Tag Numerical Methods

A Comprehensive Guide to Zernike Polynomials and Their Applications

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 →

Understanding Computational Optimal Transport: Foundations and Applications in Data Science

In recent years, the advent of Computational Optimal Transport (COT) has significantly transformed various fields in data science. What was once an abstract mathematical theory has evolved into a practical tool for solving complex problems in imaging sciences, computer vision,… Continue Reading →

Revolutionizing Time-Domain Partial Differential Equations with Nonstandard PSTD Methods

Defining PSTD Schemes and Their Importance The term PSTD schemes, or Pseudospectral Time Domain schemes, refers to a powerful class of numerical methods utilized to solve partial differential equations (PDEs) that involve time-dependent changes. As mathematical models governing various physical… Continue Reading →

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