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ORCIDInternational Journal of Computer Mathematics, Volume 95
Volume 95, Number 1, 2018
Preface
- Qin Sheng, Yifa Tang, Bruce A. Wade, Yushun Wang:
Recent trends in highly accurate and structure-preserving numerical methods for partial differential equations. 1-2
- Jorge Eduardo Macías-Díaz
:
A modified exponential method that preserves structural properties of the solutions of the Burgers-Huxley equation. 3-19 - Hsueh-Chen Lee:
Adaptive weights for mass conservation in a least-squares finite element method. 20-35 - Jialing Wang, Yushun Wang, Dong Liang:
Analysis of a Fourier pseudo-spectral conservative scheme for the Klein-Gordon-Schrödinger equation. 36-60 - Zhenguo Mu, Haochen Li, Yushun Wang:
A novel energy-preserving scheme for the coupled nonlinear Schrödinger equations. 61-81 - Santosh Kumar, Paramjeet Singh:
High-order IMEX-WENO finite volume approximation for nonlinear age-structured population model. 82-97 - Yufeng Xu:
Quenching phenomenon in a fractional diffusion equation and its numerical simulation. 98-113 - Wenjun Cai, Yajuan Sun, Yushun Wang, Huai Zhang:
Local discontinuous Galerkin methods based on the multisymplectic formulation for two kinds of Hamiltonian PDEs. 114-143
- Hong-Lin Liao, Pin Lyu, Seakweng Vong:
Second-order BDF time approximation for Riesz space-fractional diffusion equations. 144-158
- Julius Osato Ehigie, Manman Zou, Xilin Hou, Xiong You:
On modified TDRKN methods for second-order systems of differential equations. 159-173 - Lizhen Chen, Gérard Labrosse:
Temporal dynamics of the march-in-time toward the steady solution of advection-diffusion systems. 174-186 - Yang Kuang, Guanghui Hu:
An adaptive FEM with ITP approach for steady Schrödinger equation. 187-201 - Sadia Arshad, Weiping Bu, Jianfei Huang, Yifa Tang, Yue Zhao:
Finite difference method for time-space linear and nonlinear fractional diffusion equations. 202-217 - Y. D. Zhang, Yanmin Zhao, Fenling Wang, Yifa Tang:
High-accuracy finite element method for 2D time fractional diffusion-wave equation on anisotropic meshes. 218-230 - Jingjun Zhao, Yu Li, Yang Xu:
Multiderivative extended Runge-Kutta-Nyström methods for multi-frequency oscillatory systems. 231-254 - Cui-Cui Ji, Rui Du, Zhi-Zhong Sun:
Stability and convergence of difference schemes for multi-dimensional parabolic equations with variable coefficients and mixed derivatives. 255-277
Volume 95, Number 2, 2018
- Xuanxuan Zhou, Luming Zhang:
A conservative compact difference scheme for the Zakharov equations in one space dimension. 279-302
- Duanmei Zhou, Jiu Ding:
Solving the Yang-Baxter-like matrix equation for nilpotent matrices of index three. 303-315 - Xinrong Cong, Longsuo Li:
Analysis on the stability of numerical schemes for a class of stochastic partial differential systems. 316-328 - Jianchao Bai, Jicheng Li, Junkai Deng:
A class of multilevel structured low-rank approximation arising in material processing. 329-340 - Jingtang Ma, Hongji Tang, Song-Ping Zhu:
Connection between trinomial trees and finite difference methods for option pricing with state-dependent switching rates. 341-360 - Rui Li, Jie Chen, Zhangxin Chen, Yali Gao:
A decoupled scheme with leap-frog multi-time step for non-stationary Stokes-Darcy system. 361-381 - Xiangrong Li, Xiaoliang Wang, Zhou Sheng, Xiabin Duan:
A modified conjugate gradient algorithm with backtracking line search technique for large-scale nonlinear equations. 382-395 - Zhengguang Liu, Aijie Cheng, Xiaoli Li:
A second-order finite difference scheme for quasilinear time fractional parabolic equation based on new fractional derivative. 396-411 - Qin Gao, Quanting Zhao, Minhong Chen:
On a modified Numerov's method for inverse Sturm-Liouville problems. 412-426 - Fatemeh Panjeh Ali Beik, Salman Ahmadi-Asl, Arezo Ameri:
On the iterative refinement of the solution of ill-conditioned linear system of equations. 427-443 - Z. van der Have, Cornelis W. Oosterlee:
The COS method for option valuation under the SABR dynamics. 444-464
Volume 95, Number 3, 2018
- Payel Das, Gnaneshwar Nelakanti, Guangqing Long:
Discrete Legendre spectral Galerkin method for Urysohn integral equations. 465-489
- Abhishek Das, Srinivasan Natesan:
Second-order uniformly convergent numerical method for singularly perturbed delay parabolic partial differential equations. 490-510 - Weisheng Zhao, Heping Zhang:
Upper bounds on the bondage number of the strong product of a graph and a tree. 511-527 - Fariba Rostami, Ahmad Jafarian:
A new artificial neural network structure for solving high-order linear fractional differential equations. 528-539 - Rongjun Cheng, Feng-Xin Sun, Jufeng Wang:
Meshless analysis of two-dimensional two-sided space-fractional wave equation based on improved moving least-squares approximation. 540-560 - Dang Van Hieu:
Two hybrid algorithms for solving split equilibrium problems. 561-583 - M. H. Rashid:
Convergence analysis of a variant of Newton-type method for generalized equations. 584-600 - R. C. Mittal, Sapna Pandit:
Sensitivity analysis of shock wave Burgers' equation via a novel algorithm based on scale-3 Haar wavelets. 601-625 - Bartosz Andreatto, Aleksandr Cariow:
Automatic generation of fast algorithms for matrix-vector multiplication. 626-644
Volume 95, Number 4, 2018
- Mostafa Zahri:
Barycentric interpolation of interface solution for solving stochastic partial differential equations on non-overlapping subdomains with additive multi-noises. 645-685
- Yun-Bo Yang, Yao-Lin Jiang:
Analysis of two decoupled time-stepping finite-element methods for incompressible fluids with microstructure. 686-709 - Haifeng Ma:
Acute perturbation bounds of weighted Moore-Penrose inverse. 710-720 - Mojtaba Nouri Bygi, Mohammad Ghodsi:
Weak visibility queries of line segments in simple polygons and polygonal domains. 721-738 - Li Dong, Jingyong Tang, Xinyu Song:
A non-monotone inexact non-interior continuation method based on a parametric smoothing function for LWCP. 739-751 - H. S. Shukla, Mohammad Tamsir, Ram Jiwari, Vineet K. Srivastava:
A numerical algorithm for computation modelling of 3D nonlinear wave equations based on exponential modified cubic B-spline differential quadrature method. 752-766 - Khosro Sayevand, K. Pichaghchi:
A novel operational matrix method for solving singularly perturbed boundary value problems of fractional multi-order. 767-796 - Kai Cao, Daniel Lesnic:
Reconstruction of the perfusion coefficient from temperature measurements using the conjugate gradient method. 797-814 - Mahboub Baccouch:
A posteriori local discontinuous Galerkin error estimates for the one-dimensional sine-Gordon equation. 815-844
Volume 95, Number 5, 2018
- Huali Zhao, Hongwei Liu:
Infeasible path-following interior point algorithm for Cartesian P*(κ) nonlinear complementarity problems over symmetric cones. 845-869 - Maziar Raissi, Padmanabhan Seshaiyer:
Application of local improvements to reduced-order models to sampling methods for nonlinear PDEs with noise. 870-880 - Salima Kouser, Shafiq ur Réhman, Fayyaz Ahmad, Stefano Serra-Capizzano, Malik Zaka Ullah, Ali Saleh Alshomrani, Hani M. Aljahdali, Shamshad Ahmad, Shahid Ahmad:
Generalized newton multi-step iterative methods GMNp, m for solving system of nonlinear equations. 881-897
- Sirilak Sriburadet, Bor-Wen Jeng, Cheng-Sheng Chien:
Efficient continuation methods for spin-1 Bose-Einstein condensates in a magnetic field. 898-919 - Janak Raj Sharma, Himani Arora:
Efficient higher order derivative-free multipoint methods with and without memory for systems of nonlinear equations. 920-938 - Yu Xiao, Mahmoud A. Eissa, Boping Tian:
Convergence and stability of split-step theta methods with variable step-size for stochastic pantograph differential equations. 939-960 - Feng Liao, Luming Zhang:
Numerical analysis of a conservative linear compact difference scheme for the coupled Schrödinger-Boussinesq equations. 961-978 - Jiyong Li, Ming Lu, Xuli Qi:
Trigonometrically fitted multi-step hybrid methods for oscillatory special second-order initial value problems. 979-997 - Xiaoyong Xu, Da Xu:
Legendre wavelets method for approximate solution of fractional-order differential equations under multi-point boundary conditions. 998-1014 - Qing Xue, Jing Niu, Dandan Yu, Cuiping Ran:
An improved reproducing kernel method for Fredholm integro-differential type two-point boundary value problems. 1015-1023 - Siraj-ul-Islam, Sakhi Zaman:
Numerical methods for multivariate highly oscillatory integrals. 1024-1046
Volume 95, Numbers 6-7, 2018
Preface
- Khaled M. Furati, Abdul Q. M. Khaliq, Changpin Li, Mohsen Zayernouri:
Preface. 1047
- Changpin Li, An Chen:
Numerical methods for fractional partial differential equations. 1048-1099
- Zivorad Tomovski, Trifce Sandev:
Distributed-order wave equations with composite time fractional derivative. 1100-1113 - Ye Hu, Changpin Li, Hefeng Li:
The finite difference method for Caputo-type parabolic equation with fractional Laplacian: more than one space dimension. 1114-1130 - Bo Yu, Xiaoyun Jiang, Haitao Qi:
Numerical method for the estimation of the fractional parameters in the fractional mobile/immobile advection-diffusion model. 1131-1150 - Yanzhi Liu, Jason Roberts, Yubin Yan:
A note on finite difference methods for nonlinear fractional differential equations with non-uniform meshes. 1151-1169 - Khosro Sayevand, Mohammadreza Rostami, H. S. Attari:
A new study on delay fractional variational problems. 1170-1194 - Yufeng Xu, Hai-Wei Sun, Qin Sheng:
On variational properties of balanced central fractional derivatives. 1195-1209 - X. Y. Li, B. Y. Wu:
Iterative reproducing kernel method for nonlinear variable-order space fractional diffusion equations. 1210-1221 - A. Abirami, P. Prakash, K. Thangavel:
Fractional diffusion equation-based image denoising model using CN-GL scheme. 1222-1239 - Khaled M. Furati, Muhammad S. Yousuf, A. Q. M. Khaliq:
Fourth-order methods for space fractional reaction-diffusion equations with non-smooth data. 1240-1256 - Maryam Naghibolhosseini, Glenis R. Long:
Fractional-order modelling and simulation of human ear. 1257-1273 - Olaniyi Samuel Iyiola, E. O. Asante-Asamani, Khaled M. Furati, A. Q. M. Khaliq, Bruce A. Wade:
Efficient time discretization scheme for nonlinear space fractional reaction-diffusion equations. 1274-1291 - Hu Chen, Tao Sun:
A Petrov-Galerkin spectral method for the linearized time fractional KdV equation. 1292-1307 - Shengyue Li, Zhaojie Zhou:
Legendre pseudo-spectral method for optimal control problem governed by a time-fractional diffusion equation. 1308-1325 - Sergiy Y. Reutskiy, Ji Lin:
A semi-analytic collocation method for space fractional parabolic PDE. 1326-1339 - Ehsan Kharazmi, Mohsen Zayernouri:
Fractional pseudo-spectral methods for distributed-order fractional PDEs. 1340-1361 - Angel Durán:
An efficient method to compute solitary wave solutions of fractional Korteweg-de Vries equations. 1362-1374 - Andreas Kleefeld, Sophia Vorderwülbecke, Bernhard Burgeth:
Anomalous diffusion, dilation, and erosion in image processing. 1375-1393 - Zongze Yang, Jungang Wang, Yan Li, Yufeng Nie:
Effective numerical treatment of sub-diffusion equation with non-smooth solution. 1394-1407 - Muhammad S. Yousuf:
A second-order efficient L-stable numerical method for space fractional reaction-diffusion equations. 1408-1422 - Xavier Antoine, Qinglin Tang, Jiwei Zhang:
On the numerical solution and dynamical laws of nonlinear fractional Schrödinger/Gross-Pitaevskii equations. 1423-1443 - Mohammed Alhorani, Roshdi Khalil:
Total fractional differentials with applications to exact fractional differential equations. 1444-1452
Volume 95, Number 8, 2018
- Shang Liu, Yanping Chen, Yunqing Huang, Jie Zhou:
Two-grid methods for miscible displacement problem by Galerkin methods and mixed finite-element methods. 1453-1477 - Leijie Qiao, Da Xu:
Orthogonal spline collocation scheme for the multi-term time-fractional diffusion equation. 1478-1493 - Dan Li, Detong Zhu:
An affine scaling interior trust-region method combining with nonmonotone line search filter technique for linear inequality constrained minimization. 1494-1526
- Wei Gao, Weifan Wang:
Analysis of k-partite ranking algorithm in area under the receiver operating characteristic curve criterion. 1527-1547 - Qasem M. Al-Mdallal, Mohammed Abdalla Al-Refai, Muhammed I. Syam, Moh'd Khier Al-Srihin:
Theoretical and computational perspectives on the eigenvalues of fourth-order fractional Sturm-Liouville problem. 1548-1564 - Ricardo Crisóstomo:
Speed and biases of Fourier-based pricing choices: a numerical analysis. 1565-1582 - Jialing Wang, Yushun Wang:
Numerical analysis of a new conservative scheme for the coupled nonlinear Schrödinger equations. 1583-1608 - Yulan Wang, Mingjing Du, Temuer Chaolu, Dan Tian:
Using reproducing kernel for solving a class of time-fractional telegraph equation with initial value conditions. 1609-1621 - Tushar Chourushi:
Computationally inexpensive and revised normalized weighting factor method for segregated solvers. 1622-1653 - Mir Sajjad Hashemi, E. Darvishi, M. Inc:
A geometric numerical integration method for solving the Volterra integro-differential equations. 1654-1665 - Xifu Liu:
Hermitian and non-negative definite reflexive and anti-reflexive solutions to AX=B. 1666-1671 - Lisha Wang, Wendi Qin, Xiaohua Ding:
Dissipativity of θ-methods for a class of advection-reaction-diffusion equations with both fixed and distributed delays. 1672-1687 - Yuan Wu, Jin Liang:
A new model and its numerical method to identify multi credit migration boundaries. 1688-1702 - Ke Su, Dan Yang:
A smooth Newton method with 3-1 piecewise NCP function for generalized nonlinear complementarity problem. 1703-1713
Volume 95, Number 9, 2018
- Qian Guo, Wei Liu, Xuerong Mao, Weijun Zhan:
Multi-level Monte Carlo methods with the truncated Euler-Maruyama scheme for stochastic differential equations. 1715-1726 - Sean Breckling, Monika Neda:
Numerical study of the Navier-Stokes-α deconvolution model with pointwise mass conservation. 1727-1760 - Dong-Yuh Yang, Ya-Dun Chang:
Sensitivity analysis of the machine repair problem with general repeated attempts. 1761-1774 - Ranjit Kumar Upadhyay, Sangeeta Kumari:
Bifurcation analysis of an e-epidemic model in wireless sensor network. 1775-1805 - Zhongdi Cen, Aimin Xu, Anbo Le:
A high-order finite difference scheme for a singularly perturbed fourth-order ordinary differential equation. 1806-1819 - Razika Boutrig, Mustapha Chellali:
Total vertex-edge domination. 1820-1828 - Jian Lu, Ke Qiao, Lixin Shen, Yuru Zou:
Fixed-point algorithms for a TVL1 image restoration model. 1829-1844 - Zhengguang Shi, Yanmin Zhao, Yifa Tang, Fenling Wang, Yanhua Shi:
Superconvergence analysis of an H1-Galerkin mixed finite element method for two-dimensional multi-term time fractional diffusion equations. 1845-1857 - Hadi Nosratipour, Omid Solaymani Fard, Akbar Hashemi Borzabadi:
Optimal control of viscous Burgers equation via an adaptive nonmonotone Barzilai-Borwein gradient method. 1858-1873 - Feng Liao, Luming Zhang:
Optimal error estimates of explicit finite difference schemes for the coupled Gross-Pitaevskii equations. 1874-1892 - Xiaoli Feng, Zhi Qian:
An a posteriori wavelet method for solving two kinds of ill-posed problems. 1893-1909
- C. Lakshmi, Ashish Awasthi:
Robust numerical scheme for nonlinear modified Burgers equation. 1910-1926
Volume 95, Number 10, 2018
- Dongyan Li, Xingyuan Wang, Penghe Huang:
A Max-Min ant colony algorithm for fractal dimension of complex networks. 1927-1936
- Suheil A. Khuri, Ali Sayfy:
Numerical solution of functional differential equations: a Green's function-based iterative approach. 1937-1949 - Hamid Esmaeili, Majid Rostami, Morteza Kimiaei:
Combining line search and trust-region methods for ℓ1-minimization. 1950-1972 - Mingxu Yi, Yunpeng Ma, Lifeng Wang:
An efficient method based on the second kind Chebyshev wavelets for solving variable-order fractional convection diffusion equations. 1973-1991 - Abdolali Neamaty, Shahrbanoo Akbarpoor, Emrah Yilmaz:
Solving inverse Sturm-Liouville problem with separated boundary conditions by using two different input data. 1992-2010 - Haixiang Zhang, Xuehua Yang:
The BDF orthogonal spline collocation method for the two-dimensional evolution equation with memory. 2011-2025 - Jiandong Zhao, Lisha Wang, Zhixia Han:
Stability analysis of two new SIRS models with two viruses. 2026-2035 - Chunyan Li, Qibin Fan:
Multiplicative noise removal via combining total variation and wavelet frame. 2036-2055 - Ruyun Chen, Xuesong Kuang, Zhi Li:
Numerical computation of infinite Bessel transforms with high frequency. 2056-2065 - Mehdi Dehghan, Mansour Safarpoor:
Application of the dual reciprocity boundary integral equation approach to solve fourth-order time-fractional partial differential equations. 2066-2081 - Zhongbo Sun, Hongyang Li, Jing Wang, Yantao Tian:
Two modified spectral conjugate gradient methods and their global convergence for unconstrained optimization. 2082-2099 - Gül Gözde Biçer, Yalçin Öztürk, Mustafa Gülsu:
Numerical approach for solving linear Fredholm integro-differential equation with piecewise intervals by Bernoulli polynomials. 2100-2111 - Xiaofeng Wang:
A family of Newton-type iterative methods using some special self-accelerating parameters. 2112-2127 - Mohammadreza Foroutan, Ali Ebadian, Raheleh Asadi:
Reproducing kernel method in Hilbert spaces for solving the linear and nonlinear four-point boundary value problems. 2128-2142
Volume 95, Number 11, 2018
- Krzysztof Gawryluk, Tomasz Karpiuk, Mariusz Gajda, Kazimierz Rzazewski, Miroslaw Brewczyk:
Unified way for computing dynamics of Bose-Einstein condensates and degenerate Fermi gases. 2143-2161 - Feifei Liu, Yulan Wang, Shuguang Li:
Barycentric interpolation collocation method for solving the coupled viscous Burgers' equations. 2162-2173
- Min Surp Rhee, Young Ik Kim, Beny Neta:
An optimal eighth-order class of three-step weighted Newton's methods and their dynamics behind the purely imaginary extraneous fixed points. 2174-2211 - Yigui Ou, Xin Zhou:
A nonmonotone scaled conjugate gradient algorithm for large-scale unconstrained optimization. 2212-2228 - Zdenek Dostál, Lukás Pospísil:
Conjugate gradients for symmetric positive semidefinite least-squares problems. 2229-2239 - Shuhuang Xiang, Bin Li, Guidong Liu:
On efficient computation of highly oscillatory retarded potential integral equations. 2240-2255 - Zhenping Li, C. Xu, M. Lan, Z. Qian:
A mollification method for a Cauchy problem for the Helmholtz equation. 2256-2268 - Julio B. Clempner, Alexander S. Poznyak:
Using the Manhattan distance for computing the multiobjective Markov chains problem. 2269-2286 - Esmail Hesameddini, Mehdi Shahbazi:
Hybrid Bernstein Block-Pulse functions for solving system of fractional integro-differential equations. 2287-2307 - Shafiullah Khan, M. Kamran, Obaid Ur Rehman, Lei Liu, Shiyou Yang:
A modified PSO algorithm with dynamic parameters for solving complex engineering design problem. 2308-2329 - Mohd. Junaid Siddiqui, Rajan Arora, V. P. Singh:
Propagation of non-linear waves in a non-ideal relaxing gas. 2330-2342 - Mohan K. Kadalbajoo, Alpesh Kumar, Lok Pati Tripathi:
Radial-basis-function-based finite difference operator splitting method for pricing American options. 2343-2359
Volume 95, Number 12, 2018
- Editors' Report. 2361-2362
- Wei Zhang, M. H. Song, M. Z. Liu:
Strong convergence of the truncated Euler-Maruyama method for stochastic functional differential equations. 2363-2387 - Zepeng Li, Jin Xu:
On the trees with same signed edge and signed star domination numbers. 2388-2395 - Fakhrodin Mohammadi:
An efficient fractional-order wavelet method for fractional Volterra integro-differential equations. 2396-2418 - Chengjian Zhang, Wansheng Wang, Bochao Liu, Tingting Qin:
A multi-domain Legendre spectral collocation method for nonlinear neutral equations with piecewise continuous argument. 2419-2432 - Junying Cao, Lizhen Chen, Ziqiang Wang:
A high-order numerical scheme for the impulsive fractional ordinary differential equations. 2433-2457 - Maohua Ran, Yu He:
Linearized Crank-Nicolson method for solving the nonlinear fractional diffusion equation with multi-delay. 2458-2470 - Songqiang Qiu, Zhongwen Chen:
A central path interior point method for nonlinear programming and its local convergence. 2471-2495 - Gengen Zhang, Aiguo Xiao, Jie Zhou:
Implicit-explicit multistep finite-element methods for nonlinear convection-diffusion-reaction equations with time delay. 2496-2510 - Xiuyan Li, Chiping Zhang, Qiang Ma, Xiaohua Ding:
Discrete gradient methods and linear projection methods for preserving a conserved quantity of stochastic differential equations. 2511-2524 - Mingzhu Li, Qiang Ma, Xiaohua Ding:
A compact ADI Crank-Nicolson difference scheme for the two-dimensional time fractional subdiffusion equation. 2525-2538 - Yingxiang Xu, Li Yang:
Optimization of a parameterized inexact Uzawa method for saddle point problems. 2539-2548 - Yanying Ma, Jin Huang, Changqing Wang:
Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method. 2549-2568
- Acknowledgement. 2569-2573
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