Partial differential equations (PDE) describe the behavior of fluids, structures, heat transfer, wave propagation, and other physical phenomena of scientific and engineering interest. This course ...
We consider nonlinear problems of the form f(x, λ, α) = 0, where $x \in \mathBbb{R}$ is a state variable, $\lambda \in \mathBbb{R}$ is a bifurcation parameter ...
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Unveiling the mysteries of computational fluid dynamics
Computational fluid dynamics (CFD) is a branch of physics that utilizes numerical methods and algorithms to analyze and predict the behavior of fluids and gases under various conditions. This field ...
This paper develops two local mesh-free methods for designing stencil weights and spatial discretization, respectively, for parabolic partial differential equations (PDEs) of ...
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