## 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: 666 Publications (since 2009) References Indexed: 523 Publications with 17,775 References.
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### Latest Issues

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### Authors

 26 Chen, Yanping 15 Huang, Yunqing 11 Shu, Shi 9 Deng, Xiaogang 9 Song, Songhe 8 Chen, Wen 8 Lin, Ji 7 Gu, Yan 7 He, Yinnian 7 Liu, Huayong 7 Lu, Zhiliang 7 Mao, Meiliang 7 Niu, Xiaodong 6 Chen, Yaming 6 Fu, Zhuojia 6 Guo, Tongqing 6 Shu, Chang 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 Liu, Hongliang 5 Liu, Tiegang 5 Shi, Dongyang 5 Zhou, Chunhua 5 Zhu, Jun 4 Chen, Luoping 4 Karageorghis, Andreas 4 Li, Changfeng 4 Li, Jichun 4 Lu, Changgen 4 Lu, Xiyun 4 Lu, Zuliang 4 Seaïd, Mohammed 4 Shen, Luyu 4 Shi, Liwei 4 Si, Zhiyong 4 Wang, Liqun 4 Wang, Yushun 4 Xie, Xiaoping 4 Yang, Liming 4 Yang, Yin 4 Yao, Changhui 4 Yuan, Yirang 4 Zhang, Kai 4 Zhu, Huajun 3 Abouelregal, Ahmed E. 3 An, Rong 3 Bürger, Raimund 3 Cai, Wenjun 3 Chai, Zhenhua 3 Chen, Ching-Shyang 3 Chronik, Blaine A. 3 Gao, Zhen 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, Ruo 3 Li, Yonghai 3 Li, Youai 3 Liang, Dong 3 Ling, Leevan 3 Liu, Liping 3 Lu, Hongqiang 3 Lu, Jun 3 Ma, Wen-Xiu 3 Nie, Yufeng 3 Qian, Shouguo 3 Qian, Xu 3 Sakhr, Jamal 3 Shang, Yueqiang 3 Shi, Baochang 3 Shi, Xiulian 3 Song, Huailing 3 Wang, Guangxue 3 Wang, Jianyun 3 Wu, Chuijie 3 Wu, Jie 3 Xiao, Zuoli 3 Xu, Jinchao 3 Yang, Danping 3 Yang, Jiming 3 Yang, Shuiping 3 Yang, Wei 3 Yao, Guangming 3 Yu, Changping 3 Yuan, Long 3 Zenkour, Ashraf M. 3 Zhang, Hong 3 Zhang, Hongmei 3 Zhang, Wei ...and 1,202 more Authors
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### Fields

 471 Numerical analysis (65-XX) 271 Partial differential equations (35-XX) 219 Fluid mechanics (76-XX) 107 Mechanics of deformable solids (74-XX) 35 Optics, electromagnetic theory (78-XX) 28 Calculus of variations and optimal control; optimization (49-XX) 25 Classical thermodynamics, heat transfer (80-XX) 20 Ordinary differential equations (34-XX) 20 Integral equations (45-XX) 19 Real functions (26-XX) 17 Dynamical systems and ergodic theory (37-XX) 16 Approximations and expansions (41-XX) 15 Statistical mechanics, structure of matter (82-XX) 14 Probability theory and stochastic processes (60-XX) 13 Mechanics of particles and systems (70-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 13 Biology and other natural sciences (92-XX) 12 Geophysics (86-XX) 12 Operations research, mathematical programming (90-XX) 7 Computer science (68-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Integral transforms, operational calculus (44-XX) 6 Quantum theory (81-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 5 Systems theory; control (93-XX) 5 Information and communication theory, circuits (94-XX) 4 Potential theory (31-XX) 4 Special functions (33-XX) 4 Operator theory (47-XX) 3 Statistics (62-XX) 3 Astronomy and astrophysics (85-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Difference and functional equations (39-XX) 1 Combinatorics (05-XX) 1 Topological groups, Lie groups (22-XX) 1 Functional analysis (46-XX)

### Citations contained in zbMATH Open

277 Publications have been cited 973 times in 875 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
Two-dimensional Legendre wavelets for solving time-fractional telegraph equation. Zbl 1308.65172
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.
2014
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
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
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
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
Integrating Krylov deferred correction and generalized finite difference methods for dynamic simulations of wave propagation phenomena in long-time intervals. Zbl 1488.65278
Qu, Wenzhen; Gao, Hongwei; Gu, Yan
2021
Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026
Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia
2021
On convergence of a least-squares Kansa’s method for the modified Helmholtz equations. Zbl 1262.35093
Kwok, Ting-On; Ling, Leevan
2009
Analysis and numerical approximation of an electro-elastic frictional contact problem. Zbl 1262.74017
Essoufi, El-H.; Benkhira, El-H.; Fakhar, R.
2010
Numerical method for the time fractional Fokker-Planck equation. Zbl 1262.65087
Cao, Xue-Nian; Fu, Jiang-Li; Huang, Hu
2012
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 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
Multi-symplectic wavelet collocation method for Maxwell’s equations. Zbl 1262.37034
Zhu, Huajun; Song, Songhe; Chen, Yaming
2011
High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics. Zbl 1488.65238
Duan, Junming; Tang, Huazhong
2020
A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542
Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji
2020
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
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
1D exact elastic-perfectly plastic solid Riemann solver and its multi-material application. Zbl 1488.74142
Gao, Si; Liu, Tiegang
2017
On the boundary integral equations for a two-dimensional slowly rotating highly viscous fluid flow. Zbl 1262.31006
Lesnic, D.
2009
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 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
A modified nonconforming 5-node quadrilateral transition finite element. Zbl 1262.65153
Huang, Feiteng; Xie, Xiaoping
2010
A maximum entropy method based on orthogonal polynomials for Frobenius-Perron operators. Zbl 1262.41013
Ding, Jiu; Rhee, Noah H.
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
Error estimate of a second order accurate scalar auxiliary variable (SAV) numerical method for the epitaxial thin film equation. Zbl 1488.65363
Cheng, Qing; Wang, Cheng
2021
Convergence accelerating in the homotopy analysis method: a new approach. Zbl 1488.65214
Turkyilmazoglu, M.
2018
Fractional integro-differential equations involving $$\psi$$-Hilfer fractional derivative. Zbl 1488.45022
Abdo, Mohammed S.; Panchal, Satish K.
2019
Superconvergence of rectangular mixed finite element methods for constrained optimal control problem. Zbl 1262.49007
Chen, Yanping; Dai, Li; Lu, Zuliang
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
Lower bounds for eigenvalues of the Stokes operator. Zbl 1262.65171
Hu, Jun; Huang, Yunqing
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
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
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
Error estimates for 1D asymptotic models in coaxial cables with non-homogeneous cross-section. Zbl 1262.35188
Imperiale, Sébastien; Joly, Patrick
2012
Conservative and finite volume methods for the convection-dominated pricing problem. Zbl 1305.65195
Ramírez-Espinoza, Germán I.; Ehrhardt, Matthias
2013
A solver for Helmholtz system generated by the discretization of wave shape functions. Zbl 1305.65115
Yuan, Long; Hu, Qiya
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
Finite element analysis of Maxwell’s equations in dispersive lossy bi-isotropic media. Zbl 1279.78017
Huang, Yunqing; Li, Jichun; Lin, Yanping
2013
A simplified lattice Boltzmann method without evolution of distribution function. Zbl 1488.76102
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 1488.65326
Bai, Xiao; Deng, Xiaolong
2017
A convex-splitting scheme for a diffuse interface model with Peng-Robinson equation of state. Zbl 1488.65274
Peng, Qiujin
2017
Simulation of seismic wave scattering by embedded cavities in an elastic half-plane using the novel singular boundary method. Zbl 1488.65719
Lin, Ji; Zhang, Chuanzeng; Sun, Linlin; Lu, Jun
2018
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
A note on exact solutions to linear differential equations by the matrix exponential. Zbl 1262.15034
Ma, Wen-Xiu; Gu, Xiang; Gao, Liang
2009
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
The lower bounds of eigenvalues by the Wilson element in any dimension. Zbl 1262.65175
Li, Youai
2011
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
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 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
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
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 hybrid lattice Boltzmann flux solver for simulation of viscous compressible flows. Zbl 1488.76096
Yang, L. M.; Shu, C.; Wu, J.
2016
Non-convex and convex coupling image segmentation via TGpV regularization and thresholding. Zbl 1488.94042
Wu, Tingting; Shao, Jinbo
2020
Two-grid finite volume element method combined with Crank-Nicolson scheme for semilinear parabolic equations. Zbl 1488.65351
Lou, Yuzhi; Chen, Chuanjun; Xue, Guanyu
2021
A new finite volume element formulation for the non-stationary Navier-Stokes equations. Zbl 1310.65102
Luo, Zhendong
2014
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
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
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
A comparison of the performance of limiters for Runge-Kutta discontinuous Galerkin methods. Zbl 1279.65118
Zhu, Hongqiang; Cheng, Yue; Qiu, Jianxian
2013
Asymptotic analysis of a Bingham fluid in a thin domain with Fourier and Tresca boundary conditions. Zbl 1488.35633
Dilmi, M.; Benseridi, H.; Saadallah, A.
2014
A numerical method on Eulerian grids for two-phase compressible flow. Zbl 1488.65340
Guo, Yonghui; Li, Ruo; Yao, Chengbao
2016
Uniform convergence analysis of a higher order hybrid stress quadrilateral finite element method for linear elasticity problems. Zbl 1488.65605
Bai, Yanhong; Wu, Yongke; Xie, Xiaoping
2016
New non-travelling wave solutions of Calogero equation. Zbl 1488.35161
Peng, Xiaoming; Shang, Yadong; Zheng, Xiaoxiao
2016
Nonconforming finite element method for the transmission eigenvalue problem. Zbl 1490.65253
Ji, Xia; Xi, Yingxia; Xie, Hehu
2017
A new family of difference schemes for space fractional advection diffusion equation. Zbl 07407127
Li, Can; Deng, Weihua
2017
An immersed finite element method for the elasticity problems with displacement jump. Zbl 1488.65633
Kyeong, Daehyeon; Kwak, Do Young
2017
Hamiltonian boundary value method for the nonlinear Schrödinger equation and the Korteweg-de Vries equation. Zbl 1488.65518
Song, Mingzhan; Qian, Xu; Zhang, Hong; Song, Songhe
2017
A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 1488.35652
Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V.
2020
A posteriori error estimates of the Galerkin spectral methods for space-time fractional diffusion equations. Zbl 1488.65521
Wang, Huasheng; Chen, Yanping; Huang, Yunqing; Mao, Wenting
2020
A robust Riemann solver for multiple hydro-elastoplastic solid mediums. Zbl 1488.76082
Li, Ruo; Wang, Yanli; Yao, Chengbao
2020
A mixed formulation of stabilized nonconforming finite element method for linear elasticity. Zbl 1488.65673
Zhang, Bei; Zhao, Jikun
2020
A modulus iteration method for SPSD linear complementarity problem arising in image retinex. Zbl 1488.65147
Yang, Xue; Huang, Yu-Mei
2020
Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. Zbl 1488.76089
Yang, Yang; Lei, Yanfang; Si, Zhiyong
2021
A two-level factored Crank-Nicolson method for two-dimensional nonstationary advection-diffusion equation with time dependent dispersion coefficients and source terms. Zbl 1488.65270
Ngondiep, Eric
2021
Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. Zbl 1488.35466
Qin, Chun-Yan; Tian, Shou-Fu; Zou, Li; Ma, Wen-Xiu
2018
A regularized singular boundary method for inverse Cauchy problem in three-dimensional elastostatics. Zbl 1488.65590
Zhang, Aixia; Gu, Yan; Hua, Qingsong; Chen, Wen
2018
A treecode algorithm for 3D Stokeslets and stresslets. Zbl 1488.76108
Wang, Lei; Tlupova, Svetlana; Krasny, Robert
2019
Recent advances and emerging applications of the singular boundary method for large-scale and high-frequency computational acoustics. Zbl 07480219
Li, Junpu; Fu, Zhuojia; Gu, Yan; Qin, Qing-Hua
2022
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
Recent advances and emerging applications of the singular boundary method for large-scale and high-frequency computational acoustics. Zbl 07480219
Li, Junpu; Fu, Zhuojia; Gu, Yan; Qin, Qing-Hua
2022
Numerical methods for semilinear fractional diffusion equations with time delay. Zbl 07475336
Yang, Shuiping; Liu, Yubin; Liu, Hongyu; Wang, Chao
2022
A new conservative Allen-Cahn type Ohta-Kawaski phase-field model for diblock copolymers and its numerical approximations. Zbl 07475338
Geng, Shuang; Li, Tongmao; Ye, Qiongwei; Yang, Xiaofeng
2022
Finite element method coupling penalty method for flexural shell model. Zbl 07480221
Shen, Xiaoqin; Xue, Yongjie; Yang, Qian; Zhu, Shengfeng
2022
Domain-decomposition localized method of fundamental solutions for large-scale heat conduction in anisotropic layered materials. Zbl 07528514
Liu, Shuainan; Fu, Zhuojia; Gu, Yan
2022
Ultra-chaos: an insurmountable objective obstacle of reproducibility and replication. Zbl 07528516
Liao, Shijun; Qin, Shijie
2022
Image segmentation via Fischer-Burmeister total variation and thresholding. Zbl 07528523
Wu, Tingting; Zhao, Yichen; Mao, Zhihui; Shi, Li; Li, Zhi; Zeng, Yonghua
2022
Integrating Krylov deferred correction and generalized finite difference methods for dynamic simulations of wave propagation phenomena in long-time intervals. Zbl 1488.65278
Qu, Wenzhen; Gao, Hongwei; Gu, Yan
2021
Localized method of fundamental solutions for three-dimensional elasticity problems: theory. Zbl 1488.74026
Gu, Yan; Fan, Chia-Ming; Fu, Zhuojia
2021
Error estimate of a second order accurate scalar auxiliary variable (SAV) numerical method for the epitaxial thin film equation. Zbl 1488.65363
Cheng, Qing; Wang, Cheng
2021
Two-grid finite volume element method combined with Crank-Nicolson scheme for semilinear parabolic equations. Zbl 1488.65351
Lou, Yuzhi; Chen, Chuanjun; Xue, Guanyu
2021
Unconditional stability and error estimates of the modified characteristics FEM for the time-dependent viscoelastic Oldroyd flows. Zbl 1488.76089
Yang, Yang; Lei, Yanfang; Si, Zhiyong
2021
A two-level factored Crank-Nicolson method for two-dimensional nonstationary advection-diffusion equation with time dependent dispersion coefficients and source terms. Zbl 1488.65270
Ngondiep, Eric
2021
A Galerkin-characteristic finite element method for three-dimensional convection-dominated problems. Zbl 1488.65426
Khouya, Bassou; El-Amrani, Mofdi; Seaid, Mohammed
2021
A second-order energy stable BDF numerical scheme for the viscous Cahn-Hilliard equation with logarithmic Flory-Huggins potential. Zbl 1488.65463
Wang, Danxia; Wang, Xingxing; Jia, Hongen
2021
Legendre neural network for solving linear variable coefficients delay differential-algebraic equations with weak discontinuities. Zbl 1488.65211
Liu, Hongliang; Song, Jingwen; Liu, Huini; Xu, Jie; Li, Lijuan
2021
A two-grid finite-volume method for the Schrödinger equation. Zbl 1488.65573
Zhang, Hongmei; Yin, Jianghua; Jin, Jicheng
2021
A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation. Zbl 1488.65390
Teng, Fei; Luo, Zhendong
2021
A novel B-spline method for modeling transport problems in anisotropic inhomogeneous media. Zbl 07409130
Reutskiy, Sergiy; Lin, Ji; Zheng, Bin; Tong, Jiyou
2021
A multi-dimensional shock-capturing limiter for high-order least square-based finite difference-finite volume method on unstructured grids. Zbl 1488.65349
Liu, Yangyang; Yang, Liming; Shu, Chang; Zhang, Huangwei
2021
Anisotropic yield criterion for metals exhibiting tension-compression asymmetry. Zbl 1488.74034
Chen, Lei; Zhang, Jian; Zhang, Hongjian
2021
Nonlinear hydroelastic waves traveling in a plate in terms of Plotnikov-Toland’s model. Zbl 1488.74094
Wang, Ping; Lu, Dongqiang
2021
An energy-stable finite element method for incompressible magnetohydrodynamic-Cahn-Hilliard coupled model. Zbl 1488.65489
Zhao, Jianping; Chen, Rui; Su, Haiyan
2021
A note on the generating function method. Zbl 1488.65726
Bo, Yonghui; Cai, Wenjun; Wang, Yushun
2021
A class of robust low dissipation nested multi-resolution WENO schemes for solving hyperbolic conservation laws. Zbl 1488.65563
Wang, Zhenming; Zhu, Jun; Yang, Yuchen; Tian, Linlin; Zhao, Ning
2021
The plane wave methods for the time-harmonic elastic wave problems with the complex valued coefficients. Zbl 1488.65695
Yuan, Long; Xi, Shuai; Zhang, Binlin
2021
Algebraic multigrid block triangular preconditioning for multidimensional three-temperature radiation diffusion equations. Zbl 1488.65076
Shu, Shi; Liu, Menghuan; Xu, Xiaowen; Yue, Xiaoqiang; Li, Shengguo
2021
Jacobi spectral Galerkin methods for a class of nonlinear weakly singular Volterra integral equations. Zbl 1488.65747
Kant, Kapil; Mandal, Moumita; Nelakanti, Gnaneshwar
2021
WENO interpolation-based and upwind-biased free-stream preserving nonlinear schemes. Zbl 1488.65261
Li, Qin; Sun, Dong; Xu, Fengyuan
2021
High-order accurate entropy stable finite difference schemes for one- and two-dimensional special relativistic hydrodynamics. Zbl 1488.65238
Duan, Junming; Tang, Huazhong
2020
A localized space-time method of fundamental solutions for diffusion and convection-diffusion problems. Zbl 1488.65542
Wang, Fajie; Fan, Chia-Ming; Zhang, Chuanzeng; Lin, Ji
2020
Non-convex and convex coupling image segmentation via TGpV regularization and thresholding. Zbl 1488.94042
Wu, Tingting; Shao, Jinbo
2020
A Jacobi collocation method for the fractional Ginzburg-Landau differential equation. Zbl 1488.35652
Yang, Yin; Tao, Jianyong; Zhang, Shangyou; Sivtsev, Petr V.
2020
A posteriori error estimates of the Galerkin spectral methods for space-time fractional diffusion equations. Zbl 1488.65521
Wang, Huasheng; Chen, Yanping; Huang, Yunqing; Mao, Wenting
2020
A robust Riemann solver for multiple hydro-elastoplastic solid mediums. Zbl 1488.76082
Li, Ruo; Wang, Yanli; Yao, Chengbao
2020
A mixed formulation of stabilized nonconforming finite element method for linear elasticity. Zbl 1488.65673
Zhang, Bei; Zhao, Jikun
2020
A modulus iteration method for SPSD linear complementarity problem arising in image retinex. Zbl 1488.65147
Yang, Xue; Huang, Yu-Mei
2020
An alternating direction method of multipliers for optimal control problems constrained with elliptic equations. Zbl 1488.49061
Yang, Jinda; Zhang, Kai; Song, Haiming; Cheng, Ting
2020
A fully discrete explicit multistep scheme for solving coupled forward backward stochastic differential equations. Zbl 1488.65012
Liu, Ying; Sun, Yabing; Zhao, Weidong
2020
Fitted finite volume method for pricing American options under regime-switching jump-diffusion models based on penalty method. Zbl 1488.65337
Gan, Xiaoting; Yin, Jun-Feng; Li, Rui
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 1488.65483
Yuan, Yirang; Song, Huailing; Li, Changfeng; Sun, Tongjun
2020
A parallel pressure projection stabilized finite element method for Stokes equation with nonlinear slip boundary conditions. Zbl 07409082
Zhou, Kangrui; Shang, Yueqiang
2020
Superconvergence analysis for the Maxwell’s equations in Debye medium with a thermal effect. Zbl 1488.65481
Yao, Changhui; Shi, Dongyang; Hou, Mengmeng
2020
The weak Galerkin finite element method for solving the time-dependent integro-differential equations. Zbl 1488.65470
Wang, Xiuli; Zhai, Qilong; Zhang, Ran; Zhang, Shangyou
2020
Efficient preconditioned iterative linear solvers for 3-D magnetostatic problems using edge elements. Zbl 1488.65070
Gu, Xian-Ming; Zhao, Yanpu; Huang, Tingzhu; Zhao, Ran
2020
Two-grid stabilized FEMs based on Newton type linearization for the steady-state natural convection problem. Zbl 1488.65666
Yang, Yunbo; Jiang, Yaolin; Kong, Qiongxiang
2020
Spectral collocation methods for second-order Volterra integro-differential equations with weakly singular kernels. Zbl 1488.65759
Shi, Xiulian; Chen, Yanping; Huang, Yunqing; Huang, Fenglin
2020
The convergence and superconvergence of a MFEM for elliptic optimal control problems. Zbl 1488.65614
Guan, Hongbo; Yang, Yong; Zhu, Huiqing
2020
A variable correction-based immersed boundary method for compressible flows over stationary and moving bodies. Zbl 07409044
Wang, Junjie; Li, Yadong; Wu, Jie; Qiu, Fusheng
2020
A posteriori error analysis of any order finite volume methods for elliptic problems. Zbl 1488.65680
Zhang, Yuanyuan; Yang, Min
2020
High-order local absorbing boundary conditions for fractional evolution equations on unbounded strips. Zbl 1488.65235
Dong, Haixia; Wang, Miao; Yin, Dongsheng; Zhang, Qian
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 1488.91161
Pang, Xiaowei; Song, Haiming; Wang, Xiaoshen; Zhang, Kai
2020
Solving fourth-order PDEs using the LMAPS. Zbl 1488.65685
Deng, Cheng; Zheng, Hui; Shi, Yan; Chen, C. S.
2020
The modified localized method of approximated particular solutions for linear and nonlinear convection-diffusion-reaction PDEs. Zbl 1488.65510
Li, Wen; Rubasinghe, Kalani; Yao, Guangming; Kuo, L. H.
2020
A generalization of a troubled-cell indicator to $$h$$-adaptive meshes for discontinuous Galerkin methods. Zbl 1488.65492
Zhu, Hongqiang; Han, Wenxiu; Wang, Haijin
2020
A compact difference scheme for the time-fractional partial integro-differential equation with a weakly singular kernel. Zbl 1488.45039
Guo, Jing; Xu, Da
2020
On the degenerate scale of an infinite plane containing two unequal circles. Zbl 07409076
Chen, Jeng-Tzong; Kuo, Shyh-Rong; Lien, Kuen-Ting; Huang, Yi-Ling
2020
Complex pattern formations by spatial varying parameters. Zbl 1488.35305
Li, Siqing; Ling, Leevan
2020
A high-order well-balanced discontinuous Galerkin method based on the hydrostatic reconstruction for the Ripa model. Zbl 1488.74133
Li, Jiaojiao; Li, Gang; Qian, Shouguo; Gao, Jinmei; Niu, Qiang
2020
Finite element methods for nonlinear backward stochastic partial differential equations and their error estimates. Zbl 1488.60168
Yang, Xu; Zhao, Weidong
2020
Fractional integro-differential equations involving $$\psi$$-Hilfer fractional derivative. Zbl 1488.45022
Abdo, Mohammed S.; Panchal, Satish K.
2019
A treecode algorithm for 3D Stokeslets and stresslets. Zbl 1488.76108
Wang, Lei; Tlupova, Svetlana; Krasny, Robert
2019
A dual-level method of fundamental solutions in conjunction with kernel-independent fast multipole method for large-scale isotropic heat conduction problems. Zbl 1488.65718
Li, Junpu; Fu, Zhuojia; Chen, Wen; Liu, Xiaoting
2019
A numerical framework to simplify CAD models for reliable estimates of physical quantities. Zbl 1488.65639
Li, Ming; Li, Jingzhi; Martin, Ralph; Zhang, Kai
2019
An adaptive finite element solver for demagnetization field calculation. Zbl 1488.65665
Yang, Lei; Hu, Guanghui
2019
Approximate solution of some plane boundary value problems for perforated Cosserat elastic bodies. Zbl 1488.74019
Janjgava, Roman
2019
Stability of two conservative, high-order fluid-fluid coupling methods. Zbl 1488.65415
Connors, Jeffrey M.; Dolan, Robert D.
2019
Parametric vibration analysis of pipes conveying fluid by nonlinear normal modes and a numerical iterative approach. Zbl 1488.70026
Liang, Feng; Yang, Xiaodong; Zhang, Wei; Qian, Yingjing; Melnik, Roderick V. N.
2019
Numerical simulation of non-linear Schrödinger equations in arbitrary domain by the localized method of approximate particular solution. Zbl 1488.65504
Hong, Yongxing; Lu, Jun; Lin, Ji; Chen, Wen
2019
Towards an accurate and robust Roe-type scheme for all Mach number flows. Zbl 1488.65356
Xie, Wenjia; Zhang, Ye; Chang, Qing; Li, Hua
2019
Multiderivative combined dissipative compact scheme satisfying geometric conservation law. I: Basic formulations and performance evaluation. Zbl 1488.76073
Jiang, Yi; Mao, Meiliang; Deng, Xiaogang; Liu, Huayong
2019
Multiderivative combined dissipative compact scheme satisfying geometric conservation law. II: Applications on complex curvilinear meshes. Zbl 1488.76074
Jiang, Yi; Mao, Meiliang; Deng, Xiaogang; Liu, Huayong
2019
A generalized local grid refinement approach for modeling of multi-physicochemical transports by lattice Boltzmann method. Zbl 1488.65531
Alizadeh, Amer; Wang, Moran
2019
A weak Galerkin method with $$C^0$$ element for fourth order linear parabolic equation. Zbl 1488.60165
Chai, Shimin; Zou, Yongkui; Zhao, Wenju
2019
Modified moving least square collocation method for solving wave equations. Zbl 1488.65505
Huang, Zhentian; Lei, Dong; Wang, Yuan
2019
Alternating direction implicit finite element method for multi-dimensional Black-Scholes models. Zbl 1488.65435
Li, Limei; Lapin, Alexander; Zhang, Shuhua
2019
On the numerical solution of logarithmic boundary integral equations arising in Laplace’s equations based on the meshless local discrete collocation method. Zbl 1488.65737
Assari, Pouria; Dehghan, Mehdi
2019
A modified weak Galerkin method for Stokes equations. Zbl 1488.65674
Zhang, Li; Feng, Minfu; Zhang, Jian
2019
A new robust high-order weighted essentially non-oscillatory scheme for solving well-balanced shallow water equations. Zbl 1488.65299
Wang, Zhenming; Zhu, Jun; Zhao, Ning
2019
The fast implementation of the ADI-CN method for a class of two-dimensional Riesz space-fractional diffusion equations. Zbl 1488.35583
Xing, Zhiyong; Wen, Liping
2019
A characteristics-mixed volume element method for the displacement problem of enhanced oil recovery. Zbl 1488.65359
Yuan, Yirang; Cheng, Aijie; Li, Changfeng; Sun, Tongjun; Yang, Qing
2019
A reduced basis method for the nonlinear Poisson-Boltzmann equation. Zbl 1488.65557
Ji, Lijie; Chen, Yanlai; Xu, Zhenli
2019
A family of nonconforming rectangular elements for strain gradient elasticity. Zbl 1488.65635
Liao, Yulei; Ming, Pingbing
2019
Multigrid method for poroelasticity problem by finite element method. Zbl 1488.65395
Chen, Luoping; Chen, Yanping
2019
Convergence accelerating in the homotopy analysis method: a new approach. Zbl 1488.65214
Turkyilmazoglu, M.
2018
Simulation of seismic wave scattering by embedded cavities in an elastic half-plane using the novel singular boundary method. Zbl 1488.65719
Lin, Ji; Zhang, Chuanzeng; Sun, Linlin; Lu, Jun
2018
Solitary wave and quasi-periodic wave solutions to a (3+1)-dimensional generalized Calogero-Bogoyavlenskii-Schiff equation. Zbl 1488.35466
Qin, Chun-Yan; Tian, Shou-Fu; Zou, Li; Ma, Wen-Xiu
2018
A regularized singular boundary method for inverse Cauchy problem in three-dimensional elastostatics. Zbl 1488.65590
Zhang, Aixia; Gu, Yan; Hua, Qingsong; Chen, Wen
2018
Immersed finite element method for eigenvalue problems in elasticity. Zbl 1488.65634
Lee, Seungwoo; Kwak, Do Young; Sim, Imbo
2018
Superconvergence analysis of bilinear finite element for the nonlinear Schrödinger equation on the rectangular mesh. Zbl 1488.65459
Tian, Zhikun; Chen, Yanping; Wang, Jianyun
2018
On the selection of a good shape parameter of the localized method of approximated particular solutions. Zbl 1488.65696
Zheng, Hui; Yao, Guangming; Kuo, Lei-Hsin; Li, Xinxiang
2018
Singular boundary method to simulate scattering of SH wave by the canyon topography. Zbl 1488.65723
Tang, Zhuochao; Fu, Zhuojia; Zheng, Dongjian; Huang, Jundong
2018
A direct discontinuous Galerkin method with interface correction for the compressible Navier-Stokes equations on unstructured grids. Zbl 1488.65411
Cheng, Jian; Yue, Huiqiang; Yu, Shengjiao; Liu, Tiegang
2018
A maximum-principle-preserving third order finite volume SWENO scheme on unstructured triangular meshes. Zbl 1488.65341
Guo, Yunrui; Tang, Lingyan; Zhang, Hong; Song, Songhe
2018
Size-dependent geometrically nonlinear free vibration of first-order shear deformable piezoelectric-piezomagnetic nanobeams using the nonlocal theory. Zbl 1488.74080
Gholami, Raheb; Ansari, Reza
2018
Fitted finite volume method of three transboundary pollution in Three Gorges Reservoir Area of Chongqing city with emission permits trading by cooperative stochastic differential game. Zbl 1488.49041
Lu, Zuliang; Zhang, Shuhua; Li, Lin; Cao, Longzhou; Yang, Yin
2018
An EDG method for distributed optimal control of elliptic PDEs. Zbl 1488.65678
Zhang, Xiao; Zhang, Yangwen; Singler, John
2018
Fully finite element adaptive AMG method for time-space Caputo-Riesz fractional diffusion equations. Zbl 1488.65484
Yue, X. Q.; Bu, W. P.; Shu, S.; Liu, M. H.; Wang, S.
2018
The plane wave methods combined with local spectral finite elements for the wave propagation in anisotropic media. Zbl 1488.65694
Yuan, Long; Hu, Qiya
2018
Mixed finite element methods for elastodynamics problems in the symmetric formulation. Zbl 1488.65478
Yang, Yan; Zhang, Shiquan
2018
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