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We propose a machine learning-driven optimisation framework for analog circuit design in this paper. The primary objective is to determine the device sizes for the optimal performance of analog circuits for a given set of specifications.…

Neural and Evolutionary Computing · Computer Science 2024-12-16 Ria Rashid , Komala Krishna , Clint Pazhayidam George , Nandakumar Nambath

The design of balanced ternary digital logic circuits based on memristors and conventional CMOS devices is proposed. First, balanced ternary minimum gate TMIN, maximum gate TMAX and ternary inverters are systematically designed and verified…

Signal Processing · Electrical Eng. & Systems 2023-09-06 Xiao-Yuan Wang , Jia-Wei Zhou , Chuan-Tao Dong , Xin-Hui Chen , Sanjoy Kumar Nandi , Robert G. Elliman , Sung-Mo Kang , Herbert Ho-Ching Iu

Analog matrix computing (AMC) circuits based on resistive random-access memory (RRAM) have shown strong potential for accelerating matrix operations. However, as matrix size grows, interconnect resistance increasingly degrades computational…

Emerging Technologies · Computer Science 2025-11-13 Mu Zhou , Junbin Long , Yubiao Luo , Zhong Sun

Implication logic gates that are based on volatile memristors are demonstrated experimentally with the use of relay-based volatile memristor emulators of an original design. The fabricated logic circuit involves two volatile memristors and…

Emerging Technologies · Computer Science 2019-09-18 Y. V. Pershin

Digital computers have been getting exponentially faster for decades, but huge challenges exist today. Transistor scaling, described by Moore's law, has been slowing down over the last few years, ending the era of fully predictable…

Emerging Technologies · Computer Science 2023-08-08 Adnan Mehonic , Dovydas Joksas

We propose an efficient approach for time integration of Klein-Gordon equations with highly oscillatory in time input terms. The new methods are highly accurate in the entire range, from slowly varying up to highly oscillatory regimes. Our…

Numerical Analysis · Mathematics 2023-05-23 Karolina Kropielnicka , Karolina Lademann , Katharina Schratz

The emerging analog matrix computing technology based on memristive crossbar array (MCA) constitutes a revolutionary new computational paradigm applicable to a wide range of domains. Despite the proven applicability of MCA for massive…

Signal Processing · Electrical Eng. & Systems 2025-03-24 Jia-Hui Bi , Shaoshi Yang , Ping Zhang , Sheng Chen

This paper deals with circulant matrices. It is shown that a circulant matrix can be multiplied by a vector in time O(n log(n)) in a ring with roots of unity without making use of an FFT algorithm. With our algorithm we achieve a speedup of…

Data Structures and Algorithms · Computer Science 2021-03-05 Andreas Rosowski

We suggest a numerical integration procedure for solving the equations of motion of certain classical spin systems which preserves the underlying symplectic structure of the phase space. Such symplectic integrators have been successfully…

Statistical Mechanics · Physics 2007-05-23 Robin Steinigeweg , Heinz-Jürgen Schmidt

The unprecedented advancement of artificial intelligence has placed immense demands on computing hardware, but traditional silicon-based semiconductor technologies are approaching their physical and economic limit, prompting the exploration…

Emerging Technologies · Computer Science 2025-01-23 Mingrui Jiang , Yichun Xu , Zefan Li , Can Li

Recently, it is shown that quantum computers can be used for obtaining certain information about the solution of a linear system Ax=b exponentially faster than what is possible with classical computation. Here we first review some key…

Quantum Physics · Physics 2015-05-30 Yudong Cao , Anmer Daskin , Steven Frankel , Sabre Kais

In this paper, by way of three examples - a fourth order low pass active RC filter, a rudimentary BJT amplifier, and an LC ladder - we show, how the algebraic capabilities of modern computer algebra systems can, or in the last example,…

Symbolic Computation · Computer Science 2011-01-04 Eberhard H. -A. Gerbracht

Images typically are represented as uniformly sampled data in the form of matrix of pixels/voxels. Therefore, matrix multiply-and-accumulate (MAC) forms the core of most state-of-the-art image analysis algorithms. While digital…

Emerging Technologies · Computer Science 2016-12-13 Imon Banerjee , Arindam Sanyal

Analog computing has been recently revived due to its potential for energy-efficient and highly parallel computations. In this two-part paper, we explore analog computers that linearly process microwave signals, named microwave linear…

Information Theory · Computer Science 2025-12-04 Matteo Nerini , Bruno Clerckx

Efficiently solving sparse linear algebraic equations is an important research topic of numerical simulation. Commonly used approaches include direct methods and iterative methods. Compared with the direct methods, the iterative methods…

Numerical Analysis · Mathematics 2023-10-11 Haifeng Zou , Xiaowen Xu , Chen-Song Zhang

Solving large, sparse linear systems is a fundamental workload in scientific computing and engineering simulations, often dominating runtime and energy consumption in high-performance computing (HPC) applications. In this work, we explore…

Computational Engineering, Finance, and Science · Computer Science 2026-04-30 Dan Gluck , Yotam Mimran , Andrey Karenskih , Talya Vaknin , Omri Wolf , Ruti Ben-Shlomi , Johannes Gebert

In power system dynamic simulation, up to 90% of the computational time is devoted to solve the network equations, i.e., a set of linear equations. Traditional approaches are based on sparse LU factorization, which is inherently sequential.…

Systems and Control · Electrical Eng. & Systems 2021-07-06 Lu Zhang , Bin Wang , Vivek Sarin , Weiping Shi , P. R. Kumar , Le Xie

Starting from a solution of the problem of a mechanical oscillator coupled to a scalar field inside a reflecting sphere of radius $R$, we study the behaviour of the system in free space as the limit of an arbitrarily large radius in the…

Atomic Physics · Physics 2008-11-26 N. P. Andion , A. P. C. Malbouisson , A. Mattos Neto

Circulant matrices are an important family of operators, which have a wide range of applications in science and engineering related fields. They are in general non-sparse and non-unitary. In this paper, we present efficient quantum circuits…

Quantum Physics · Physics 2016-12-12 S. S. Zhou , J. B. Wang

In this work we present an in-memory computing platform based on coupled VO2 oscillators fabricated in a crossbar configuration on silicon. Compared to existing platforms, the crossbar configuration promises significant improvements in…

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