Advances in Applied Mathematics and Mechanics Short Title: Adv. Appl. Math. Mech. Publisher: Global Science Press, Hong Kong ISSN: 2070-0733 Online: https://www.global-sci.org/aamm/periodical_list.htmlhttps://www.cambridge.org/core/journals/advances-in-applied-mathematics-and-mechanics Comments: Journal; Indexed cover-to-cover Documents Indexed: 715 Publications (since 2009) References Indexed: 572 Publications with 19,884 References. all top 5 Latest Issues 15, No. 5 (2023) 15, No. 4 (2023) 15, No. 3 (2023) 15, No. 2 (2023) 15, No. 1 (2023) 14, No. 6 (2022) 14, No. 5 (2022) 14, No. 4 (2022) 14, No. 3 (2022) 14, No. 2 (2022) 14, No. 1 (2022) 13, No. 6 (2021) 13, No. 5 (2021) 13, No. 4 (2021) 13, No. 3 (2021) 13, No. 2 (2021) 13, No. 1 (2021) 12, No. 6 (2020) 12, No. 5 (2020) 12, No. 4 (2020) 12, No. 3 (2020) 12, No. 2 (2020) 12, No. 1 (2020) 11, No. 6 (2019) 11, No. 5 (2019) 11, No. 4 (2019) 11, No. 3 (2019) 11, No. 2 (2019) 11, No. 1 (2019) 10, No. 6 (2018) 10, No. 5 (2018) 10, No. 4 (2018) 10, No. 3 (2018) 10, No. 2 (2018) 10, No. 1 (2018) 9, No. 6 (2017) 9, No. 5 (2017) 9, No. 4 (2017) 9, No. 3 (2017) 9, No. 2 (2017) 9, No. 1 (2017) 8, No. 6 (2016) 8, No. 5 (2016) 8, No. 4 (2016) 8, No. 3 (2016) 8, No. 2 (2016) 8, No. 1 (2016) 7, No. 6 (2015) 7, No. 5 (2015) 7, No. 4 (2015) 7, No. 3 (2015) 7, No. 2 (2015) 7, No. 1 (2015) 6, No. 6 (2014) 6, No. 5 (2014) 6, No. 4 (2014) 6, No. 3 (2014) 6, No. 2 (2014) 6, No. 1 (2014) 5, No. 6 (2013) 5, No. 5 (2013) 5, No. 4 (2013) 5, No. 3 (2013) 5, No. 2 (2013) 5, No. 1 (2013) 4, No. 6 (2012) 4, No. 5 (2012) 4, No. 4 (2012) 4, No. 3 (2012) 4, No. 2 (2012) 4, No. 1 (2012) 3, No. 6 (2011) 3, No. 5 (2011) 3, No. 4 (2011) 3, No. 2 (2011) 3, No. 1 (2011) 2, No. 6 (2010) 2, No. 5 (2010) 2, No. 3 (2010) 2, No. 2 (2010) 2, No. 1 (2010) 1, No. 6 (2009) 1, No. 5 (2009) 1, No. 4 (2009) 1, No. 3 (2009) 1, No. 2 (2009) 1, No. 1 (2009) all top 5 Authors 26 Chen, Yanping 16 Huang, Yunqing 11 Shu, Shi 10 Chen, Wen 10 Deng, Xiaogang 10 Song, Songhe 9 Lin, Ji 8 Gu, Yan 7 He, Yinnian 7 Liu, Huayong 7 Lu, Zhiliang 7 Mao, Meiliang 7 Niu, Xiaodong 7 Shu, Chang 7 Wang, Yushun 7 Yao, Changhui 6 Chen, Yaming 6 Fu, Zhuojia 6 Guo, Tongqing 6 Xiao, Aiguo 6 Zhang, Shangyou 6 Zhao, Ning 5 Chen, Chuanmiao 5 Dou, Huashu 5 Feng, Minfu 5 Hou, Songming 5 Jiang, Yi 5 Li, Ruo 5 Liu, Hongliang 5 Liu, Tiegang 5 Lu, Xiyun 5 Shi, Dongyang 5 Wu, Jie 5 Yang, Liming 5 Zhou, Chunhua 5 Zhu, Jun 4 Chen, Luoping 4 Karageorghis, Andreas 4 Li, Changfeng 4 Li, Jichun 4 Lu, Changgen 4 Lu, Zuliang 4 Qian, Xu 4 Seaïd, Mohammed 4 Shen, Luyu 4 Sheng, Zhiqiang 4 Shi, Liwei 4 Si, Zhiyong 4 Wang, Liqun 4 Xie, Xiaoping 4 Yang, Wei 4 Yang, Yin 4 Yuan, Yirang 4 Zhang, Kai 4 Zhang, Tong 4 Zhao, Weidong 4 Zhu, Huajun 3 Abouelregal, Ahmed E. 3 An, Rong 3 Benkhaldoun, Fayssal 3 Bürger, Raimund 3 Cai, Wenjun 3 Chai, Zhenhua 3 Chen, Ching-Shyang 3 Chronik, Blaine A. 3 Dong, Yidao 3 Fan, Chia-Ming 3 Gao, Zhen 3 Hu, Guanghui 3 Huang, Fenglin 3 Huang, Qiumei 3 Jia, Hongen 3 Jin, Jicheng 3 Khoo, Boo Cheong 3 Lesnic, Daniel 3 Li, Gang 3 Li, Haochen 3 Li, Yonghai 3 Li, Youai 3 Liang, Dong 3 Liao, Shijun 3 Ling, Leevan 3 Liu, Liping 3 Liu, Nansheng 3 Lu, Hongqiang 3 Lu, Jun 3 Ma, Wen-Xiu 3 Nie, Yufeng 3 Qian, Shouguo 3 Sakhr, Jamal 3 Shang, Yueqiang 3 Shi, Baochang 3 Shi, Xiulian 3 Song, Huailing 3 Sun, Qiang 3 Wang, Guangxue 3 Wang, Jianyun 3 Wang, Pei 3 Wu, Chuijie 3 Xiao, Zuoli ...and 1,349 more Authors all top 5 Fields 515 Numerical analysis (65-XX) 319 Partial differential equations (35-XX) 240 Fluid mechanics (76-XX) 118 Mechanics of deformable solids (74-XX) 34 Optics, electromagnetic theory (78-XX) 30 Calculus of variations and optimal control; optimization (49-XX) 28 Classical thermodynamics, heat transfer (80-XX) 26 Real functions (26-XX) 25 Ordinary differential equations (34-XX) 23 Integral equations (45-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Approximations and expansions (41-XX) 18 Probability theory and stochastic processes (60-XX) 17 Statistical mechanics, structure of matter (82-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 14 Mechanics of particles and systems (70-XX) 13 Operations research, mathematical programming (90-XX) 13 Biology and other natural sciences (92-XX) 11 Geophysics (86-XX) 8 Computer science (68-XX) 6 Integral transforms, operational calculus (44-XX) 6 Statistics (62-XX) 6 Quantum theory (81-XX) 6 Systems theory; control (93-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Special functions (33-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Operator theory (47-XX) 5 Information and communication theory, circuits (94-XX) 4 Potential theory (31-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 2 Astronomy and astrophysics (85-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX) 1 Mathematics education (97-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 426 Publications have been cited 1,771 times in 1,494 Documents Cited by ▼ Year ▼ Finite difference/element method for a two-dimensional modified fractional diffusion equation. Zbl 1262.65108Zhang, Na; Deng, Weihua; Wu, Yujiang 68 2012 Simulation of seismic wave scattering by embedded cavities in an elastic half-plane using the novel singular boundary method. Zbl 1488.65719Lin, Ji; Zhang, Chuanzeng; Sun, Linlin; Lu, Jun 65 2018 An improved formulation of singular boundary method. Zbl 1262.65157Chen, Wen; Gu, Yan 38 2012 Convergence analysis of the spectral methods for weakly singular Volterra integro-differential equations with smooth solutions. Zbl 1262.45005Wei, Yunxia; Chen, Yanping 37 2012 Solutions of fractional partial differential equations of quantum mechanics. Zbl 1288.35486Purohit, S. D. 32 2013 Solution of two-dimensional Stokes flow problems using improved singular boundary method. Zbl 1488.76036Qu, Wenzhen; Chen, Wen 26 2015 A regularized singular boundary method for inverse Cauchy problem in three-dimensional elastostatics. Zbl 1488.65590Zhang, Aixia; Gu, Yan; Hua, Qingsong; Chen, Wen 25 2018 Compact finite difference scheme for the fourth-order fractional subdiffusion system. Zbl 1305.65190Vong, Seakweng; Wang, Zhibo 24 2014 Integrating Krylov deferred correction and generalized finite difference methods for dynamic simulations of wave propagation phenomena in long-time intervals. Zbl 1488.65278Qu, Wenzhen; Gao, Hongwei; Gu, Yan 23 2021 A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji 22 2020 Two-dimensional Legendre wavelets for solving time-fractional telegraph equation. Zbl 1308.65172Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F. 22 2014 On the full \(C_1\)-\(Q_k\) finite element spaces on rectangles and cuboids. Zbl 1262.65134Zhang, Shangyou 19 2010 Analysis of two-grid methods for nonlinear parabolic equations by expanded mixed finite element methods. Zbl 1262.65167Chen, Yanping; Luan, Peng; Lu, Zuliang 18 2009 Singular boundary method to simulate scattering of SH wave by the canyon topography. Zbl 1488.65723Tang, Zhuochao; Fu, Zhuojia; Zheng, Dongjian; Huang, Jundong 18 2018 Fractional integro-differential equations involving \(\psi\)-Hilfer fractional derivative. Zbl 1488.45022Abdo, Mohammed S.; Panchal, Satish K. 18 2019 Error estimate of a second order accurate scalar auxiliary variable (SAV) numerical method for the epitaxial thin film equation. Zbl 1488.65363Cheng, Qing; Wang, Cheng 18 2021 Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia 18 2021 Convergence analysis of Legendre-collocation methods for nonlinear Volterra type integro equations. Zbl 1488.65764Yang, Yin; Chen, Yanping; Huang, Yunqing; Yang, Wei 17 2015 A posteriori error estimates of triangular mixed finite element methods for semilinear optimal control problems. Zbl 1262.49009Lu, Zuliang; Chen, Yanping 16 2009 Convergent overdetermined-RBF-MLPG for solving second order elliptic PDEs. Zbl 1262.35096Shirzadi, Ahmad; Ling, Leevan 14 2013 Uniform convergence analysis of a higher order hybrid stress quadrilateral finite element method for linear elasticity problems. Zbl 1488.65605Bai, Yanhong; Wu, Yongke; Xie, Xiaoping 13 2016 The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013Chen, Wen; Lin, Ji; Chen, C. S. 12 2013 A revisit on the derivation of the particular solution for the differential operator \(\Delta^2 \pm \lambda^2\). Zbl 1262.35086Yao, Guangming; Chen, C. S.; Tsai, Chia Cheng 12 2009 Three boundary meshless methods for heat conduction analysis in nonlinear fgms with Kirchhoff and Laplace transformation. Zbl 1262.65137Fu, Zhuojia; Chen, Wen; Qin, Qinghua 12 2012 A comparison and unification of ellipsoidal statistical and Shakhov BGK models. Zbl 1488.65532Chen, Songze; Kun, Xu; Qingdong, Cai 12 2015 High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics. Zbl 1488.65238Duan, Junming; Tang, Huazhong 12 2020 An error analysis for the finite element approximation to the steady-state Poisson-Nernst-Planck equations. Zbl 1262.65182Yang, Ying; Lu, Benzhuo 11 2013 A simplified lattice Boltzmann method without evolution of distribution function. Zbl 1488.76102Chen, Z.; Shu, C.; Wang, Y.; Yang, L. M.; Tan, D. 11 2017 1D exact elastic-perfectly plastic solid Riemann solver and its multi-material application. Zbl 1488.74142Gao, Si; Liu, Tiegang 11 2017 A convex-splitting scheme for a diffuse interface model with Peng-Robinson equation of state. Zbl 1488.65274Peng, Qiujin 11 2017 Convergence accelerating in the homotopy analysis method: a new approach. Zbl 1488.65214Turkyilmazoglu, M. 11 2018 Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. Zbl 1488.35466Qin, Chun-Yan; Tian, Shou-Fu; Zou, Li; Ma, Wen-Xiu 11 2018 Recent advances and emerging applications of the singular boundary method for large-scale and high-frequency computational acoustics. Zbl 1499.65721Li, Junpu; Fu, Zhuojia; Gu, Yan; Qin, Qing-Hua 11 2022 On convergence of a least-squares Kansa’s method for the modified Helmholtz equations. Zbl 1262.35093Kwok, Ting-On; Ling, Leevan 10 2009 Analysis and numerical approximation of an electro-elastic frictional contact problem. Zbl 1262.74017Essoufi, El-H.; Benkhira, El-H.; Fakhar, R. 10 2010 Numerical method for the time fractional Fokker-Planck equation. Zbl 1262.65087Cao, Xue-Nian; Fu, Jiang-Li; Huang, Hu 10 2012 Time-domain numerical solutions of Maxwell interface problems with discontinuous electromagnetic waves. Zbl 1488.65318Zhang, Ya; Nguyen, Duc Duy; Du, Kewei; Xu, Jin; Zhao, Shan 10 2016 A dual-level method of fundamental solutions in conjunction with kernel-independent fast multipole method for large-scale isotropic heat conduction problems. Zbl 1488.65718Li, Junpu; Fu, Zhuojia; Chen, Wen; Liu, Xiaoting 10 2019 Fluid-structure interaction in microchannel using lattice Boltzmann method and size-dependent beam element. Zbl 1305.74030Esfahanian, V.; Dehdashti, E.; Dehrouyeh-Semnani, A. M. 10 2014 A posteriori error estimation for an interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma. Zbl 1262.65173Li, Jichun 9 2009 Multi-symplectic wavelet collocation method for Maxwell’s equations. Zbl 1262.37034Zhu, Huajun; Song, Songhe; Chen, Yaming 9 2011 Some weighted averaging methods for gradient recovery. Zbl 1262.65154Huang, Yunqing; Jiang, Kai; Yi, Nianyu 9 2012 Two-level Newton iteration methods for Navier-Stokes type variational inequality problem. Zbl 1262.65163An, Rong; Qiu, Hailong 9 2013 A sharp interface method for compressible multi-phase flows based on the cut cell and ghost fluid methods. Zbl 1488.65326Bai, Xiao; Deng, Xiaolong 9 2017 Spectral-collocation method for Volterra delay integro-differential equations with weakly singular kernels. Zbl 1488.65758Shi, Xiulian; Chen, Yanping 9 2016 On a large time-stepping method for the Swift-Hohenberg equation. Zbl 1488.65319Zhang, Zhengru; Ma, Yuanzi 9 2016 Non-convex and convex coupling image segmentation via TGpV regularization and thresholding. Zbl 1488.94042Wu, Tingting; Shao, Jinbo 9 2020 The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188Karageorghis, A.; Lesnic, Daniel 8 2010 A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno 8 2011 A hybrid lattice Boltzmann flux solver for simulation of viscous compressible flows. Zbl 1488.76096Yang, L. M.; Shu, C.; Wu, J. 8 2016 Two-grid discretization scheme for nonlinear reaction diffusion equation by mixed finite element methods. Zbl 1314.65126Chen, Luoping; Chen, Yanping 8 2014 The Crank-Nicolson Hermite cubic orthogonal spline collocation method for the heat equation with nonlocal boundary conditions. Zbl 1279.80005Bialecki, B.; Fairweather, G.; López-Marcos, J. C. 7 2013 On the boundary integral equations for a two-dimensional slowly rotating highly viscous fluid flow. Zbl 1262.31006Lesnic, D. 7 2009 Superconvergence of rectangular mixed finite element methods for constrained optimal control problem. Zbl 1262.49007Chen, Yanping; Dai, Li; Lu, Zuliang 7 2010 A free streaming contact preserving scheme for the \(M_1\) model. Zbl 1262.65097Berthon, C.; Dubois, J.; Dubroca, B.; Nguyen-Bui, T.-H.; Turpault, R. 7 2010 A modified nonconforming 5-node quadrilateral transition finite element. Zbl 1262.65153Huang, Feiteng; Xie, Xiaoping 7 2010 A maximum entropy method based on orthogonal polynomials for Frobenius-Perron operators. Zbl 1262.41013Ding, Jiu; Rhee, Noah H. 7 2011 Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Zbl 1262.35187Chen, Huajie; Gong, Xingao; He, Lianhua; Zhou, Aihui 7 2011 Lower bounds for eigenvalues of the Stokes operator. Zbl 1262.65171Hu, Jun; Huang, Yunqing 7 2013 Two-grid finite-element method for the two-dimensional time-dependent Schrödinger equation. Zbl 1262.65183Zhang, Hongmei; Jin, Jicheng; Wang, Jianyun 7 2013 A new family of difference schemes for space fractional advection diffusion equation. Zbl 1499.65611Li, Can; Deng, Weihua 7 2017 Hamiltonian boundary value method for the nonlinear Schrödinger equation and the Korteweg-de Vries equation. Zbl 1488.65518Song, Mingzhan; Qian, Xu; Zhang, Hong; Song, Songhe 7 2017 Analysis of mathematics and numerical pattern formation in superdiffusive fractional multicomponent system. Zbl 1488.65272Owolabi, Kolade M.; Atangana, Abdon 7 2017 Superconvergence analysis of bilinear finite element for the nonlinear Schrödinger equation on the rectangular mesh. Zbl 1488.65459Tian, Zhikun; Chen, Yanping; Wang, Jianyun 7 2018 Two-grid finite volume element method combined with Crank-Nicolson scheme for semilinear parabolic equations. Zbl 1488.65351Lou, Yuzhi; Chen, Chuanjun; Xue, Guanyu 7 2021 A spectral time-domain method for computational electrodynamics. Zbl 1262.65140Lambers, James V. 6 2009 Mathematical development and verification of a finite volume model for morphodynamic flow applications. Zbl 1262.65110Benkhaldoun, Fayssal; Seaid, Mohammed; Sahmim, Slah 6 2011 Hydrodynamic regimes, Knudsen layer, numerical schemes: definition of boundary fluxes. Zbl 1262.65111Besse, Christophe; Borghol, Saja; Goudon, Thierry; Lacroix-Violet, Ingrid; Dudon, Jean-Paul 6 2011 Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188Imperiale, Sébastien; Joly, Patrick 6 2012 A fast high order iterative solver for the electromagnetic scattering by open cavities filled with the inhomogeneous media. Zbl 1262.65147Zhao, Meiling 6 2013 Implementation of multi-GPU based lattice Boltzmann method for flow through porous media. Zbl 1488.76103Huang, Changsheng; Shi, Baochang; He, Nanzhong; Chai, Zhenhua 6 2015 Analysis of an implicit fully discrete local discontinuous Galerkin method for the time-fractional KdV equation. Zbl 1488.65473Wei, Leilei; He, Yinnian; Zhang, Xindong 6 2015 Nonconforming finite element method for the transmission eigenvalue problem. Zbl 1490.65253Ji, Xia; Xi, Yingxia; Xie, Hehu 6 2017 A numerical method on Eulerian grids for two-phase compressible flow. Zbl 1488.65340Guo, Yonghui; Li, Ruo; Yao, Chengbao 6 2016 Improved symmetry property of high order weighted essentially non-oscillatory finite difference schemes for hyperbolic conservation laws. Zbl 1488.65237Don, Wai Sun; Li, Peng; Wong, Kwun Ying; Gao, Zhen 6 2018 Jacobi spectral collocation method based on Lagrange interpolation polynomials for solving nonlinear fractional integro-differential equations. Zbl 1488.65763Yang, Xingfa; Yang, Yin; Chen, Yanping; Liu, Jie 6 2018 An adaptive finite element solver for demagnetization field calculation. Zbl 1488.65665Yang, Lei; Hu, Guanghui 6 2019 A two-level factored Crank-Nicolson method for two-dimensional nonstationary advection-diffusion equation with time dependent dispersion coefficients and source terms. Zbl 1488.65270Ngondiep, Eric 6 2021 Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media. Zbl 1279.78017Huang, Yunqing; Li, Jichun; Lin, Yanping 5 2013 Iterative method for solving a problem with mixed boundary conditions for biharmonic equation. Zbl 1262.65192Dang Quang A; Le Tung Son 5 2009 Finite element \(\theta\)-schemes for the acoustic wave equation. Zbl 1262.65131Karaa, Samir 5 2011 Convergence of linear multistep methods and one-leg methods for index-2 differential-algebraic equations with a variable delay. Zbl 1262.65093Liu, Hongliang; Xiao, Aiguo 5 2012 A posteriori error estimates of a combined mixed finite element and discontinuous Galerkin method for a kind of compressible miscible displacement problems. Zbl 1262.65117Yang, Jiming; Xiong, Zhiguang 5 2013 Asymptotic analysis of a Bingham fluid in a thin domain with Fourier and Tresca boundary conditions. Zbl 1488.35633Dilmi, M.; Benseridi, H.; Saadallah, A. 5 2014 Numerical solution of Euler-Lagrange equation with Caputo derivatives. Zbl 1499.65742Blaszczyk, Tomasz; Ciesielski, Mariusz 5 2017 A new two-grid method for expanded mixed finite element solution of nonlinear reaction diffusion equations. Zbl 1488.65438Liu, Shang; Chen, Yanping 5 2017 Numerical simulation for the variable-order fractional Schrödinger equation with the quantum Riesz-Feller derivative. Zbl 1488.65289Sweilam, N. H.; Hasan, M. M. Abou 5 2017 An inverse source problem with sparsity constraint for the time-fractional diffusion equation. Zbl 1488.65383Ruan, Zhousheng; Yang, Zhijian; Lu, Xiliang 5 2016 A comparative study of finite element and finite difference methods for two-dimensional space-fractional advection-dispersion equation. Zbl 1499.65517Pang, Guofei; Chen, Wen; Sze, Kam Yim 5 2016 Strong convergence analysis of split-step \(\theta\)-scheme for nonlinear stochastic differential equations with jumps. Zbl 1488.65016Yang, Xu; Zhao, Weidong 5 2016 An extrapolation cascadic multigrid method for elliptic problems on reentrant domains. Zbl 1488.65708Pan, Kejia; He, Dongdong; Chen, Chuanmiao 5 2017 Immersed finite element method for eigenvalue problems in elasticity. Zbl 1488.65634Lee, Seungwoo; Kwak, Do Young; Sim, Imbo 5 2018 A posteriori error estimates of the Galerkin spectral methods for space-time fractional diffusion equations. Zbl 1488.65521Wang, Huasheng; Chen, Yanping; Huang, Yunqing; Mao, Wenting 5 2020 An energy-stable finite element method for incompressible magnetohydrodynamic-Cahn-Hilliard coupled model. Zbl 1488.65489Zhao, Jianping; Chen, Rui; Su, Haiyan 5 2021 A second-order energy stable BDF numerical scheme for the viscous Cahn-Hilliard equation with logarithmic Flory-Huggins potential. Zbl 1488.65463Wang, Danxia; Wang, Xingxing; Jia, Hongen 5 2021 A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Zbl 1288.90009Bürger, Raimund; Mulet, Pep; Villada, Luis M. 5 2013 Conservative and finite volume methods for the convection-dominated pricing problem. Zbl 1305.65195Ramírez-Espinoza, Germán I.; Ehrhardt, Matthias 5 2013 A solver for Helmholtz system generated by the discretization of wave shape functions. Zbl 1305.65115Yuan, Long; Hu, Qiya 5 2013 Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers. Zbl 1305.78016Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song 5 2014 A new conservative Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymers and its numerical approximations. Zbl 1499.65389Geng, Shuang; Li, Tongmao; Ye, Qiongwei; Yang, Xiaofeng 5 2022 An extension of the order-preserving mapping to the WENO-Z-type schemes. Zbl 1513.65293Li, Ruo; Zhong, Wei 2 2023 Extremum-preserving correction of the nine-point scheme for diffusion equation on distorted meshes. Zbl 1513.65450Kong, Wang; Hong, Zhenying; Yuan, Guangwei; Sheng, Zhiqiang 2 2023 Arbitrarily high-order energy-preserving schemes for the Camassa-Holm equation based on the quadratic auxiliary variable approach. Zbl 07708723Gong, Yuezheng; Hong, Qi; Wang, Chunwu; Wang, Yushun 1 2023 A well-balanced FVC scheme for 2D shallow water flows on unstructured triangular meshes. Zbl 07708727Ziggaf, Moussa; Kissami, Imad; Boubekeur, Mohamed; Benkhaldoun, Fayssal 1 2023 Fourth-order structure-preserving method for the conservative Allen-Cahn equation. Zbl 1513.65435Chen, Xiaowei; Qian, Xu; Song, Songhe 1 2023 Localized method of fundamental solutions for acoustic analysis inside a car cavity with sound-absorbing material. Zbl 1513.65494Chen, Zengtao; Wang, Fajie 1 2023 Avoiding small denominator problems by means of the homotopy analysis method. Zbl 07646146Liao, Shijun 1 2023 Radially symmetrical problems for compressible fluids with a high-resolution boundary condition. Zbl 1513.65330Zhu, Zijin; Hu, Xiaoyan; Ni, Guoxi 1 2023 Recent advances and emerging applications of the singular boundary method for large-scale and high-frequency computational acoustics. Zbl 1499.65721Li, Junpu; Fu, Zhuojia; Gu, Yan; Qin, Qing-Hua 11 2022 A new conservative Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymers and its numerical approximations. Zbl 1499.65389Geng, Shuang; Li, Tongmao; Ye, Qiongwei; Yang, Xiaofeng 5 2022 A second order accurate in time, energy stable finite element scheme for the Flory-Huggins-Cahn-Hilliard equation. Zbl 1513.35293Yuan, Maoqin; Chen, Wenbin; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru 4 2022 Convergence analysis and error estimate for distributed optimal control problems governed by Stokes equations with velocity-constraint. Zbl 1499.49013Ge, Liang; Niu, Haifeng; Zhou, Jianwei 4 2022 Exponential time differencing schemes for the Peng-Robinson equation of state with preservation of maximum bound principle. Zbl 1499.65464Huang, Qiumei; Jiang, Kun; Li, Jingwei 3 2022 Domain-decomposition localized method of fundamental solutions for large-scale heat conduction in anisotropic layered materials. Zbl 1499.65722Liu, Shuainan; Fu, Zhuojia; Gu, Yan 2 2022 Lattice Boltzmann model for time-fractional nonlinear wave equations. Zbl 1499.65591Wang, Yibo; Du, Rui; Chai, Zhenhua 2 2022 High order efficient algorithm for computation of MHD flow ensembles. Zbl 1513.65377Mohebujjaman, Muhammad 2 2022 An energy stable SPH method for incompressible fluid flow. Zbl 1513.65429Zhu, Xingyu; Sun, Shuyu; Kou, Jisheng 2 2022 Numerical methods for semilinear fractional diffusion equations with time delay. Zbl 1499.65446Yang, Shuiping; Liu, Yubin; Liu, Hongyu; Wang, Chao 2 2022 Finite element method coupling penalty method for flexural shell model. Zbl 1499.65681Shen, Xiaoqin; Xue, Yongjie; Yang, Qian; Zhu, Shengfeng 2 2022 A well-balanced Runge-Kutta discontinuous Galerkin method for multilayer shallow water equations with non-flat bottom topography. Zbl 1499.65496Izem, Nouh; Seaid, Mohammed 1 2022 Ultra-chaos: an insurmountable objective obstacle of reproducibility and replication. Zbl 1499.35445Liao, Shijun; Qin, Shijie 1 2022 Inverse scattering transform and soliton solutions for the Hirota equation with \(N\) distinct arbitrary order poles. Zbl 1499.35162Zhang, Xiaofan; Tian, Shoufu; Yang, Jinjie 1 2022 Image segmentation via Fischer-Burmeister total variation and thresholding. Zbl 1499.94015Wu, Tingting; Zhao, Yichen; Mao, Zhihui; Shi, Li; Li, Zhi; Zeng, Yonghua 1 2022 Waves induced by the appearance of single-point heat source in constant flow. Zbl 1499.35426Yu, Changsheng; Liu, Tiegang; Feng, Chengliang 1 2022 Positive and conservative characteristic block-centered finite difference methods for convection dominated diffusion equations. Zbl 1513.65296Li, Xinshu; Fu, Kai 1 2022 Solving PDEs with a hybrid radial basis function: power-generalized multiquadric kernel. Zbl 1513.65486Senel, Cem Berk; van Beeck, Jeroen; Altinkaynak, Atakan 1 2022 Stability and convergence of the canonical Euler splitting method for nonlinear composite stiff functional differential-algebraic equations. Zbl 1513.65209Liu, Hongliang; Zhang, Yameng; Li, Haodong; Li, Shoufu 1 2022 A stabilizer-free weak Galerkin finite element method for the Stokes equations. Zbl 1499.65657Feng, Yue; Liu, Yujie; Wang, Ruishu; Zhang, Shangyou 1 2022 A fifth order alternative mapped WENO scheme for nonlinear hyperbolic conservation laws. Zbl 1499.65462Rajput, Uttam Singh; Singh, Krishna Mohan 1 2022 Semi-discrete and fully discrete mixed finite element methods for Maxwell viscoelastic model of wave propagation. Zbl 1499.65544Yuan, Hao; Xie, Xiaoping 1 2022 A modified characteristics finite element method for the electroneutral micro-fluids. Zbl 1499.76073Si, Zhiyong; Dong, Piaopiao; Wang, Yunxia 1 2022 A posteriori error estimates for \(hp\) spectral element approximation of elliptic control problems with integral control and state constraints. Zbl 1499.65693Zhang, Jinling; Chen, Yanping; Huang, Yunqing; Huang, Fenglin 1 2022 Stochastic Runge-Kutta-Munthe-Kaas methods in the modelling of perturbed rigid bodies. Zbl 1513.65007Muniz, Michelle; Ehrhardt, Matthias; Günther, Michael; Winkler, Renate 1 2022 Integrating Krylov deferred correction and generalized finite difference methods for dynamic simulations of wave propagation phenomena in long-time intervals. Zbl 1488.65278Qu, Wenzhen; Gao, Hongwei; Gu, Yan 23 2021 Error estimate of a second order accurate scalar auxiliary variable (SAV) numerical method for the epitaxial thin film equation. Zbl 1488.65363Cheng, Qing; Wang, Cheng 18 2021 Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia 18 2021 Two-grid finite volume element method combined with Crank-Nicolson scheme for semilinear parabolic equations. Zbl 1488.65351Lou, Yuzhi; Chen, Chuanjun; Xue, Guanyu 7 2021 A two-level factored Crank-Nicolson method for two-dimensional nonstationary advection-diffusion equation with time dependent dispersion coefficients and source terms. Zbl 1488.65270Ngondiep, Eric 6 2021 An energy-stable finite element method for incompressible magnetohydrodynamic-Cahn-Hilliard coupled model. Zbl 1488.65489Zhao, Jianping; Chen, Rui; Su, Haiyan 5 2021 A second-order energy stable BDF numerical scheme for the viscous Cahn-Hilliard equation with logarithmic Flory-Huggins potential. Zbl 1488.65463Wang, Danxia; Wang, Xingxing; Jia, Hongen 5 2021 A two-grid finite-volume method for the Schrödinger equation. Zbl 1488.65573Zhang, Hongmei; Yin, Jianghua; Jin, Jicheng 4 2021 Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. Zbl 1488.76089Yang, Yang; Lei, Yanfang; Si, Zhiyong 4 2021 A Galerkin-characteristic finite element method for three-dimensional convection-dominated problems. Zbl 1488.65426Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed 3 2021 WENO interpolation-based and upwind-biased free-stream preserving nonlinear schemes. Zbl 1488.65261Li, Qin; Sun, Dong; Xu, Fengyuan 3 2021 A conservative gradient discretization method for parabolic equations. Zbl 1488.65362Zhou, Huifang; Sheng, Zhiqiang; Yuan, Guangwei 2 2021 A kernel-independent treecode for general Rotne-Prager-Yamakawa tensor. Zbl 1488.76107Wang, Lei 2 2021 A multi-dimensional shock-capturing limiter for high-order least square-based finite difference-finite volume method on unstructured grids. Zbl 1488.65349Liu, Yangyang; Yang, Liming; Shu, Chang; Zhang, Huangwei 2 2021 High-order well-balanced finite volume WENO schemes with conservative variables decomposition for shallow water equations. Zbl 1488.74132Li, Jiaojiao; Li, Gang; Qian, Shouguo; Gao, Jinmei 2 2021 An analytical solution for nonlinear vibration analysis of functionally graded rectangular plate in contact with fluid. Zbl 1488.74032Hashemi, Soheil; Jafari, Ali Asghar 2 2021 A class of robust low dissipation nested multi-resolution WENO schemes for solving hyperbolic conservation laws. Zbl 1488.65563Wang, Zhenming; Zhu, Jun; Yang, Yuchen; Tian, Linlin; Zhao, Ning 2 2021 A kernel-independent sum-of-Gaussians method by de La Vallée-Poussin sums. Zbl 1488.65029Liang, Jiuyang; Gao, Zixuan; Xu, Zhenli 2 2021 Algebraic multigrid block triangular preconditioning for multidimensional three-temperature radiation diffusion equations. Zbl 1488.65076Shu, Shi; Liu, Menghuan; Xu, Xiaowen; Yue, Xiaoqiang; Li, Shengguo 2 2021 Jacobi spectral Galerkin methods for a class of nonlinear weakly singular Volterra integral equations. Zbl 1488.65747Kant, Kapil; Mandal, Moumita; Nelakanti, Gnaneshwar 2 2021 A symplectic conservative perturbation series expansion method for linear Hamiltonian systems with perturbations and its applications. Zbl 1488.74077Qiu, Zhiping; Jiang, Nan 2 2021 A novel immersed boundary method implemented by imposing reconstructed velocity on virtual boundary. Zbl 1488.76027Wang, Jingyang; Zhou, Chunhua 1 2021 Legendre neural network for solving linear variable coefficients delay differential-algebraic equations with weak discontinuities. Zbl 1488.65211Liu, Hongliang; Song, Jingwen; Liu, Huini; Xu, Jie; Li, Lijuan 1 2021 An energy-preserving scheme for the coupled Gross-Pitaevskii equations. Zbl 1488.65294Wang, Lan; Cai, Wenjun; Wang, Yushun 1 2021 A new explicit immersed boundary method for simulation of fluid-solid interactions. Zbl 1488.35422Harikrishnan, B.; Chen, Zhen; Shu, Chang 1 2021 Temperature effect on the fundamental breakdown mechanism of Mack mode disturbances in hypersonic boundary layers. Zbl 1488.76049Xu, Jiakuan; Liu, Jianxin 1 2021 A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation. Zbl 1488.65390Teng, Fei; Luo, Zhendong 1 2021 An implicit-explicit scheme for the radiation hydrodynamics. Zbl 1488.65241Fang, Yaoli 1 2021 \((1+s)\)-order convergence analysis of weak Galerkin finite element methods for second order elliptic equations. Zbl 1488.65662Wang, Yiying; Zou, Yongkui; Chai, Shimin 1 2021 A novel B-spline method for modeling transport problems in anisotropic inhomogeneous media. Zbl 1499.65577Reutskiy, Sergiy; Lin, Ji; Zheng, Bin; Tong, Jiyou 1 2021 A radial basis function meshless numerical method for solving interface problems in irregular domains. Zbl 1488.65692Lu, Xin; Zhang, Ping; Shi, Liwei; Hou, Songming; Kuang, Ying 1 2021 Anisotropic yield criterion for metals exhibiting tension-compression asymmetry. Zbl 1488.74034Chen, Lei; Zhang, Jian; Zhang, Hongjian 1 2021 An efficient and unconditionally convergent Galerkin finite element method for the nonlinear Schrödinger equation in high dimensions. Zbl 1488.65412Cheng, Yue; Wang, Tingchun; Guo, Boling 1 2021 Error analysis of two-level finite element method for the nonlinear conductivity problem in Maxwell’s system. Zbl 1488.65468Wang, Peizhen; Zhang, Dandan; Yang, Wei 1 2021 Numerical schemes for time-space fractional vibration equations. Zbl 1488.65315Zhang, Jingna; Aleroev, Temirkhan S.; Tang, Yifa; Huang, Jianfei 1 2021 A note on the generating function method. Zbl 1488.65726Bo, Yonghui; Cai, Wenjun; Wang, Yushun 1 2021 The plane wave methods for the time-harmonic elastic wave problems with the complex valued coefficients. Zbl 1488.65695Yuan, Long; Xi, Shuai; Zhang, Binlin 1 2021 Explicit high order one-step methods for decoupled forward backward stochastic differential equations. Zbl 1488.65018Zhou, Quan; Sun, Yabing 1 2021 An ADI sparse grid method for pricing efficiently American options under the Heston model. Zbl 1488.65232Clevenhaus, A.; Ehrhardt, M.; Günther, M. 1 2021 Integral equation method for inverse scattering problem from the far-field data. Zbl 1488.35622Hu, Yuqing 1 2021 A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji 22 2020 High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics. Zbl 1488.65238Duan, Junming; Tang, Huazhong 12 2020 Non-convex and convex coupling image segmentation via TGpV regularization and thresholding. Zbl 1488.94042Wu, Tingting; Shao, Jinbo 9 2020 A posteriori error estimates of the Galerkin spectral methods for space-time fractional diffusion equations. Zbl 1488.65521Wang, Huasheng; Chen, Yanping; Huang, Yunqing; Mao, Wenting 5 2020 A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 1488.35652Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V. 4 2020 A robust Riemann solver for multiple hydro-elastoplastic solid mediums. Zbl 1488.76082Li, Ruo; Wang, Yanli; Yao, Chengbao 4 2020 Efficient preconditioned iterative linear solvers for 3-D magnetostatic problems using edge elements. Zbl 1488.65070Gu, Xian-Ming; Zhao, Yanpu; Huang, Tingzhu; Zhao, Ran 4 2020 A fully discrete explicit multistep scheme for solving coupled forward backward stochastic differential equations. Zbl 1488.65012Liu, Ying; Sun, Yabing; Zhao, Weidong 4 2020 The weak Galerkin finite element method for solving the time-dependent integro-differential equations. Zbl 1488.65470Wang, Xiuli; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou 3 2020 A mixed formulation of stabilized nonconforming finite element method for linear elasticity. Zbl 1488.65673Zhang, Bei; Zhao, Jikun 3 2020 Two-grid stabilized FEMs based on Newton type linearization for the steady-state natural convection problem. Zbl 1488.65666Yang, Yunbo; Jiang, Yaolin; Kong, Qiongxiang 3 2020 A posteriori error analysis of any order finite volume methods for elliptic problems. Zbl 1488.65680Zhang, Yuanyuan; Yang, Min 3 2020 A modulus iteration method for SPSD linear complementarity problem arising in image retinex. Zbl 1488.65147Yang, Xue; Huang, Yu-Mei 3 2020 An upwind mixed finite element method on changing meshes for positive semi-definite oil-water displacement of Darcy-Forchheimer flow in porous media. Zbl 1488.65483Yuan, Yirang; Song, Huailing; Li, Changfeng; Sun, Tongjun 3 2020 A compact difference scheme for the time-fractional partial integro-differential equation with a weakly singular kernel. Zbl 1488.45039Guo, Jing; Xu, Da 3 2020 Superconvergence analysis for the Maxwell’s equations in Debye medium with a thermal effect. Zbl 1488.65481Yao, Changhui; Shi, Dongyang; Hou, Mengmeng 2 2020 An alternating direction method of multipliers for optimal control problems constrained with elliptic equations. Zbl 1488.49061Yang, Jinda; Zhang, Kai; Song, Haiming; Cheng, Ting 2 2020 Numerical assessment of criteria for mesh adaptation in the finite volume solution of shallow water equations. Zbl 1488.65343Kissami, Imad; Seaid, Mohammed; Benkhaldoun, Fayssal 2 2020 The convergence and superconvergence of a MFEM for elliptic optimal control problems. Zbl 1488.65614Guan, Hongbo; Yang, Yong; Zhu, Huiqing 2 2020 A variable correction-based immersed boundary method for compressible flows over stationary and moving bodies. Zbl 1499.76004Wang, Junjie; Li, Yadong; Wu, Jie; Qiu, Fusheng 2 2020 A discontinuous Galerkin method by patch reconstruction for convection-diffusion problems. Zbl 1488.49064Sun, Zhiyuan; Liu, Jun; Wang, Pei 2 2020 Fitted finite volume method for pricing American options under regime-switching jump-diffusion models based on penalty method. Zbl 1488.65337Gan, Xiaoting; Yin, Jun-Feng; Li, Rui 2 2020 An efficient numerical method for the valuation of American better-of options based on the front-fixing transform and the far field truncation. Zbl 1488.91161Pang, Xiaowei; Song, Haiming; Wang, Xiaoshen; Zhang, Kai 2 2020 Solving fourth-order PDEs using the LMAPS. Zbl 1488.65685Deng, Cheng; Zheng, Hui; Shi, Yan; Chen, C. S. 2 2020 A generalization of a troubled-cell indicator to \(h\)-adaptive meshes for discontinuous Galerkin methods. Zbl 1488.65492Zhu, Hongqiang; Han, Wenxiu; Wang, Haijin 2 2020 Gradient recovery-type a posteriori error estimates for steady-state Poisson-Nernst-Planck equations. Zbl 1488.65651Shen, Ruigang; Shu, Shi; Yang, Ying; Fang, Mingjuan 2 2020 A high-order well-balanced discontinuous Galerkin method based on the hydrostatic reconstruction for the Ripa model. Zbl 1488.74133Li, Jiaojiao; Li, Gang; Qian, Shouguo; Gao, Jinmei; Niu, Qiang 2 2020 ...and 326 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,476 Authors 51 Chen, Yanping 46 Huang, Yunqing 28 Gu, Yan 24 Chen, Wen 22 Chen, Ching-Shyang 21 Li, Jichun 21 Lin, Ji 19 Dehghan Takht Fooladi, Mehdi 19 Lu, Zuliang 18 Fu, Zhuojia 17 Li, Hong 17 Liu, Yang 17 Wang, Fajie 17 Yang, Yin 14 Qu, Wenzhen 13 Abbaszadeh, Mostafa 13 Fan, Chia-Ming 13 Shivanian, Elyas 13 Shu, Shi 13 Yang, Wei 12 Chen, Chuanjun 11 Chai, Yingbin 11 Karageorghis, Andreas 11 Ling, Leevan 11 Xu, Da 11 Zhang, Shangyou 11 Zhang, Tong 10 Li, Xiaoli 10 Liu, Tiegang 10 Tang, Huazhong 10 Tian, Shoufu 9 Cai, Jiaxiang 9 Fakhar, Rachid 9 He, Siriguleng 9 Li, Wei 9 Liu, Zhengguang 9 Shirzadi, Ahmad 9 Sun, Linlin 9 Sun, Shuyu 9 Yi, Nianyu 9 Zhang, Chuanzeng 8 Benseridi, Hamid 8 Hu, Hanzhang 8 Kou, Jisheng 8 Li, Junpu 8 Li, Ruo 8 Mohebbi, Akbar 8 Pan, Kejia 8 Wang, Yushun 8 Yue, Xiaoqiang 7 Abdo, Mohammed Salem 7 An, Rong 7 Băleanu, Dumitru I. 7 Duan, Junming 7 Gong, Yuezheng 7 Heydari, Mohammad Hossien 7 Hou, Yanren 7 Li, Xiaolin 7 Qin, Qinghua 7 Shi, Dongyang 7 Song, Songhe 7 Tang, Yuelong 7 Wei, Xing 7 Yang, Ying 7 Zhang, Tiantian 7 Zhou, Jianwei 6 Abbasbandy, Saeid 6 Benkhira, El-Hassan 6 Dilmi, Mourad 6 Fang, Zhichao 6 Huang, Qiumei 6 Jafarabadi, Ahmad 6 Li, Hu 6 Ngondiep, Eric 6 Nie, Yufeng 6 Qi, Longzhao 6 Qian, Xu 6 Qiao, Zhonghua 6 Qiu, Lin 6 Shu, Chang 6 Sweilam, Nasser Hassan 6 Wang, Cheng 6 Wang, Jinfeng 6 Xiao, Aiguo 6 Yang, Liming 6 Yang, Xuehua 6 Zhang, Haixiang 6 Zheng, Hui 5 Aslefallah, Mohammad 5 Avazzadeh, Zakieh 5 Benaissa, Hicham 5 Bu, Weiping 5 Cheng, Aijie 5 Dangal, Thir 5 Dehrouyeh-Semnani, Amir Mehdi 5 Dou, Fangfang 5 He, Yinnian 5 Hua, Qingsong 5 Lambers, James V. 5 Li, Ming ...and 2,376 more Authors all top 5 Cited in 190 Journals 159 Advances in Applied Mathematics and Mechanics 95 Engineering Analysis with Boundary Elements 94 Computers & Mathematics with Applications 90 Journal of Computational Physics 66 Applied Mathematics and Computation 66 Journal of Computational and Applied Mathematics 57 Journal of Scientific Computing 53 Applied Numerical Mathematics 37 International Journal of Computer Mathematics 35 Applied Mathematical Modelling 31 Applied Mathematics Letters 31 Communications in Computational Physics 29 Computer Methods in Applied Mechanics and Engineering 29 Computational and Applied Mathematics 25 Computers and Fluids 22 Advances in Difference Equations 18 Numerical Algorithms 18 SIAM Journal on Scientific Computing 15 Numerical Methods for Partial Differential Equations 13 Abstract and Applied Analysis 13 AIMS Mathematics 12 Chaos, Solitons and Fractals 12 Advances in Computational Mathematics 11 Journal of Fluid Mechanics 11 SIAM Journal on Numerical Analysis 11 Mathematical Problems in Engineering 11 International Journal of Applied and Computational Mathematics 10 Physica A 10 Communications in Nonlinear Science and Numerical Simulation 10 Journal of Applied Mathematics and Computing 10 Boundary Value Problems 9 Acta Mechanica 9 Mathematics and Computers in Simulation 9 Journal of Function Spaces 8 Mathematics of Computation 8 Discrete and Continuous Dynamical Systems. 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