Hannah Cairo found herself stuck on a problem that wouldn’t leave her mind. It wasn’t a regular homework assignment—it was a decades-old mathematical puzzle believed to be true by leading experts in ...

We present an efficient nonconformal-mesh discontinuous Galerkin (DG) method for elastic wave propagation in viscous media. To include the attenuation and dispersion due to the quality factor in time ...

Sculpt a chiseled core with 3 bodyweight moves! Hollow body hold, L-sit, and windshield wipers deliver visible results—no gym needed.

Recently, variational and partial differential equation (PDE)-based algorithms have become very important for image restoration. In this study, we propose a new second order hyperbolic PDE model based ...

Quantum mechanics has a reputation that precedes it. Virtually everyone who has bumped up against the quantum realm, whether ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

We study the classical linear partial differential equations: Poisson's equation and the heat equation. We learn about representation formulas for solutions, maximum principles, and energy estimates.

K. S. Miller and B. Ross , An Introduction to the Fractional Calculus and Fractional Differential Equations ( John Wiley and Sons , New York , 1993 ) . Google Scholar M. Weilbeer , Efficient Numerical ...

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