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Different possible sources are discussed for enhancement of the calculation time when solving ordinary differential equations systems to forecast space objects' motion. This paper presents an approach for building an integrator of ordinary…

Space Physics · Physics 2010-03-02 Atanas Marinov Atanassov

As quantum computing advances, the complexity of quantum circuits is rapidly increasing, driving the need for robust methods to aid in their design. Equivalence checking plays a vital role in identifying errors that may arise during…

Quantum Physics · Physics 2025-06-02 Aaron Sander , Lukas Burgholzer , Robert Wille

In this paper, we propose a parallel optimization method for electronic structure calculations based on a single orbital-updating approximation. It is shown by our numerical experiments that the method is efficient and reliable for atomic…

Numerical Analysis · Mathematics 2015-11-20 Xiaoying Dai , Zhuang Liu , Xin Zhang , Aihui Zhou

This contributions discusses the simulation of magnetothermal effects in superconducting magnets as used in particle accelerators. An iterative coupling scheme using reduced order models between a magnetothermal partial differential model…

Computational Engineering, Finance, and Science · Computer Science 2017-11-01 Sebastian Schöps , Idoia Cortes Garcia , Michał Maciejewski , Bernhard Auchmann

A new approach to designing FSS-based LP-CP converters is presented. It is based on the use of FSSs which exhibit dual diagonal symmetry, and a novel 4-port equivalent circuit able to describe the electrical behavior of the cells for the…

Applied Physics · Physics 2024-02-09 G. Perez-Palomino , J. E. Page , M. Arrebola , J. A. Encinar

In some applications there arises the need of a spatially distributed description of a physical quantity inside a device coupled to a circuit. Then, the in-space discretised system of partial differential equations is coupled to the system…

Numerical Analysis · Mathematics 2019-04-09 Idoia Cortes Garcia , Herbert De Gersem , Sebastian Schöps

This paper presents an efficient equivalent circuit approach (ECA), based on a Floquet modal expansion, for the study of the co- and cross-polarization in frequency selective surfaces (FSS) formed by periodic arrays of patches/apertures in…

We describe a general approach for computing generators for elimination ideals associated with matrix and hypermatrix spectral decomposition constraints. We derive from these generators iterative procedures for approximating the spectral…

Spectral Theory · Mathematics 2015-03-24 Edinah K. Gnang

With the exponentially faster computation for certain problems, quantum computing has garnered significant attention in recent years. Variational quantum algorithms are crucial methods to implement quantum computing, and an appropriate…

Quantum Physics · Physics 2025-11-18 Fei Zhang , Jie Li , Zhimin He , Haozhen Situ

This paper introduces a process framework for debugging quantum circuits, focusing on three distinct types of circuit blocks: Amplitude Permutation, Phase Modulation, and Amplitude Redistribution circuit blocks. Our research addresses the…

Quantum Physics · Physics 2024-03-08 Sara Ayman Metwalli , Rodney Van Meter

The constant phase element (CPE) with a frequency-independent negative phase between current and voltage is used extensively in e.g. the bioimpedance and electrochemistry fields. Its physical meaning is only partially understood. Here we…

Applied Physics · Physics 2021-03-30 Sverre Holm , Thomas Holm , Ørjan Grøttem Martinsen

We study Boolean circuits as a representation of Boolean functions and consider different equivalence, audit, and enumeration problems. For a number of restricted sets of gate types (bases) we obtain efficient algorithms, while for all…

Computational Complexity · Computer Science 2015-07-01 Elmar Böhler , Nadia Creignou , Matthias Galota , Steffen Reith , Henning Schnoor , Heribert Vollmer

This article presents a simple port-Hamiltonian formulation of the equations for an RLC electric circuit as a differential-algebraic equation system, and a proof that structural analysis always succeeds on it for a well-posed circuit, thus…

Numerical Analysis · Mathematics 2020-06-09 John D. Pryce

The effective and reliable operation of particle accelerator machines is strongly related to obtaining and keeping the required ultra-high vacuum level. This paper briefly presents some generic requirements to take in consideration for…

Accelerator Physics · Physics 2020-06-19 G. Bregliozzi

In electromagnetic simulations of magnets and machines one is often interested in a highly accurate and local evaluation of the magnetic field uniformity. Based on local post-processing of the solution, a defect correction scheme is…

Numerical Analysis · Mathematics 2017-02-09 Ulrich Römer , Sebastian Schöps , Herbert De Gersem

The class of memory circuit elements which comprises memristive, memcapacitive, and meminductive systems, is gaining considerable attention in a broad range of disciplines. This is due to the enormous flexibility these elements provide in…

Instrumentation and Detectors · Physics 2012-07-04 Y. V. Pershin , M. Di Ventra

The problem of evaluating potential integrals on planar triangular elements has been addressed using a polar coordinate decomposition. The resulting formulae are general, exact, easily implemented, and have only one special case, that of a…

Numerical Analysis · Mathematics 2013-03-01 Michael Carley

We propose a self-consistent simulation model for particle beams in accelerators, which includes the impact of electromagnetic wakefields caused by the geometry of the accelerator chamber. The method is based on a scattered-field…

Computational Physics · Physics 2026-03-13 J. Christ , E. Gjonaj , H. De Gersem

This paper describes an electric circuit lab exercise that offers various ways of comparing the equivalent electrical resistance of three-resistor circuits. It requires the use of two multi-meters, a power supply, cables and connectors, an…

Physics Education · Physics 2014-07-29 Kyle Rogers , Luciano Fleischfresser

This paper presents a simplified implementation of the arc-length method for computing the equilibrium paths of nonlinear structural mechanics problems using the finite element method. In the proposed technique, the predictor is computed by…

Computational Engineering, Finance, and Science · Computer Science 2020-12-21 Chennakesava Kadapa