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 ...

In particular, we incorporate a stochastic noise term in the original equation, and systematically characterize the uncertainty. The model is a stochastic differential equation with mean reverting ...

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 ...

Abstract: In this paper it is explained how Maxwell's field equations together with the appropriate boundary conditions may be converted into equations analogous to those for coupled transmission ...

We present a general method for solving the modified Helmholtz equation without shape approximation for an arbitrary periodic charge distribution, whose solution is known as the Yukawa potential or ...

My research focuses on several aspects of partial differential equations: mathematical modelling ... In 2023 I joined WPI through the Harold J. Gay Professorship. MSc in Civil Eng. (Federal Univ. Rio ...

Bangladesh has a denser population in comparison with many other countries. Though the rate of population increase has been ...

65-73, 1980. The original paper had no abstract, so this reprint to be truthful to the original work is published with no abstract. Mathematical subject classification: 35J25, 35Q60, 47F05, 86A20, ...

They work through the list to rule in and rule out which diagnosis is the best fit. This process is called "differential diagnosis." They may order additional tests or imaging to pinpoint the best ...

Engineering simulations often require significant computational resources and time, which creates barriers for users and can slow down project timelines. By using machine learning methods, researchers ...