Applied Mathematical Sciences

  title={Applied Mathematical Sciences},
  author={Kenneth S. Berenhaut and Broderick O. Oluyede},
Splines, lattice points, and arithmetic matroids
Let X be a $$(d\times N)$$(d×N)-matrix. We consider the variable polytope $$\varPi _X(u) = \{ w \ge 0 : X w = u \}$$ΠX(u)={w≥0:Xw=u}. It is known that the function $$T_X$$TX that assigns to a
Local stability implies global stability for the 2-dimensional Ricker map
In this study, we consider the difference equation where is a positive parameter and d is a non-negative integer. The case d = 0 was introduced by W.E. Ricker in 1954. For the delayed version of the
Causal Inference Under Unmeasured Confounding With Negative Controls: A Minimax Learning Approach
This paper tackles the primary challenge to causal inference using negative controls: the identification and estimation of these bridge functions, and provides a new identification strategy that avoids both uniqueness and completeness.
Piecewise quadratic bounding functions for finding real roots of polynomials
A new algorithm to obtain roots of the real polynomial represented by f(x) is constructed and it is shown that this algorithm is more useful than others.
The Complex Dynamical Behavior of a Prey-Predator Model with Holling Type-III Functional Response and Non-Linear Predator Harvesting
ABSTRACT In the present paper we have investigated the impact of predator harvesting in a two-dimensional prey–predator model with Holling type III functional response. The main objective of this
Time-dependent propagators for stochastic models of gene expression: an analytical method
An analytical method is proposed for the efficient approximation of propagators of stochastic models for gene expression which lends itself naturally to implementation in a Bayesian parameter inference scheme, and can be generalised systematically to related categories of stoChastic models beyond the ones considered here.
Moving Mesh for the Numerical Solution of Partial Differential Equations
This paper presents moving meshes for the numeric resolution of partial differential equation s using the methods of finite volumes and finite elements, both with moving meshes.
Microsurface Transformations
We derive a general result in microfacet theory: given an arbitrary microsurface defined via standard microfacet statistics, we show how to construct the statistics of its linearly transformed
Nonlinear Laplacian Dynamics: Symmetries, Perturbations, and Consensus
In this paper, we study a class of dynamic networks called Absolute Laplacian Flows under small perturbations. Absolute Laplacian Flows are a type of nonlinear generalisation of classical linear
Wasserstein Distributionally Robust Gaussian Process Regression and Linear Inverse Problems
We study a distributionally robust optimization formulation (i.e., a min-max game) for problems of nonparametric estimation: Gaussian process regression and, more gen-erally, linear inverse problems.


Application of He's Homotopy Perturbation Method to Volterra's Integro-differential Equation
In this paper, He's Homotopy Perturbation Method is proposed for solving Volterra's Integro-differential Equation. The Volterra's population model is converted to a nonlinear ordinary differential
Approximate solutions for the generalized KdV–Burgers' equation by He's variational iteration method
In this paper, the variational iteration method is used for solving the generalized KdV–Burgers' (GKdVB(p,m,q)) equations with nonzero parameters p, m and q. We can see the GKdVB (p, m,q) equations
A new modification of He’s homotopy perturbation method for rapid convergence of nonlinear undamped oscillators
In this paper we present a new efficient modification of the homotopy perturbation method with x3 force nonlinear undamped oscillators for the first time that will accurate and facilitate the
Application of He’s homotopy perturbation method to nonlinear shock damper dynamics
In order to obtain the equations of motion of vibratory systems, we will need a mathematical description of the forces and moments involved, as function of displacement or velocity, solution of
A Generalized Soliton Solution of the Konopelchenko-Dubrovsky Equation using He’s Exp-Function Method
In this paper, J. H. He’s exp-function method is used to obtain a generalized soliton solution with some free parameters of the Konopelchenko-Dubrovsky equation. Suitable choice of parameters in the