Tag Numerical Analysis
Zernike polynomials are a fascinating yet complex mathematical concept that plays an important role in various scientific fields. Understanding Zernike polynomials can open up pathways to new innovations in optics, atmospheric sciences, and numerical methods. This article breaks down the… Continue Reading →
The realm of computational solid mechanics is experiencing a shift, one that may redefine how simulations of solid behaviors and fluid interactions are conducted. With the introduction of an open-source finite volume toolbox based on the OpenFOAM library, researchers and… Continue Reading →
Tensor networks have emerged as powerful tools for solving large-scale optimization problems in recent years. These networks are capable of handling complicated tensor structures and have proven to be highly effective in various fields. One popular tensor network model is… Continue Reading →
If you have ever dived into the world of numerical methods for solving partial differential equations (PDEs), you might have come across the term “Galerkin discretization.” This technique allows us to replace the infinite-dimensional solution space of a PDE with… Continue Reading →
In recent years, the occurrence of natural disasters and human errors has raised concerns about the potential leakage of hazardous liquid chemicals in various industrial settings, including factories and chemical plants. When such incidents happen, accurate estimation of exposure risks… Continue Reading →
In the realm of mathematics and physics, the manipulation of differential and integral operators plays a crucial role in solving complex problems. However, efficiently representing and manipulating these operators in a numerical context has been a challenge. This is where… Continue Reading →