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In this article, we combine the periodic sinc basis set with a curvilinear coordinate system for electronic structure calculations. This extension allows for variable resolution across the computational domain, with higher resolution close…

Computational Physics · Physics 2024-07-09 Michael Lindsey , Sandeep Sharma

We develop a new approach for construction of convex analytically simple regions where the AC power flow equations are guaranteed to have a feasible solutions. Construction of these regions is based on efficient semidefinite programming…

Systems and Control · Computer Science 2015-07-14 Krishnamurthy Dvijotham , Konstantin Turitsyn

Assuming a banded structure is one of the common practice in the estimation of high-dimensional precision matrix. In this case, estimating the bandwidth of the precision matrix is a crucial initial step for subsequent analysis. Although…

Methodology · Statistics 2018-10-29 Kyoungjae Lee , Lizhen Lin

Diagonalization of a large matrix is the computational bottleneck in many applications such as electronic structure calculations. We show that a speedup of over 30% can be achieved by exploiting 32-bit floating point operations, while…

Computational Physics · Physics 2011-08-24 Eiji Tsuchida , Yoong-Kee Choe

Traditional materials discovery approaches - relying primarily on laborious experiments - have controlled the pace of technology. Instead, computational approaches offer an accelerated path: high-throughput exploration and characterization…

Materials Science · Physics 2018-11-23 Corey Oses

This paper introduces an efficient design approach for a fast-convolution-based variable-bandwidth (VBW) filter. The proposed approach is based on a hybrid of frequency sampling and optimization (HFSO), that offers significant computational…

Signal Processing · Electrical Eng. & Systems 2025-03-20 Oksana Moryakova , Håkan Johansson

We present a new way to construct analytical solutions for flow in complex microfluidic channel networks, as well as planar disordered media. Using a combination of Schwarz-Christoffel maps and segmentation techniques inspired by integrated…

Fluid Dynamics · Physics 2026-03-24 Etienne Boulais , Richard D. Braatz

Spectrum sensing and analysis is crucial for a variety of reasons, including regulatory compliance, interference detection and mitigation, and spectrum resource planning and optimization. Effective, real-time spectrum analysis remains a…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Rahil Gandotra , Ruoyu Sun , Mark Poletti , Jiayu Mao , Hao Guo

Over-the-air computation (AirComp) has traditionally been built on the principle of pre-embedding computation into transmitted waveforms or on exploiting massive antenna arrays, often requiring the wireless multiple-access channel (MAC) to…

Information Theory · Computer Science 2026-04-07 Seyed Mohammad Azimi-Abarghouyi

Numerical simulations can help solve complex problems. Most of these algorithms are massively parallel and thus good candidates for FPGA acceleration thanks to spatial parallelism. Modern FPGA devices can leverage high-bandwidth memory…

Hardware Architecture · Computer Science 2022-11-09 Stephanie Soldavini , Karl F. A. Friebel , Mattia Tibaldi , Gerald Hempel , Jeronimo Castrillon , Christian Pilato

Band structure unfolding is a key technique for analyzing and simplifying the electronic band structure of large, internally distorted supercells that break the primitive cell's translational symmetry. In this work, we present an efficient…

Materials Science · Physics 2026-02-10 Jingkai Quan , Nikita Rybin , Matthias Scheffler , Christian Carbogno

We have developed a set of techniques for performing large scale ab initio calculations using multigrid accelerations and a real-space grid as a basis. The multigrid methods permit efficient calculations on ill-conditioned systems with long…

mtrl-th · Physics 2009-10-28 E. L. Briggs , D. J. Sullivan , J. Bernholc

Wireless baseband processing (WBP) is a key element of wireless communications, with a series of signal processing modules to improve data throughput and counter channel fading. Conventional hardware solutions, such as digital signal…

Hardware Architecture · Computer Science 2025-06-23 Limin Jiang , Yi Shi , Yintao Liu , Qingyu Deng , Siyi Xu , Yihao Shen , Fangfang Ye , Shan Cao , Zhiyuan Jiang

We consider the calculation of the band structure of frequency dependent photonic crystals. The associated eigenvalue problem is nonlinear and it is challenging to develop effective convergent numerical methods. In this paper, the band…

Numerical Analysis · Mathematics 2020-07-23 Wenqiang Xiao , Bo Gong , Jiguang Sun , Zhimin Zhang

Density functional theory within the local or semilocal density approximations (DFT-LDA/GGA) has become a workhorse in electronic structure theory of solids, being extremely fast and reliable for energetics and structural properties, yet…

High-throughput materials synthesis methods have risen in popularity due to their potential to accelerate the design and discovery of novel functional materials, such as solution-processed semiconductors. After synthesis, key material…

Image and Video Processing · Electrical Eng. & Systems 2024-06-17 Alexander E. Siemenn , Eunice Aissi , Fang Sheng , Armi Tiihonen , Hamide Kavak , Basita Das , Tonio Buonassisi

Proof autoformalization, the task of translating natural language theorems and proofs into machine-verifiable code, is a critical step for integrating large language models into rigorous mathematical workflows. Current approaches focus on…

Artificial Intelligence · Computer Science 2025-10-21 Rafael Cabral , Tuan Manh Do , Xuejun Yu , Wai Ming Tai , Zijin Feng , Xin Shen

The pursuit of high-performance data transfer often focuses on raw network bandwidth. International links of 100 Gbps or higher are frequently considered the primary enabler. While necessary, this network-centric view is incomplete. It…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-27 Chin Fang , Timothy Stitt , Michael J. McManus , Toshio Moriya

We present an approach to solid-state electronic-structure calculations based on the finite-element method. In this method, the basis functions are strictly local, piecewise polynomials. Because the basis is composed of polynomials, the…

Condensed Matter · Physics 2009-10-31 J. E. Pask , B. M. Klein , C. Y. Fong , P. A. Sterne

Frequency-encoded quantum information offers intriguing opportunities for quantum communications and networking, with the quantum frequency processor paradigm -- based on electro-optic phase modulators and Fourier-transform pulse shapers --…