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## 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: Indexed cover-to-cover
 Documents Indexed: 616 Publications (since 2009) References Indexed: 474 Publications with 15,611 References.
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#### Latest Issues

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#### Authors

 24 Chen, Yanping 13 Huang, Yunqing 12 Shu, Shi 8 Chen, Wen 8 Deng, Xiaogang 8 Song, Songhe 7 He, Yinnian 7 Lin, Ji 7 Lu, Zhiliang 7 Niu, Xiaodong 6 Guo, Tongqing 6 Liu, Huayong 6 Mao, Meiliang 6 Zhao, Ning 5 Chen, Chuanmiao 5 Chen, Yaming 5 Dou, Huashu 5 Gu, Yan 5 Hou, Songming 5 Lu, Xiyun 5 Xiao, Aiguo 4 Chen, Luoping 4 Feng, Minfu 4 Fu, Zhuojia 4 Jiang, Yi 4 Karageorghis, Andreas 4 Li, Jichun 4 Liu, Hongliang 4 Lu, Changgen 4 Lu, Zuliang 4 Shen, Luyu 4 Shi, Dongyang 4 Shi, Liwei 4 Shu, Chang 4 Wang, Yushun 4 Yang, Yin 4 Yao, Changhui 4 Yu, Changping 4 Zhang, Kai 4 Zhang, Shangyou 4 Zhou, Chunhua 4 Zhu, Huajun 4 Zhu, Jun 3 Abouelregal, Ahmed E. 3 An, Rong 3 Bürger, Raimund 3 Cai, Wenjun 3 Chen, Ching-Shyang 3 Chronik, Blaine A. 3 Gao, Zhen 3 Huang, Haibo 3 Jia, Hongen 3 Jin, Jicheng 3 Khoo, Boo Cheong 3 Lesnic, Daniel 3 Li, Changfeng 3 Li, Gang 3 Li, Haochen 3 Li, Ruo 3 Li, Xinliang 3 Li, Yonghai 3 Li, Youai 3 Liang, Dong 3 Ling, Leevan 3 Liu, Liping 3 Liu, Tiegang 3 Lu, Hongqiang 3 Lu, Jun 3 Ma, Wen-Xiu 3 Nie, Yufeng 3 Qian, Shouguo 3 Qian, Xu 3 Sakhr, Jamal 3 Seaïd, Mohammed 3 Shang, Yueqiang 3 Shi, Baochang 3 Shi, Xiulian 3 Si, Zhiyong 3 Wang, Guangxue 3 Wang, Liqun 3 Wu, Chuijie 3 Xiao, Zuoli 3 Xie, Xiaoping 3 Xu, Jinchao 3 Yang, Danping 3 Yang, Jiming 3 Yang, Wei 3 Yao, Guangming 3 Yuan, Long 3 Yuan, Yirang 3 Zenkour, Ashraf M. 3 Zhang, Hong 3 Zhang, Hongmei 3 Zhang, Wei 3 Zhao, Jingjun 3 Zhao, Weidong 3 Zheng, Weishan 2 Ai, Junqiang 2 Bai, Yanhong 2 Benkhaldoun, Fayssal ...and 1,091 more Authors
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#### Fields

 380 Numerical analysis (65-XX) 148 Fluid mechanics (76-XX) 137 Partial differential equations (35-XX) 78 Mechanics of deformable solids (74-XX) 58 Optics, electromagnetic theory (78-XX) 27 Ordinary differential equations (34-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 18 Mechanics of particles and systems (70-XX) 16 Classical thermodynamics, heat transfer (80-XX) 15 Integral equations (45-XX) 14 Computer science (68-XX) 12 Real functions (26-XX) 10 Probability theory and stochastic processes (60-XX) 10 Statistical mechanics, structure of matter (82-XX) 10 Biology and other natural sciences (92-XX) 8 Approximations and expansions (41-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Operations research, mathematical programming (90-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Operator theory (47-XX) 6 Geophysics (86-XX) 5 General and overarching topics; collections (00-XX) 5 Integral transforms, operational calculus (44-XX) 5 Statistics (62-XX) 5 Systems theory; control (93-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Quantum theory (81-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 Functions of a complex variable (30-XX) 2 Astronomy and astrophysics (85-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)

#### Citations contained in zbMATH Open

140 Publications have been cited 623 times in 593 Documents Cited by Year
Finite difference/element method for a two-dimensional modified fractional diffusion equation. Zbl 1262.65108
Zhang, Na; Deng, Weihua; Wu, Yujiang
2012
An improved formulation of singular boundary method. Zbl 1262.65157
Chen, Wen; Gu, Yan
2012
Convergence analysis of the spectral methods for weakly singular Volterra integro-differential equations with smooth solutions. Zbl 1262.45005
Wei, Yunxia; Chen, Yanping
2012
Solutions of fractional partial differential equations of quantum mechanics. Zbl 1288.35486
Purohit, S. D.
2013
On the full $$C_1$$-$$Q_k$$ finite element spaces on rectangles and cuboids. Zbl 1262.65134
Zhang, Shangyou
2010
Compact finite difference scheme for the fourth-order fractional subdiffusion system. Zbl 1305.65190
Vong, Seakweng; Wang, Zhibo
2014
Analysis of two-grid methods for nonlinear parabolic equations by expanded mixed finite element methods. Zbl 1262.65167
Chen, Yanping; Luan, Peng; Lu, Zuliang
2009
Two-dimensional Legendre wavelets for solving time-fractional telegraph equation. Zbl 1308.65172
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.
2014
A posteriori error estimates of triangular mixed finite element methods for semilinear optimal control problems. Zbl 1262.49009
Lu, Zuliang; Chen, Yanping
2009
Convergent overdetermined-RBF-MLPG for solving second order elliptic PDEs. Zbl 1262.35096
2013
On convergence of a least-squares Kansa’s method for the modified Helmholtz equations. Zbl 1262.35093
Kwok, Ting-On; Ling, Leevan
2009
A revisit on the derivation of the particular solution for the differential operator $$\Delta^2 \pm \lambda^2$$. Zbl 1262.35086
Yao, Guangming; Chen, C. S.; Tsai, Chia Cheng
2009
The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013
Chen, Wen; Lin, Ji; Chen, C. S.
2013
A posteriori error estimation for an interior penalty discontinuous Galerkin method for Maxwell’s equations in cold plasma. Zbl 1262.65173
Li, Jichun
2009
Three boundary meshless methods for heat conduction analysis in nonlinear fgms with Kirchhoff and Laplace transformation. Zbl 1262.65137
Fu, Zhuojia; Chen, Wen; Qin, Qinghua
2012
Numerical method for the time fractional Fokker-Planck equation. Zbl 1262.65087
Cao, Xue-Nian; Fu, Jiang-Li; Huang, Hu
2012
Analysis and numerical approximation of an electro-elastic frictional contact problem. Zbl 1262.74017
Essoufi, El-H.; Benkhira, El-H.; Fakhar, R.
2010
Multi-symplectic wavelet collocation method for Maxwell’s equations. Zbl 1262.37034
Zhu, Huajun; Song, Songhe; Chen, Yaming
2011
The pressure-streamfunction MFS formulation for the detection of an obstacle immersed in a two-dimensional Stokes flow. Zbl 1262.65188
Karageorghis, A.; Lesnic, Daniel
2010
A modified nonconforming 5-node quadrilateral transition finite element. Zbl 1262.65153
Huang, Feiteng; Xie, Xiaoping
2010
A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211
Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno
2011
Some weighted averaging methods for gradient recovery. Zbl 1262.65154
Huang, Yunqing; Jiang, Kai; Yi, Nianyu
2012
Two-level Newton iteration methods for Navier-Stokes type variational inequality problem. Zbl 1262.65163
An, Rong; Qiu, Hailong
2013
An error analysis for the finite element approximation to the steady-state Poisson-Nernst-Planck equations. Zbl 1262.65182
Yang, Ying; Lu, Benzhuo
2013
Fluid-structure interaction in microchannel using lattice Boltzmann method and size-dependent beam element. Zbl 1305.74030
Esfahanian, V.; Dehdashti, E.; Dehrouyeh-Semnani, A. M.
2014
Two-grid discretization scheme for nonlinear reaction diffusion equation by mixed finite element methods. Zbl 1314.65126
Chen, Luoping; Chen, Yanping
2014
A free streaming contact preserving scheme for the $$M_1$$ model. Zbl 1262.65097
Berthon, C.; Dubois, J.; Dubroca, B.; Nguyen-Bui, T.-H.; Turpault, R.
2010
Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Zbl 1262.35187
Chen, Huajie; Gong, Xingao; He, Lianhua; Zhou, Aihui
2011
The Crank-Nicolson Hermite cubic orthogonal spline collocation method for the heat equation with nonlocal boundary conditions. Zbl 1279.80005
Bialecki, B.; Fairweather, G.; López-Marcos, J. C.
2013
On the boundary integral equations for a two-dimensional slowly rotating highly viscous fluid flow. Zbl 1262.31006
Lesnic, D.
2009
Iterative method for solving a problem with mixed boundary conditions for biharmonic equation. Zbl 1262.65192
Dang Quang A; Le Tung Son
2009
A spectral time-domain method for computational electrodynamics. Zbl 1262.65140
Lambers, James V.
2009
Superconvergence of rectangular mixed finite element methods for constrained optimal control problem. Zbl 1262.49007
Chen, Yanping; Dai, Li; Lu, Zuliang
2010
A maximum entropy method based on orthogonal polynomials for Frobenius-Perron operators. Zbl 1262.41013
Ding, Jiu; Rhee, Noah H.
2011
Hydrodynamic regimes, Knudsen layer, numerical schemes: definition of boundary fluxes. Zbl 1262.65111
Besse, Christophe; Borghol, Saja; Goudon, Thierry; Lacroix-Violet, Ingrid; Dudon, Jean-Paul
2011
Convergence of linear multistep methods and one-leg methods for index-2 differential-algebraic equations with a variable delay. Zbl 1262.65093
Liu, Hongliang; Xiao, Aiguo
2012
Two-grid finite-element method for the two-dimensional time-dependent Schrödinger equation. Zbl 1262.65183
Zhang, Hongmei; Jin, Jicheng; Wang, Jianyun
2013
A fast high order iterative solver for the electromagnetic scattering by open cavities filled with the inhomogeneous media. Zbl 1262.65147
Zhao, Meiling
2013
Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers. Zbl 1305.78016
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song
2014
A note on exact solutions to linear differential equations by the matrix exponential. Zbl 1262.15034
Ma, Wen-Xiu; Gu, Xiang; Gao, Liang
2009
The lower bounds of eigenvalues by the Wilson element in any dimension. Zbl 1262.65175
Li, Youai
2011
Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188
Imperiale, Sébastien; Joly, Patrick
2012
A modified Helmholtz equation with impedance boundary conditions. Zbl 1262.65166
Callihan, Robert S.; Wood, Aihua W.
2012
Error estimates and superconvergence of mixed finite element methods for optimal control problems with low regularity. Zbl 1262.49008
Chen, Yanping; Hou, Tianliang; Zheng, Weishan
2012
Modification of multiple knot B-spline wavelet for solving (partially) Dirichlet boundary value problem. Zbl 1262.65209
Pourakbari, Fatemeh; Tavakoli, Ali
2012
Lower bounds for eigenvalues of the Stokes operator. Zbl 1262.65171
Hu, Jun; Huang, Yunqing
2013
A posteriori error estimates of a combined mixed finite element and discontinuous Galerkin method for a kind of compressible miscible displacement problems. Zbl 1262.65117
Yang, Jiming; Xiong, Zhiguang
2013
A numerical study of jet propulsion of an oblate jellyfish using a momentum exchange-based immersed boundary-lattice Boltzmann method. Zbl 1325.76146
Yuan, Hai-Zhuan; Shu, Shi; Niu, Xiao-Dong; Li, Mingjun; Hu, Yang
2014
A solver for Helmholtz system generated by the discretization of wave shape functions. Zbl 1305.65115
Yuan, Long; Hu, Qiya
2013
Numerical solution of fractional partial differential equations by discrete Adomian decomposition method. Zbl 1305.35150
Dhaigude, D. B.; Birajdar, Gunvant A.
2014
A stochastic collocation method for delay differential equations with random input. Zbl 1305.65010
Zhou, Tao
2014
Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media. Zbl 1279.78017
Huang, Yunqing; Li, Jichun; Lin, Yanping
2013
A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Zbl 1288.90009
Bürger, Raimund; Mulet, Pep; Villada, Luis M.
2013
A posteriori error estimate for stabilized low-order mixed FEM for the Stokes equations. Zbl 1262.65158
He, Yinnian; Xie, Cong; Zheng, Haibiao
2010
On higher order pyramidal finite elements. Zbl 1262.65176
Liu, Liping; Davies, Kevin B.; Krezek, Michal; Guan, Li
2011
Finite element $$\theta$$-schemes for the acoustic wave equation. Zbl 1262.65131
Karaa, Samir
2011
Mathematical development and verification of a finite volume model for morphodynamic flow applications. Zbl 1262.65110
Benkhaldoun, Fayssal; Seaid, Mohammed; Sahmim, Slah
2011
Application of homotopy analysis method for solving systems of Volterra integral equations. Zbl 1262.45002
Matinfar, M.; Saeidy, M.; Vahidi, J.
2012
Two-level stabilized finite volume methods for the stationary Navier-Stokes equations. Zbl 1262.65184
Zhang, Tong; Xu, Shunwei
2013
Tailored finite point method for numerical solutions of singular perturbed eigenvalue problems. Zbl 1308.65192
Han, Houde; Shih, Yin-Tzer; Tsai, Chih-Ching
2014
Conservative and finite volume methods for the convection-dominated pricing problem. Zbl 1305.65195
Ramírez-Espinoza, Germán I.; Ehrhardt, Matthias
2013
A priori error estimates of finite element methods for linear parabolic integro-differential optimal control problems. Zbl 1310.65130
Shen, Wanfang; Ge, Liang; Yang, Danping; Liu, Wenbin
2014
1D exact elastic-perfectly plastic solid Riemann solver and its multi-material application. Zbl 07407145
Gao, Si; Liu, Tiegang
2017
Modelling and analysis of a class of metal–forming problems. Zbl 1262.74011
Angelov, T. A.
2010
Transient waves due to mechanical loads in elasto-thermo-diffusive solids. Zbl 1262.76093
Sharma, J. N.; Sharma, N. K.; Sharma, K. K.
2011
On modifications of continuous and discrete maximum principles for reaction-diffusion problems. Zbl 1262.35124
Farago, Istvan; Korotov, Sergey; Szabo, Tamas
2011
A stabilized finite element method for non-stationary conduction-convection problems. Zbl 1262.65185
Zhao, Ke; He, Yinnian; Zhang, Tong
2011
Dependence analysis of the solutions on the parameters of fractional delay differential equations. Zbl 1262.34009
Yang, Shuiping; Xiao, Aiguo; Pan, Xinyuan
2011
A priori and a posteriori error analysis of the discontinuous Galerkin methods for Reissner-Mindlin plates. Zbl 1262.65170
Hu, Jun; Huang, Yunqing
2011
Application of improved ($$G'/G$$)-expansion method to traveling wave solutions of two nonlinear evolution equations. Zbl 1262.35074
Liu, Xiaohua; Zhang, Weiguo; Li, Zhengming
2012
Collocation methods for a class of Volterra integral functional equations with multiple proportional delays. Zbl 1262.65202
Zhang, Kai; Li, Jie
2012
Simulations of two-step Maruyama methods for nonlinear stochastic delay differential equations. Zbl 1262.65007
Cao, Wanrong; Zhang, Zhongqiang
2012
A spectral method for second order Volterra integro-differential equation with pantograph delay. Zbl 1262.65203
Zheng, Weishan; Chen, Yanping
2013
Mixed convection in viscoelastic boundary layer flow and heat transfer over a stretching sheet. Zbl 1305.76097
Mastroberardino, Antonio
2014
An efficient proximity point algorithm for total-variation-based image restoration. Zbl 1320.94017
Zhu, Wei; Shu, Shi; Cheng, Lizhi
2014
New error estimates of nonconforming finite element methods for the Poisson problem with low regularity solution. Zbl 1309.65127
Li, Youai
2014
Continuous and discrete adjoint approach based on lattice Boltzmann method in aerodynamic optimization. Part I: Mathematical derivation of adjoint lattice Boltzmann equations. Zbl 1310.76061
Hekmat, Mohamad Hamed; Mirzaei, Masoud
2014
A new finite volume element formulation for the non-stationary Navier-Stokes equations. Zbl 1310.65102
Luo, Zhendong
2014
A high-accuracy finite difference scheme for solving reaction-convection-diffusion problems with a small diffusivity. Zbl 1310.65137
Hsieh, Po-Wen; Yang, Suh-Yuh; You, Cheng-Shu
2014
A comparison of the performance of limiters for Runge-Kutta discontinuous Galerkin methods. Zbl 1279.65118
Zhu, Hongqiang; Cheng, Yue; Qiu, Jianxian
2013
Buckling of 2D-FG cylindrical shells under combined external pressure and axial compression. Zbl 1279.74024
2013
Uniform convergence analysis of a higher order hybrid stress quadrilateral finite element method for linear elasticity problems. Zbl 07405056
Bai, Yanhong; Wu, Yongke; Xie, Xiaoping
2016
A simplified lattice Boltzmann method without evolution of distribution function. Zbl 07407112
Chen, Z.; Shu, C.; Wang, Y.; Yang, L. M.; Tan, D.
2017
A sharp interface method for compressible multi-phase flows based on the cut cell and ghost fluid methods. Zbl 07407167
Bai, Xiao; Deng, Xiaolong
2017
Simulation of seismic wave scattering by embedded cavities in an elastic half-plane using the novel singular boundary method. Zbl 07408291
Lin, Ji; Zhang, Chuanzeng; Sun, Linlin; Lu, Jun
2018
A treecode algorithm for 3D stokeslets and stresslets. Zbl 07408399
Wang, Lei; Tlupova, Svetlana; Krasny, Robert
2019
Numerical approximation of a nonlinear 3D heat radiation problem. Zbl 1262.65177
Liu, Liping; Huang, Min; Yuan, Kewei; Krizek, Michal
2009
Discrete maximum principle for Poisson equation with mixed boundary conditions solved by $$hp$$-FEM. Zbl 1262.65181
Vejchodsky, T.; Solin, P.
2009
Symplectic Euler method for nonlinear high order Schrödinger equation with a trapped term. Zbl 1262.65100
Fu, Fangfang; Kong, Linghua; Wang, Lan
2009
Efficient reconstruction methods for nonlinear elliptic Cauchy problems with piecewise constant solutions. Zbl 1262.65063
Egger, Herbert; Leitao, Antonio
2009
Improved local projection for the generalized Stokes problem. Zbl 1262.65155
Nafa, Kamel
2009
Travelling wave solutions to the Zhiber-Shabat and related equations using rational hyperbolic method. Zbl 1262.35073
Davodi, Amin Gholami; Ganji, Davood Domiri
2010
A family of methods of the DG-Morley type for polyharmonic equations. Zbl 1262.65180
Ruas, Vitoriano; De Araujo, José Henrique Carneiro
2010
Semiclassical axisymmetric lattice Boltzmann method. Zbl 1262.76091
Yang, Jaw-Yen; Hung, Li-Hsin; Kuo, Yao-Tien
2010
Analysis and invariant properties of a lattice Boltzmann method. Zbl 1262.76085
Junk, Michael; Yang, Zhaoxia
2010
Efficient numerical valuation of continuous installment options. Zbl 1262.65141
Mezentsev, Anton; Pomelnikov, Anton; Ehrhardt, Matthias
2011
Superconvergence of parabolic optimal control problems. Zbl 1262.65085
Xing, Xiaoqing; Chen, Yanping
2011
Spectral element discretization of the Stokes equations in deformed axisymmetric geometries. Zbl 1262.65186
Belhachmi, Zakaria; Karageorghis, Andreas
2011
Convergence of a distributional Monte Carlo method for the Boltzmann equation. Zbl 1262.82020
Schrock, Christopher R.; Wood, Aihua W.
2012
An iterative two-grid method of A finite element PML approximation for the two dimensional Maxwell problem. Zbl 1262.65048
Liu, Chunmei; Shu, Shi; Huang, Yunqing; Zhong, Liuqiang; Wang, Junxian
2012
Integrating Krylov deferred correction and generalized finite difference methods for dynamic simulations of wave propagation phenomena in long-time intervals. Zbl 07409162
Qu, Wenzhen; Gao, Hongwei; Gu, Yan
2021
The plane wave methods for the time-harmonic elastic wave problems with the complex valued coefficients. Zbl 07409154
Yuan, Long; Xi, Shuai; Zhang, Binlin
2021
A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 07409024
Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V.
2020
A treecode algorithm for 3D stokeslets and stresslets. Zbl 07408399
Wang, Lei; Tlupova, Svetlana; Krasny, Robert
2019
Fractional integro-differential equations involving $$\psi$$-Hilfer fractional derivative. Zbl 07408372
Abdo, Mohammed S.; Panchal, Satish K.
2019
A weak Galerkin method with $$C^0$$ element for fourth order linear parabolic equation. Zbl 07408378
Chai, Shimin; Zou, Yongkui; Zhao, Wenju
2019
An adaptive finite element solver for demagnetization field calculation. Zbl 07408411
Yang, Lei; Hu, Guanghui
2019
Stability of two conservative, high-order fluid-fluid coupling methods. Zbl 07408422
Connors, Jeffrey M.; Dolan, Robert D.
2019
Simulation of seismic wave scattering by embedded cavities in an elastic half-plane using the novel singular boundary method. Zbl 07408291
Lin, Ji; Zhang, Chuanzeng; Sun, Linlin; Lu, Jun
2018
Immersed finite element method for eigenvalue problems in elasticity. Zbl 07408296
Lee, Seungwoo; Kwak, Do Young; Sim, Imbo
2018
Singular boundary method to simulate scattering of SH wave by the canyon topography. Zbl 07408319
Tang, Zhuochao; Fu, Zhuojia; Zheng, Dongjian; Huang, Jundong
2018
Analysis and application of stochastic collocation methods for Maxwell’s equations with random inputs. Zbl 07408337
Li, Jichun; Fang, Zhiwei
2018
1D exact elastic-perfectly plastic solid Riemann solver and its multi-material application. Zbl 07407145
Gao, Si; Liu, Tiegang
2017
A simplified lattice Boltzmann method without evolution of distribution function. Zbl 07407112
Chen, Z.; Shu, C.; Wang, Y.; Yang, L. M.; Tan, D.
2017
A sharp interface method for compressible multi-phase flows based on the cut cell and ghost fluid methods. Zbl 07407167
Bai, Xiao; Deng, Xiaolong
2017
Nonconforming finite element method for the transmission eigenvalue problem. Zbl 07407116
Ji, Xia; Xi, Yingxia; Xie, Hehu
2017
New conservative finite volume element schemes for the modified regularized long wave equation. Zbl 07407125
Yan, Jinliang; Lai, Ming-Chih; Li, Zhilin; Zhang, Zhiyue
2017
A new family of difference schemes for space fractional advection diffusion equation. Zbl 07407127
Li, Can; Deng, Weihua
2017
Analysis of solving Galerkin finite element methods with symmetric pressure stabilization for the unsteady Navier-Stokes equations using conforming equal order interpolation. Zbl 07407131
Chen, Gang; Feng, Minfu
2017
An immersed finite element method for the elasticity problems with displacement jump. Zbl 07407134
Kyeong, Daehyeon; Kwak, Do Young
2017
A new two-grid method for expanded mixed finite element solution of nonlinear reaction diffusion equations. Zbl 07407152
Liu, Shang; Chen, Yanping
2017
The Oseen type finite element iterative method for the stationary incompressible magnetohydrodynamics. Zbl 07407153
Dong, Xiaojing; He, Yinnian
2017
A convex-splitting scheme for a diffuse interface model with Peng-Robinson equation of state. Zbl 07407173
Peng, Qiujin
2017
Uniform convergence analysis of a higher order hybrid stress quadrilateral finite element method for linear elasticity problems. Zbl 07405056
Bai, Yanhong; Wu, Yongke; Xie, Xiaoping
2016
A numerical method on Eulerian grids for two-phase compressible flow. Zbl 07405045
Guo, Yonghui; Li, Ruo; Yao, Chengbao
2016
A switch function-based gas-kinetic scheme for simulation of inviscid and viscous compressible flows. Zbl 07405072
Sun, Yu; Shu, Chang; Yang, Liming; Teo, C. J.
2016
Solution reconstruction on unstructured tetrahedral meshes using $$P^1$$-conservative interpolation. Zbl 07405081
Peng, Biao; Zhou, Chunhua; Ai, Junqiang
2016
Error analysis and adaptive methods of least squares nonconforming finite element for the transport equations. Zbl 07405082
Liu, Huipo; Wang, Shuanghu; Han, Hongbin
2016
A hybrid lattice Boltzmann flux solver for simulation of viscous compressible flows. Zbl 07405083
Yang, L. M.; Shu, C.; Wu, J.
2016
Convergence analysis of Legendre-collocation methods for nonlinear Volterra type integro equations. Zbl 07402768
Yang, Yin; Chen, Yanping; Huang, Yunqing; Yang, Wei
2015
Optimal bicubic finite volume methods on quadrilateral meshes. Zbl 07402789
Chen, Yanli; Li, Yonghai
2015
Meshless collocation method for inverse source identification problems. Zbl 07402791
Wang, Fuzhang; Ma, Zhaoxing
2015
Compact finite difference scheme for the fourth-order fractional subdiffusion system. Zbl 1305.65190
Vong, Seakweng; Wang, Zhibo
2014
Two-dimensional Legendre wavelets for solving time-fractional telegraph equation. Zbl 1308.65172
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.
2014
Fluid-structure interaction in microchannel using lattice Boltzmann method and size-dependent beam element. Zbl 1305.74030
Esfahanian, V.; Dehdashti, E.; Dehrouyeh-Semnani, A. M.
2014
Two-grid discretization scheme for nonlinear reaction diffusion equation by mixed finite element methods. Zbl 1314.65126
Chen, Luoping; Chen, Yanping
2014
Numerical study of geometric multigrid methods on CPU-GPU heterogeneous computers. Zbl 1305.78016
Feng, Chunsheng; Shu, Shi; Xu, Jinchao; Zhang, Chen-Song
2014
A numerical study of jet propulsion of an oblate jellyfish using a momentum exchange-based immersed boundary-lattice Boltzmann method. Zbl 1325.76146
Yuan, Hai-Zhuan; Shu, Shi; Niu, Xiao-Dong; Li, Mingjun; Hu, Yang
2014
Numerical solution of fractional partial differential equations by discrete Adomian decomposition method. Zbl 1305.35150
Dhaigude, D. B.; Birajdar, Gunvant A.
2014
A stochastic collocation method for delay differential equations with random input. Zbl 1305.65010
Zhou, Tao
2014
Tailored finite point method for numerical solutions of singular perturbed eigenvalue problems. Zbl 1308.65192
Han, Houde; Shih, Yin-Tzer; Tsai, Chih-Ching
2014
A priori error estimates of finite element methods for linear parabolic integro-differential optimal control problems. Zbl 1310.65130
Shen, Wanfang; Ge, Liang; Yang, Danping; Liu, Wenbin
2014
Mixed convection in viscoelastic boundary layer flow and heat transfer over a stretching sheet. Zbl 1305.76097
Mastroberardino, Antonio
2014
An efficient proximity point algorithm for total-variation-based image restoration. Zbl 1320.94017
Zhu, Wei; Shu, Shi; Cheng, Lizhi
2014
New error estimates of nonconforming finite element methods for the Poisson problem with low regularity solution. Zbl 1309.65127
Li, Youai
2014
Continuous and discrete adjoint approach based on lattice Boltzmann method in aerodynamic optimization. Part I: Mathematical derivation of adjoint lattice Boltzmann equations. Zbl 1310.76061
Hekmat, Mohamad Hamed; Mirzaei, Masoud
2014
A new finite volume element formulation for the non-stationary Navier-Stokes equations. Zbl 1310.65102
Luo, Zhendong
2014
A high-accuracy finite difference scheme for solving reaction-convection-diffusion problems with a small diffusivity. Zbl 1310.65137
Hsieh, Po-Wen; Yang, Suh-Yuh; You, Cheng-Shu
2014
A second-order three-level difference scheme for a magneto-thermo-elasticity model. Zbl 1311.74136
Cao, Hai-Yan; Sun, Zhi-Zhong; Zhao, Xuan
2014
Asymptotic study of a boundary value problem governed by the elasticity operator with nonlinear term. Zbl 1335.35306
Benterki, D.; Benseridi, H.; Dilmi, M.
2014
Analysis of functionally graded piezoelectric cylinders in a hygrothermal environment. Zbl 1305.74060
Allam, M. N. M.; Zenkour, A. M.; Tantawy, R.
2014
Explicit multi-symplectic splitting methods for the nonlinear Dirac equation. Zbl 1305.65183
Chen, Yaming; Song, Songhe; Zhu, Huajun
2014
Asymptotic analysis of a Bingham fluid in a thin domain with Fourier and Tresca boundary conditions. Zbl 07402758
Dilmi, M.; Benseridi, H.; Saadallah, A.
2014
Solutions of fractional partial differential equations of quantum mechanics. Zbl 1288.35486
Purohit, S. D.
2013
Convergent overdetermined-RBF-MLPG for solving second order elliptic PDEs. Zbl 1262.35096
2013
The method of fundamental solutions for solving exterior axisymmetric Helmholtz problems with high wave-number. Zbl 1279.35013
Chen, Wen; Lin, Ji; Chen, C. S.
2013
Two-level Newton iteration methods for Navier-Stokes type variational inequality problem. Zbl 1262.65163
An, Rong; Qiu, Hailong
2013
An error analysis for the finite element approximation to the steady-state Poisson-Nernst-Planck equations. Zbl 1262.65182
Yang, Ying; Lu, Benzhuo
2013
The Crank-Nicolson Hermite cubic orthogonal spline collocation method for the heat equation with nonlocal boundary conditions. Zbl 1279.80005
Bialecki, B.; Fairweather, G.; López-Marcos, J. C.
2013
Two-grid finite-element method for the two-dimensional time-dependent Schrödinger equation. Zbl 1262.65183
Zhang, Hongmei; Jin, Jicheng; Wang, Jianyun
2013
A fast high order iterative solver for the electromagnetic scattering by open cavities filled with the inhomogeneous media. Zbl 1262.65147
Zhao, Meiling
2013
Lower bounds for eigenvalues of the Stokes operator. Zbl 1262.65171
Hu, Jun; Huang, Yunqing
2013
A posteriori error estimates of a combined mixed finite element and discontinuous Galerkin method for a kind of compressible miscible displacement problems. Zbl 1262.65117
Yang, Jiming; Xiong, Zhiguang
2013
A solver for Helmholtz system generated by the discretization of wave shape functions. Zbl 1305.65115
Yuan, Long; Hu, Qiya
2013
Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media. Zbl 1279.78017
Huang, Yunqing; Li, Jichun; Lin, Yanping
2013
A diffusively corrected multiclass Lighthill-Whitham-Richards traffic model with anticipation lengths and reaction times. Zbl 1288.90009
Bürger, Raimund; Mulet, Pep; Villada, Luis M.
2013
Two-level stabilized finite volume methods for the stationary Navier-Stokes equations. Zbl 1262.65184
Zhang, Tong; Xu, Shunwei
2013
Conservative and finite volume methods for the convection-dominated pricing problem. Zbl 1305.65195
Ramírez-Espinoza, Germán I.; Ehrhardt, Matthias
2013
A spectral method for second order Volterra integro-differential equation with pantograph delay. Zbl 1262.65203
Zheng, Weishan; Chen, Yanping
2013
A comparison of the performance of limiters for Runge-Kutta discontinuous Galerkin methods. Zbl 1279.65118
Zhu, Hongqiang; Cheng, Yue; Qiu, Jianxian
2013
Buckling of 2D-FG cylindrical shells under combined external pressure and axial compression. Zbl 1279.74024
2013
Free vibration analysis of nanocomposite plates reinforced by graded carbon nanotubes based on first-order shear deformation plate theory. Zbl 1262.74033
Mehrabadi, S. Jafari; Sobhaniaragh, B.; Pourdonya, V.
2013
Numerical approximation of Hopf bifurcation for tumor-immune system competition model with two delays. Zbl 1262.34082
Zhao, Jing-Jun; Xiao, Jing-Yu; Xu, Yang
2013
Mathematical modelling of malaria with treatment. Zbl 1305.92066
Ghosh, Mini
2013
Galerkin formulations of the method of fundamental solutions. Zbl 1279.65131
Berger, J. R.; Karageorghis, Andreas
2013
A priori error estimates of Crank-Nicolson finite volume element method for parabolic optimal control problems. Zbl 1288.65132
Luo, Xianbing; Chen, Yanping; Huang, Yunqing
2013
Finite difference/element method for a two-dimensional modified fractional diffusion equation. Zbl 1262.65108
Zhang, Na; Deng, Weihua; Wu, Yujiang
2012
An improved formulation of singular boundary method. Zbl 1262.65157
Chen, Wen; Gu, Yan
2012
Convergence analysis of the spectral methods for weakly singular Volterra integro-differential equations with smooth solutions. Zbl 1262.45005
Wei, Yunxia; Chen, Yanping
2012
Three boundary meshless methods for heat conduction analysis in nonlinear fgms with Kirchhoff and Laplace transformation. Zbl 1262.65137
Fu, Zhuojia; Chen, Wen; Qin, Qinghua
2012
Numerical method for the time fractional Fokker-Planck equation. Zbl 1262.65087
Cao, Xue-Nian; Fu, Jiang-Li; Huang, Hu
2012
Some weighted averaging methods for gradient recovery. Zbl 1262.65154
Huang, Yunqing; Jiang, Kai; Yi, Nianyu
2012
Convergence of linear multistep methods and one-leg methods for index-2 differential-algebraic equations with a variable delay. Zbl 1262.65093
Liu, Hongliang; Xiao, Aiguo
2012
Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188
Imperiale, Sébastien; Joly, Patrick
2012
A modified Helmholtz equation with impedance boundary conditions. Zbl 1262.65166
Callihan, Robert S.; Wood, Aihua W.
2012
Error estimates and superconvergence of mixed finite element methods for optimal control problems with low regularity. Zbl 1262.49008
Chen, Yanping; Hou, Tianliang; Zheng, Weishan
2012
Modification of multiple knot B-spline wavelet for solving (partially) Dirichlet boundary value problem. Zbl 1262.65209
Pourakbari, Fatemeh; Tavakoli, Ali
2012
Application of homotopy analysis method for solving systems of Volterra integral equations. Zbl 1262.45002
Matinfar, M.; Saeidy, M.; Vahidi, J.
2012
Application of improved ($$G'/G$$)-expansion method to traveling wave solutions of two nonlinear evolution equations. Zbl 1262.35074
Liu, Xiaohua; Zhang, Weiguo; Li, Zhengming
2012
Collocation methods for a class of Volterra integral functional equations with multiple proportional delays. Zbl 1262.65202
Zhang, Kai; Li, Jie
2012
Simulations of two-step Maruyama methods for nonlinear stochastic delay differential equations. Zbl 1262.65007
Cao, Wanrong; Zhang, Zhongqiang
2012
Convergence of a distributional Monte Carlo method for the Boltzmann equation. Zbl 1262.82020
Schrock, Christopher R.; Wood, Aihua W.
2012
An iterative two-grid method of A finite element PML approximation for the two dimensional Maxwell problem. Zbl 1262.65048
Liu, Chunmei; Shu, Shi; Huang, Yunqing; Zhong, Liuqiang; Wang, Junxian
2012
Modelling and numerical valuation of power derivatives in energy markets. Zbl 1262.91149
Nguyen, Mai Huong; Ehrhardt, Matthias
2012
An acceleration method for stationary iterative solution to linear system of equations. Zbl 1262.65047
Lin, Qun; Peng, Wujian
2012
Shape analysis and solution to a class of nonlinear wave equation with cubic term. Zbl 1262.35182
Li, Xiang; Zhang, Weiguo; Zhao, Yan
2012
The collocation method and the splitting extrapolation for the first kind of boundary integral equations on polygonal regions. Zbl 1262.65195
Wang, Li
2012
Multi-symplectic wavelet collocation method for Maxwell’s equations. Zbl 1262.37034
Zhu, Huajun; Song, Songhe; Chen, Yaming
2011
A boundary meshless method for solving heat transfer problems using the Fourier transform. Zbl 1262.65211
Tadeu, A.; Chen, C. S.; Antonio, J.; Simoes, Nuno
2011
Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Zbl 1262.35187
Chen, Huajie; Gong, Xingao; He, Lianhua; Zhou, Aihui
2011
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#### Cited by 955 Authors

 31 Chen, Yanping 26 Huang, Yunqing 16 Lu, Zuliang 15 Dehghan Takht Fooladi, Mehdi 14 Li, Hong 14 Liu, Yang 13 Chen, Ching-Shyang 11 Abbaszadeh, Mostafa 10 Li, Jichun 10 Shu, Shi 9 Chen, Wen 9 Lin, Ji 9 Shivanian, Elyas 8 He, Siriguleng 8 Li, Xiaoli 8 Ling, Leevan 8 Xu, Da 7 Fakhar, Rachid 7 Karageorghis, Andreas 7 Liu, Zhengguang 7 Mohebbi, Akbar 7 Shirzadi, Ahmad 7 Yang, Wei 7 Yang, Yin 7 Yi, Nianyu 7 Zhang, Shangyou 6 An, Rong 6 Fang, Zhichao 6 Fu, Zhuojia 6 Gu, Yan 6 Heydari, Mohammad Hossien 6 Hu, Hanzhang 6 Jafarabadi, Ahmad 6 Wang, Jinfeng 6 Yang, Xuehua 6 Zhang, Haixiang 5 Bu, Weiping 5 Cai, Jiaxiang 5 Dehrouyeh-Semnani, Amir Mehdi 5 Purohit, Sunil Dutt 5 Shi, Xiulian 5 Takhtabnoos, Fariba 5 Yue, Xiaoqiang 4 Benaissa, Hicham 4 Benkhira, El-Hassan 4 Chen, Chuanjun 4 Cheng, Aijie 4 Dang Quang A 4 Du, Yanwei 4 Essoufi, El Hassan 4 Gao, Wei 4 He, Yinnian 4 Lambers, James V. 4 Liu, Fawang 4 Mustapha, Kassem 4 Qu, Wenzhen 4 Shi, Dongyang 4 Tang, Yuelong 4 Wang, Yushun 4 Wang, Zhibo 4 Yang, Jiming 4 Yang, Ying 4 Yuan, Jinyun 4 Zhang, Chengjian 4 Zhou, Aihui 3 Avazzadeh, Zakieh 3 Băleanu, Dumitru I. 3 Cattani, Carlo 3 Dehrouyeh, Mohammad 3 Ding, Jiu 3 Gao, Guanghua 3 Gong, Yuezheng 3 Gu, Zhendong 3 Heydari, Mohammadhossein 3 Hong, Jialin 3 Hooshmandasl, Mohammad Reza 3 Hosseininia, M. 3 Hu, Jun 3 Kim, Sin-Bom 3 Lesnic, Daniel 3 Li, Qin 3 Li, Yuan 3 Liu, Tiegang 3 Rabczuk, Timon 3 Rhee, Noah H. 3 Shi, Wenjie 3 Sun, Pengtao 3 Tian, Zhikun 3 Turner, Ian William 3 Turpault, Rodolphe 3 Wang, Jianyun 3 Wei, Yunxia 3 Xi, Qiang 3 Xiao, Aiguo 3 Yang, Yidu 3 Yuan, Long 3 Zhang, Yaoming 3 Zhang, Yu 3 Zhang, Zhimin 3 Zhao, Xin ...and 855 more Authors
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#### Cited in 120 Journals

 46 Advances in Applied Mathematics and Mechanics 45 Computers & Mathematics with Applications 41 Engineering Analysis with Boundary Elements 35 Journal of Computational Physics 28 Applied Mathematics and Computation 26 Journal of Scientific Computing 25 Communications in Computational Physics 24 Journal of Computational and Applied Mathematics 21 Applied Numerical Mathematics 14 Computer Methods in Applied Mechanics and Engineering 12 Numerical Algorithms 12 Abstract and Applied Analysis 11 Numerical Methods for Partial Differential Equations 10 Applied Mathematical Modelling 9 International Journal of Computer Mathematics 9 Computational and Applied Mathematics 8 SIAM Journal on Scientific Computing 8 Advances in Computational Mathematics 7 Advances in Difference Equations 6 Computers and Fluids 6 International Journal of Engineering Science 6 Inverse Problems in Science and Engineering 6 Science China. Mathematics 5 Mathematics of Computation 5 Chaos, Solitons and Fractals 5 SIAM Journal on Numerical Analysis 5 Applications of Mathematics 5 East Asian Journal on Applied Mathematics 4 Acta Mechanica 4 Numerical Functional Analysis and Optimization 4 Nonlinear Dynamics 4 Journal of Applied Analysis and Computation 3 Mathematical Methods in the Applied Sciences 3 Calcolo 3 Acta Applicandae Mathematicae 3 Mathematical Problems in Engineering 3 Journal of Applied Mathematics 3 Journal of Applied Mathematics and Computing 3 Mediterranean Journal of Mathematics 3 Boundary Value Problems 3 Advances in Mathematical Physics 3 International Journal of Applied and Computational Mathematics 2 Applicable Analysis 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 BIT 2 International Journal for Numerical Methods in Engineering 2 Mathematics and Computers in Simulation 2 Applied Mathematics and Mechanics. (English Edition) 2 Computational Mathematics and Modeling 2 Fractals 2 Vietnam Journal of Mathematics 2 Journal of Inequalities and Applications 2 Lobachevskii Journal of Mathematics 2 Nonlinear Analysis. Modelling and Control 2 Dynamics of Continuous, Discrete & Impulsive Systems. Series A. Mathematical Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 International Journal of Numerical Analysis and Modeling 2 Frontiers of Mathematics in China 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Nonlinear Science and Applications 2 Advances in Numerical Analysis 2 Mathematical Sciences 2 Journal of Mathematics 2 AMM. Applied Mathematics and Mechanics. (English Edition) 2 Communications on Applied Mathematics and Computation 1 International Journal of Control 1 Journal of Engineering Mathematics 1 Journal of Fluid Mechanics 1 Journal of Mathematical Biology 1 Journal of Mathematical Physics 1 Lithuanian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Collectanea Mathematica 1 Journal of the Korean Mathematical Society 1 Kyungpook Mathematical Journal 1 Acta Mathematicae Applicatae Sinica. English Series 1 Facta Universitatis. Series Mathematics and Informatics 1 Computational Mechanics 1 Applied Mathematics Letters 1 European Journal of Applied Mathematics 1 Japan Journal of Industrial and Applied Mathematics 1 Glasnik Matematički. Serija III 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Numerical Linear Algebra with Applications 1 Complexity 1 Journal of Applied Mechanics and Technical Physics 1 LMS Journal of Computation and Mathematics 1 Computational Geosciences 1 Mathematical Modelling and Analysis 1 Journal of Systems Science and Complexity 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Central European Journal of Mathematics 1 Multiscale Modeling & Simulation 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Proyecciones ...and 20 more Journals
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#### Cited in 35 Fields

 484 Numerical analysis (65-XX) 264 Partial differential equations (35-XX) 78 Fluid mechanics (76-XX) 58 Mechanics of deformable solids (74-XX) 43 Integral equations (45-XX) 37 Optics, electromagnetic theory (78-XX) 31 Calculus of variations and optimal control; optimization (49-XX) 29 Real functions (26-XX) 29 Ordinary differential equations (34-XX) 14 Biology and other natural sciences (92-XX) 12 Special functions (33-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Statistical mechanics, structure of matter (82-XX) 8 Operator theory (47-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Dynamical systems and ergodic theory (37-XX) 7 Approximations and expansions (41-XX) 7 Probability theory and stochastic processes (60-XX) 5 Geophysics (86-XX) 4 Linear and multilinear algebra; matrix theory (15-XX) 4 Potential theory (31-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Computer science (68-XX) 4 Systems theory; control (93-XX) 3 Integral transforms, operational calculus (44-XX) 3 Quantum theory (81-XX) 3 Operations research, mathematical programming (90-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Difference and functional equations (39-XX) 1 Functional analysis (46-XX) 1 Mechanics of particles and systems (70-XX) 1 Information and communication theory, circuits (94-XX) 1 Mathematics education (97-XX)