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 ...
IEEE

Indefinite Linear-Quadratic Optimal Control of Mean-Field Stochastic Differential Equation With Jump Diffusion: An Equivalent Cost Functional Method

Abstract: In this article, we consider a linear-quadratic optimal control problem of mean-field stochastic differential equation with jump diffusion, which is also called as an mean-field ...
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 ...
archive

Elementary differential equations and boundary value problems, eighth edition, William E. Boyce, Richard C. DiPrima : student solutions manual

Can you chip in? This year we’ve reached an extraordinary milestone: 1 trillion web pages preserved on the Wayback Machine. This makes us the largest public repository of internet history ever ...