Latest Tech News

Stay updated with the latest in technology, AI, cybersecurity, and more

Filtered by: methods Clear Filter

Implicit ODE solvers are not universally more robust than explicit ODE solvers

A very common adage in ODE solvers is that if you run into trouble with an explicit method, usually some explicit Runge-Kutta method like RK4, then you should try an implicit method. Implicit methods, because they are doing more work, solving an implicit system via a Newton method having “better” stability, should be the thing you go to on the “hard” problems. This is at least what I heard at first, and then I learned about edge cases. Specifically, you hear people say “but for hyperbolic PDEs

Implicit ODE Solvers Are Not Universally More Robust Than Explicit ODE Solvers

A very common adage in ODE solvers is that if you run into trouble with an explicit method, usually some explicit Runge-Kutta method like RK4, then you should try an implicit method. Implicit methods, because they are doing more work, solving an implicit system via a Newton method having “better” stability, should be the thing you go to on the “hard” problems. This is at least what I heard at first, and then I learned about edge cases. Specifically, you hear people say “but for hyperbolic PDEs

Implicit Ode Solvers Are Not Universally More Robust Than Explicit Ode Solvers

A very common adage in ODE solvers is that if you run into trouble with an explicit method, usually some explicit Runge-Kutta method like RK4, then you should try an implicit method. Implicit methods, because they are doing more work, solving an implicit system via a Newton method having “better” stability, should be the thing you go to on the “hard” problems. This is at least what I heard at first, and then I learned about edge cases. Specifically, you hear people say “but for hyperbolic PDEs

Hexatetrahedral Rails

Software is a creative endeavor and a craft. And like any creative endeavor and any craft, it is subject to fashions. About a decade ago, one of those fashions was Hexagonal Rails largely inspired by the DDD book, but also by the original Hexagonal Architecture work by Dr. Cockburn. Some of these applications are now up for their Rails upgrade and an “oil change,” and it’s interesting to see them in the wild and how they get perceived through the lens of the years that have gone by since then.

This Prehistoric Trick Shows How Ice Age People Harvested Teeth for Jewelry

When piecing together the cultural practices of ancient humans, traditional archaeologists rely on clues from artifacts such as tools, bones, and pottery. Experimental archaeologists, however, go a step further—recreating past behaviors to experience how people once lived. That’s precisely what a team of researchers recently did to investigate how Stone Age communities in northeastern Europe extracted animal teeth to produce accessories. Led by Aija Macāne, a visiting scholar in the Department

The axion may help clean up the messy business of dark matter

In recent years, a curious hypothetical particle called the axion, invented to address challenging problems with the strong nuclear force, has emerged as a leading candidate to explain dark matter. Although the potential for axions to explain dark matter has been around for decades, cosmologists have only recently begun to seriously search for them. Not only might they be able to resolve some issues with older hypotheses about dark matter, but they also offer a dizzying array of promising avenue