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This paper is concerned about the implicit-explicit (IMEX) methods for a class of dissipative wave systems with time-varying velocity feedbacks and nonlinear potential energies, equipped with different boundary conditions. Firstly, we…

Numerical Analysis · Mathematics 2024-10-29 Zhe Jiao , Yaxu Li , Lijing Zhao

Single-electron transistors (SETs) have been extensively used as charge sensors in many areas such as quantum computations. In general, the signals of SETs are smaller than those of complementary metal-oxide semiconductor (CMOS) devices,…

Mesoscale and Nanoscale Physics · Physics 2021-11-10 Tetsufumi Tanamoto , Keiji Ono

In this work, we are interested in solving large linear systems stemming from the Extra-Membrane-Intra (EMI) model, which is employed for simulating excitable tissues at a cellular scale. After setting the related systems of partial…

Numerical Analysis · Mathematics 2023-08-24 Pietro Benedusi , Paola Ferrari , Marie Rognes , Stefano Serra-Capizzano

In engineering, it is a common desire to couple existing simulation tools together into one big system by passing information from subsystems as parameters into the subsystems under influence. As executed at fixed time points, this data…

Numerical Analysis · Mathematics 2017-04-25 Thilo Moshagen

We show that, even for extremely stiff systems, explicit integration may compete in both accuracy and speed with implicit methods if algebraic methods are used to stabilize the numerical integration. The required stabilizing algebra depends…

Solar and Stellar Astrophysics · Physics 2016-08-01 M. W. Guidry , R. Budiardja , E. Feger , J. J. Billings , W. R. Hix , O. E. B. Messer , K. J. Roche , E. McMahon , M. He

We introduce a novel method for strong classical simulation of quantum circuits based on optimally k-partitioning ZX-diagrams, reducing each part individually, and then efficiently cross-referencing their results to conclude the overall…

Quantum Physics · Physics 2024-09-04 Matthew Sutcliffe

Transistor-level simulation plays a vital role in validating the physical correctness of integrated circuits. However, such simulations are computationally expensive. This paper proposes three novel reduction methods specifically tailored…

Hardware Architecture · Computer Science 2025-08-20 Ruibai Tang , Wenlai Zhao

We present the first-order coherent exclusive exponentiation (CEEX) scheme, with the full control over spin polarization for all fermions. In particular it is applicable to difficult case of narrow resonances. The resulting spin amplitudes…

High Energy Physics - Phenomenology · Physics 2009-10-31 S. Jadach , B. F. L. Ward , Z. Was

In this work we develop a simple equivalent circuit model (ECM) that predicts the spectral response of a lumped-element loaded single patterned layer reflective metasurface. The proposed ECM maintains accuracy across varying design…

The time domain analysis of eddy current problems often requires the simulation of long time intervals, e.g. until a steady state is reached. Fast-switching excitations e.g. in pulsedwidth modulated signals require in addition very small…

Numerical Analysis · Mathematics 2021-01-05 Idoia Cortes Garcia , Iryna Kulchytska-Ruchka , Markus Clemens , Sebastian Schöps

The full-wave simulation of complex electromagnetic surfaces such as reflectarrays and metasurfaces is a challenging problem. In this paper, we present a macromodeling approach to efficiently simulate complex electromagnetic surfaces…

Computational Engineering, Finance, and Science · Computer Science 2020-12-02 Utkarsh R. Patel , Piero Triverio , Sean V. Hum

Compute Express Link (CXL) serves as a rising industry standard, delivering high-speed cache-coherent links to a variety of devices, including host CPUs, computational accelerators, and memory devices. It is designed to promote system…

Hardware Architecture · Computer Science 2024-11-14 Yuda An , Shushu Yi , Bo Mao , Qiao Li , Mingzhe Zhang , Ke Zhou , Nong Xiao , Guangyu Sun , Xiaolin Wang , Yingwei Luo , Jie Zhang

Replica Exchange (RE) simulations have emerged as an important algorithmic tool for the molecular sciences. RE simulations involve the concurrent execution of independent simulations which infrequently interact and exchange information. The…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-01-22 Antons Treikalis , Andre Merzky , Haoyuan Chen , Tai-Sung Lee , Darrin M. York , Shantenu Jha

We propose second-order implicit-explicit (IMEX) time-stepping schemes for nonlinear fractional differential equations with fractional order $0<\beta<1$. From the known structure of the non-smooth solution and by introducing corresponding…

Numerical Analysis · Mathematics 2016-08-03 Wanrong Cao , Fanhai Zeng , Zhongqiang Zhang , George Em Karniadakis

We present an implicit-explicit (IMEX) scheme for semilinear wave equations with strong damping. By treating the nonlinear, nonstiff term explicitly and the linear, stiff part implicitly, we obtain a method which is not only unconditionally…

Numerical Analysis · Mathematics 2024-07-01 Daniel Eckhardt , Marlis Hochbruck , Barbara Verfürth

This paper introduces an efficient and generic framework for finite-element simulations under an implicit time integration scheme. Being compatible with generic constitutive models, a fast matrix assembly method exploits the fact that…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-12 Ziqiu Zeng , Hadrien Courtecuisse

This paper explains a unified approach for teaching the electrical model of power transformers to undergraduate students using magnetic circuits. The commonly used approach for explaining the electrical model of power transformers is a…

Physics Education · Physics 2021-04-01 Saeed Lotfifard

Traditional state estimation (SE) methods that are based on nonlinear minimization of the sum of localized measurement error functionals are known to suffer from non-convergence and large residual errors. In this paper we propose an…

Systems and Control · Electrical Eng. & Systems 2020-09-01 Shimiao Li , Amritanshu Pandey , Soummya Kar , Larry Pileggi

Numerically solving ordinary differential equations (ODEs) is a naturally serial process and as a result the vast majority of ODE solver software are serial. In this manuscript we developed a set of parallelized ODE solvers using…

Numerical Analysis · Mathematics 2022-09-13 Utkarsh , Chris Elrod , Yingbo Ma , Christopher Rackauckas

Research has shown that both high school and university students' reasoning patterns regarding direct current resistive electric circuits often differ from the currently accepted explanations. At present, there are no standard diagnostic…

Physics Education · Physics 2009-11-10 Paula V. Engelhardt , Robert J. Beichner