Abstract: In this paper, we present a robust and accurate numerical method for solving the generalized Black–Scholes equation governing option pricing. We use a horizontal method of lines to ...

Sept. 9 (UPI) --Google is celebrating the start of the 2025-26 school year with a quadratic equation-themed Doodle. The mathematical formula has useful applications across physics, engineering and ...

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Differential equations are fundamental tools in physics: they are used to describe phenomena ranging from fluid dynamics to general relativity. But when these equations become stiff (i.e. they involve ...

Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based ...

In January I wrote a piece titled “ 5 Physics Equations Everyone Should Know .” Lots of you weighed in with your own ...

Researchers from the Institute of Cosmos Sciences of the University of Barcelona (ICCUB) have developed a new framework based on machine learning ...

Physicists are now using principles from quantum mechanics to build a new model of the abstract concept of pi. Or, more ...

- L: Longevity of civilizations Why It Matters: Guides scientific inquiry into extraterrestrial life—driving research on exoplanets, astrobiology, and SETI efforts ...

Abstract: The solving of nonlinear equation systems (e.g., complex transcendental dispersion equation systems in waveguide systems) is a fundamental topic in science and engineering. Davidenko method ...

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 ...