Physics World

Neural networks discover unstable singularities in fluid systems

The Navier–Stokes partial differential equation was developed in the early 19th century by Claude-Louis Navier and George ...
archive

Numerical solution of partial differential equations : finite difference methods

An illustration of a magnifying glass. An illustration of a magnifying glass.
Scientific Research Publishing

Weak Pullback Attractors of Stochastic Semilinear Degenerate Equations with Memory Driven by Nonlinear Noise ()

This paper is concerned with the long-time behavior of solutions for a class of stochastic semilinear degenerate equations with memory driven by nonlinear noise on ℝ n ...
IEEE

Sequence-to-Sequence Stacked Gate Recurrent Unit Networks for Approximating the Forward Problem of Partial Differential Equations

Abstract: We proposed an optimisation algorithm based on the sequence-to-sequence (Seq2Seq) stacking of the gate recurrent unit (GRU) model to characterise and approximate the forward problem of ...
IEEE

Physics-Aware Decoding for Communication Channels Governed by Partial Differential Equations

Abstract: Digital communication systems inherently operate through physical media governed by partial differential equations (PDEs). In this paper, we introduce a ...