son

We have developed an efficient computational scheme utilizing the real-space finite-difference formalism and the projector augmented-wave (PAW) method to perform precise first-principles electronic-structure simulations based on the density…

In a previous work we introduced, in the context of gravitational wave science, an initial study on an automated domain-decomposition approach for reduced basis through hp-greedy refinement. The approach constructs local reduced bases of…

General Relativity and Quantum Cosmology · Physics 2023-10-24 Franco Cerino , Andrés Diaz-Pace , Emmanuel Tassone , Manuel Tiglio , Atuel Villegas

The so-called local density approximation plus the multi-orbital mean-field Hubbard model (LDA+U) has been implemented within the all-electron projector augmented-wave method (PAW), and then used to compute the insulating antiferromagnetic…

Strongly Correlated Electrons · Physics 2009-10-31 O. Bengone , M. Alouani , P. Bloechl , J. Hugel

This paper presents W-waveform Standing Surface Acoustic Waves (W-SSAW), and as its application, patterning of two groups of microparticles with different sizes alternately without fixing firstly patterned particles. W-SSAW is constructed…

Fluid Dynamics · Physics 2016-11-11 Junseok Lee

We examine the influence of the relativistic effects within the linear augmented plane wave method (LAPW) for solids and propose a few alternative ways to accurately take them into account: (1) we introduce new radial dependencies for LAPW…

Materials Science · Physics 2026-04-14 A. V. Nikolaev , U. N. Kurelchuk , E. V. Tkalya

The quantum simulation of real molecules and materials is one of the most highly anticipated applications of quantum computing. Algorithms for simulating electronic structure using a first-quantized plane wave representation are especially…

Quantum Physics · Physics 2025-01-22 William J. Huggins , Oskar Leimkuhler , Torin F. Stetina , K. Birgitta Whaley

We present a method for the first-principles calculation of nuclear magnetic resonance (NMR) J-coupling in extended systems using state-of-the-art ultrasoft pseudopotentials and including scalar-relativistic effects. The use of ultrasoft…

Materials Science · Physics 2014-08-12 Timothy F. G. Green , Jonathan R. Yates

A new cumulant-based $GW$ approximation for the retarded one-particle Green's function is proposed, motivated by an exact relation between the improper Dyson self-energy and the cumulant generating function. Qualitative aspects of this…

Strongly Correlated Electrons · Physics 2016-09-21 Matthew Z. Mayers , Mark S. Hybertsen , David R. Reichman

We present exact solutions of two-body problem for spin-1/2 fermions with isotropic spin-orbit(SO) coupling and interacting with an arbitrary short-range potential. We find that in each partial-wave scattering channel, the parametrization…

Quantum Gases · Physics 2012-02-16 Xiaoling Cui

A mixed basis approach based on density functional theory is employed for low dimensional systems. The basis functions are taken to be plane waves for the periodic direction multiplied by B-spline polynomials in the non-periodic direction.…

Computational Physics · Physics 2015-05-20 Chung-Yuan Ren , Chen-Shiung Hsue , Yia-Chung Chang

The many-body perturbation theory within the $GW$ approximation is a widely used method for describing the electronic band structures in real materials. Its application to large-scale systems is, however, impeded by its high computational…

Materials Science · Physics 2026-05-22 Min-Ye Zhang , Peize Lin , Rong Shi , Xinguo Ren

Probabilistic amplitude shaping (PAS) is a coded modulation strategy in which constellation shaping and channel coding are combined. PAS has attracted considerable attention in both wireless and optical communications. Achievable…

Information Theory · Computer Science 2020-07-14 Yunus Can Gültekin , Alex Alvarado , Frans M. J. Willems

Spectral approximation and variational inducing learning for the Gaussian process are two popular methods to reduce computational complexity. However, in previous research, those methods always tend to adopt the orthonormal basis functions,…

Machine Learning · Statistics 2021-07-15 Wenqi Fang , Guanlin Wu , Jingjing Li , Zheng Wang , Jiang Cao , Yang Ping

An accurate description of electron correlation energies in molecules requires either basis set extrapolation or the use of explicitly-correlated wave functions that address the deficiencies of standard determinantal expansions at short…

Chemical Physics · Physics 2025-12-09 Samuel R. Powell , Edward F. Valeev

The enhanced primordial scalar power spectrum is a widely studied mechanism for generating primordial gravitational waves (PGWs), also referred to as scalar-induced gravitational waves (SIGWs). This process also plays a pivotal role in…

Cosmology and Nongalactic Astrophysics · Physics 2025-04-23 Debottam Nandi , Rohan Roy , Simran Yadav , Arnab Sarkar