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The compound truncated Poisson Cauchy model: A descriptor for multimodal data J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200404
Josimar M. Vasconcelos; Renato J. Cintra; Abraão D.C. Nascimento; Leandro C. RêgoMultimodal data are often present in synthetic aperture radar (SAR) image processing. Such images are often modeled by probability mixtures, but such solution may involve a large number of parameters and its inference becomes challenging. To address this issue, we proposed a probability distribution capable of describing multimodal data with only three parameters. The introduced model is defined by

A novel fast direct solver for 3D elastic inclusion problems with the isogeometric boundary element method J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200402
F.L. Sun; Y.P. Gong; C.Y. DongWe present a novel fast direct solver to simulate 3D large scale elastic inclusion problems. The method combines the isogeometric analysis boundary element method (IGABEM) and the hierarchical offdiagonal lowrank (HODLR) matrix based on nonuniform rational Bsplines (NURBS). Hence the 3D geometric surface can be accurately described by the bivariate NURBS basis functions. In order to solve the large

Analysis of the environmental trend of network finance and its influence on traditional commercial banks J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200402
Zhaoyi Xu; Xinyu Cheng; Kefei Wang; Shenggang YangIn order to understand the environmental trend of network finance and the impact of network finance on traditional commercial banks, after analyzing the transaction risks of network finance, this study learns from the advanced models of credit risk measurement and early warning at home and abroad and the latest artificial intelligence technology, combining them with China’s national conditions, so

Construction of triharmonic Bézier surfaces from boundary conditions J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200402
Yan Wu; ChunGang ZhuThe surface of partial differential equation (PDE surface) is a surface that satisfies the PDE with boundary conditions, which can be applied in surface modeling and construction. In this paper, the construction of tensor product Bézier surfaces of triharmonic equation from different boundary conditions is presented. The internal control points of the resulting triharmonic Bézier surface can be obtained

Accelerating the Arnoldi method via Chebyshev polynomials for computing PageRank J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200402
CunQiang Miao; XueYuan TanIn this paper, by integrating the Arnoldi method with the Chebyshev acceleration technique, we present the ArnoldiChebyshev method for computing the PageRank vector of the Google matrix. Convergence analysis of this method is exhibited. In addition, some numerical experiments are carried out to demonstrate the competitiveness of the new method with a few stateofthe art iterative methods.

Numerical solution of variable order fractional nonlinear quadratic integrodifferential equations based on the sixthkind Chebyshev collocation method J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200401
A. Babaei; H. Jafari; S. BanihashemiIn this paper, a sixthkind Chebyshev collocation method will be considered for solving a class of variable order fractional nonlinear quadratic integrodifferential equations (VOFNQIDEs). The operational matrix of variable order fractional derivative for sixthkind Chebyshev polynomials is derived and then, a collocation approach is employed to reduce the VOFNQIDE to a system of nonlinear algebraic

Numerical analysis of interface hybrid difference methods for elliptic interface equations J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200331
Youngmok Jeon; Mai Lan TranWe propose an extension of the hybrid difference method called the interface hybrid difference methods for solving elliptic interface equations. The hybrid difference method is composed of two types of approximations: one is the finite difference approximation of PDEs within cells (cell FD) and the other is the intercell finite difference (intercell FD) on edges of cells. The intercell finite difference

Finite Difference preconditioning for compact scheme discretizations of the Poisson equation with variable coefficients J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200331
Stéphane AbideThe finite difference preconditioning for higherorder compact scheme discretizations of non separable Poisson’s equation is investigated. An eigenvalue analysis of a onedimensional problem is detailed for compact schemes up to the tenthorder. The analysis concludes that the spectrum is bounded irrespective of the mesh size and the continuous variable coefficient. Hence, combined to a multigrid method

Secondorder balanced stochastic Runge–Kutta methods with multidimensional studies J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200331
Anandaraman Rathinasamy; Davood Ahmadian; Priya NairIn this paper, we have considered two classes of secondorder balanced stochastic Runge–Kutta methods to multidimensional Itô stochastic differential equations. The control functions in the proposed methods are used to improve and enhance the convergence and stability properties of the method. The strong convergence of the secondorder balanced stochastic Runge–Kutta methods is analyzed. The preservation

Moments of discounted aggregate claims with dependence based on Spearman copula J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200331
Weiwei Sun; Xiang Hu; Lianzeng ZhangThis paper considers an extension to the classical compound Poisson risk process by introducing a dependence structure between the interclaim time and the claim size. We adopt the Spearman copula for constructing the dependence with the purpose of covering a wide range of positive dependence and developing a convex approximation to some bivariate copulas. We study the Laplace transform of the moments

Numerical computation of the capacity of generalized condensers J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200331
Mohamed M.S. Nasser; Matti VuorinenWe present a boundary integral method for numerical computation of the capacity of generalized condensers. The presented method applies to a wide variety of generalized condenser geometry including the cases when the plates of the generalized condenser are bordered by piecewise smooth Jordan curves or are rectilinear slits. The presented method is used also to compute the harmonic measure in multiply

Computerassisted verification of four interval arithmetic operators J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200330
Daisuke Ishii; Tomohito YabuInterval arithmetic libraries provide the four elementary arithmetic operators for operand intervals bounded by floatingpoint numbers. Actual implementations need to make a large case analysis that considers, e.g., magnitude relations between all pairs of argument bounds, positional relations between the arguments and zero, and handling of the special values ±∞ and NaN. Their correctness is not obvious

Multiperiod portfolio selection with mental accounts and realistic constraints based on uncertainty theory J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200330
Jinhua Chang; Lin Sun; Bo Zhang; Jin PengThis paper discusses an uncertain multiperiod portfolio selection problem in the situation where the future security return rates are given by experts’ estimations instead of historical data. In financial market, investors may have different attitudes towards risk for different goals. In order to reflect these conflicting risk attitudes for different goals, mental accounts are introduced to the investment

Nonconvex nonlocal reactive flows for saliency detection and segmentation J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200329
G. Galiano; I. Ramírez; E. SchiaviWe propose and numerically solve a new variational model for automatic saliency detection and segmentation in digital images. Using a nonlocal framework we consider a family of edge preserving functions combined with a new quadratic saliency detection term. Such a term defines a constrained bilateral obstacle problem for image classification driven by pLaplacian operators, including the socalled

Numerical studies of a hemivariational inequality for a viscoelastic contact problem with damage J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200327
Weimin Han; Michal Jureczka; Anna OchalThis paper is devoted to the study of a hemivariational inequality modeling the quasistatic bilateral frictional contact between a viscoelastic body and a rigid foundation. The damage effect is built into the model through a parabolic differential inclusion for the damage function. A solution existence and uniqueness result is commented. A fully discrete scheme is introduced with the time derivative

Recovering the initial wave amplitude for nonlinear elliptic equation with locally Lipschitz source in multipledimensional domain J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200326
Triet Le Minh; Quan Pham Hoang; Phong Luu Hong; Canh Vo VanThe backward problems for the elliptic equation (BPEE) are widely used for modelling problems in many fields such as physics, geometry or engineering. This paper is the first investigation of BPEE in unbounded multipledimensional domain associated with locally Lipschitz source as follows ∂2u∂x12+∂2u∂x22+...∂2u∂xn2+∂2u∂y2=S(x1,x2,…,xn,y,u(x1,x2,…,xn,y)),in which (x1,x2,…,xn,y)∈Rn×0,L, where L>0. Based

On optimal age replacement policy for a class of coherent systems J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200325
Serkan Eryilmaz; Mustafa Hilmi PekalpAccording to the wellknown age replacement policy, the system is replaced preventively at time t or correctively at system failure, whichever occurs first. For a coherent system consisting of components having common failure time distribution which has increasing failure rate, we present necessary conditions for the existence of the unique optimal value which minimizes the mean cost rate. The conditions

Electroosmotic slip flow of OldroydB fluid between two plates with nonsingular kernel J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200325
Aziz Ullah Awan; Mukarram Ali; Kashif Ali AbroIn the present research article, we investigated the slip flow of an unsteady incompressible OldroydB fluid model. The electroosmosis and the pressure gradient have been seized for the stimulation of flow. The progress of the fluid is treated to be as passage composed by two microparallel plates. The potential difference alive between hard surface and the fluid is taken to be non symmetric. The governing

A tensor format for the generalized Hessenberg method for solving Sylvester tensor equations J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200324
Mohammed Heyouni; Farid SaberiMovahed; Azita TajaddiniIn this paper, a general framework using tensor Krylov projection techniques is proposed for solving high order Sylvester tensor equations. After describing the tensor format of the generalized Hessenberg process, we combine the obtained different processes with a Galerkin orthogonality condition or with a minimal norm condition in order to derive the Hess−BTF and CMRH−BTF methods which are based on

An energy stable linear diffusive Crank–Nicolson scheme for the CahnHilliard gradient flow J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200324
Lin Wang; Haijun YuWe propose and analyze a linearly stabilized semiimplicit diffusive Crank–Nicolson scheme for the CahnHilliard gradient flow. In this scheme, the nonlinear bulk force is treated explicitly with two secondorder stabilization terms. This treatment leads to linear elliptic system with constant coefficients and provable discrete energy dissipation. Rigorous error analysis is carried out for the fully

Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200324
Nguyen Huy Tuan; Dumitru Baleanu; Tran Ngoc Thach; Donal O’Regan; Nguyen Huu CanIn this paper, we study the problem of finding the solution of a multidimensional time fractional reaction–diffusion equation with nonlinear source from the final value data. We prove that the present problem is not wellposed. Then regularized problems are constructed using the truncated expansion method (in the case of twodimensional) and the quasiboundary value method (in the case of multidimensional)

Block Hybrid Method for the Numerical solution of Fourth order Boundary Value Problems J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200324
Mark I. Modebei; S.N. Jator; Higinio RamosA linear Multistep Block Hybrid Method with four offgrid points is presented for the direct approximation of the solution of fourth order Boundary Value Problems. Multiple Finite Difference formulas are derived and grouped into a unique block to form a numerical integrator to solve directly the fourth order problem, without the need to reduce it previously to a firstorder system. The convergence

Comments on “A note on structured pseudospectra of block matrices” [J. Comput. Appl. Math. 322 (2017) 18–24] J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200323
Yang Yu; Guolin Hou; Alatancang ChenIn the article R. Ferro and J.A. Virtanen (2017), the authors conjecture that δToep,∗(A)=δ(A), where A is a block Toeplitz matrices whose blocks have no specific structure. In this work we answer the correctness of the conjecture.

Greeks computation in the option pricing problem by means of RBFPU methods J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200323
Salvatore Cuomo; Federica Sica; Gerardo ToraldoIn this article we focus on option Greeks computation by means of Radial Basis Functions (RBF) with Partition of Unity methods. We start by presenting RBF applications to the financial world: we price singleunderlying European and American barrier options and an American basket option on two correlated underlyings. Furthermore, we derive the expression for Greeks calculation via RBF and we compare

Comparison theorems and distributions of solutions to uncertain fractional difference equations J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200323
Qinyun Lu; Yuanguo ZhuThis paper primarily focuses on the distributions of the solutions for uncertain fractional difference equations by comparison theorems. First, comparison theorems are obtained for the fractional difference equations involving Riemann–Liouville type. Then the concepts of symmetrical uncertain variable and αpath to an uncertain fractional difference equation are introduced. Moreover, the relations

A sixth order numerical method and its convergence for generalized Black–Scholes PDE J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200323
Pradip Roul; V.M.K. Prasad GouraThe main aim of this paper is to construct a new computational approach for the numerical solution of generalized Black–Scholes equation. In this approach, the temporal variable is discretized using CranckNicolson scheme and spatial variable is discretized using sextic Bspline collocation method. Convergence analysis of the method is discussed. The proposed method is proved to be stable and have

Numerical behaviour of a new LES model with nonlinear viscosity J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200321
J.M. Rodríguez; R. TaboadaVázquezThe objective of this paper is to present a new Large Eddy Simulation (LES) model obtained by filtering a generalized version of the Navier–Stokes equations with nonlinear viscosity. This new model is a generalization of the model introduced in Rodríguez and TaboadaVázquez (2017). The new LES model, in which viscosity has been substituted by a non linear function of the strain rate tensor, has been

A reliable secondorder hydrostatic reconstruction for shallow water flows with the friction term and the bed source term J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200321
Jian Dong; Ding Fang LiA secondorder hydrostatic reconstruction (HR) scheme for the shallow water equations with a nonflat bottom topography and a Manning friction is presented. The framework of our reconstruction was from Chen and Noelle (2017). We extend it from firstorder to secondorder accuracy. The new secondorder HR scheme endows with a new implicit method, which is used to cope with the friction term, can exactly

Source nodes on elliptic pseudoboundaries in the method of fundamental solutions for Laplace’s equation; selection of pseudoboundaries J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200320
Fangfang Dou; LiPing Zhang; ZiCai Li; C.S. ChenIn the method of fundamental solutions (MFS), source nodes on circles outside the solution domains S has been widely applied in numerical computation. In this paper, source nodes on an ellipse are proposed for solving Laplace’s equation using the MFS, and a robust error and stability analysis is established. Bounds on errors and condition numbers are derived for bounded simplyconnected domains. Polynomial

The leastsquares fit of highly oscillatory functions using Etabased functions J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200306
S. Mashayekhi; L.Gr. IxaruIn this paper we examine the possibility of using the Eta functions as a new base for high quality approximations of oscillatory functions with slowly varying weights. We focus on the least squares and piecewise least squares approximation of such functions and compare the results obtained by using Etabased sets of functions with those obtained by means of the Legendre polynomials and Fourier series

A new class of diagonally implicit Runge–Kutta methods with zero dissipation and minimized dispersion error J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200305
Subhajit Giri; Shuvam SenIn this work, we propose a new class of Astable diagonally implicit four stage Runge–Kutta (R–K) methods with minimal dissipation and optimally low dispersion error. These schemes obtained by minimizing both amplification and phase error enjoy fourth order of accuracy and are suitable for stiff systems. Emphasis here is to outline an algorithm that can be used to develop diagonally implicit R–K methods

Inverse semidefinite quadratic programming problem with l1 norm measure J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200304
Lidan Li; Liwei Zhang; Hongwei ZhangWe consider an inverse problem arising from a semidefinite quadratic programming (SDQP) problem, which is a minimization problem involving l1 vector norm with positive semidefinite cone constraint. By using convex optimization theory, the first order optimality condition of the problem can be formulated as a semismooth equation. Under two assumptions, we prove that any element of the generalized Jacobian

An a posteriori verification method for generalized realsymmetric eigenvalue problems in largescale electronic state calculations J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200229
Takeo Hoshi; Takeshi Ogita; Katsuhisa Ozaki; Takeshi TeraoAn a posteriori verification method is proposed for the generalized realsymmetric eigenvalue problem and is applied to densely clustered eigenvalue problems in largescale electronic state calculations. The proposed method is realized by a twostage process in which the approximate solution is computed by existing numerical libraries and is then verified in a moderate computational time. The procedure

Transitory mortality jump modeling with renewal process and its impact on pricing of catastrophic bonds J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200303
Selin Özen; Şule ŞahinA number of stochastic mortality models with transitory jump effects have been proposed for the securitization of catastrophic mortality risks. Most of the studies on catastrophic mortality risk modeling assumed that the mortality jumps occur once a year or used a Poisson process for their jump frequencies. Although the timing and the frequency of catastrophic events are unknown, the history of the

A new deflation method for verifying the isolated singular zeros of polynomial systems J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200303
JinSan Cheng; Xiaojie Dou; Junyi WenIn this paper, we develop a new deflation technique for refining or verifying the isolated singular zeros of polynomial systems. Starting from a polynomial system with an isolated singular zero, by computing the derivatives of the input polynomials directly or the linear combinations of the related polynomials, we construct a new system, which can be used to refine or verify the isolated singular zero

Reliability inference for a multicomponent stress–strength model based on Kumaraswamy distribution J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200229
Liang Wang; Sanku Dey; Yogesh Mani Tripathi; ShuoJye WuIn this paper, inference for a multicomponent stress–strength (MSS) model is studied under censored data. When both latent strength and stress random variables follow Kumaraswamy distributions with common shape parameters, the maximum likelihood estimate of MSS reliability is established and associated approximate confidence interval is constructed using the asymptotic distribution theory and delta

Weighted L2stability of a discrete kinetic approximation for the incompressible Navier–Stokes equations on bounded domains J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200229
Weifeng Zhao; WenAn YongThis paper is concerned with the stability of a discrete kinetic approximation with a boundary scheme introduced by the authors in a previous work. We prove the weighted L2stability of the approximation by using an identity on threepoint difference schemes for convection equations. With the weighted L2stability, the convergence of the discrete kinetic approximation can be directly established. Moreover

Higher order Emden–Fowler type equations via uniform Haar Wavelet resolution technique J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200304
Swati; Karanjeet Singh; Amit K. Verma; Mandeep SinghA uniform Haar wavelet collocation based method is proposed for finding the numerical results for a class of third order nonlinear (Emden–Fowler type) singular differential equations with initial and boundary conditions. At the point of singularity, the coefficient of the such equation blows up, that causes difficulties in capturing the numerical solutions near the point of singularity. Haar wavelet

Leptokurtic and platykurtic class of robust symmetrical and asymmetrical time series models J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200302
Safdar Ghasami; Mohsen Maleki; Zahra KhodadadiIn this study, we examined the wellknown Autoregressive time series model in which innovations follow the flexible class of twopiece distributions based on the scale mixtures of normal (TPSMN) family. The mentioned class of distributions is a rich class of distributions family that covers the robust symmetric/asymmetric light/heavy tailed distributions. A key feature of this study is using a new

Some properties concerning the analysis of generalized Wright function J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200305
N.U. Khan; T. Usman; M. AmanSolving a linear partial differential equation witness a noteworthy role of Wright function. Due to its usefulness and various applications, a variety of its extensions (and generalizations) have been investigated and presented. The purpose and design of the paper are intended to study and come up with a new extension of the generalized Wright function by using generalized beta function and obtain

On the local and semilocal convergence of a parameterized multistep Newton method J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200309
S. Amat; I. Argyros; S. Busquier; M.A. HernándezVerón; D.F. YañezThis paper is devoted to a family of Newtonlike methods with frozen derivatives used to approximate a locally unique solution of an equation. We perform a convergence study and an analysis of the efficiency. This analysis gives us the opportunity to select the most efficient method in the family without the necessity of their implementation. The method can be applied to many type of problems, including

A new augmented singular transform and its partial Newtoncorrection method for finding more solutions to nonvariational quasilinear elliptic PDEs J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200307
Zhaoxiang Li; Jianxin ZhouIn this paper, in order to find more solutions to a nonvariational quasilinear PDE, a new augmented singular transform (AST) is developed to form a barrier surrounding previously found solutions so that an algorithm search from outside cannot pass the barrier and penetrate into the inside to reach a previously found solution. Thus a solution found by the algorithm must be new. Mathematical justifications

Strongly convergent algorithms by using new adaptive regularization parameter for equilibrium problems J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200310
Dang Van Hieu; Jean Jacques Strodiot; Le Dung MuuTwo new algorithms are proposed in this paper for solving an equilibrium problem whose associated bifunction is monotone and satisfies a Lipschitztype condition in a Hilbert space. In the first algorithm, it is assumed that the value of the Lipschitz constant of the bifunction is known while in the second one the prior knowledge of this constant is not explicitly requested. The proposed algorithms

Stability analysis and error estimates of local discontinuous Galerkin methods with semiimplicit spectral deferred correction timemarching for the Allen–Cahn equation J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200312
Fengna Yan; Yan XuThis paper is concerned with the stability and error estimates of the local discontinuous Galerkin (LDG) method coupled with semiimplicit spectral deferred correction (SDC) timemarching up to third order accuracy for the Allen–Cahn equation. Since the SDC method is based on the first order convex splitting scheme, the implicit treatment of the nonlinear item results in a nonlinear system of equations

Energystable predictor–corrector schemes for the Cahn–Hilliard equation J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200306
Jun Zhang; Maosheng Jiang; Yuezheng Gong; Jia ZhaoIn this paper, we construct a new class of predictor–corrector timestepping schemes for the Cahn–Hilliard equation, which are linear, secondorder accurate in time, unconditionally energy stable, and uniquely solvable. Then, we present the stability and error estimates of the semidiscrete numerical schemes for solving the Cahn–Hilliard equation with general nonlinear bulk potentials. The semidiscrete

Analysis of a novel finite element method for a modified Cahn–Hilliard–Hele–Shaw system J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200314
Hongen Jia; Yayu Guo; Jichun Li; Yunqing HuangIn this paper, a novel finite element method for solving a modified Cahn–Hilliard–Hele–Shaw system is proposed. The time discretization is based on the convex splitting of the energy functional in the modified Cahn–Hilliard equation, i.e., the highorder nonlinear term and the linear term in the chemical potential are treated explicitly and implicitly, respectively. Designing in this way leads to solving

A hybrid method and unified analysis of generalized finite differences and Lagrange finite elements J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200313
Rebecca Conley; Tristan J. Delaney; Xiangmin JiaoFinite differences, finite elements, and their generalizations are widely used for solving partial differential equations, and their highorder variants have respective advantages and disadvantages. Traditionally, these methods are treated as different (strong vs. weak) formulations and are analyzed using different techniques (Fourier analysis or Green’s functions vs. functional analysis), except for

Simulation of blood flow in a sudden expansion channel and a coronary artery J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200319
WeiTao Wu; Nadine Aubry; James F. Antaki; Mehrdad MassoudiIn this paper, we numerically simulate the flow of blood in two benchmark problems: the flow in a sudden expansion channel and the flow through an idealized curved coronary artery with pulsatile inlet velocity. Blood is modeled as a suspension (a nonlinear complex fluid) and the movement of the red blood cell (RBCs) is modeled by using a concentration flux equation. The viscosity of blood is obtained

Operator estimates for elliptic problem with rapidly alternating Steklov boundary condition J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200222
Aleksandra G. Chechkina; Ciro D’Apice; Umberto De MaioIn the paper we study boundaryvalue and spectral problems for the Laplacian operator in a domain with a smooth boundary. It is assumed that on a small part of the boundary there is a Dirichlet boundary condition and on all the rest boundary there is a Steklov condition. We study the behaviour of the initial problem when a small parameter defining the size of the Dirichlet parts of the boundary tends

Do bankspecific factors drive bank deposits in Ghana? J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200307
Yüksel Akay Ünvan; Ibrahim Nandom YakubuUsing the random effects technique, this paper examines the impact of bankspecific factors on the volume of bank deposits in Ghana for the period 2008 to 2017. Controlling for macroeconomic factors, the results show that profitability, bank size, and liquidity are significant determinants of bank deposit. Macroeconomic instability proxied by inflation also exerts a negative significant impact on bank

An interior point sequential quadratic programmingtype method for logdeterminant semiinfinite programs J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200212
Takayuki Okuno; Masao FukushimaIn this paper, we consider a nonlinear semiinfinite program that minimizes a function including a logdeterminant (logdet) function over positive definite matrix constraints and infinitely many convex inequality constraints. We call this problem SIPLOG, where SIP stands for SemiInfinite Program and LOG comes from LOGdet function. The main purpose of the paper is to develop an algorithm for efficiently

Representations and divergences in the space of probability measures and stochastic thermodynamics J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200307
Liu Hong; Hong Qian; Lowell F. ThompsonRadon–Nikodym (RN) derivative between two measures arises naturally in the affine structure of the space of probability measures with densities. Entropy, free energy, relative entropy, and entropy production as mathematical concepts associated with RN derivatives are introduced. We identify a simple equation that connects two measures with densities as a possible mathematical basis of the entropy balance

Equilibrium problem for elastic body with delaminated Tshape inclusion J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200319
Alexander Khludnev; Tatyana PopovaWe analyze an equilibrium problem for 2D elastic body with a Tshape thin inclusion in a presence of damage. A part of the inclusion is elastic, and the other part is a rigid one. A delamination of the inclusion from the elastic body is assumed, thus forming a crack between the elastic body and the inclusion. Nonlinear boundary conditions at the crack faces are considered to prevent a mutual penetration

The ShortleyWeller scheme for variable coefficient twopoint boundary value problems and its application to tumor growth problem with heterogeneous microenvironment J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200319
Mohyeedden Sweidan; Xiaojun Chen; Xiaoming ZhengThe first half of this work develops and analyzes the ShortleyWeller scheme (or GhostFluid method with quadratic extrapolation) for a twopoint boundary value problem with variable coefficients, where the boundary points are not on the uniform mesh. We prove that the local truncation error is first order convergent near the boundary, but the solution is third order accurate near the boundary and

Optimal rate convergence analysis of a second order scheme for a thin film model with slope selection J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200319
Shufen Wang; Wenbin Chen; Hanshuang Pan; Cheng WangIn this paper, an energy stable, secondorder mixed finite element scheme is proposed and analyzed for the thin film epitaxial growth model with slope selection. We employ secondorder backward differentiation formula (BDF) scheme with a secondorder stabilized term, which guarantees the long time energy stability to approximate the continuous model. In terms of the convergence analysis, the key difficulty

Corrigendum to “Mathematical analysis and numerical resolution of a heat transfer problem arising in water recirculation” [J. Comput. Appl. Math. 366 (2020) 112402] J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200319
Francisco J. Fernández; Lino J. AlvarezVázquez; Aurea MartínezThe authors found some errors in their above titled paper which should be corrected in this Corrigendum.

Numerical assessments of a parametric implicit large eddy simulation model J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200319
Romit Maulik; Omer SanThis study proposes a parametric implicit large eddy simulation (LES) strategy for the simulation of incompressible turbulence given by the Taylor–Green vortex. Our proposed scheme is derived from the dispersionrelationpreserving (DRP) philosophy to provide a specified numerical dissipation through a free modeling parameter. The specification of this dissipation control parameter represents a unique

A hybrid Legendre blockpulse method for mixed VolterraFredholm integral equations J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200319
R. Katani; S. MckeeMixed VolterraFredholm integral equations can arise from mathematical modelling of the spatiotemporal development of an epidemic. In this paper a hybrid Legendre blockpulse method is used to provide solutions to a general integral equation of this type. The main idea of this approach is to reduce a VolterraFredholm integral equation to a system of algebraic equations. An order convergence analysis

Convergence analysis of adaptive edge finite element method for variable coefficient timeharmonic Maxwell’s equations J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200316
Bin He; Wei Yang; Hao WangIn this paper, our main goal is to study the convergence analysis of adaptive edge finite element method (AEFEM) based on arbitrary order Nédélec edge elements for the variablecoefficient timeharmonic Maxwell’s equations, i.e., we prove that the AEFEM gives a contraction for the sum of the energy error and the error estimator, between two consecutive adaptive loops provided the initial mesh is fine

Detection of timevarying heat sources using an analytic forward model J. Comput. Appl. Math. (IF 1.883) Pub Date : 20200314
Janne P. TamminenWe present a simple, analytic point source model for both static and timevarying pointlike heat sources and the resulting temperature profile that solves the heat equation in dimension three. Simple algorithms to detect the location and spectral content of these sources are developed and numerically tested using Finite Element Mesh simulations. The resulting framework for heat source reconstruction