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The electron pair approximation offers a resource efficient variational quantum eigensolver (VQE) approach for quantum chemistry simulations on quantum computers. With the number of entangling gates scaling quadratically with system size…

Estimating the ground-state energy of Hamiltonians is a fundamental task for which it is believed that quantum computers can be helpful. Several approaches have been proposed toward this goal, including algorithms based on quantum phase…

量子物理 · 物理学 2025-11-26 Dhrumil Patel , Daniel Koch , Saahil Patel , Mark M. Wilde

The reduced density matrix (RDM) is crucial in quantum many-body systems for understanding physical properties, including all local physical quantity information. This study aims to minimize various error constraints that causes challenges…

量子物理 · 物理学 2024-01-01 Nayuta Takemori , Yusuke Teranishi , Wataru Mizukami , Nobuyuki Yoshioka

Computational chemistry has become an important tool to predict and understand molecular properties and reactions. Even though recent years have seen a significant growth in new algorithms and computational methods that speed up quantum…

化学物理 · 物理学 2023-07-26 Albert Thie , Maximilian F. S. J. Menger , Shirin Faraji

Autonomy and electrification in automotive control systems have made modern-day powertrains one of the most complex cyber-physical systems. This paper presents a benchmark algorithm to quantify the performance of complex automotive systems…

系统与控制 · 电气工程与系统科学 2021-06-04 Hamza Anwar , Aashrith Vishwanath , Apurva Chunodkar , Qadeer Ahmed

Relativistic, quantum electrodynamics, as well as non-adiabatic corrections and couplings, are computed for the b $^3\Pi_\mathrm{g}$ and c $^3\Sigma_\mathrm{g}^+$ electronic states of the helium dimer. The underlying Born-Oppenheimer…

化学物理 · 物理学 2025-09-03 Balázs Rácsai , Péter Jeszenszki , Ádám Margócsy , Edit Mátyus

Effective interactions that fit the low energy p-$^3$He experimental data have been constructed. They are based on the Resonating Group Method and a modified Orthogonality Condition Model in which Pauli and partly Pauli forbidden states are…

核理论 · 物理学 2007-05-23 S. Gojuki , S. Oryu , S. A. Sofianos

To further develop accurate and large-scale simulations of electrochemical interfaces, we propose a unified explicit electric potential framework to simultaneously predict atomic forces and electron density distributions. The framework…

化学物理 · 物理学 2026-04-14 Jingwen Zhou , Yawen Yu , Xuwei Liu , Chungen Liu

We present a new method, in the following called MMM2D, to accurately calculate the electrostatic energy and forces on charges being distributed in a two dimensional periodic array of finite thickness. It is not based on an Ewald summation…

软凝聚态物质 · 物理学 2009-11-07 Axel Arnold , Christian Holm

The self-healing diffusion Monte Carlo algorithm (SHDMC) [Reboredo, Hood and Kent, Phys. Rev. B {\bf 79}, 195117 (2009); Reboredo, {\it ibid.} {\bf 80}, 125110 (2009)] is extended to study the ground and excited states of magnetic and…

强关联电子 · 物理学 2011-06-10 Fernando Agustín Reboredo

In the paper a new method to solve the tree-dimensional reference interaction site model (3DRISM) integral equations is proposed. The algorithm uses the multi-grid technique which allows to decrease the computational expanses. 3DRISM…

统计力学 · 物理学 2012-05-01 Volodymyr P. Sergiievskyi

Electric power distribution systems will encounter fluctuations in supply due to the introduction of renewable sources with high variability in generation capacity. It is therefore necessary to provide algorithms that are capable of…

最优化与控制 · 数学 2018-05-07 Marie Maros , Joakim Jaldén

This paper is about computationally tractable methods for power system parameter estimation and Optimal Experiment Design (OED). Here, the main motivation is that OED has the potential to significantly increase the accuracy of power system…

系统与控制 · 电气工程与系统科学 2022-09-19 Xu Du , Alexander Engelmann , Timm Faulwasser , Boris Houska

New stochastic approaches for the computation of electronic excitations are developed within the many-body perturbation theory. Three approximations to the electronic self-energy are considered: $G_0W_0$, $G_0W_0^tc$, and…

化学物理 · 物理学 2019-08-27 Vojtech Vlcek

In quantum nanoelectronics devices, the electrostatic energy is the largest energy scale at play and, to a large extend, it determines the charge distribution inside the devices. Here, we introduce the Pure Electrostatic Self consistent…

介观与纳米尺度物理 · 物理学 2026-04-15 A. Lacerda-Santos , Xavier Waintal

This paper presents a joint optimisation framework for optimal estimation and stochastic optimal control with imperfect information. It provides a estimation and control scheme that can be decomposed into a classical optimal estimation step…

最优化与控制 · 数学 2023-03-27 Emilien Flayac , Karim Dahia , Bruno Hérissé , Frédéric Jean

The Poisson-Boltzmann equation is a widely used model to study the electrostatics in molecular solvation. Its numerical solution using a boundary integral formulation requires a mesh on the molecular surface only, yielding accurate…

数值分析 · 数学 2020-09-25 Vicente Ramm , Jehanzeb H. Chaudhry , Christopher D. Cooper

We present an amelioration of current known algorithms for optimal spectral partitioning problems. The idea is to use the advantage of a representation using density functions while decreasing the computational time. This is done by…

最优化与控制 · 数学 2017-05-25 Beniamin Bogosel

The fracture simulation of random particle reinforced composite structures remains a challenge. Current techniques either assumed a homogeneous model, ignoring the microstructure characteristics of composite structures, or considered a…

数值分析 · 数学 2022-12-23 Zihao Yang , Shaoqi Zheng , Shangkun Shen , Fei Han

An adaptive finite element method is presented for the elastic scattering of a time-harmonic plane wave by a periodic surface. First, the unbounded physical domain is truncated into a bounded computational domain by introducing the…

数值分析 · 数学 2016-05-30 Xue Jiang , Peijun Li , Junliang Lv , Weiying Zheng