Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Multi-language suite for high-performance solvers of differential equations and scientific machine learning (SciML) components. Ordinary differential equations (ODEs), stochastic differential ...

Abstract: Problems involving the classical linear partial differential equations of mathematical physics can be reduced to algebraic ones of a very much simpler structure by replacing the ...

Courant Institute of Mathematical Sciences, New York University, 251 Mercer Street, NY 10012, USA ...

We call it a wave function because it has a wavelike solution—which is nice, since we can then use our math techniques for dealing with waves. Notice that this equation relates a time rate of ...

When you’re faced with a tough challenge, how do you respond? Creative problem-solving is an important skill because it allows you to tackle some of the difficult parts of relationships or work ...

The non-uniform rational B-splines (NURBS) basis functions to discretize the fourth-order partial differential equation for flexoelectricity and obtains a deterministic ... This paper lays out a ...

Content creators and artists argue that the current models are opaque, ... The math that describes the branching pattern of trees in nature also holds for trees depicted in art—and may even ...

In India, many kids who work in retail markets have good math skills. They can quickly perform a range of calculations to complete transactions. But as a new study shows, these kids often perform ...

To estimate accurate elastic parameters, the exact ... equation for forward/inverse problems. This is the objective function, assuming that the model parameters obey the Gaussian distribution. The ...