Tessellations aren’t just eye-catching patterns—they can be used to crack complex mathematical problems. By repeatedly ...

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 ...

Google on Wednesday (12 November) featured a special Doodle celebrating the quadratic equation, one of mathematics' most fundamental formulas that has shaped everything from engineering to economics.

An apparently easy-looking math problem has left internet users scratching their heads. The elementary-grade problem looks simple enough to solve in seconds, but has tripped up the masses. The basic ...

Differential analysis requires you to think about all the potential solutions to a particular business opportunity to determine which one is the most cost-effective. By analyzing the cost and revenue ...

In the past few years, fractional differential equations have emerged as a strong and well-organized mathematical tool in the study of many occurrences in science and engineering. Research in ...

This course provides an introduction to topics involving ordinary differential equations. Emphasis is placed on the development of abstract concepts and applications for first-order and linear ...

Abstract: This paper studies a linear-quadratic optimal control problem derived by forward-backward stochastic differential equations, where the drift coefficient of ...

Separation of variables is a powerful method for solving differential equations, enabling the simplification of complex problems into more manageable parts. This video offers a clear and detailed ...