The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

Abstract: In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one ...

This is a minimal Quarto project containing only the source files (no build output). Drop these files into a new GitHub repo (or upload via the web UI) and then use Quarto locally to render.

SIAM Journal on Numerical Analysis, Vol. 50, No. 6 (2012), pp. 3351-3374 (24 pages) In this paper quasi-Monte Carlo (QMC) methods are applied to a class of elliptic partial differential equations ...

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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 ...

Navratri 2025 is being celebrated with great devotion across India, and September 23 (Tuesday) marks the second day dedicated to Maa Brahmacharini. Devotees not only perform puja rituals but also ...

In this repository, we present Wan2.1, a comprehensive and open suite of video foundation models that pushes the boundaries of video generation. Wan2.1 offers these key features: If your work has ...

Can you chip in? The Internet Archive is a nonprofit fighting for universal access to quality information. We build and maintain all our own systems, but we don’t charge for access, sell user ...

Behind the name “Trillion Dollar Equation” lies the Riemann Hypothesis, often described as the greatest unsolved puzzle in mathematics. If proven, it would unlock new ways of predicting prime numbers, ...

Tossing your old printers and laptops in the trash is not only bad for the environment; it can even be illegal. It's no wonder a CNET survey found that nearly a third of us have old, unused tech ...