Abstract: Many problems in science and engineering can be mathematically modeled using partial differential equations (PDEs), which are essential for fields like computational fluid dynamics (CFD), ...

An illustration of a magnifying glass. An illustration of a magnifying glass.

A differential equation is an equality constraining a mathematical function in relation to its derivatives over one or multiple variables. Such equations may constitute the mathematical model for a ...

Fundamental studies concerning partial-supplying high-performance liquid chromatography (HPLC) were conducted to apply it to the analysis of intermolecular interactions. Because it is a novel ...

Although much is known about the molecular components of cellular signaling pathways, very little is known about how these multicomponent biochemical machineries process complex extracellular signals ...

Mathematician Grigori Perelman solved the Poincaré conjecture, and then rejected the $1 million prize that came with it.

Ask the publishers to restore access to 500,000+ books. The Internet Archive keeps the record straight by recording government websites, news publications, historical documents, and more. If you find ...

Abstract: The image denoising algorithm based on partial differential equation can selectively solve the problem of noise and image smoothing, which has become the focus of current image denoising ...

py-pde is a Python package for solving partial differential equations (PDEs). The package provides classes for grids on which scalar and tensor fields can be defined. The associated differential ...

Are you a natural problem-solver? Drawn to the latest technology and exploring innovative ideas? If your career goals include not only securing your own future but making a lasting impact on the world ...

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...