Japanese mathematician Masaki Kashiwara wins Abel Prize for contributions to algebraic analysis and representation theory at 78.

dimsym: Geometric and algebraic techniques for differential equations (with modelling applications); Symmetry Determination and Linear Differential Equation Package ...

The General Linear Hypothesis (GLH) is a framework in statistics for testing hypotheses about linear relationships among variables. It extends the concept of simple linear regression to more complex ...

Structural mechanics is commonly modeled by (systems of) partial differential equations (PDEs). Except for very simple cases where analytical solutions exist, the use of numerical methods is required ...

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Abstract: We present a method for the stability analysis of a large class of linear partial differential equations (PDEs) in one spatial dimension. We rely on Lyapunov analysis to establish the ...

Abstract: This brief considers the global exponential stability of impulsive delayed linear differential equations. By utilizing the Lyapunov function methods combined with the Razumikhin technique, ...

Physics-Informed Neural Networks (PINN) are neural networks encoding the problem governing equations, such as Partial Differential Equations (PDE), as a part of the neural network. PINNs have emerged ...

In this paper, the numerical solution of the boundary value problem that is two-order fuzzy linear differential equations is discussed. Based on the generalized Hukuhara difference, the fuzzy ...