Solver for coupled nonlinear partial differential equations (elliptic-parabolic conservation laws) based on the Voronoi finite volume method. It uses automatic differentiation via ForwardDiff.jl and ...

Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

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Researchers have made a breakthrough in the ability to solve engineering problems. In a new paper published in Nature entitled, “A scalable framework for learning the geometry-dependent solution ...

The NFC North is clearly as dominant as the combined records of the four teams suggests. Not only does it boast the only team with a positive triple-digit differential in the Detroit Lions, it's also ...

Learn how to classify PDEs,and apply and visualize characteristic and finite difference solution methods. You can use these live scripts as demonstrations in lectures, class activities, or interactive ...

Have you ever wondered how complex phenomena like fluid flows, heat transfer, or even the formation of patterns in nature can be described mathematically? The answer lies in partial differential ...

In various physics and engineering applications, evaluating the properties of partial differential equations (PDEs) is essential. Traditionally, this is done using resource-intensive, high-fidelity ...