Results 91 to 100 of about 8,500 (257)

First order linear ordinary differential equations in associative algebras

Electronic Journal of Differential Equations, 2004
In this paper, we study the linear differential equation $$ frac{dx}{dt}=sum_{i=1}^n a_i(t) x b_i(t) + f(t) $$ in an associative but non-commutative algebra $mathcal{A}$, where the $b_i(t)$ form a set of commuting $mathcal{A}$-valued functions expressed ...
Gordon Erlebacher, Garrret E. Sobczyk
doaj  

Quantum Iterative Methods for Solving Differential Equations with Application to Computational Fluid Dynamics

Advanced Quantum Technologies, EarlyView.
Quantum algorithms for differential equations are developed with applications in computational fluid dynamics. The methods follow an iterative simulation framework, implementing Jacobi and Gauss–Seidel schemes on quantum registers through linear combinations of unitaries.
Chelsea A. Williams, Antonio A. Gentile, Vincent E. Elfving, Daniel Berger, Oleksandr Kyriienko   +4 more
wiley   +1 more source

Teaching Linear Algebra to Engineering Students in Two Different Educational Settings:

Nordic Journal of STEM Education
The present paper holds a twofold perspective on a new teaching format in a linear algebra course given to engineering students. The design resembles the flipped classroom, but with various adjustments.
Ragnhild Johanne Rensaa
doaj  

Entanglement Swapping for Partially Entangled Qudits and the Role of Quantum Complementarity

Advanced Quantum Technologies, EarlyView.
The entanglement swapping protocol is extended to partially entangled qudit states and analyzed through complete complementarity relations. Analytical bounds on the average distributed entanglement are established, showing how the initial local predictability and entanglement constrain the operational distribution.
Diego S. Starke, Marcos L. W. Basso, Lucas C. Céleri, Jonas Maziero   +3 more
wiley   +1 more source

A novel linear algebra-based method for complex interval linear systems in circuit analysis

Heliyon
In this paper, systems of multivariate interval linear equations with complex interval coefficients are examined, and a novel linear algebra-based approach for locating all of their solutions is proposed.
Maryam Farahmand Nejad, Hamed Farahani, Rahele Nuraei   +2 more
doaj   +1 more source

Digital Twin Simulations Toolbox of the Nitrogen‐Vacancy Center in Diamond

Advanced Quantum Technologies, EarlyView.
The Nitrogen‐vacancy (NV) center in diamond is a key platform within quantum technologies. This work introduces a Python based digital‐twin of the NV, where the spin dynamics of the system is simulated without relying on commonly used approximations, such as the adoption of rotating frame. The digital‐twin is validated through three different examples,
Lucas Tsunaki, Anmol Singh, Sergei Trofimov, Boris Naydenov   +3 more
wiley   +1 more source

Robust Control Design and Analysis Based on Lifting Linearization of Nonlinear Systems Under Uncertain Initial Conditions

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT This paper presents a robust control synthesis and analysis framework for nonlinear systems with uncertain initial conditions. First, a deep learning‐based lifting approach is proposed to approximate nonlinear dynamical systems with linear parameter‐varying (LPV) state‐space models in higher‐dimensional spaces while simultaneously ...
Sourav Sinha, Mazen Farhood
wiley   +1 more source

The role of identification in data‐driven policy iteration: A system theoretic study

International Journal of Robust and Nonlinear Control, EarlyView.
Abstract The goal of this article is to study fundamental mechanisms behind so‐called indirect and direct data‐driven control for unknown systems. Specifically, we consider policy iteration applied to the linear quadratic regulator problem. Two iterative procedures, where data collected from the system are repeatedly used to compute new estimates of ...
Bowen Song, Andrea Iannelli
wiley   +1 more source

Accuracy and applicability of periodontitis risk assessment tools: A critical appraisal

Periodontology 2000, EarlyView., 2023
Abstract Currently, periodontal risk assessment finds application at first visit (to identify individuals at high risk of either disease incidence, if still healthy, or disease progression, if already diseased) as well as at patient monitoring after active treatment and enrolment in a supportive periodontal care program.
Roberto Farina, Rodrigo Lopez, Anna Simonelli, Leonardo Trombelli   +3 more
wiley   +1 more source

Eigenvalue systems for integer orthogonal bases of multi-matrix invariants at finite N

Journal of High Energy Physics
Multi-matrix invariants, and in particular the scalar multi-trace operators of N $$ \mathcal{N} $$ = 4 SYM with U(N) gauge symmetry, can be described using permutation centraliser algebras (PCA), which are generalisations of the symmetric group algebras ...
Adrian Padellaro, Sanjaye Ramgoolam, Ryo Suzuki   +2 more
doaj   +1 more source