We present exact explicit Peregrine soliton solutions based on a periodic-wave background caused by the interference in the vector cubic-quintic nonlinear Schrödinger equation involving the ...

Abstract: Several finite-element time-domain (FETD) formulations to model inhomogeneous and electrically/magnetically/doubly dispersive materials based on the second ...

Abstract: In this paper, after an examination of the spectrum of the system matrix of the discrete vector Helmholtz equation, a novel technique that makes edge finite element matrices more suitable ...

A neural network implementation that predicts what the solution to a sparse matrix equation will be. The prediction is then fed into a solver (using methods such as Gauss-Seidel, Jacobi, etc.) as the ...

Any vector can be expressed as a sum of a number of other vectors. The vectors which are summed are called the components of the original vector. When you want to add and subtract two dimensional ...

List of examples and tutorials of how to use the Vector Search Engine Weaviate for cool machine-learning related tasks. Most examples assume you have a Weaviate ...