## 244 Citations

### Splines, lattice points, and arithmetic matroids

- Mathematics
- 2014

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

- Mathematics
- 2013

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

- MathematicsArXiv
- 2021

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

- Mathematics, Computer ScienceNumerical Algebra, Control & Optimization
- 2019

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.

### Cooperative Continuum Robots: Concept, Modeling, and Workspace Analysis

- EngineeringIEEE Robotics and Automation Letters
- 2018

In this letter, we present cooperative continuum robot (CCR) concept, kineto-static analysis, and model validation. Our motivation is to provide increased reachability and maneuverability required in…

### The Complex Dynamical Behavior of a Prey-Predator Model with Holling Type-III Functional Response and Non-Linear Predator Harvesting

- MathematicsInternational Journal of Modelling and Simulation
- 2021

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…

### Coupled FCT-HP for Analytical Solutions of the Generalized Timefractional Newell-Whitehead-Segel Equation

- Mathematics
- 2018

This paper considers the generalized form of the time-fractional Newell-Whitehead-Segel model (TFNWSM) with regard to exact solutions via the application of Fractional Complex Transform (FCT) coupled…

### Time-dependent propagators for stochastic models of gene expression: an analytical method

- MathematicsJournal of mathematical biology
- 2018

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

- Computer Science, Mathematics
- 2013

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.

### Deterministic-Statistical Approach for an Inverse Acoustic Source Problem using Multiple Frequency Limited Aperture Data

- MathematicsArXiv
- 2022

We propose a deterministic-statistical method for an inverse source problem using multiple frequency limited aperture far ﬁeld data. The direct sampling method is used to obtain a disc such that it…

## References

SHOWING 1-10 OF 19 REFERENCES

### Application of He's Homotopy Perturbation Method to Volterra's Integro-differential Equation

- Mathematics
- 2005

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

- Mathematics
- 2007

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

- Mathematics
- 2009

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

- Mathematics
- 2010

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

- Mathematics
- 2007

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…