This article concerns the expressive power of depth in neural nets with ReLU activations and
a bounded width. We are particularly interested in the following questions: What is the …

This survey paper contains a surprisingly large amount of material and indeed can serve as
an introduction to some of ideas and methods of singular perturbation theory. In continuation …

In this paper we develop a trigonometrically fitted predictor–corrector (P–C) scheme, which
is based on the well-known two-step second-order Adams–Bashforth method (as predictor) …

A scheme of trigonometrically fitted predictor–corrector (P–C) Adams–Bashforth–Moulton
methods is constructed in this paper. Our new P–C method is based on the third order …

Symplectic Conditions for Exponential Fitting Runge-Kutta-NystrSm Methods Page 1 ELSEVIER
MATHEMATICAL Available online at www.sciencedirect.com 8CIENCE ~___~DIRECT e …

A class of singularly perturbed two-point boundary-value problems (BVPs) for second-order
ordinary differential equations (DEs) is considered here. In order to obtain numerical …

A family of implicit methods based on intra-step Chebyshev interpolation has been
developed to integrate oscillatory second-order initial value problems of the form y ″(t)− 2g …

The choice of frequency in trigonometrically fitted methods is a fundamental question,
especially if long-term prediction is considered. For linear oscillators, the frequency of the …

The phase lag and its first derivative can all vanish when utilising a phase-fitting strategy.
Since the new method employs the highest possible algebraic order (AOR) while …

A phase-fitting, first and second derivatives phase-fitting method is produced. The new
algorithm is singularly P-Stable and belongs to the economic algorithms. The new method is …