We present a new, unified approach to the solution of the elastance problem in electrostatics and the mobility problem in Stokes flow. More precisely, we construct integral representations that lead ...

ABSTRACT. We present a comparison among the performance of solvers based on Nyström discretizations of several well-posed boundary integral equation formulations of Helmholtz transmission problems in ...

THOR AI tackles the curse of dimensionality by breaking down the giant data cube into smaller, linked components. It’s like reorganizing Lego into neat chains. When paired with a custom interpolation ...

In a 2006 book that garnered much press for its silly attacks on string theory, author and physicist Lee Smolin provides a list of “The Five Great Problems in Theoretical Physics.” There are many ...

Shini introduces us to integrals, and how they're critical to studying physics. Continuing with last week's introduction of calculus, Shini leads us through the ways that integrals can help us figure ...

Physics and Python stuff. Most of the videos here are either adapted from class lectures or solving physics problems. I really like to use numerical calculations without all the fancy programming ...

Here is classic (and difficult) physics problem that poses an interesting question: Take two points in space, Point 1 and Point 2. What is the path from point 1 to 2 that a frictionless object could ...

While many physics instructors are beginning to incorporate lessons on diversity, equity, and inclusion in the classroom, it can often feel like an add-on rather than an integral component of becoming ...