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Eventtriggered synchronization of coupled memristive neural networks Appl. Math. Comput. (IF 4.091) Pub Date : 20211019
Sha Zhu, Haibo BaoThis article is devoted to exploring the synchronization problem of coupled memristive neural networks (CMNN) under eventtriggered control (ETC) for the first time. Firstly, combining the concept of Filippov solution with the theory of differential inclusion, the interval parameter system is introduced. Then, static eventtriggered control (SETC) condition and dynamic eventtriggered control (DETC)

Observerbased H∞ control for persistent dwelltime switched networked nonlinear systems under packet dropout Appl. Math. Comput. (IF 4.091) Pub Date : 20211020
Zongjie Chen, Yigang Zhang, Qingkai Kong, Ting Fang, Jing WangThis paper focuses on the observerbased controller design issue for a class of discretetime networked nonlinear systems. Due to the stochastic effects, the switching between subsystems occurs. The persistent dwelltime switching mechanism, which is more general than dwelltime switching and average dwelltime switching mechanisms, can well describe these switching cases with both fast and slow switchings

On the structure of data losses induced by an overflowed buffer Appl. Math. Comput. (IF 4.091) Pub Date : 20211018
Andrzej ChydzinskiWe deal with the statistical structure of data losses, when packetized data are transmitted through a channel with a buffering mechanism and may be subject to losses due to the buffer overflow. The main contribution is an explicit formula for the burst ratio parameter, which reflects the tendency of losses to cluster together, in long series. A general model of the arrival stream is used, which enables

High accuracy analysis of Galerkin finite element method for Klein–Gordon–Zakharov equations Appl. Math. Comput. (IF 4.091) Pub Date : 20211018
Dongyang Shi, Ran WangThe main aim of this paper is to propose a Galerkin finite element method (FEM) for solving the Klein–Gordon–Zakharov (KGZ) equations with power law nonlinearity, and to give the error estimations of approximate solutions about the electronic fast time scale component q and the ion density deviation r. In which, the bilinear element is used for spatial discretization, and a second order difference

Transitions and bifurcations in couple stress fluid saturated porous media using a thermal nonequilibrium model Appl. Math. Comput. (IF 4.091) Pub Date : 20211019
Zhigang Pan, Lan Jia, Yiqiu Mao, Quan WangIn this article, we study the stability and transition of couple stress fluid saturated porous media, heated from below and cooled from above by employing a thermal nonequilibrium model. Careful analysis shows that the thermal nonequilibrium model has a global attractor, and the global attractor only consists of the basic solution if the Rayleigh number is equal or below a threshold. In generic case

A weight initialization based on the linear product structure for neural networks Appl. Math. Comput. (IF 4.091) Pub Date : 20211019
Qipin Chen, Wenrui Hao, Juncai HeWeight initialization plays an important role in training neural networks and also affects tremendous deep learning applications. Various weight initialization strategies have already been developed for different activation functions with different neural networks. These initialization algorithms are based on minimizing the variance of the parameters between layers and might still fail when neural

Resilient decentralized adaptive tracking control for nonlinear interconnected systems with unknown control directions against DoS attacks Appl. Math. Comput. (IF 4.091) Pub Date : 20211019
Zhipeng Zhang, Huimin WangThis paper investigates the problem of resilient decentralized control for nonlinear interconnected systems with unknown control directions under denialofservice (DoS) attacks. For each subsystem, a novel switched sampleddata observer and an adaptive control architecture are respectively proposed to deal with the unavailable correction term in the existing results. Then a resilient decentralized

A rapid and powerful iterative method for computing inverses of sparse tensors with applications Appl. Math. Comput. (IF 4.091) Pub Date : 20211018
Eisa Khosravi Dehdezi, Saeed KarimiThis paper proposes an algorithm based on the Shultz iterative method and divided differences to find the roots of nonlinear equations. Using the new method, we present a rapid and powerful algorithm to compute an approximate inverse of an invertible tensor. Analysis of the convergence error shows that the convergence order of the method is a linear combination of the Fibonacci sequence and also is

A novel hybrid difference method for an elliptic equation Appl. Math. Comput. (IF 4.091) Pub Date : 20211017
Dongwook Shin, Youngmok Jeon, EunJae ParkHybrid difference methods are a kind of finite difference methods which is similar to hybrid discontinuous Galerkin methods introduced by Jeon and Park (SIAM J. Numer. Anal., 2010). In the previous hybrid difference method, the approximate solution is only defined on the lines parallel to the coordinate axes, but the approximation is not defined at the corner/edge nodes. Thus, it is hard to calculate

Neural networkbased fixedtime sliding mode control for a class of nonlinear EulerLagrange systems Appl. Math. Comput. (IF 4.091) Pub Date : 20211017
ZhiYe Zhao, XiaoZheng Jin, XiaoMing Wu, Hai Wang, Jing ChiIn this paper, the problem of robust fixedtime trajectory tracking control for a class of nonlinear EulerLagrange (EL) systems with exogenous disturbances and uncertain dynamics is addressed. A neural network (NN)based adaptive estimation algorithm is employed to approximate the continuous uncertain dynamics, so that the dynamics of the EL system can be rebuild based on the estimations. In order

Adaptive tracking control of switched cyberphysical systems with cyberattacks Appl. Math. Comput. (IF 4.091) Pub Date : 20211016
Linlin Hou, Yao Li, Wende Luo, Haibin SunThis study investigates the problem of adaptive tracking control for switched cyberphysical systems against cyberattacks. A tracking signal is generated using an exogenous system. An adaptive tracking controller is designed to compensate for the attacks and then stabilize the studied systems. A switching signal is constructed using the modedependent average dwell time (MDADT) method. By using the

The Songling system has exactly four limit cycles Appl. Math. Comput. (IF 4.091) Pub Date : 20211014
Zbigniew Galias, Warwick TuckerDetermining how many limit cycles a planar polynomial system of differential equations can have is a remarkably hard problem. One of the main difficulties is that the limit cycles can reside within areas of vastly different scales. This makes numerical explorations very hard to perform, requiring high precision computations, where the necessary precision is not known in advance. Using rigorous computations

Optimal exercise of American puts with transaction costs under utility maximization Appl. Math. Comput. (IF 4.091) Pub Date : 20211013
Xiaoping Lu, Dong Yan, SongPing ZhuAmerican option pricing plays an essential role in quantitative finance and has been extensively studied in the past. However, how transaction costs affect the American option price, particularly the most important feature of American options, the optimal exercise price, is much less investigated. It is primarily because such a study must be conducted under an incomplete market, which presents additional

The elementfree Galerkin method for the dynamic Signorini contact problems with friction in elastic materials Appl. Math. Comput. (IF 4.091) Pub Date : 20211013
Rui Ding, Quan Shen, Yuan YaoThe elementfree Galerkin method is proposed for the dynamic Signorini contact problems with friction in elastic materials. The Dirichlet boundary conditions and the constrained conditions are imposed by the penalty method. The error estimates of the elementfree Galerkin method indicate that the convergence order depends on the spatial step, the time step, the largest degree of a complete Pascal's

Augmented truncation approximations to the solution of Poisson’s equation for Markov chains Appl. Math. Comput. (IF 4.091) Pub Date : 20211012
Jinpeng Liu, Yuanyuan Liu, Yiqiang Q. ZhaoPoisson’s equation has a lot of applications in various areas, such as Markov decision theory, perturbation theory, central limit theorems (CLTs), etc. Usually it is hard to derive the explicit expression of the solution of Poisson’s equation for a Markov chain on an infinitely many state space. Here we will present a computational framework for the solution for both discretetime Markov chains (DTMCs)

An adapted plane waves method for heat conduction problems Appl. Math. Comput. (IF 4.091) Pub Date : 20211011
Nuno F.M. Martins, Pedro MotaIn this paper we construct a new set of basis functions for the numerical solution of nonhomogeneous heat conduction problems with Dirichlet boundary conditions and null initial data. These functions can be seen as Newtonian potentials of plane waves for the heat equation and satisfy a null initial condition. Density results for adapted waves will be established and several numerical simulations will

Structural properties of bichromatic noncrossing matchings Appl. Math. Comput. (IF 4.091) Pub Date : 20211010
Marko Savić, Miloš StojakovićGiven a set of n red and n blue points in the plane, we are interested in matching red points with blue points by straight line segments so that the segments do not cross. We develop a range of tools for dealing with the noncrossing matchings of points in convex position. It turns out that the points naturally partition into groups that we refer to as orbits, with a number of properties that prove

Disturbance observerbased backstepping formation control of multiple quadrotors with asymmetric output error constraints Appl. Math. Comput. (IF 4.091) Pub Date : 20211011
Fang Wang, Yali Gao, Chao Zhou, Qun ZongThis paper presents a distributed formation tracking control strategy which acts on multiple quadrotor unmanned aerial vehicles (QUAVs) formation control under external disturbance and asymmetric output error constraints. An asymmetric barrier Lyapunov function (BLF) is applied to ensure the constraint of output error. Based on graph theory and backstepping control method, a distributed formation controller

Multiple delaydependent eventtriggered finitetime H∞ filtering for uncertain networked random systems against state and input constraints Appl. Math. Comput. (IF 4.091) Pub Date : 20211010
Shaoxin Sun, Ting Li, Yongheng Pang, Xingxing HuaIn this article, multiple delaydependent eventtriggered finitetime H∞ filtering as well as faulttolerant control is discussed for networked random systems subject to state as well as input constraints. This is the first time to explore fault detection issue via filtering for networked random models. First, an eventtriggered scheme is designed. Secondly, a zero order holder is studied. According

Expressions and properties of weak core inverse Appl. Math. Comput. (IF 4.091) Pub Date : 20211009
Dijana Mosić, Predrag S. StanimirovićVarious novel expressions of weak core inverse and its dual are developed in this paper. In addition, integral and limit representations as well as perturbation formulae for the weak core and dual weak core inverses are presented. We investigate continuity for the weak core inverse and its dual. The weak core and dual weak core inverses for upper block triangular matrix are considered. A variant of

Express the number of spanning trees in term of degrees Appl. Math. Comput. (IF 4.091) Pub Date : 20211010
Fengming Dong, Jun Ge, Zhangdong OuyangIt is wellknown that the number of spanning trees, denoted by τ(G), in a connected multigraph G can be calculated by the MatrixTree Theorem and Tutte’s deletioncontraction formula. In this short note, we find an alternate method to compute τ(G) by degrees of vertices.

Memorybased eventtriggered asynchronous control for semiMarkov switching systems Appl. Math. Comput. (IF 4.091) Pub Date : 20211010
Lifei Xie, Jun Cheng, Hailing Wang, Jiange Wang, Mengjie Hu, Zhidong ZhouIn this paper, the asynchronous control problem is addressed for semiMarkov switching systems with a memorybased eventtriggered mechanism. In light of the asynchronous phenomenon between the resulting dynamic modes and the memory controller modes, a more general hidden semiMarkov model is expected. Notably, aiming at decrease the triggering intervals while improving the dynamic performance, a novel

A note on the transformation of boundary value problems to initial value problems: The iterative transformation method Appl. Math. Comput. (IF 4.091) Pub Date : 20211009
A.G. FareoIn this paper, a concise review is presented, of how the scaling transformation group can be employed to determine a modified boundary value problem [6,10,11], which is invariant under an extended twoparameter scaling group. The main contribution is then to show that since the nonphysical scaling parameter in the extended group is unity, a simple iterative method which does not require an extended

The least–square/fictitious domain method based on Navier slip boundary condition for simulation of flow–particle interaction Appl. Math. Comput. (IF 4.091) Pub Date : 20211010
Rong Zhang, Qiaolin HeIn this article, we develop a least–squares/fictitious domain method for direct simulation of fluid particle motion with Navier slip boundary condition at the fluid–particle interface. Let Ω and B be two bounded domains of Rd such that B¯⊂Ω. The motion of solid particle B is governed by Newton’s equations. Our goal here is to develop a fictitious domain method where one solves a variant of the original

Iterative oversampling technique for constraint energy minimizing generalized multiscale finite element method in the mixed formulation Appl. Math. Comput. (IF 4.091) Pub Date : 20211010
Siu Wun Cheung, Eric Chung, Yalchin Efendiev, Wing Tat Leung, SaiMang PunIn this paper, we develop an iterative scheme to construct multiscale basis functions within the framework of the Constraint Energy Minimizing Generalized Multiscale Finite Element Method (CEMGMsFEM) for the mixed formulation. The iterative procedure starts with the construction of an energy minimizing snapshot space that can be used for approximating the solution of the model problem. A spectral

Simple and robust contactdiscontinuity capturing central algorithms for high speed compressible flows Appl. Math. Comput. (IF 4.091) Pub Date : 20211009
Ramesh Kolluru, N. Venkata Raghavendra, S.V. Raghurama Rao, G.N. SekharThe nonlinear convection terms in the governing equations of compressible fluid flows are hyperbolic in nature and are nontrivial for modelling and numerical simulation. Many numerical methods have been developed in the last few decades for this purpose and are typically based on Riemann solvers, which are strongly dependent on the underlying eigenstructure of the governing equations. Objective of

Monotonicity and discretization of Urysohn integral operators Appl. Math. Comput. (IF 4.091) Pub Date : 20211009
Magdalena NockowskaRosiak, Christian PötzscheThe property that a nonlinear operator on a Banach space preserves an order relation, is subhomogeneous or order concave w.r.t. an order cone has profound consequences. In Nonlinear Analysis it allows to solve related equations by means of suitable fixed point or monotone iteration techniques. In Dynamical Systems the possible long term behavior of associate integrodifference equations is drastically

Polynomial stability of positive switching homogeneous systems with different degrees Appl. Math. Comput. (IF 4.091) Pub Date : 20211008
Yuangong Sun, Yazhou TianIn this article the polynomial stability for positive switching homogeneous systems with different degrees is investigated by proposing a logarithm contraction average dwelltime method. By introducing a class of logarithm contraction average dwelltime switching signals and a piecewise maximum Lyapunov function, we establish an explicit criterion for global polynomial stability of positive switching

Leaderfollower nonfragile consensus of delayed fractionalorder nonlinear multiagent systems Appl. Math. Comput. (IF 4.091) Pub Date : 20211008
Liping Chen, Xiaomin Li, YangQuan Chen, Ranchao Wu, António M. Lopes, Suoliang GeThis paper addresses the leaderfollower nonfragile consensus of nonlinear fractionalorder (FO) multiagent systems (FOMAS) with state time delay. The structured uncertainties occurring in both the plant and the controller are considered for the first time. Using the linear matrix inequality approach and the FO Razumikhin theorem, a delay and orderdependent protocol is obtained to guarantee the

Artificial neural network approximations of Cauchy inverse problem for linear PDEs Appl. Math. Comput. (IF 4.091) Pub Date : 20211009
Yixin Li, Xianliang HuA novel artificial neural network method is proposed for solving Cauchy inverse problems. Using multiplelayers network as an approximation we present a nonmesh discretization to solve the problems. The existence and convergence are shown to establish the wellposedness of neural network approximations for the Cauchy inverse problems. Numerical results on 2D to 8D cases show that compared to finite

Convergence and stability of the semitamed Milstein method for commutative stochastic differential equations with nonglobally Lipschitz continuous coefficients Appl. Math. Comput. (IF 4.091) Pub Date : 20211004
Yulong Liu, Yuanling Niu, Xiujun ChengA new explicit stochastic scheme of order 1 is proposed for solving commutative stochastic differential equations (SDEs) with nonglobally Lipschitz continuous coefficients. The proposed method is a semitamed version of Milstein scheme to solve SDEs with the drift coefficient consisting of nonLipschitz continuous term and globally Lipschitz continuous term. It is easily implementable and achieves

Related Thunsdorff type and Frank–Pick type inequalities for Sugeno integral Appl. Math. Comput. (IF 4.091) Pub Date : 20211004
B. Daraby, R. Mesiar, F. Rostampour, A. RahimiThe purpose of this paper is to investigate the Thunsdorff’s inequality for Sugeno integral. By an example, we show that the classical form of this inequality does not hold for Sugeno integral. Then, by reviewing the initial conditions, we prove two main theorems for this inequality. Finally, by checking the special case of the aforementioned Thunsdorff’s inequality, we prove Frank–Pick type inequality

Observerbased fuzzy feedback control for nonlinear systems subject to transmission signal quantization Appl. Math. Comput. (IF 4.091) Pub Date : 20211003
XiaoHeng Chang, Xue JinThis paper investigates the observerbased quantized output feedback control for a kind of nonlinear discretetime systems. The system studied in this paper is denoted by a Takagi–Sugeno (T–S) fuzzy model. Under digital communication channels, all transmitted signals between the system and the actuator (including the controller and the observer) will be quantized by the dynamic quantizers in the closedloop

Solving the thirdkind Volterra integral equation via the boundary value technique: Lagrange polynomial versus fractional interpolation Appl. Math. Comput. (IF 4.091) Pub Date : 20211003
Hao Chen, Junjie MaThe solution to the thirdkind Volterra integral equation (VIE3) usually has unbounded derivatives near the original point t=0, which brings difficulties to numerical computation. In this paper, we analyze two kinds of modified multistep collocation methods for VIE3: collocation boundary value method with the fractional interpolation (FCBVM) and that with Lagrange interpolation (CBVMG). The former

Identifying topology and system parameters of fractionalorder complex dynamical networks Appl. Math. Comput. (IF 4.091) Pub Date : 20211003
Yi Zheng, Xiaoqun Wu, Ziye Fan, Wei WangThis article aims to identify the topology and system parameter of fractionalorder complex dynamical networks. The unknown topology and system parameter of the drive network are successfully identified under several controllers and update strategies. Moreover, we propose a lemma as the necessary condition to ensure successful identification. Two numerical simulations conclude that the high heterogeneity

Maximal double Roman domination in graphs Appl. Math. Comput. (IF 4.091) Pub Date : 20211001
H. Abdollahzadeh Ahangar, M. Chellali, S.M. Sheikholeslami, J.C. ValenzuelaTripodoroA maximal double Roman dominating function (MDRDF) on a graph G=(V,E) is a function f:V(G)→{0,1,2,3} such that (i) every vertex v with f(v)=0 is adjacent to least two vertices assigned 2 or to at least one vertex assigned 3, (ii) every vertex v with f(v)=1 is adjacent to at least one vertex assigned 2 or 3 and (iii) the set {w∈Vf(w)=0} is not a dominating set of G. The weight of a MDRDF is the sum

Highly efficient Shannon waveletbased pricing of power options under the double exponential jump framework with stochastic jump intensity and volatility Appl. Math. Comput. (IF 4.091) Pub Date : 20211002
ChunSung Huang, John G. O'Hara, Sure MataramvuraWe propose a highly efficient and accurate valuation method for exoticstyle options based on the novel Shannon wavelet inverse Fourier technique (SWIFT). Specifically, we derive an efficient pricing method for power options under a more realistic double exponential jump model with stochastic volatility and jump intensity. The inclusion of such innovations may accommodate for the various stylised facts

Reliable exponential H∞ filtering for a class of switched reactiondiffusion neural networks Appl. Math. Comput. (IF 4.091) Pub Date : 20210930
Zhilian Yan, Tong Guo, Anqi Zhao, Qingkai Kong, Jianping ZhouIn this paper, the reliable exponential H∞ filtering issue is studied for switched reactiondiffusion neural networks subject to exterior interference. The purpose is to design a Luenberger observer to make sure that the filtering error system possesses a predefined exponential H∞ interferencerejection level against possible sensor failures. An analysis result on the exponential H∞ performance is

Surface waves propagation in a homogeneous liquid layer overlying a monoclinic halfspace Appl. Math. Comput. (IF 4.091) Pub Date : 20210930
Nirakara Pradhan, Sapan Kumar SamalThis article includes an analytical investigation of the surface waves propagation in a uniform liquid layer overlying a homogeneous anisotropic (monoclinic) halfspace. The waves are allowed to propagate through the interface, i.e., between the layer and the medium. Basic arithmetic procedures are employed to derive the dispersion equation for surface waves propagation. A comprising study is accomplished

Partiallycoupled nonlinear parameter optimization algorithm for a class of multivariate hybrid models Appl. Math. Comput. (IF 4.091) Pub Date : 20210928
Yihong Zhou, Xiao Zhang, Feng DingA key to the analysis and design of a dynamic system is to establish a suitable mathematical model of the system. This paper investigates the parameter optimization problem of a class of radial basis functionbased multivariate hybrid models. Taking into account the high dimensions of the models and different forms of the parameters, the original identification model is separated into several regressive

Fully distributed eventtriggered timevarying formation control of multiagent systems subject to modeswitching denialofservice attacks Appl. Math. Comput. (IF 4.091) Pub Date : 20210928
Weihua Li, Huaguang Zhang, Wei Wang, Zhengbao CaoIn this study, the timevarying state formation control problem for general linear multiagent systems (MASs) subject to modeswitching denialofservice (MSDoS) attacks is considered. Based on only the sampled state information of itself and neighboring agents at eventtriggered instants, a novel fully distributed eventtriggered secure control strategy without continuous communication between agents

Cartoon and texture decomposition for color image in opponent color space Appl. Math. Comput. (IF 4.091) Pub Date : 20210927
YouWei Wen, Mingchao Zhao, Michael NgThe Meyer model has been successfully applied to decompose cartoon component and texture component for the gray scale image, where the total variation (TV) norm and the Gnorm are respectively modeled to capture the cartoon component and the texture component in an energy minimization method. In this paper, we extend this model to the color image in the opponent color space, which is closer to human

A C0 weak Galerkin method for linear Cahn–Hilliard–Cook equation with random initial condition Appl. Math. Comput. (IF 4.091) Pub Date : 20210927
Shimin Chai, Yu Wang, Wenju Zhao, Yongkui ZouThis paper introduces a C0 weak Galerkin finite element method for a linear Cahn–Hilliard–Cook equation. The highlights of the proposed method are that the complexity of constructing the C1 finite element space for fourth order problem is avoided and the number of degree of freedom is apparently reduced compared to the fully discontinuous weak Galerkin finite element method. With the redefined discrete

The verification of multiplicity support of a defective eigenvalue of a real matrix Appl. Math. Comput. (IF 4.091) Pub Date : 20210926
Zhe Li, Chunlei ZhangComputing a defective eigenvalue is an illposed problem if components of the matrix are approximate data. Using the definition of multiplicity support of a defective eigenvalue introduced by Zeng, we consider the verification about the sensitivity and computation of a defective eigenvalue of a real matrix. We discuss how to construct a slightly perturbed interval matrix which is guaranteed to possess

A graddiv stabilized penalty projection algorithm for fluidfluid interaction Appl. Math. Comput. (IF 4.091) Pub Date : 20210925
Mustafa AggulThe penalty projection algorithm (PP), which decouples pressure from the momentum equation of incompressible Navier–Stokes Equation (NSE), is among the most conventional approaches to simulate fluid flows. In a fluidfluid decoupling setting, however, PP has never been employed but offers the potential for being one of the most typical candidates to compute two NSE’s in each subdomain. Although pressure

Wealthbased rule favors cooperation in costly public goods games when individual selection is inevitable Appl. Math. Comput. (IF 4.091) Pub Date : 20210925
Jianwei Wang, Wei Chen, Fengyuan Yu, Jialu He, Wenshu XuIndividual selection, as an effective mechanism, is often used in spatial evolutionary games to promote cooperation. Previous research assumes that, individual selection usually occurs with people who fail to meet a certain criterion. However, individual selection is usually inevitable, regardless of whether players in population cooperate or defect. This paper studies the effects of wealthbased rule

Blowup phenomena in a class of coupled reactiondiffusion system with nonlocal boundary conditions Appl. Math. Comput. (IF 4.091) Pub Date : 20210925
Huimin Tian, Lingling Zhang, Xin WangThe paper deals with blowup phenomena for the following coupled reactiondiffusion system with nonlocal boundary conditions:{ut=∇·(ρ1(u)∇u)+a1(x)f1(v),(x,t)∈D×(0,T),vt=∇·(ρ2(v)∇v)+a2(x)f2(u),(x,t)∈D×(0,T),∂u∂ν=k1(t)∫Dg1(u)dx,∂v∂ν=k2(t)∫Dg2(v)dx,(x,t)∈∂D×(0,T),u(x,0)=u0(x),v(x,0)=v0(x),x∈D¯.Based on some differential inequalities and Sobolev inequality, we establish conditions on the data to guarantee

Fault detection for uncertain nonlinear systems via recursive observer and tight threshold Appl. Math. Comput. (IF 4.091) Pub Date : 20210925
ZhiHui Zhang, LiYing Hao, Mingjie GuoThis paper presents an fault detection (FD) method for a class of uncertain nonlinear systems with unmatched nonlinear fault functions and disturbances. A recursive FD observer is designed with predetermined and small output estimation error. The nonlinear observer gain function is achieved by introducing predetermined output estimation accuracydependent nonnegative functions. Combining Lyapunov functions

Fault detection and isolation of actuator failures in jet engines using adaptive dynamic programming Appl. Math. Comput. (IF 4.091) Pub Date : 20210925
Haobo Kang, Hongjun MaThis paper presents a adaptive dynamic programmingbased fault detection and isolation (FDI) scheme to detect and isolate faults in an aircraft jet engine. To this end, the weights in ActorCritic neural networks are first tuned to learn the inputoutput map of the jet engine considering its multiple working modes. The convergences of the trainings in CriticActor neural networks are strictly proved

Finitedifference approximation of the inverse Sturm–Liouville problem with frozen argument Appl. Math. Comput. (IF 4.091) Pub Date : 20210924
Natalia P. BondarenkoThis paper deals with the discrete system being the finitedifference approximation of the Sturm–Liouville problem with frozen argument. The inverse problem theory is developed for this discrete system. We describe the two principal cases: degenerate and nondegenerate. For these two cases, appropriate inverse problems statements are provided, uniqueness theorems are proved, and reconstruction algorithms

Empty nodes affect conditional cooperation under reinforcement learning Appl. Math. Comput. (IF 4.091) Pub Date : 20210924
Danyang Jia, Tong Li, Yang Zhao, Xiaoqin Zhang, Zhen WangIn social dilemmas, individual behavior generally follows the characteristics of conditional cooperation and emotional conditional cooperation. However, it is hard to adequately explain the behavior patterns of conditional cooperation with the evolutionary game theory. This paper introduces expectationbased reinforcement learning methods in the public goods game to investigate and account for the

Asymptotic analysis of a biphase tumor fluid flow: the weak coupling case. Appl. Math. Comput. (IF 4.091) Pub Date : 20210924
Cristina Vaghi, Sebastien Benzekry, Clair PoignardThe aim of this paper is to investigate the asymptotic behavior of a biphase tumor fluid flow model derived by 2scale homogenisation techniques in recent works. This biphase fluid flow model accounts for the capillary wall permeability, and the interstitial avascular phase, both being mixed in the limit homogenised problem. When the vessel walls become more permeable, we show that the biphase fluid

Total value adjustment for European options in a multi‐currency setting Appl. Math. Comput. (IF 4.091) Pub Date : 20210922
Iñigo Arregui, Roberta Simonella, Carlos VázquezIn this article we mainly extend to a multicurrency setting some previous works in the literature concerning total value adjustments in a single currency framework. The motivation comes from the fact that financial institutions operate in global markets, so that the financial derivatives in their portfolios involve different currencies. More precisely, in this multicurrency setting we pose the PDE

Nonconforming time discretization based on Robin transmission conditions for the Stokes–Darcy system Appl. Math. Comput. (IF 4.091) Pub Date : 20210921
ThiThaoPhuong Hoang, Hemanta Kunwar, Hyesuk LeeWe consider a spacetime domain decomposition method based on Schwarz waveform relaxation (SWR) for the timedependent Stokes–Darcy system. The coupled system is formulated as a timedependent interface problem based on Robin–Robin transmission conditions, for which the decoupling SWR algorithm is proposed and proved for the convergence. In this approach, the Stokes and Darcy problems are solved independently

Splitstep balanced θmethod for SDEs with nonglobally Lipschitz continuous coefficients Appl. Math. Comput. (IF 4.091) Pub Date : 20210920
Yufen Liu, Wanrong Cao, Yuelin LiIn this paper, a splitstep balanced θmethod (SSBT) has been presented for solving stochastic differential equations (SDEs) under nonglobal Lipschitz conditions, where θ∈[0,1] is a parameter of the scheme. The moment boundedness and strong convergence of the numerical solution have been studied, and the convergence rate is 0.5. Moreover, under some conditions it is proved that the SSBT scheme can

Riemann solvers of a conserved highorder traffic flow model with discontinuous fluxes Appl. Math. Comput. (IF 4.091) Pub Date : 20210920
Dianliang Qiao, Zhiyang Lin, Mingmin Guo, Xiaoxia Yang, Xiaoyang Li, Peng Zhang, Xiaoning ZhangA conserved highorder traffic flow model (CHO model) is extended to the case with discontinuous fluxes which is called the CHO model with discontinuous fluxes. Based on the independence of its homogeneous subsystem and the property of Riemann invariants, Riemann solvers to the homogeneous CHO model with discontinuous fluxes are discussed. Moreover, we design the firstorder Godunov scheme based on

Steepened wave in twophase Chaplygin flows comprising a source term Appl. Math. Comput. (IF 4.091) Pub Date : 20210920
Sarswati Shah, Randheer Singh, Jasobanta JenaThis manuscript brings some qualitative features of steepened wave in isentropic Chaplygin twophase flows with a nonconstant source term via Lie group transformation. The transport equation for steepened wave is determined. The behaviour of amplitude of steepened wave is investigated using the numerical solution of the system. The effects of inclination of the flow on the amplitude of singular surface

Compact higher order discretization of 3D generalized convection diffusion equation with variable coefficients in nonuniform grids Appl. Math. Comput. (IF 4.091) Pub Date : 20210920
Dharmaraj Deka, Shuvam SenA higherorder compact (HOC) discretization of generalized 3D convectiondiffusion equation (CDE) in nonuniform grid is presented. Even in the presence of crossderivative terms, the discretization uses only nineteen point stencil. Extension of this newly proposed discretization to semilinear and convectiondiffusionreaction problems is seen to be straightforward and this inherent advantage is thoroughly

An agent based observer model of the networked DC drives for speed coordination Appl. Math. Comput. (IF 4.091) Pub Date : 20210920
Suhaib Masroor, Chen PengIn multiagent systems, the problem of a leader following consensus has been the most attractive area of research since the past decade due to its applicability in the real world problem requiring leader based control of the system such that the rest of the system achieve a common goal i.e. leaders trajectory, acted as a reference for the followers, and once this target is achieved then it is said

Sampleddata synchronization criteria for Markovian jumping neural networks with additive timevarying delays using new techniques Appl. Math. Comput. (IF 4.091) Pub Date : 20210920
Tao Wu, Jinde Cao, Lianglin Xiong, Haiyang Zhang, Jinlong ShuThis paper investigates the sampleddata synchronization issue of Markovian jumping neural networks with additive timevarying delays. Firstly, a ternary quadratic function negativedetermination condition and the bilateral sampledintervalrelated Lyapunov functional (BSIRLF) approach are proposed. Based on the developed two novel approaches, some new criteria based on the linear matrix inequalities