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Automorphism groups of graph covers and uniform subset graphs
(Taylor and Francis Group, 2018)
Hofmeister considered the automorphism groups of antipodal graphs through the exploration of graph covers. In this note weextend the exploration of automorphism groups of distance preserving graph covers. We apply the ...
A robust spectral method for pricing of American put options on zero-coupon bonds
(Global-Science Press, 2018)
American put options on a zero-coupon bond problem is reformulated as a
linear complementarity problem of the option value and approximated by a nonlinear
partial differential equation. The equation is solved by an ...
On maximal inequalities via comparison principle
(SpringerOpen, 2015)
Under certain conditions, we prove a new class of one-sided, weighted, maximal
inequalities for a standard Brownian motion. Our method of proof is mainly based on
a comparison principle for solutions of a system of ...
Relative homotopy in relational structures
(Cambridge University Press, 2018)
The homotopy groups of a finite partially ordered set (poset) can be described entirely in the
context of posets, as shown in a paper by B. Larose and C. Tardif. In this paper we describe the relative
version of such a ...
A fitted numerical method for parabolic turning point singularly perturbed problems with an interior layer
(Wiley, 2019)
The objective of this paper is to construct and analyzea fitted operator finite difference method (FOFDM) forthe family of time-dependent singularly perturbed parabolicconvection–diffusion problems. The solution to the ...
On the exact constants in one-sided maximal inequalitiesfor Bessel processes
(Taylor and Francis Group, 2023)
In this paper, we establish a one-sided maximal moment inequalitywith exact constants for Bessel processes. As a consequence, weobtain an exact constant in the Burkholder-Gundy inequality. Theproof of our main result is ...
A NSFD method for the singularly perturbed Burgers-Huxley equation
(Frontiers Media, 2023)
This article focuses on a numerical solution of the singularly perturbed
Burgers-Huxley equation. The simultaneous presence of a singular perturbation
parameter and the nonlinearity raise the challenge of finding a ...