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DC Optimal Power Flow (DCOPF) is a key operational tool for power system operators, and it is embedded as a subproblem in many challenging optimization problems (e.g., line switching). However, traditional CPU-based solve routines (e.g.,…

Systems and Control · Electrical Eng. & Systems 2024-09-26 Seide Saba Rafiei , Samuel Chevalier

We present, to the best of our knowlegde, the first attempt to exploit the supercomputer platform for quantum chemical density matrix renormalization group (QC-DMRG) calculations. We have developed the parallel scheme based on the in-house…

Chemical Physics · Physics 2020-06-22 Jiří Brabec , Jan Brandejs , Karol Kowalski , Sotiris Xantheas , Örs Legeza , Libor Veis

We present the use of the recently developed Square Gradient Minimization (SGM) algorithm for excited state orbital optimization, to obtain spin-pure Restricted Open-Shell Kohn-Sham (ROKS) energies for core excited states of molecules. The…

Chemical Physics · Physics 2020-02-20 Diptarka Hait , Martin Head-Gordon

Based on the contractor renormalization group (CORE) method and the density matrix renormalization group (DMRG) method, a new computational scheme, which is called the block density matrix renormalization group with effective interactions…

Strongly Correlated Electrons · Physics 2009-11-18 Haibo Ma , Chungen Liu , Yuansheng Jiang

We present a modification of the $\Delta$SCF method of calculating energies of excited states, in order to make it applicable to resonance calculations of molecules adsorbed on metal surfaces, where the molecular orbitals are highly…

Materials Science · Physics 2009-03-06 Jeppe Gavnholt , Thomas Olsen , Mads Engelund , Jakob Schiøtz

This study benchmarks the GFN family of semiempirical methods (GFN1-xTB, GFN2-xTB, GFN0-xTB, and GFN-FF) against density functional theory (DFT) for the evaluation of optimized molecular geometries and electronic properties of small organic…

The quantum phase estimation algorithm stands as the primary method for determining the ground state energy of a molecular electronic Hamiltonian on a quantum computer. In this context, the ability to initialize a classically tractable…

Fragmentation methods applied to multireference wave functions constitute a road towards the application of highly accurate ab initio wave function calculations to large molecules and solids. However, it is important for reproducibility and…

Chemical Physics · Physics 2020-07-23 Matthew R. Hermes , Laura Gagliardi

Reduced density matrix functional theory (RDMFT) calculations are usually implemented in a decoupled manner, where the orbital and occupation optimizations are repeated alternately. Typically, orbital updates are performed using the unitary…

Chemical Physics · Physics 2024-09-04 Yi-Fan Yao , Neil Qiang Su

The quantum chemical version of the density matrix renormalization group (DMRG) method has established itself as one of the methods of choice for calculations of strongly correlated molecular systems. Despite its great ability to capture…

Chemical Physics · Physics 2021-08-31 Pavel Beran , Mikuláš Matoušek , Michał Hapka , Katarzyna Pernal , Libor Veis

Coarse-grained modeling and efficient computer simulations are critical to the study of complex molecular processes with many degrees of freedom and multiple spatiotemporal scales. Variational implicit-solvent model (VISM) for biomolecular…

Chemical Physics · Physics 2022-10-26 Shuang Liu , Zirui Zhang , Li-Tien Cheng , Bo Li

High-speed chemically active flows present significant computational challenges due to their disparate space and time scales, where stiff chemistry often dominates simulation time. While modern supercomputing scientific codes achieve…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-04 Anthony Carreon , Jagmohan Singh , Shivank Sharma , Shuzhi Zhang , Venkat Raman

Chemistry Foundation Models (CFMs) that leverage Graph Neural Networks (GNNs) operating on 3D molecular graph structures are becoming indispensable tools for computational chemists and materials scientists. These models facilitate the…

The Density Matrix Renormalization Group (DMRG) algorithm is a powerful tool for solving eigenvalue problems to model quantum systems. DMRG relies on tensor contractions and dense linear algebra to compute properties of condensed matter…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-01-26 Ryan Levy , Edgar Solomonik , Bryan K. Clark

In this paper, we present an efficient adaptive multigrid strategy for the geometry optimization of large-scale three dimensional molecular mechanics. The resulting method can achieve significantly reduced complexity by exploiting the…

Computational Physics · Physics 2022-08-30 Kejie Fu , Mingjie Liao , Yangshuai Wang , Jianjun Chen , Lei Zhang

Configuration-interaction-type calculations on electronic and vibrational structure are often the method of choice for the reliable approximation of many-particle wave functions and energies. The exponential scaling, however, limits their…

Computational Physics · Physics 2019-05-24 Alberto Baiardi , Christopher J. Stein , Vincenzo Barone , Markus Reiher

In this paper we present a new GPU-oriented mesh optimization method based on high-order finite elements. Our approach relies on node movement with fixed topology, through the Target-Matrix Optimization Paradigm (TMOP) and uses a global…

Mathematical Software · Computer Science 2022-12-28 Jean-Sylvain Camier , Veselin Dobrev , Patrick Knupp , Tzanio Kolev , Ketan Mittal , Robert Rieben , Vladimir Tomov

Discrete optimization is a central problem in artificial intelligence. The optimization of the aggregated cost of a network of cost functions arises in a variety of problems including (W)CSP, DCOP, as well as optimization in stochastic…

Artificial Intelligence · Computer Science 2018-01-12 Ferdinando Fioretto , Enrico Pontelli , William Yeoh , Rina Dechter

We present a numerical implementation of the density matrix renormalization group (DMRG) using the discrete variable representation (DVR) basis set. One main advantage of using the local DVR basis sets is that the computations of…

Quantum Physics · Physics 2024-11-13 Bing Gu

Atomistic quantum transport simulation of realistically large devices is computationally very demanding. The widely used mode space (MS) approach can significantly reduce the numerical cost but good MS basis is usually very hard to obtain…

Mesoscale and Nanoscale Physics · Physics 2018-01-30 Jun Z. Huang , Hesameddin Ilatikhameneh , Michael Povolotskyi , Gerhard Klimeck