Results 31 to 40 of about 12,657 (289)

Taylor collocation method for systems of high-order linear differential–difference equations with variable coefficients

Ain Shams Engineering Journal, 2013
A Taylor collocation method has been developed to solve the systems of high-order linear differential–difference equations in terms of the Taylor polynomials.
Elçin Gökmen, Mehmet Sezer
doaj   +1 more source

A Q‐Learning Algorithm to Solve the Two‐Player Zero‐Sum Game Problem for Nonlinear Systems

International Journal of Adaptive Control and Signal Processing, Volume 39, Issue 3, Page 566-581, March 2025.
A Q‐learning algorithm to solve the two‐player zero‐sum game problem for nonlinear systems. ABSTRACT This paper deals with the two‐player zero‐sum game problem, which is a bounded L2$$ {L}_2 $$‐gain robust control problem. Finding an analytical solution to the complex Hamilton‐Jacobi‐Issacs (HJI) equation is a challenging task.
Afreen Islam, Anthony Siming Chen, Guido Herrmann   +2 more
wiley   +1 more source

A Legendre Wavelet Spectral Collocation Method for Solving Oscillatory Initial Value Problems

Journal of Applied Mathematics, 2013
In this paper, we propose an iterative spectral method for solving differential equations with initial values on large intervals. In the proposed method, we first extend the Legendre wavelet suitable for large intervals, and then the Legendre-Guass ...
A. Karimi Dizicheh, F. Ismail, M. Tavassoli Kajani, Mohammad Maleki   +3 more
doaj   +1 more source

Hopfield Neural Networks for Online Constrained Parameter Estimation With Time‐Varying Dynamics and Disturbances

International Journal of Adaptive Control and Signal Processing, EarlyView.
This paper proposes two projector‐based Hopfield neural network (HNN) estimators for online, constrained parameter estimation under time‐varying data, additive disturbances, and slowly drifting physical parameters. The first is a constraint‐aware HNN that enforces linear equalities and inequalities (via slack neurons) and continuously tracks the ...
Miguel Pedro Silva
wiley   +1 more source

Unprecedented Spin‐Lifetime of Itinerant Electrons in Natural Graphite Crystals

Advanced Functional Materials, EarlyView.
Graphite exhibits extraordinary spintronic potential, with electron spin lifetimes reaching 1,000 ns at room temperature ‐ over 100 times longer than graphene‐based devices. Magnetic resonance spectroscopy reveals strong anisotropy: out‐of‐plane spins live 50 times longer than their in‐plane counterparts.
Bence G. Márkus, Dávid Beke, Lili Vajtai, András Jánossy, László Forró, Ferenc Simon   +5 more
wiley   +1 more source

Vieta-Lucas operational matrix technique for fractional variable-order integro-differential equations [PDF]

Journal of Mahani Mathematical Research
The aim of this article is to find an effective method for solving variable-order fractional integro-differential equations. This method transforms the problem into a system of algebraic equations.
Mohsen Riahi Beni
doaj   +1 more source

Differential Equations and Algebraic Relations

Journal of Symbolic Computation, 1998
Let \(L\) be a Picard-Vessiot extension of \(F\), \(R\) be a ring of Picard-Vessiot elements of \(L\) over \(F\) and \(G= \text{Gal} (L/F)\). Suppose that \(R= F[y_1,\dots,y_n]= F[y]\), \(G(V)\subset V\), where \(V\) is a linear envelope of \(y\) over the constants of \(F\), and let \(I\) be a defining ideal of \(y\) in \(F[y]\). The author presents in
openaire   +1 more source

Spatiotemporally Resolved Orbital Hall Effect in a Topological Semimetal

Advanced Materials, EarlyView.
Real‐space mapping of orbital angular momentum (OAM) transport is achieved using contact‐free polarimetric terahertz spectroscopy. This principle is applied to the topological semimetal Td‐WTe2, revealing the spatial separation of electrons into two distinct regions characterized by opposite out‐of‐plane OAM (±Lz).
Byung Cheol Park, Taewoo Ha, Hojun Lee, Kyung Ik Sim, Insu Baek, Seok Joon Yun, Kyujoon Lee, Hyun‐Woo Lee, Young Hee Lee   +8 more
wiley   +1 more source

Observation of Topological Chirality Switching Induced Freezing of a Skyrmion Crystal

Advanced Materials, EarlyView.
Using Lorentz Transmission electron microscopy, it is shown that in the insulating van der Waals ferromagnet, CrBr3, a magnetic field can cause Bloch skyrmionic bubbles to spontaneously switch their chirality. As achiral type‐II bubbles are an intermediate state, the bubbles rapidly elongate and shrink when switching, thereby inducing a freezing of the
John Fullerton, Yue Li, Harshvardhan Solanki, Sergey Grebenchuk, Magdalena Grzeszczyk, Zhaolong Chen, Makars Šiškins, Kostya S. Novoselov, Maciej Koperski, Elton J. G. Santos, Charudatta Phatak   +10 more
wiley   +1 more source

Differential/Algebraic Equations As Stiff Ordinary Differential Equations

SIAM Journal on Numerical Analysis, 1992
To a system of differential algebraic equations: \[ \text{(DAE)}\quad y'(t)=f(t,y(t),z(t),0),\quad g(t,y(t),z(t),0)=0, \] a system of singularly perturbed ordinary differential equations: \[ \text{(ODE)}\quad y_ \varepsilon'(t)=f(t,y_ \varepsilon(t),z_ \varepsilon(t),\varepsilon), \varepsilon z_ \varepsilon'(t)=g(t,y_ \varepsilon(t),z_ \varepsilon(t ...
openaire   +3 more sources