[HTML][HTML] Universal function approximation by deep neural nets with bounded width and relu activations

B Hanin - Mathematics, 2019 - mdpi.com
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 …

Highly efficient, singularly P-stable, and low-cost phase-fitting two-step method of 14th order for problems in chemistry

CL Lin, TE Simos - Journal of Mathematical Chemistry, 2023 - Springer
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 singularly P-stable economical two-step method for problems in chemistry

B Sun, CL Lin, TE Simos - Journal of Mathematical Chemistry, 2022 - Springer
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 …

A phase-fitting, first, second and third derivatives phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry

CL Lin, TE Simos - Journal of Mathematical Chemistry, 2022 - Springer
An approach to phase-fitting is devised, which includes methods for fitting the phase-lag and
for fitting its first, second, and third derivatives. Singularly P-Stable, the novel system belongs …

Solution to quantum chemistry problems using a phase-fitting, singularly P-stable, cost-effective two-step approach with disappearing phase-lag derivatives up to …

B Sun, CL Lin, TE Simos - Journal of Mathematical Chemistry, 2023 - Springer
The phase lag and its first, second, third, fourth, and fifth derivatives are all accounted for in a
phase-fitting method. The new system uses the fewest possible function evaluations per …

A phase-fitting singularly P-stable cost-effective two-step method for solving chemistry problems

CL Lin, TE Simos - Journal of Mathematical Chemistry, 2022 - Springer
Methods for fitting the phase-lag and its first, second, third, and fourth derivatives are
incorporated into a phase-fitting strategy. The novel system is singularly P-stable and is a …

A phase-fitting and first derivative phase-fitting singularly P-stable economical two-step method for problems in quantum chemistry

MA Medvedev, TE Simos - Journal of Mathematical Chemistry, 2022 - Springer
A phase-fitting and first derivative phase-fitting method is developed. The new scheme is
singularly P-Stable and belongs to the economic algorithms. The new method is symbolized …

Two-step, fourteenth-order, phase-fitting procedure with high efficiency and minimal cost for chemical problems

W Bao, CL Lin, B Sun, TE Simos - Journal of Mathematical Chemistry, 2023 - Springer
Using a phase-fitting method can get rid of the phase lag together with its first and second
derivatives. The new technique has been dubbed the economical method since it uses the …

A complete in phase FiniteDiffrnc algorithm for DiffrntEqutins in chemistry

CL Lin, TE Simos - Journal of Mathematical Chemistry, 2020 - Springer
A complete in phase FiniteDiffrnc algorithm for DiffrntEqutins in chemistry | SpringerLink Skip
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Solution of quantum chemical problems by a very effective and relatively inexpensive two-step, fourteenth-order, phase-fitting procedure

MA Medvedeva, TE Simos - Journal of Mathematical Chemistry, 2023 - Springer
It is possible to eliminate the phase-lag and its first, second, and third derivatives by
employing a phase-fitting technique. The new approach is called the economical method …