Memristive technology has been rapidly emerging as a potential alternative to traditional
CMOS technology, which is facing fundamental limitations in its development. Since oxide …

Teleparallel gravity (TG) has significantly increased in popularity in recent decades, bringing
attention to Einstein's other theory of gravity. In this Review, we give a comprehensive …

The field of dynamical systems is being transformed by the mathematical tools and
algorithms emerging from modern computing and data science. First-principles derivations …

Abstract We propose Graph-Coupled Oscillator Networks (GraphCON), a novel framework
for deep learning on graphs. It is based on discretizations of a second-order system of …

The purpose of this study is to investigate the deeper characteristics of the system of shallow
water wave equations that is used to model the turbulence in the atmosphere and oceans …

This paper aims at reviewing nonlinear methods for model order reduction in structures with
geometric nonlinearity, with a special emphasis on the techniques based on invariant …

The topological protection of wave transport, originally observed in the context of the
quantum Hall effect in two-dimensional electron gases, has been shown to apply broadly to …

We show that nonlinear problems including nonlinear partial differential equations can be
efficiently solved by variational quantum computing. We achieve this by utilizing multiple …

Alternating direction method of multiplier (ADMM) is a widely used algorithm for solving
constrained optimization problems in image restoration. Among many useful features, one …

Abstract The Nobel Prize winning confirmation in 1998 of the accelerated expansion of our
Universe put into sharp focus the need of a consistent theoretical model to explain the origin …