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

The problem of singularity formation of the 3D incompressible Euler equations with smooth initial data has remained open since Leonhard Euler introduced the equations in 1757. Beyond its importance in ...

Julius AI is a cutting-edge math tutor designed to help students and professionals tackle math problems with ease. Known for its advanced computational capabilities, Julius has garnered the trust of ...

A numerical method is described for the solution of the electromagnetic fields within an arbitrary dielectric scatterer of the order of one wavelength in diameter. The method treats the irradiation of ...

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