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The correct calculation of formation enthalpy is one of the enablers of ab-initio computational materials design. For several classes of systems (e.g. oxides) standard density functional theory produces incorrect values. Here we propose the…

Any CNF formula can be decomposed two blocked subsets such that both can be solved by BCE (Blocked Clause Elimination). To make the decomposition more useful, one hopes to have the decomposition as unbalanced as possible. It is often time…

Logic in Computer Science · Computer Science 2015-12-22 Jingchao Chen

The solvation free energy of organic molecules is a critical parameter in determining emergent properties such as solubility, liquid-phase equilibrium constants, and pKa and redox potentials in an organic redox flow battery. In this work,…

Computational Engineering, Finance, and Science · Computer Science 2021-11-24 Peiyuan Gao , Xiu Yang , Yu-Hang Tang , Muqing Zheng , Amity Anderson , Vijayakumar Murugesan , Aaron Hollas , Wei Wang

Free-energy differences between pairs of end-states can be estimated based on molecular dynamics (MD) simulations using standard pathway-dependent methods such as thermodynamic integration (TI), free-energy perturbation, or Bennett's…

We describe an all-electron implementation of the Bethe-Salpeter equation (BSE) for the calculation of optical absorption spectra in the full-potential linearized augmented-plane-wave (FLAPW) method. So far, FLAPW implementations have…

Materials Science · Physics 2026-03-27 Jörn Stöhler , Stefan Blügel , Christoph Friedrich

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…

Statistical Mechanics · Physics 2012-05-01 Volodymyr P. Sergiievskyi

Computational high-throughput studies, especially in research on high-entropy materials and catalysts, are hampered by high-dimensional composition spaces and myriad structural microstates. They present bottlenecks to the conventional use…

Materials Science · Physics 2024-03-18 Christian M. Clausen , Jan Rossmeisl , Zachary W. Ulissi

It is well known that closed-form analytical solutions for AC power flow equations do not exist in general. This paper proposes a multi-dimensional holomorphic embedding method (MDHEM) to obtain an explicit approximate analytical AC…

Systems and Control · Computer Science 2019-03-26 Chengxi Liu , Bin Wang , Xin Xu , Kai Sun , Claus Leth Bak

We introduce the Deep Post-Hartree-Fock (DeePHF) method, a machine learning based scheme for constructing accurate and transferable models for the ground-state energy of electronic structure problems. DeePHF predicts the energy difference…

Chemical Physics · Physics 2020-08-11 Yixiao Chen , Linfeng Zhang , Han Wang , Weinan E

Accurate prediction of lithium-ion battery lifespan is vital for ensuring operational reliability and reducing maintenance costs in applications like electric vehicles and smart grids. This study presents a hybrid learning framework for…

Machine Learning · Computer Science 2025-04-28 He Shanxuan , Lin Zuhong , Yu Bolun , Gao Xu , Long Biao , Yao Jingjing

We analyze the mathematically rigorous BIBEE (boundary-integral based electrostatics estimation) approximation of the mixed-dielectric continuum model of molecular electrostatics, using the analytically solvable case of a spherical solute…

Computational Engineering, Finance, and Science · Computer Science 2015-05-30 Jaydeep P. Bardhan , Matthew G. Knepley

Accurate thermochemical data with sub-chemical accuracy (within 1 kcal mol$^{-1}$ of the empirical ground truth) are essential for advancing computational chemistry methods. However, existing datasets that reach this level of accuracy…

Ensemble calculations are essential for systems with uncertain data but require substantial increase in computational resources. This increase severely limits ensemble size. To reach beyond current limits, we present a first-order…

Numerical Analysis · Mathematics 2017-12-19 Joseph A. Fiordilino , Michael McLaughlin

Active learning (AL) has emerged as a powerful paradigm for accelerating materials discovery by iteratively steering experiments toward promising candidates, reducing the number of costly synthesis-and-characterization cycles needed to…

Materials Science · Physics 2026-03-25 Jeffrey Hu , Rongzhi Dong , Ying Feng , Ming Hu , Jianjun Hu

The solvation free energy (SFE) of molecules and ions is a fundamental property governing their solvation behavior and solubility. Molecular simulations offer a route to compute SFEs using alchemical free energy methods, such as…

Chemical Physics · Physics 2026-04-21 Junting Yu , Shuo-Hui Li , Ding Pan

In this article, we present an interpolative separable density fitting (ISDF) based algorithm to calculate exact exchange in periodic mean field calculations. In the past, decomposing the two-electron integrals into tensor hypercontraction…

Chemical Physics · Physics 2024-04-16 Kori E. Smyser , Alec White , Sandeep Sharma

We generalize the family of approximate momentum average methods to formulate a numerically exact, convergent hierarchy of equations whose solution provides an efficient algorithm to compute the Green's function of a particle dressed by…

Strongly Correlated Electrons · Physics 2021-08-05 Matthew R. Carbone , David R. Reichman , John Sous

We present an efficient way to solve the Bethe-Salpeter equation (BSE), a model for the computation of absorption spectra in molecules and solids that includes electron-hole excitations. Standard approaches to construct and diagonalize the…

Computational Physics · Physics 2018-02-01 Wei Hu , Meiyue Shao , Andrea Cepellotti , Felipe H. da Jornada , Lin Lin , Kyle Thicke , Chao Yang , Steven G. Louie

In this work, we generalize the Balasubramanian-Bax-Franklin-Glynn (BB/FG) permanent formula to account for row multiplicities during the permanent evaluation and reduce the complexity of permanent evaluation in scenarios where such…

Residential homes constitute roughly one-fourth of the total energy usage worldwide. Providing appliance-level energy breakdown has been shown to induce positive behavioral changes that can reduce energy consumption by 15%. Existing…

Machine Learning · Computer Science 2019-09-15 Yiling Jia , Nipun Batra , Hongning Wang , Kamin Whitehouse