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Sizing a residential microgrid efficiently requires solving a coupled design-and-operation problem: photovoltaic (PV) and battery capacities should be chosen in a way that reflects how the system will actually be dispatched over time. This…

Systems and Control · Electrical Eng. & Systems 2026-04-29 Mohamad Chehade , Sami Karaki

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

Variational optimization of orbitals in time-independent density functional calculations of excited electronic states presents a significant challenge, as excited states typically correspond to saddle points on the electronic energy…

Chemical Physics · Physics 2026-04-02 Yorick L. A. Schmerwitz , Elli Selenius , Gianluca Levi

Electronic-structure theory is a strong pillar of materials science. Many different computer codes that employ different approaches are used by the community to solve various scientific problems. Still, the precision of different packages…

We present first-principles calculations on bulk CdSe and CdSe nanowires with diameters of up to 22 \AA. Density functional linear combination of atomic orbitals and plane wave calculations of the electronic and structural properties are…

Materials Science · Physics 2009-06-04 M. Mohr , C. Thomsen

We present an all-electron, periodic {\GnWn} implementation within the numerical atomic orbital (NAO) basis framework. A localized variant of the resolution-of-the-identity (RI) approximation is employed to significantly reduce the…

Materials Science · Physics 2021-02-03 Xinguo Ren , Florian Merz , Hong Jiang , Yi Yao , Markus Rampp , Hermann Lederer , Volker Blum , Matthias Scheffler

We consider a direct optimization approach for ensemble density functional theory electronic structure calculations. The update operator for the electronic orbitals takes the structure of the Stiefel manifold into account and we present an…

Computational Physics · Physics 2012-07-11 K. Baarman , V. Havu , T. Eirola

In this paper the authors study a non-linear elliptic-parabolic system, which is motivated by mathematical models for lithium-ion batteries. One state satisfies a parabolic reaction diffusion equation and the other one an elliptic equation.…

Numerical Analysis · Mathematics 2023-08-02 Behzad Azmi , Andrea Petrocchi , Stefan Volkwein

Leveraging our structure-adaptive topology optimization framework based on the integration of the photonic density of states over a frequency window for the TM polarization of light [see A. Bahulikar et al., arXiv:2411.09165 (2025)], we…

A general method is presented for determining the maximum electric energy in a bounded region of optical fields with given time-averaged flux of electromagnetic energy. Time-harmonic fields are considered whose plane wave expansion consists…

Optics · Physics 2018-01-09 Jonas Teuwen , Paul Urbach

In this paper, it is presented a novel strategy to optimize the determination of magnetic couplings by using ab-initio calculations of the energy. This approach allows determining efficiently, in terms of a proposed effective magnetic spin…

Strongly Correlated Electrons · Physics 2020-09-04 J. M. Matera , C. A. Lamas , L. A. Errico , A. V. Gil Rebaza , V. I. Fernández

Optimization of large structures of multiple components is essential to many industries for minimizing mass, especially the design of aerospace vehicles. Optimizing a single primary load member independently of all other primary structures…

Numerical Analysis · Mathematics 2016-02-16 Alexander Lavin , Giovanni Greco , Kenjji Shimada

We develop a novel approach to enable the full-wave simulation of stimulated Brillouin scattering and related phenomena in a frequency-domain, finite-element environment. The method uses transformation optics techniques to implement a…

This paper advocates for an innovative approach designed for estimating optoelectronic properties of quantum structures utilizing Tight-Binding (TB) theory. Predicated on the comparative analysis between estimated and actual properties, the…

Quantum Physics · Physics 2024-08-30 Ali Haji Ebrahim Zargar , Ali Amini , Ahmad Ayatollahi

We develop a sampling scheme on the sphere that permits accurate computation of the spherical harmonic transform and its inverse for signals band-limited at $L$ using only $L^2$ samples. We obtain the optimal number of samples given by the…

Information Theory · Computer Science 2014-07-25 Zubair Khalid , Rodney A. Kennedy , Jason D. McEwen

We present a systematic study of the performance of numerical pseudo-atomic orbital basis sets in the calculation of dielectric matrices of extended systems using the self-consistent Sternheimer approach of [F. Giustino et al., Phys. Rev. B…

Materials Science · Physics 2015-06-04 Hannes Hübener , Miguel A. Pérez-Osorio , Pablo Ordejón , Feliciano Giustino

This short paper describes a numerical method for optimising the conservative confidence bound on the reliability of a system based on tests of its individual components. This is an alternative to the algorithmic approaches identified in…

Software Engineering · Computer Science 2022-02-01 Peter Bishop , Andrey Povyakalo

In electronic structure calculations the optimized effective potential (OEP) is a method that treats exchange interactions exactly using a local potential within density-functional theory (DFT). We present a method using density functional…

Materials Science · Physics 2013-01-24 Tom W. Hollins , Stewart J. Clark , Keith Refson , Nikitas I. Gidopoulos

We propose a method for obtaining effective lifetimes of scattering electronic states for avoiding the artificially confinement of the wave function due to the use of incomplete basis sets in time-dependent electronic-structure calculations…

Computational Physics · Physics 2017-08-02 Emanuele Coccia , Roland Assaraf , Eleonora Luppi , Julien Toulouse

We introduce a computational method for global optimization of structure and ordering in atomic systems. The method relies on interpolation between chemical elements, which is incorporated in a machine learning structural fingerprint. The…

Materials Science · Physics 2021-10-18 Sami Kaappa , Casper Larsen , Karsten Wedel Jacobsen