which provides a suite of manufactured solutions for the software verification of partial differential equation solvers in multiple dimensions. Example formulations include: Heat Equation Laplace's ...

An acausal modeling framework for automatically parallelized scientific machine learning (SciML) in Julia. A computer algebra system for integrated symbolics for physics-informed machine learning and ...

String theory aims to explain all fundamental forces and particles in the universe—essentially, how the world operates on the ...

Abstract: Problems involving the classical linear partial differential ... of the behavior of the solution as the mesh width tends to zero. For present purposes we limit ourselves mainly to simple but ...

This paper discusses the general decay synchronization problem for a class of fuzzy competitive neural networks with time-varying delays and discontinuous activation fun ...

Your rear differential is one of the most unappreciated parts in your car or truck. It does what might be the hardest job of all of those components, multiplying torque from your transmission and ...

for example. Other homes are better insulated and have more efficient cooling systems, or their residents have previously ...

Real-world tests show that EnergyHub’s ‘dynamic load shaping’ tech can get thousands of thermostats and other devices to ramp ...

So we’re really seeing different unknown variables being applied to a real-life fashion business using simultaneous equations. For example ... an infinite number of solutions.