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A note on the Baker–Campbell–Hausdorff series in terms of right-nested commutators
(Springer, 2021-01-27)
We get compact expressions for the Baker–Campbell–Hausdorff
series Z = log(eX eY ) in terms of right-nested commutators. The reduction in the number of terms originates from two facts: (i) we use as a
starting point an ...
Challenges Regarding Scientific Transcription in Virtual Office Hours
(MDPI, 2021-03-24)
Mathematics teachers face great difficulties during virtual communication with their
students, mainly because scientific and technical subjects use a great many mathematical symbols,
abstract objects and a wide variety ...
Multiple photon effective Hamiltonians in linear quantum optical networks
(Elsevier, 2019)
We give an alternative derivation for the explicit formula of the effective Hamiltonian describing the evolution
of the quantum state of any number of photons entering a linear optics multiport. The description is based ...
Fuzzy quasi-pseudometrics on algebraic structures
(Elsevier, 2018-01)
In this work we state a number of theorems about fuzzy (quasi-)pseudometrizable algebraic structures. Our most useful results are: (1) a fuzzy semitopological group whose topology is induced by a left-invariant fuzzy ...
The Lie-group method based on radial basis functions for solving nonlinear high dimensional generalized Benjamin–Bona–Mahony–Burgers equation in arbitrary domains
(Elsevier, 2018-03-15)
The aim of this paper is to introduce a new numerical method for solving the nonlinear generalized Benjamin–Bona–Mahony–Burgers (GBBMB) equation. This method is combination of group preserving scheme (GPS) with radial basis ...
Dynamical mechanism behind ghosts unveiled in a map complexification
(Elsevier, 2022-01-14)
Complex systems such as ecosystems, electronic circuits, lasers, or chemical reactions can be modelled by dynamical systems which typically experience bifurcations. It is known that transients become extremely long close ...
Locally recoverable J-affine variety codes
(2020-06)
A locally recoverable (LRC) code is a code over a finite eld Fq such that
any erased coordinate of a codeword can be recovered from a small number of other
coordinates in that codeword. We construct LRC codes correcting ...
A numerical technique for applying time splitting methods in shallow water equations
(2018-06-30)
In this paper we analyze the use of time splitting techniques for solving shallow water equations. We discuss some properties that these schemes should satisfy so that interactions between the source term and the shock ...
Convergence analysis of high-order commutator-free quasi-Magnus exponential integrators for nonautonomous linear evolution equations of parabolic type
(Oxford University Press, 2018-04)
The main objective of this work is to provide a stability and error analysis of high-order commutator-free quasi-Magnus (CFQM) exponential integrators. These time integration methods for nonautonomous linear evolution ...
A dichotomy property for locally compact groups
(Elsevier, 2018-08)
We extend to metrizable locally compact groups Rosenthal's theorem describing those Banach spaces containing no copy of l1. For that purpose, we transfer to general locally compact groups the notion of interpolation (Io) ...