Bringing complex field physics to the tabletop: A photonic stage for non-Abelian gauge fields

For most theories in physics, the order of operations has little impact on the result. When setting a dial to a certain ...
Hacker

NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia

Abstract. Efficiently solving nonlinear equations underpins numerous scientific and engineering disciplines, yet scaling these solutions for complex system models remains a challenge. This paper ...
IEEE

Mixed Fuzzy Intermittent Control for Nonlinear ODE-PDE Coupled Systems

Abstract: A mixed fuzzy intermittent control method based on boundary control under boundary measurement and distributed control under spatial local averaged measurements (SLAMs) is introduced for ...
IEEE

Nussbaum-Based Adaptive Neural Networks Tracking Control for Nonlinear PDE-ODE Systems Subject to Deception Attacks

Abstract: In this article, the novel adaptive neural networks (NNs) tracking control scheme is presented for nonlinear partial differential equation (PDE)-ordinary differential equation (ODE) coupled ...
Machine Design

What’s The Difference Between FEM, FDM and FVM?

What Are FEM, FDM and FVM? FEM, FDM and FVM differ from one another in important ways. Understanding these distinctions is key to selecting the method most appropriate for your purposes. The ...
Frontiers

Basic Control Theory for Linear Fractional Differential Equations With Constant Coefficients

In this paper we present an analogous result of the famous Kalman controllability criterion for first order linear ordinary differential equations with constant coefficients that applies to the case ...
Frontiers

Emergent Spaces for Coupled Oscillators

Systems of coupled dynamical units (e.g., oscillators or neurons) are known to exhibit complex, emergent behaviors that may be simplified through coarse-graining: a process in which one discovers ...
Scientific Research Publishing

Numerical Study of One Dimensional Fishers KPP Equation with Finite Difference Schemes ()

In this paper, we originate results with finite difference schemes to approximate the solution of the classical Fisher Kolmogorov Petrovsky Piscounov (KPP) equation from population dynamics. Fisher’s ...
Scientific Research Publishing

Sinc-Collocation Method for Solving Linear and Nonlinear System of Second-Order Boundary Value Problems

Sinc methods are now recognized as an efficient numerical method for problems whose solutions may have singularities, or infinite domains, or boundary layers. This work deals with the sinc-collocation ...