Only when students persist on challenging tasks that are slightly beyond their level can they gain mastery of a concept ...

In this paper, a novel approach leveraging artificial neural networks is introduced to approximate solutions for partial differential equations. The one-dimensi ...

A state-of-the-art deep domain decomposition method (D3M) based on the variational principle is proposed for partial differential equations (PDEs). The solution of PDEs can be formulated as the ...

SUNDIALS: SUite of Nonlinear and DIfferential/ALgebraic equation Solvers Version 7.4.0 (Jun 2025) Center for Applied Scientific Computing, Lawrence Livermore National Laboratory SUNDIALS is a family ...