Applied Mathematics and Computation

• The structural proprieties of Q n k are deeply explored.
• The 3-path-...

Let G be a connected simple graph with vertex set V ( G ). Let Ω be a subset with cardinality at least two of V ( G ). A path containing all vertices of Ω is said to be an Ω-path of G. Two Ω-paths T 1 and T 2 of G are internally ...

• Two new computational algorithms are proposed for estimating the Lyapunov exponents from time series data in order to test the null hypothesis of a chaotic ...

Most of the existing methods and techniques for the detection of chaotic behaviour from empirical time series try to quantify the well-known sensitivity to initial conditions through the estimation of the so-called Lyapunov exponents ...

• Linear stability of a non-Newtonian hydromagnetic Casson fluid in a channel flow is studied.

We study the temporal stability of linear two-dimensional disturbances of plane Poiseuille flow of a Casson fluid in a rigid parallel channel under the influence of a uniform magnetic field. When the disturbance is taken in normal mode ...

• Preservation of the global energy of multi-symplectic PDEs by reducedorder modeling.

Many Hamiltonian systems can be recast in multi-symplectic form. We develop a reduced-order model (ROM) for multi-symplectic Hamiltonian partial differential equations (PDEs) that preserves the global energy. The full-order solutions ...

• This work concerns with the convergence of a diffuse interface PB model to the sharp interface PB model.

Both the sharp interface and diffuse interface Poisson-Boltzmann (PB) models have been developed in the literature for studying electrostatic interaction between a solute molecule and its surrounding solvent environment. In the ...

• A dynamic edge environment under interactive diversity is introduced to explore the evolution of cooperation.

Cooperation is the basis for complex organizational structures in biological as well as social systems. However, there is still an innate selfishness in us that greatly challenges our cooperative drive in the context of natural ...

• A new improved general lower bound for the renewal function.
• Improved upper and ...

Renewal equations are frequently encountered in several applications when regenerative arguments are used in modelling. Since, these equations usually do not have analytical solutions, bounds have a great practical importance. The aim ...

• Introduction of dissipative weak solutions for the Euler equations in the framework of high-order FE methods.

In this paper, we present convergence analysis of high-order finite element based methods, in particular, we focus on a discontinuous Galerkin scheme using summation-by-parts operators. To this end, it is crucial that structure ...

• A local projection stabilization term is introduced to keep the scheme stable for time-fractional Burgers equation with high Reynolds number.

We propose and analyze a local projection stabilization virtual element method for time-fractional Burgers equation on polygonal meshes, whose solutions display a weak singularity at the initial time. Based on the L 1 scheme on a ...

• New second-order accurate invariant-region-preserving(IRP) unstaggered-central scheme for the hyperbolic conservation laws.

Due to the Riemann solver free and avoiding characteristic decomposition, the central scheme is a simple and efficient tool for numerical solution of hyperbolic conservation laws (Nessyahu and Tadmor, J. Comput. Phys., 87(2):314-329,...

• We propose an extension/generalization of the GeDS methodology, recently developed by Kaishev et al. (2016) for the Normal univariate spline regression case.

In this paper we extend the GeDS methodology, recently developed by Kaishev et al. [18] for the Normal univariate spline regression case, to the more general GNM/GLM context. Our approach is to view the (non-)linear predictor as a ...

• a new quaternion sign function is based on real and complex numbers is presented. At the same time, several new lemmas are introduced by computationally ...

In this paper, to simulate some situations in the real world, a class issue of finite-time synchronization (FTS) about fractional-order quaternion-valued neural networks (FOQVNNs) with time delay is discussed. Firstly, there is no need ...

We present the development of approximate numerical schemes to solve the non-linear fragmentation model. Two numerical weighted finite volume techniques are presented based on the particulate system’s mass and number preservation ...

• The exponential stability of a class of continuous-time impulsive switched positive nonlinear systems (ISPNSs) with asynchronous impulses is studied for the ...

The global exponential stability for a type of continuous-time impulsive switched positive nonlinear systems (ISPNSs) with average dwell time (ADT) switching and mode-dependent impulsive effects is explored in this research. Where we ...

• In this paper, we consider the problem of finding a Hamiltonian cycle for truncated rectangular grid graphs.

The Hamiltonian cycle problem is an important problem in graph theory. For solid grid graphs, an O ( n 4 )-time algorithm has been given. In this paper, we solve the problem for a special class of solid grid graphs, i.e. truncated ...

This research presents a numerical analysis of the normal field instability for an initially flat layer of ferrofluid under the influence of magnetic field. A coupling between the simplified lattice Boltzmann method and the self-...

• A new algorithm is proposed for the fast assemblage of finite element matrices.

The finite element method is a well-established method for the numerical solution of partial differential equations (PDEs), both linear and nonlinear. However, the repeated reassemblage of finite element matrices for nonlinear PDEs is ...

• Numerical computation of SDEs in high dimension is approached via Gaussian analysis.

Stochastic Differential Equations (SDEs) in high dimension, having the structure of finite dimensional approximation of Stochastic Partial Differential Equations (SPDEs), are considered. The aim is to numerically compute the expected ...

• A large number of topological indices (alias graph invariants) have been defined in mathematical chemistry with the aim of modelling chemical phenomena.

For a graph X, the leap eccentric connectivity index (LECI) is ∑ x ∈ V ( X ) d 2 ( x , X ) ε ( x , X ), where d 2 ( x , X ) is the 2-distance degree and ε ( x , X ) the eccentricity of x. We establish a lower and an upper bound for the ...

• A Pareto-based Stackelberg stochastic differential game is solved.
• A feedback ...

This paper is concerned about a Pareto-based Stackelberg stochastic differential game with multi-followers, in which followers are cooperative relations. First of all, necessary and sufficient conditions for the existence of Pareto-...

In this paper, the H ∞ consensus control problem for Markov jump multi-agent systems with imperfect time-varying transition probabilities is studied. Both the transition probability matrix and the higher-level transition probability ...

We establish and investigate a traffic flow model on two lanes with two velocities in this paper. The model takes account of the conservation of mass and acceleration equation on each lane. We derive the elementary waves and solve the ...

• For random impulsive delay systems with multiple random impulsive intensity, the criteria of the existence and uniqueness of the global solution with general ...

This paper investigates the noise-to-state stability of random impulsive delay systems with multiple random impulses, whose random impulsive amplitude is driven by a homogeneous irreducible aperiodic Markov chain. Firstly, some ...