Nearly 200 years ago, the physicists Claude-Louis Navier and George Gabriel Stokes put the finishing touches on a set of equations that describe how fluids swirl. And for nearly 200 years, the ...
Abstract: Since subsurface structures are often anisotropic, conventional anisotropic acoustic wave-equation depth migration methods are generally limited to one-way wave equations. In contrast, ...
When the greatest mathematician alive unveils a vision for the next century of research, the math world takes note. That’s exactly what happened in 1900 at the International Congress of Mathematicians ...
Abstract: This study focuses on employing sliding mode observer for a wave equation subject to two dynamic boundary conditions with anti-damping coefficients, a perturbation, and a control at one of ...
ABSTRACT: In previous papers, we proposed the important Z transformations and obtained general solutions to a large number of linear and quasi-linear partial differential equations for the first time.
Description: I am implementing a Physics-Informed Neural Network (PINN) to solve the 1D wave equation and trying to compare the PINN’s predictions to the exact solution. However, I am unsure if the ...
Description: I am working on implementing a Physics-Informed Neural Network (PINN) in PyTorch to solve the 1D acoustic wave equation. My goal is to train the PINN to approximate the solution of the ...
While much of our planet’s air and seas are stirred at a tempest’s whim, some features are far more regular. At the equator, thousand-kilometer-long waves persist amid the chaos. In both the ocean and ...
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