Tag Analysis of PDEs
The field of mathematics often delves into the intricate behaviors of processes described by differential equations. One such intriguing area of study is the zero number diminishing property, particularly in relation to one-dimensional parabolic equations. This property serves as a… Continue Reading →
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 →
In the world of mathematics, complex theories and formulas often baffle the average person. However, a new research article titled “Higher order fractional Leibniz rule” has shed light on one such concept, making it more accessible and understandable. In this… Continue Reading →
In the realm of mathematical analysis of propagation phenomena, the concept of traveling waves plays a vital role. Traveling waves refer to the spatio-temporal connections between two stationary states, where solutions maintain consistent profile shapes as time progresses. This concept… Continue Reading →
Operators with corner-degenerate symbols have garnered significant attention in the field of operator algebras, especially when dealing with manifolds exhibiting higher singularities. In a recent research article by Jamil Abed and Bert-Wolfgang Schulze, a new approach to studying ellipticity and… Continue Reading →