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We present an efficient implementation of periodic Gaussian density fitting (GDF) using the Coulomb metric. The three-center integrals are divided into two parts by range-separating the Coulomb kernel, with the short-range part evaluated in…

化学物理 · 物理学 2021-04-08 Hong-Zhou Ye , Timothy C. Berkelbach

Localized representation of the Kohn-Sham subspace plays an important role in quantum chemistry and materials science. The recently developed selected columns of the density matrix (SCDM) method [J. Chem. Theory Comput. 11, 1463, 2015] is a…

数值分析 · 数学 2017-08-22 Anil Damle , Lin Lin , Lexing Ying

We present a subspace projection technique to conduct large-scale Kohn-Sham density functional theory calculations using spectral finite-element discretization. The proposed method treats both metallic and insulating materials in a single…

计算物理 · 物理学 2015-10-26 Phani Motamarri , Vikram Gavini

Recently, an approximate theoretical framework was introduced, called local reduced density matrix functional theory (local-RDMFT), where functionals of the one-body reduced density matrix (1-RDM) are minimized under the additional…

Koopmans spectral functionals are a powerful extension of Kohn-Sham density-functional theory (DFT) that enable the prediction of spectral properties with state-of-the-art accuracy. The success of these functionals relies on capturing the…

材料科学 · 物理学 2024-12-23 Yannick Schubert , Sandra Luber , Nicola Marzari , Edward Linscott

This paper presents a self-contained factorization for the delay Vandermonde matrix (DVM), which is the super class of the discrete Fourier transform, using sparse and companion matrices. An efficient DVM algorithm is proposed to reduce the…

信号处理 · 电气工程与系统科学 2022-06-03 S. M. Perera , A. Madanayake , R. J. Cintra

A density functional theory (DFT) framework is presented that links functional derivatives of free-energy functionals to non-linear static density response functions in quantum many-body systems. Within this framework, explicit expressions…

This work proposes a new class of preconditioners for the low rank Generalized Minimal Residual Method (GMRES) for multiterm matrix equations arising from implicit timestepping of linear matrix differential equations. We are interested in…

数值分析 · 数学 2024-10-11 Shixu Meng , Daniel Appelo , Yingda Cheng

Static correlation is a difficult problem for density-functional theory (DFT) as it arises in cases of degenerate or quasi-degenerate states where a multideterminantal wave function provides the simplest reasonable first approximation to…

化学物理 · 物理学 2024-01-01 Abraham Ponra , Carolyne Bakasa , Anne Justine Etindele , Mark E. Casida

We present our novel evolutionary algorithm for generating Special Quasirandom Structures (SQS) designed to optimize the computational efficiency of Density Functional Theory (DFT) computations. Operating on the premise that symmetry…

无序系统与神经网络 · 物理学 2026-02-12 Andrzej P. Kądzielawa

Diffusion-based large language models (dLLMs) have recently gained significant attention for their exceptional performance and inherent potential for parallel decoding. Existing frameworks further enhance its inference efficiency by…

计算与语言 · 计算机科学 2025-12-01 Linye Wei , Wenjue Chen , Pingzhi Tang , Xiaotian Guo , Le Ye , Runsheng Wang , Meng Li

Ideal density-functional approximations (DFAs) should account for dynamic, static, and nondynamic correlation. While common DFAs struggle with the latter two, the Ziegler-Rauk-Baerends-Daul multiplet sum method (MSM) provides a pragmatic…

化学物理 · 物理学 2026-05-29 Mark E Casida , Abraham Ponra , Gadzikano Munyuki , Bharathi Natarajan

In this paper, we discuss the steady and time-dependent nonlinear convection-diffusion (advection-diffusion) equations with the Dirichlet boundary condition. For the steady nonlinear equation, we use an iteration method to reformulate the…

数值分析 · 数学 2025-07-28 Qiwei Feng , Catalin Trenchea

The GW approach produces highly accurate quasiparticle energies, but its application to large systems is computationally challenging, which can be largely attributed to the difficulty in computing the inverse dielectric matrix. To address…

材料科学 · 物理学 2023-07-26 Mario G. Zauchner , Andrew Horsfield , Johannes Lischner

A detailed account of the implementation of equations of the Relativistic Density Functional Theory (RDFT) using basis sets of APW/LAPW type with flexible extensions provided by local orbitals is given. Earlier discoveries of the importance…

材料科学 · 物理学 2021-04-07 Andrey L. Kutepov

We present low-scaling algorithms for $GW$ and constrained random phase approximation based on a symmetry-adapted interpolative separable density fitting (ISDF) procedure that incorporates the space-group symmetries of crystalline systems.…

材料科学 · 物理学 2024-01-24 Chia-Nan Yeh , Miguel A. Morales

The discrete dipole approximation (DDA) is a popular numerical method for calculating the scattering properties of atmospheric ice crystals. The standard DDA formulation involves the uniform discretization of the underlying volume integral…

计算物理 · 物理学 2019-03-26 Samuel P. Groth , Athanasios G. Polimeridis , Jacob K. White

Neural network potentials (NNPs) are crucial for accelerating computational materials science by surrogating density functional theory (DFT) calculations. Improving their accuracy is possible through pre-training and fine-tuning, where an…

机器学习 · 计算机科学 2025-05-29 Yosuke Oyama , Yusuke Majima , Eiji Ohta , Yasufumi Sakai

A novel parallel hybrid quantum-classical algorithm for the solution of the quantum-chemical ground-state energy problem on gate-based quantum computers is presented. This approach is based on the reduced density-matrix functional theory…

In this study, we propose Shortcut Fine-Tuning (SFT), a new approach for addressing the challenge of fast sampling of pretrained Denoising Diffusion Probabilistic Models (DDPMs). SFT advocates for the fine-tuning of DDPM samplers through…

机器学习 · 计算机科学 2024-09-23 Ying Fan , Kangwook Lee