Abstract: LaSalle’s invariance principle is a commonly used extension of Lyapunov’s second method to study asymptotic stability of nonlinear systems. If the system can be written in polynomial form, ...

Abstract: Nonlinear equations systems (NESs) are widely used in real-world problems and they are difficult to solve due to their nonlinearity and multiple roots. Evolutionary algorithms (EAs) are one ...

TensorFlow implementation for DAS-PINNs: A deep adaptive sampling method for solving high-dimensional partial differential equations. Physics-informed neural networks are a type of promising tools to ...

RANS code to solve turbulent flows over a flat plate or through a pipe and channel with variable properties as a function of temperature only (low mach number approximation). Periodic boundary ...

Physicist Albert Einstein famously posited that if he only had an hour to crack a daunting problem, he'd devote 55 minutes to ...

Backed by years of research in cognitive psychology, the Blue Dolphin Rule will help you replace harmful thoughts with helpful ones.

QUT researchers have developed a pioneering mathematical framework to help "pick winners" and maximize limited funding and ...

Three teaching approaches in the classroom can help students to master problem-solving skills in their learning ...

Researchers are working on manipulating the digestive systems of wax worms to create a scalable way of disposing of plastic. In 2017, European researchers discovered a potential solution. The larvae ...

A woman and her teenage son lay dead inside a home in Gary's Miller section, but video from her Ring doorbell security system revealed the faces of two possible suspects. Within hours, police knew the ...