## International Journal of Numerical Analysis and Modeling

 Short Title: Int. J. Numer. Anal. Model. Publisher: Institute for Scientific Computing and Information (ISCI), Edmonton, Alberta; Wuhan University, Wuhan ISSN: 1705-5105; 2617-8710/e Online: https://www.global-sci.org/ijnam/periodical_list.html Comments: Indexed cover-to-cover; In 2015 the journal incorporated: Int. J. Numer. Anal. Model., Ser. B (ISSN 1923-2942; 1923-2950/e)
 Documents Indexed: 793 Publications (since 2004) References Indexed: 205 Publications with 5,682 References.
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### Latest Issues

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### Authors

 12 Ye, Xiu 12 Zhang, Zhimin 11 Chen, Zhangxin 11 He, Yinnian 11 Pani, Amiya Kumar 9 Lin, Yanping 9 Wang, Junping 8 Liu, Steve Wenbin 8 Tai, Xuecheng 8 Temam, Roger Meyer 7 Baccouch, Mahboub 7 Cao, Yanzhao 7 Houston, Paul 7 Lin, Tao 7 Schurz, Henri 7 Shu, Chi-Wang 7 Wang, Hong 7 Zhang, Shangyou 7 Zou, Qingsong 6 Cao, Liqun 6 Gracia, José Luis 6 Li, Zhilin 6 Liang, Dong 6 Wang, Cheng 6 Xie, Hehu 6 Xu, Yuesheng 6 Yan, Ningning 5 Chen, Yanping 5 Gunzburger, Max D. 5 Hu, Qiya 5 Huang, Yunqing 5 Ju, Lili 5 Jung, Changyeol 5 Layton, William J. 5 Lee, Hyesuk Kwon 5 Li, Jian 5 Peszyńska, Małgorzata 5 Shi, Dongyang 5 Wong, Yau Shu 5 Yang, Xiaozhong 4 Chen, Chuanmiao 4 Chen, Ke 4 Clavero, Carmelo 4 Fernández, Jose Ramon 4 Gaspar, Francisco José 4 Ge, Liang 4 Huang, Qiumei 4 Neda, Monika 4 Nie, Yufeng 4 O’Riordan, Eugene 4 Qiao, Zhonghua 4 Rebholz, Leo G. 4 Sheen, Dongwoo 4 Shi, Zhongci 4 Sun, Pengtao 4 Sun, Tongjun 4 Sun, Weiwei 4 Tveito, Aslak 4 Wang, Kaixin 4 Wang, Kun 4 Yang, Hongtao 3 Allegretto, Walter 3 Boglaev, Igor P. 3 Bokil, Vrushali A. 3 Chen, Hongsen 3 Chou, So-Hsiang 3 Chrysafinos, Konstantinos 3 Chung, Tsz Shun Eric 3 Cui, Ming 3 Deng, Jian 3 Deng, Xiaomao 3 Du, Qiang 3 Feng, Xinlong 3 Glowinski, Roland 3 Gong, Wei 3 Hanslien, Monica 3 Iliescu, Traian 3 Kaya, Songul 3 Kopteva, Natalia Viktorovna 3 Kumar, Sarvesh 3 Li, Buyang 3 Li, Jichun 3 Li, Kaitai 3 Linß, Torsten 3 Meddahi, Salim 3 Mei, Ming 3 Miller, John James Henry 3 Mu, Lin 3 Nicaise, Serge 3 Nielsen, Bjørn Fredrik 3 Qin, Guan 3 Risebro, Nils Henrik 3 Rodrigo, Carmen 3 Schneier, Michael 3 Shen, Wanfang 3 Showalter, Ralph E. 3 Shu, Shi 3 Tone, Florentina 3 Tong, Weiqin 3 Vabishchevich, Pëtr Nikolaevich ...and 1,222 more Authors
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### Fields

 660 Numerical analysis (65-XX) 359 Partial differential equations (35-XX) 174 Fluid mechanics (76-XX) 97 Calculus of variations and optimal control; optimization (49-XX) 58 Probability theory and stochastic processes (60-XX) 52 Mechanics of deformable solids (74-XX) 46 Ordinary differential equations (34-XX) 39 Biology and other natural sciences (92-XX) 29 Optics, electromagnetic theory (78-XX) 20 Computer science (68-XX) 19 Geophysics (86-XX) 18 Operations research, mathematical programming (90-XX) 17 Dynamical systems and ergodic theory (37-XX) 17 Statistical mechanics, structure of matter (82-XX) 17 Systems theory; control (93-XX) 17 Information and communication theory, circuits (94-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Approximations and expansions (41-XX) 8 Integral equations (45-XX) 7 Operator theory (47-XX) 7 Statistics (62-XX) 7 Classical thermodynamics, heat transfer (80-XX) 5 General and overarching topics; collections (00-XX) 5 Real functions (26-XX) 5 Global analysis, analysis on manifolds (58-XX) 4 Combinatorics (05-XX) 4 Integral transforms, operational calculus (44-XX) 3 History and biography (01-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Special functions (33-XX) 3 Mechanics of particles and systems (70-XX) 3 Quantum theory (81-XX) 2 Measure and integration (28-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Functional analysis (46-XX) 2 Differential geometry (53-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX)

### Citations contained in zbMATH Open

534 Publications have been cited 3,249 times in 2,741 Documents Cited by Year
Weak Galerkin finite element methods on polytopal meshes. Zbl 1332.65172
Mu, Lin; Wang, Junping; Ye, Xiu
2015
Immersed finite element methods for elliptic interface problems with non-homogeneous jump conditions. Zbl 1211.65155
He, Xiaoming; Lin, Tao; Lin, Yanping
2011
Error analysis of linearized semi-implicit Galerkin finite element methods for nonlinear parabolic equations. Zbl 1281.65122
Li, Buyang; Sun, Weiwei
2013
Convergence and stability of implicit methods for jump-diffusion systems. Zbl 1109.65007
Higham, Desmond J.; Kloeden, Peter E.
2006
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. I: Method formulation. Zbl 1129.76030
Hartmann, Ralf; Houston, Paul
2006
Error estimates and superconvergence of mixed finite element for quadratic optimal control. Zbl 1125.49026
Chen, Yanping; Liu, Wenbin
2006
Shishkin meshes in the numerical solution of singularly perturbed differential equations. Zbl 1197.65094
Kopteva, Natalia; O’Riordan, Eugene
2010
A general strategy for numerical approximations of non-equilibrium models. I: Thermodynamical systems. Zbl 1412.65099
Zhao, Jia; Yang, Xiaofeng; Gong, Yuezheng; Zhao, Xueping; Yang, Xiaogang; Li, Jun; Wang, Qi
2018
Numerical analysis for a nonlocal Allen-Cahn equation. Zbl 1165.65051
Bates, Peter W.; Brown, Sarah; Han, Jianlong
2009
Numerical methods for the extended Fisher-Kolmogorov (EFK) equation. Zbl 1111.65085
Danumjaya, Palla; Pani, Amiya Kumar
2006
An optimal 9-point finite difference scheme for the Helmholtz equation with PML. Zbl 1272.65081
Chen, Zhongying; Cheng, Dongsheng; Feng, Wei; Wu, Tingting
2013
Low order Crouzeix-Raviart type nonconforming finite element methods for approximating Maxwell’s equations. Zbl 1160.78315
Shi, Dongyang; Pei, Lifang
2008
Symmetric interior penalty DG methods for the compressible Navier-Stokes equations. II. Goal-oriented a posteriori error estimation. Zbl 1152.76429
Hartmann, Ralf; Houston, Paul
2006
Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361
Guo, Ruchi; Lin, Tao; Zhuang, Qiao
2019
Convergence of Rothe scheme for hemivariational inequalities of parabolic type. Zbl 1269.65066
Kalita, Piotr
2013
Numerical analysis of a finite element Crank-Nicolson discretization for MHD flows at small magnetic Reynolds numbers. Zbl 1266.76066
Yuksel, Gamze; Ingram, Ross
2013
A survey on multiple level set methods with applications for identifying piecewise constant functions. Zbl 1076.49020
Tai, Xue-Cheng; Chan, Tony F.
2004
Superconvergence of tetrahedral linear finite element. Zbl 1100.65084
Chen, Long
2006
A fast second-order finite difference method for space-fractional diffusion equations. Zbl 1279.65095
Basu, Treena S.; Wang, Hong
2012
An $$H^1$$-Galerkin mixed method for second order hyperbolic equations. Zbl 1082.65100
Pani, Amiya K.; Sinha, Rajen K.; Otta, Ajaya K.
2004
A numerical approach for solving a class of a singular boundary value problems arising in physiology. Zbl 1211.65097
Abukhaled, M.; Khuri, S. A.; Sayfy, A.
2011
Finite volume element method for second order hyperbolic equations. Zbl 1134.65069
Kumar, Sarvesh; Nataraj, Neela; Pani, Amiya K.
2008
The local discontinuous Galerkin method for optimal control problem governed by convection diffusion equations. Zbl 1195.65086
Zhou, Zhaojie; Yan, Ningning
2010
A new energy-conserved S-FDTD scheme for Maxwell’s equations in metamaterials. Zbl 1277.78033
Li, Wanshan; Liang, Dong; Lin, Yanping
2013
High degree immersed finite element spaces by a least squares method. Zbl 1429.65291
Adjerid, Slimane; Guo, Ruchi; Lin, Tao
2017
Numerical analysis of a higher order time relaxation model of fluids. Zbl 1242.76061
Ervin, Vincent J.; Layton, William J.; Neda, Monika
2007
Optimal design of the support of the control for the 2-D wave equation: a numerical method. Zbl 1242.49091
Münch, Arnaud
2008
An efficient collocation method for a non-local diffusion model. Zbl 1280.65134
Tian, Hao; Wang, Hong; Wang, Wenqia
2013
$$L^\infty$$-error estimates and superconvergence in maximum norm of mixed finite element methods for nonfickian flows in porous media. Zbl 1151.76594
Ewing, Richard E.; Lin, Yanping; Wang, Junping; Zhang, Shuhua
2005
A slope limiting procedure in discontinuous Galerkin finite element method for gasdynamics applications. Zbl 1151.76530
Tu, Shuangzhang; Aliabadi, Shahrouz
2005
A finite element method for elasticity interface problems with locally modified triangulations. Zbl 1208.74170
Xie, Hui; Li, Zhilin; Qiao, Zhonghua
2011
Interior layers in a reaction-diffusion equation with a discontinuous diffusion coefficient. Zbl 1202.65096
de Falco, Carlo; O’Riordan, Eugene
2010
Polynomial preserving gradient recovery and a posteriori estimate for bilinear element on irregular quadrilaterals. Zbl 1071.65145
Zhang, Zhimin
2004
Stability of the kinematically coupled $$\beta$$-scheme for fluid-structure interaction problems in hemodynamics. Zbl 1332.35281
Čanič, Sunčica.; Muha, Boris; Bukac, Martina
2015
A hybridized weak Galerkin finite element method for the biharmonic equation. Zbl 1337.65160
Wang, Chunmei; Wang, Junping
2015
A priori error estimates for semidiscrete finite element approximation to equations of motion arising in Oldroyd fluids of order one. Zbl 1429.76070
Goswami, Deepjyoti; Pani, Amiya K.
2011
Second-order parameter-uniform convergence for a finite difference method for a singularly perturbed linear parabolic system. Zbl 1279.65104
Franklin, V.; Paramasivam, M.; Miller, J. J. H.; Valarmathi, S.
2013
Quintic spline solutions of fourth order boundary-value problems. Zbl 1132.65069
Siddiqi, Shahid S.; Akram, Ghazala
2008
A computational scheme for option under jump diffusion processes. Zbl 1159.91402
Zhang, Kai; Wang, Song
2009
ANOVA expansions and efficient sampling methods for parameter dependent nonlinear PDEs. Zbl 1161.65336
Cao, Yanzhao; Chen, Zheng; Gunzburger, Max
2009
Well flow models for various numerical methods. Zbl 1158.76393
Chen, Zhangxin; Zhang, Youqian
2009
Global superconvergence for optimal control problems governed by Stokes equations. Zbl 1126.49028
Liu, Huipo; Yan, Ningning
2006
Numerical approximation of two-dimensional convection-diffusion equations with multiple boundary layers. Zbl 1103.65115
Jung, Changyeol; Temam, Roger
2005
Mean square convergence of stochastic $$\theta$$-methods for nonlinear neutral stochastic differential delay equations. Zbl 1215.65014
Gan, Siqing; Schurz, Henri; Zhang, Haomin
2011
Sstability and dispersion analysis of the staggered discontinuous Galerkin method for wave propagation. Zbl 1268.65133
Chan, Hiu Ning; Chung, Eric T.; Cohen, Gary
2013
Convergence of the time-domain perfectly matched layer method for acoustic scattering problems. Zbl 1158.76394
Chen, Zhiming
2009
Nonconforming mixed finite element method for the stationary conduction-convection problem. Zbl 1165.65080
Shi, Dongyang; Ren, Jincheng
2009
Error analysis of a finite difference scheme for the epitaxial thin film model with slope selection with an improved convergence constant. Zbl 1371.35143
Qiao, Zhonghua; Wang, Cheng; Wise, Steven M.; Zhang, Zhengru
2017
Analysis of a Cartesian PML approximation to the three dimensional electromagnetic wave scattering problem. Zbl 1277.78030
Bramble, James H.; Pasciak, Joseph E.
2012
Modeling, analysis and discretization of stochastic logistic equations. Zbl 1128.65008
Schurz, Henri
2007
Stability-preserving finite difference methods for general multi-dimensional autonomous dynamical systems. Zbl 1113.37065
Dimitrov, Dobromir T.; Kojouharov, Hristo V.
2007
Control of geometry induced error in $$hp$$ finite element (FE) simulation. I: Evaluation of FE error for curvilinear geometries. Zbl 1073.65122
Xue, Dong; Demkowicz, Leszek
2005
Uniform $$L^p$$-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
2018
The multiscale discontinuous Galerkin method for solving a class of second order elliptic problems with rough coefficients. Zbl 1239.65073
Wang, Wei; Guzman, Johnny; Shu, Chi-Wang
2011
Interval-based reduced order models for unsteady fluid flow. Zbl 1133.37342
Borggaard, Jeff; Hay, Alexander; Pelletier, Dominique
2007
Numerical analysis and testing of a fully discrete, decoupled penalty-projection algorithm for MHD in Elsässer variable. Zbl 1345.76114
Akbas, Mine; Kaya, Songul; Mohebujjaman, Muhammad; Rebholz, Leo G.
2016
Unified a posteriori error estimator for finite element methods for the Stokes equations. Zbl 1452.76059
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2013
Convergence and superconvergence of a nonconforming finite element on anisotropic meshes. Zbl 1122.65098
Mao, Shipeng; Chen, Shaochun; Shi, Dongyang
2007
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
2020
A third order linearized bdfscheme for Maxwell’s equations with nonlinear conductivity using finite element method. Zbl 1383.78044
Yao, Changhui; Lin, Yanping; Wang, Cheng; Kou, Yanli
2017
Superconvergence properties of discontinuous Galerkin methods for two-point boundary value problems. Zbl 1110.65074
Chen, Hongsen
2006
Locating natural superconvergent points of finite element methods in 3D. Zbl 1071.65140
Zhang, Zhimin; Lin, Runchang
2005
Improved error estimates of a finite difference/spectral method for time-fractional diffusion equations. Zbl 1329.65201
Lv, Chunwan; Xu, Chuanju
2015
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui
2011
A posteriori error estimate for stabilized finite element methods for the Stokes equations. Zbl 1431.76093
Wang, Junping; Wang, Yanqiu; Ye, Xiu
2012
Unconditional convergence of high-order extrapolations of the Crank-Nicolson, finite element method for the Navier-Stokes equations. Zbl 1264.76060
Ingram, Ross
2013
Equivalent a posteriori error estimates for a constrained optimal control problem governed by parabolic equations. Zbl 1266.65198
Sun, Tongjun; Ge, Liang; Liu, Wenbin
2013
Convergence of numerical approximations to a phase field bending elasticity model of membrane deformations. Zbl 1130.74046
Du, Qiang; Wang, Xiaoqiang
2007
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
2020
A piecewise constant level set framework. Zbl 1125.49031
Lie, Johan; Lysaker, Marius; Tai, Xuecheng
2005
A priori and a posteriori error estimates for Boussinesq equations. Zbl 1143.76419
Allali, Karam
2005
Global convergence of a posteriori error estimates for the discontinuous Galerkin method for one-dimensional linear hyperbolic problems. Zbl 1310.65118
Baccouch, M.
2014
Asymptotically exact local discontinuous Galerkin error estimates for the linearized Korteweg-de Vries equation in one space dimension. Zbl 1329.65218
Baccouch, Mahboub
2015
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
2018
Simulating the axisymmetric interfacial flows with insoluble surfactant immersed boundary method. Zbl 1208.76099
Lai, Ming-Chih; Huang, Chung-Yin; Huang, Yi-Min
2011
Optimal error estimates of the local discontinuous Galerkin method for Willmore flow of graphs on Cartesian meshes. Zbl 1215.65153
Ji, Liangyue; Xu, Yan
2011
On fully discrete finite element schemes for equations of motion of Kelvin-Voigt fluids. Zbl 1264.76056
Bajpai, S.; Nataraj, N.; Pani, A.
2013
Second order uniform approximations for the solution of time dependent singularly perturbed reaction-diffusion systems. Zbl 1214.65044
Clavero, Carmelo; Gracia, José Luis; Lisbona, Fransisco
2010
A posteriori error estimation for a singularly perturbed problem with two small parameters. Zbl 1197.65099
Linss, Torsten
2010
Analysis of an alternating direction method applied to singularly perturbed reaction-diffusion problems. Zbl 1195.65119
Linss, Torsten; Madden, Niall
2010
A note on optimal spectral bounds for nonoverlapping domain decomposition preconditioners for $$hp$$-version discontinuous Galerkin methods. Zbl 1350.65134
Antonietti, Paola F.; Houston, Paul; Smears, Iain
2016
Weak Galerkin finite element method for second order parabolic equations. Zbl 1362.65110
Zhang, Hongqin; Zou, Yongkui; Xu, Yingxiang; Zhai, Qilong; Yue, Hua
2016
A new finite element for interface problems having Robin type jump. Zbl 1429.65277
Kwak, Do Y.; Lee, Seungwoo; Hyon, Yunkyong
2017
A hybridizable weak Galerkin method for the Helmholtz equation with large wave number: $$hp$$ analysis. Zbl 1429.65278
Wang, Jiangxing; Zhang, Zhimin
2017
Superconvergence studies of quadrilateral nonconforming rotated $$Q_1$$ elements. Zbl 1096.65109
Ming, Pingbing; Shi, Zhong-Ci; Xu, Yun
2006
Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101
Mei, Ming; Zhang, Kaijun; Zhang, Qifeng
2019
Convergence and stability of balanced implicit methods for systems of SDEs. Zbl 1078.65007
Schurz, Henri
2005
Optimal $${\mathcal H}_2$$ model reduction for large scale MIMO systems via tangential interpolation. Zbl 1213.93089
Xu, Yuesheng; Zeng, Taishan
2011
Mixed FEM of higher order for contact problems with fiction. Zbl 1330.74180
Schroder, Andreas; Blum, Heribert; Rademacher, Andreas; Kleemann, Heiko
2011
Adaptive mesh refinement for elliptic interface problems using the non-conforming immersed finite element method. Zbl 1263.65125
Wu, Chin-Tien; Li, Zhilin; Lai, Ming-Chih
2011
Anisotropic $$hp$$-adaptive discontinuous Galerkin finite element methods for compressible fluid flows. Zbl 1263.76042
Giani, Stefano; Houston, Paul
2012
Discontinuous Galerkin method for monotone nonlinear elliptic problems. Zbl 1268.65149
Bi, Chunjia; Lin, Yanping
2012
The immersed finite element method for parabolic problems using the Laplace transformation in time discretization. Zbl 1267.65135
Lin, Tao; Sheen, Dongwoo
2013
A uniformly optimal-order error estimate of an ELLAM scheme for unsteady-state advection-diffusion equations. Zbl 1180.35585
Wang, Kaixin
2008
Invalidity of decoupling a biharmonic equation to two Poisson equations on non-convex polygons. Zbl 1136.35024
Zhang, Sheng; Zhang, Zhimin
2008
$$L^{\infty}$$-error estimates for general optimal control problem by mixed finite element methods. Zbl 1160.35551
Xing, Xiaoqing; Chen, Yanping
2008
A note on the construction of function spaces for distributed miscrostructure models with spatially varying cell geometry. Zbl 1172.46016
Meier, Sebastian; Böhm, Michael
2008
Analysis of stabilized finite volume method for the transient Stokes equations. Zbl 1165.65052
Shen, Lihua; Li, Jian; Chen, Zhangxin
2009
Finite volume approximation of two-dimensional stiff problems. Zbl 1194.65127
Jung, Chang-Yeol; Temam, Roger
2010
Parallel preconditioners for plane wave Helmholtz and Maxwell systems with large wave numbers. Zbl 1360.65285
Yuan, Long; Hu, Qiya; An, Hengbin
2016
Approximate solution of a nonlinear fractional-order HIV model using homotopy analysis method. Zbl 07509157
Naik, Parvaiz Ahmad; Ghoreishi, Mohammad; Zu, Jian
2022
Clipping over dissipation in turbulence models. Zbl 1490.76106
Kean, Kiera; Layton, William; Schneier, Michael
2022
A positivity-preserving and convergent numerical scheme for the binary fluid-surfactant system. Zbl 07455342
Qin, Yuzhe; Wang, Cheng; Zhang, Zhengru
2021
Approximations by MINI mixed finite element for the Stokes-Darcy coupled problem on curved domains. Zbl 1471.74067
Armentano, María Gabriela; Stockdale, María Lorena
2021
A $$\mathcal{P}_2$$-$$\mathcal{P}_1$$ partially penalized immersed finite element method for Stokes interface problem. Zbl 1486.65243
Chen, Yuan; Zhang, Xu
2021
Error estimates for the Laplace interpolation on convex polygons. Zbl 07455338
Zhang, Weiwei; Hu, Long; Yang, Zongze; Nie, Yufeng
2021
The arbitrary Lagrangian-Eulerian finite element method for a transient Stokes/parabolic interface problem. Zbl 07455339
Kesler, Ian; Lan, Rihui; Sun, Pengtao
2021
Stabilized invariant energy quadratization (S-IEQ) method for the molecular beam epitaxial model without slope section. Zbl 07479354
Zhang, Hui; Yang, Xiaofeng; Zhang, Jun
2021
Numerical simulations for shallow water flows over erodible beds by central DG methods. Zbl 1471.65155
Xian, Weizhi; Chen, Aimin; Cheng, Yongping; Dong, Haiyun
2021
Multi-scale non-standard fourth-order PDE in image denoising and its fixed point algorithm. Zbl 1471.65126
Theljani, Anis
2021
A stochastic gradient descent method for the design of optimal random interface in thin-film solar cells. Zbl 07455341
Wang, Dan; Cao, Yanzhao; Li, Qiang; Shen, Jihong
2021
A deep learning Galerkin method for the second-order linear elliptic equations. Zbl 07455343
Li, Jian; Zhang, Wen; Yue, Jing
2021
Fast Gauss-related quadrature for highly oscillatory integrals with logarithm and Cauchy-logarithmic type singularities. Zbl 07455344
Kayijuka, Idrissa; Ege, Serife Muge; Topal, Fatma Serap; Konuralp, Ali
2021
A modified primal-dual weak Galerkin finite element method for second order elliptic equations in non-divergence form. Zbl 07455347
Wang, Chunmei
2021
Global well-posedness for Navier-Stokes-Darcy equations with the free interface. Zbl 07479352
Zhao, Bin; Zhang, Mingyue; Liang, Chuangchuang
2021
A fully discrete, decoupled scheme with different time steps for approximating nematic liquid crystal flow. Zbl 07479362
Li, Ting; Huang, Pengzhan; He, Yinnian
2021
A conforming discontinuous Galerkin finite element method. II. Zbl 1465.65151
Ye, Xiu; Zhang, Shangyou
2020
A conforming discontinuous Galerkin finite element method. Zbl 1465.65150
Ye, Xiu; Zhang, Shangyou
2020
Theoretical and numerical studies on global stability of traveling waves with oscillations for time-delayed nonlocal dispersion equations. Zbl 1462.35129
Xu, Tianyuan; Ji, Shanming; Rui, Huang; Mei, Ming; Yin, Jingxue
2020
A time-accurate, adaptive discretization for fluid flow problems. Zbl 07244844
DeCaria, Victor; Layton, William; Zhao, Haiyun
2020
Analysis of artificial dissipation of explicit and implicit time-integration methods. Zbl 1471.65120
Öffner, Philipp; Glaubitz, Jan; Ranocha, Hendrik
2020
A numerical approach to study the thermal influence on gas hydrates by physical process splitting. Zbl 1471.76051
Poveshchenko, Yury; Rahimly, Parvin; Rahimly, Orkhan; Podryga, Viktoriia; Gasilova, Irina
2020
Modifying the split-step $$\theta$$-method with harmonic-mean term for stochastic differential equations. Zbl 1471.65013
Nouri, Kazem; Ranjbar, Hassan; Cortés López, Juan Carlos
2020
CS-MRI reconstruction based on the constrained TGV-shearlet scheme. Zbl 1471.92193
Wu, Tingting; Pang, Zhi-Feng; Wang, Youguo; Yang, Yu-Fei
2020
The property of the branch of nonsingular finite element/finite volume solutions to the stationary Navier-Stokes equations and its application. Zbl 1465.65141
Li, Jian; He, Yinnian
2020
Conforming harmonic finite elements on the Hsieh-Clough-Tocher split of a triangle. Zbl 1465.65146
Sorokina, Tatyana; Zhang, Shangyou
2020
A finite difference method for stochastic nonlinear second-order boundary-value problems driven by additive noisese. Zbl 1471.65011
Baccouch, Mahboub
2020
A conforming discontinuous Galerkin finite element method. III. Zbl 1484.65308
Ye, Xiu; Zhang, Shangyou
2020
A POD-based fast algorithm for the nonlocal unsteady problems. Zbl 1482.65190
Zhang, Shangyuan; Nie, Yufeng
2020
Long time stability of a linearly extrapolated blended BDF scheme for multiphysics flows. Zbl 07244676
Çibik, Aytekin; Eroglu, Fatma G.; Kaya, Songul
2020
Analysis of a second-order decoupled time-stepping scheme for transient viscoelastic flow. Zbl 07244678
Ravindran, S. S.
2020
3D $$B_2$$ model for radiative transfer equation. Zbl 07244680
Li, Ruo; Li, Weiming
2020
A finite difference scheme for Caputo-Fabrizio fractional differential equations. Zbl 07244841
Guo, Xu; Li, Yutian; Zeng, Tieyong
2020
Provably size-guaranteed mesh generation with superconvergence. Zbl 07244843
Li, Xiangrong; Qi, Nan; Zhang, Weiwei; Nie, Yufeng
2020
Efficient Galerkin-mixed FEMs for incompressible miscible flow in porous media. Zbl 07408989
Sun, Weiwei; Wu, Chengda
2020
Fitted front tracking methods for two-phase ncompressible Navier-Stokes flow: Eulerian and ALE finite element discretizations. Zbl 1471.76084
Agnese, Marco; Nürnberg, Robert
2020
Weak Galerkin method for the Helmholtz equation with DtN boundary condition. Zbl 1471.65197
Hu, Qingjie; He, Yinnian; Wang, Kun
2020
Numerical analysis of a history-dependent variational-hemivariational inequality for a viscoplastic contact problem. Zbl 1481.65179
Cheng, Xiaoliang; Wang, Xilu
2020
Improved error estimation for the partially penalized immersed finite element methods for elliptic interface problems. Zbl 1427.65361
Guo, Ruchi; Lin, Tao; Zhuang, Qiao
2019
Global stability of critical traveling waves with oscillations for time-delayed reaction-diffusion equations. Zbl 1425.35101
Mei, Ming; Zhang, Kaijun; Zhang, Qifeng
2019
A second-order Crank-Nicolson method for time-fractional PDEs. Zbl 1406.65060
Gunzburger, Max; Wang, Jilu
2019
A partitioned method with different time steps for coupled Stokes and Darcy flows with transport. Zbl 1427.65215
Zhang, Jingyuan; Rui, Hongxing; Cao, Yanzhao
2019
Wong-Zakai approximations of stochastic Allen-Cahn equation. Zbl 1431.60067
Liu, Zhihui; Qiao, Zhonghua
2019
Convexity splitting in a phase field model for surface diffusion. Zbl 07017833
Backofen, Rainer; Wise, Steven M.; Salvalaglio, Marco; Voigt, Axel
2019
Analysis of a special immersed finite volume method for elliptic interface problems. Zbl 1431.65200
Liu, Kai; Zou, Qingsong
2019
Optimal error estimates of the local discontinuous Galerkin method for the two-dimensional sine-Gordon equation on Cartesian grids. Zbl 1427.65214
Baccouch, Mahboub
2019
Discontinuous Galerkin methods for the biharmonic problem on polygonal and polyhedral meshes. Zbl 1434.65249
Dong, Zhaonan
2019
Distributed Lagrange multiplier-fictitious domain finite element method for Stokes interface problems. Zbl 1434.65269
Lundberg, Andrew; Sun, Pengtao; Wang, Cheng
2019
An iterative approach for constructing immersed finite element spaces and applications to interface problems. Zbl 1408.65090
Wang, Cheng; Sun, Pengtao; Li, Zhilin
2019
Analysis of pollution-free approaches for multi-dimensional Helmholtz equations. Zbl 1427.65332
Wang, Kun; Wong, Yau Shu; Huang, Jizu
2019
Numerical solution of a transient three-dimensional eddy current model with moving conductors. Zbl 1434.65174
Bermudez, Alfredo; López-Rodríguez, Bibiana; Rodríguez, Rodolfo; Salgado, Pilar
2019
An efficient multigrid method for ground state solution of Bose-Einstein condensates. Zbl 1434.65287
Zhang, Ning; Xu, Fei; Xie, Hehu
2019
Strong convergence and stability of the semi-tamed and tamed Euler schemes for stochastic differential equations with jumps under non-global Lipschitz condition. Zbl 1476.65012
Tambue, Antoine; Mukam, Jean Daniel
2019
A numerical method for solving the variable coefficient wave equation with interface jump conditions. Zbl 1412.65226
Wang, Liqun; Hou, Songming; Shi, Liwei; Zhang, Ping
2019
An optimal EDG method for distributed control of convection diffusion PDEs. Zbl 1427.65387
Zhang, Xiao; Zhang, Yangwen; Singler, John R.
2019
Coupling method of plane wave DG and boundary element for electromagnetic scattering. Zbl 1427.78029
Hu, Qiya; Guo, Xingyue; Liu, Yang; Zhou, Haijing
2019
Dynamic load balancing for the parallel, adaptive, multigrid solution of implicit phase-field simulations. Zbl 1408.65052
Chen, Meng-Huo; Bollada, Peter C.; Jimack, Peter K.
2019
Preconditioning a coupled model for reactive transport in porous media. Zbl 1412.65126
Amir, Laila; Kern, Michel
2019
Convergence to equilibrium of a DC algorithm for an epitaxial growth model. Zbl 1427.65289
Khalfi, Hamza; Pierre, Morgan; Alaa, Nour Eddine; Guedda, Mohammed
2019
Orthogonal spline collocation for singularly perturbed reaction diffusion problems in one dimension. Zbl 1427.65126
Mishra, Pankaj; Sharma, Kapil K.; Pani, Amiya K.; Faiweather, Graeme
2019
Color-to-gray conversion with perceptual preservation and dark channel prior. Zbl 1452.65110
Liu, Jun; Fang, Faming; Du, Ning
2019
Numerical analysis of an energy-conservation scheme for two-dimensional Hamiltonian wave equations with Neumann boundary conditions. Zbl 1407.35008
Liu, Changying; Shi, Wei; Wu, Xinyuan
2019
Reliable and efficient a posteriori error estimates of DG methods for a simplified frictional contact problem. Zbl 1412.65193
Wang, Fei; Han, Weimin
2019
FEM-analysis on graded meshes for turning point problems exhibiting an interior layer. Zbl 1427.65118
Becher, Simon
2019
Formulas of numerical differentiation on a uniform mesh for functions with the exponential boundary layer. Zbl 1452.65043
Zadorin, Alexander; Tikhovskaya, Svetlana
2019
Error analysis of an immersed finite element method for time-dependent beam interface problems. Zbl 1427.65341
Lin, Min
2019
Postprocessing of continuous Galerkin solutions for delay differential equations with nonlinear vanishing delay. Zbl 1431.65127
Huang, Qiumei; Jiang, Kun; Xu, Xiuxiu
2019
A posteriori error analysis of an augmented dual-mixed method in linear elasticity with mixed boundary conditions. Zbl 1434.65223
Barrios, Tomás P.; Behrens, Edwin M.; González, María
2019
Using $$p$$-refinement to increase boundary derivative convergence rates. Zbl 1434.65281
Wells, David; Banks, Jeffrey
2019
A new a posteriori error estimate for the interior penalty discontinuous Galerkin method. Zbl 1408.65081
Yang, Wei; Cao, Luling; Huang, Yunqing; Cui, Jintao
2019
An embedded SDG method for the convection-diffusion equation. Zbl 1408.65087
Cheung, Siu; Chung, Eric T.
2019
A time second-order characteristic finite element method for nonlinear advection-diffusion equations. Zbl 1408.65079
Hou, Baohui; Liang, Dong
2019
A discontinuous Ritz method for a class of calculus of variations problems. Zbl 1408.65089
Feng, Xiaobing; Schnake, Stefan
2019
A general strategy for numerical approximations of non-equilibrium models. I: Thermodynamical systems. Zbl 1412.65099
Zhao, Jia; Yang, Xiaofeng; Gong, Yuezheng; Zhao, Xueping; Yang, Xiaogang; Li, Jun; Wang, Qi
2018
Uniform $$L^p$$-bound of the Allen-Cahn equation and its numerical discretization. Zbl 1408.65076
Yang, Jiang; Du, Qiang; Zhang, Wei
2018
A higher-order ensemble/proper orthogonal decomposition method for the nonstationary Navier-Stokes equations. Zbl 1402.35207
Gunzburger, Max; Jiang, Nan; Schneier, Michael
2018
Symmetric high order Gautschi-type exponential wave integrators pseudospectral method for the nonlinear Klein-Gordon equation in the nonrelativistic limit regime. Zbl 1397.65165
Wang, Yan; Zhao, Xiaofei
2018
An ensemble-based conventional turbulence model for fluid-fluid interaction. Zbl 1395.76039
Connors, Jeffrey M.
2018
Ensemble timestepping algorithms for natural convection. Zbl 1397.65157
Fiordilino, Joseph Anthony; Khankan, Sarah
2018
An asymptotic preserving implicit unified gas kinetic scheme for frequency-dependent radiative transfer equations. Zbl 1410.82022
Sun, Wenjun; Jiang, Song; Xu, Kun
2018
Linear and quadratic immersed finite element methods for the multi-layer porous wall model for coronary drug-eluting stents. Zbl 1406.76054
Zhang, Huili; Lin, Tao; Lin, Yanping
2018
Penalty projection schemes for the Cahn-Hilliard Navier-Stokes diffuse interface model of two phase flow, and their connection to divergence-free coupled schemes. Zbl 1395.35109
Rebholz, Leo G.; Wise, Steven M.; Xiao, Mengying
2018
Fully computable error bounds for eigenvalue problem. Zbl 1412.65200
Hong, Qichen; Xie, Hehu; Yue, Meiling; Zhang, Ning
2018
A fractional Stokes equation and its spectral approximation. Zbl 1410.35097
Lin, Shimin; Azaïez, Mejdi; Xu, Chuanju
2018
Positivity-preserving high-order schemes for conservation laws on arbitrarily distributed point clouds with a simple WENO limiter. Zbl 1414.65012
Du, Jie; Shu, Chi-Wang
2018
Asymptotics of orthogonal polynomials. Zbl 1406.33008
Wong, R.
2018
Model error in the LANS-alpha and NS-alpha deconvolution models of turbulence. Zbl 1455.65227
Olson, Eric
2018
Regularized reduced order models for a stochastic Burgers equation. Zbl 1397.35349
Iliescu, Traian; Liu, Honghu; Xie, Xuping
2018
Macro Stokes elements on quadrilaterals. Zbl 1397.65285
Neilan, Michael; Sap, Duygu
2018
Regularization and Rothe discretization of semi-explicit operator DAEs. Zbl 1398.65109
Altmann, Robert; Heiland, Jan
2018
Spread option pricing using ADI methods. Zbl 1397.65138
Heidarpour-Dehkordi, Vida; Christara, Christina C.
2018
The $$h$$-$$p$$ version of the continuous Petrov-Galerkin method for nonlinear Volterra functional integro-differential equations with vanishing delays. Zbl 1408.65040
Yi, Lijun; Guo, Benqi
2018
Modeling and simulation of the atmospheric dust dynamics: fractional calculus and cloud computing. Zbl 1407.35220
Vázquez, Luis; Pilar Velasco, M.; Vázquez-Poletti, José Luis; Llorente, Ignacio M.; Usero, David; Jiménez, Salvador
2018
A fixed-point proximity approach to solving the support vector regression with the group Lasso regularization. Zbl 1407.65066
Li, Zheng; Song, Guohui; Xu, Yuesheng
2018
Local analysis of the local discontinuous Galerkin method with the generalized alternating numerical flux for two-dimensional singularly perturbed problem. Zbl 1412.65113
Cheng, Yao; Zhang, Qiang; Wang, Haijin
2018
Second-order two-scale analysis method for dynamic thermo-mechanical problems of composite structures with cylindrical periodicity. Zbl 1409.74003
Dong, Hao; Nie, Yufeng; Cui, Junzhi; Yang, Zihao; Wang, Ziqiang
2018
Weak solutions constructed by semi-discretization are suitable: the case of slip boundary conditions. Zbl 1398.35144
Berselli, Luigi C.
2018
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
Conforming mixed triangular prism elements for the linear elasticity problem. Zbl 1435.74092
Hu, Jun; Ma, Rui
2018
Fully diagonalized Chebyshev spectral methods for second and fourth order elliptic boundary value problems. Zbl 1442.65143
Li, Jing-Min; Wang, Zhong-Qing; Li, Hui-Yuan
2018
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### Cited by 3,541 Authors

 47 Shi, Dongyang 40 Chen, Yanping 34 Ye, Xiu 28 Huang, Yunqing 27 He, Xiaoming 27 He, Yinnian 24 Wang, Cheng 23 Zhang, Shangyou 22 Lin, Tao 22 Sun, Weiwei 21 Lin, Yanping 21 Mu, Lin 20 Li, Jian 20 Zhang, Zhimin 19 Baccouch, Mahboub 19 Chung, Tsz Shun Eric 18 Gatica, Gabriel N. 18 Pani, Amiya Kumar 17 Jung, Changyeol 17 Wang, Hong 17 Wang, Junping 17 Wang, Kun 16 Huang, Pengzhan 16 Huang, Qiumei 16 Nie, Yufeng 15 Cui, Junzhi 15 Wu, Tingting 14 Lu, Zuliang 14 Ruiz-Baier, Ricardo 14 Shu, Chi-Wang 14 Yang, Xiaofeng 13 An, Rong 13 Chen, Zhangxin 13 Guan, Hongbo 13 Li, Buyang 13 Li, Jichun 13 Natesan, Srinivasan 13 Temam, Roger Meyer 13 Wang, Xiaoshen 12 Dehghan Takht Fooladi, Mehdi 12 Dolejší, Vít 12 Li, Hong 12 Zhai, Qilong 11 Feng, Xinlong 11 Gunzburger, Max D. 11 Guo, Ruchi 11 Hou, Songming 11 Houston, Paul 11 Liu, Yang 11 O’Riordan, Eugene 11 Si, Zhiyong 11 Sun, Shuyu 11 Tai, Xuecheng 11 Wang, Chunmei 11 Wang, Liqun 11 Zhu, Qiding 10 Du, Qiang 10 Guillén González, Francisco M. 10 Hoang, Manh Tuan 10 Ju, Lili 10 Layton, William J. 10 Liu, Jiangguo 10 Liu, Jinghong 10 Mao, Shipeng 10 Mao, Xuerong 10 Rebholz, Leo G. 10 Roul, Pradip 10 Wang, Ruishu 10 Yuan, Long 10 Zhang, Ran 10 Zhang, Xu 9 Chen, Chuanjun 9 Dumbser, Michael 9 Gracia, José Luis 9 Jiang, Yaolin 9 Ma, Qiang 9 Oyarzúa, Ricardo 9 Qiao, Zhonghua 9 Shi, Liwei 9 Wang, Qi 9 Wise, Steven M. 9 Zhang, Yangwen 9 Zhao, Jia 9 Zhou, Zhaojie 9 Zhu, Shengfeng 8 Bartosz, Krzysztof 8 Cao, Liqun 8 Čiegis, Raimondas 8 Clavero, Carmelo 8 Gan, Siqing 8 Hou, Yanren 8 Hu, Qiya 8 Kumar, Sarvesh 8 Li, Zhilin 8 Münch, Arnaud 8 Neda, Monika 8 Singler, John R. 8 Venturi, Daniele 8 Wang, Jilu 8 Wu, Jiming ...and 3,441 more Authors
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### Cited in 294 Journals

 224 Journal of Computational and Applied Mathematics 200 Journal of Scientific Computing 168 Journal of Computational Physics 151 Computers & Mathematics with Applications 145 Applied Mathematics and Computation 122 Applied Numerical Mathematics 78 Computer Methods in Applied Mechanics and Engineering 58 SIAM Journal on Numerical Analysis 55 Numerical Methods for Partial Differential Equations 54 Numerische Mathematik 54 Numerical Algorithms 53 International Journal of Numerical Analysis and Modeling 50 Advances in Applied Mathematics and Mechanics 46 SIAM Journal on Scientific Computing 42 Advances in Computational Mathematics 34 Mathematics of Computation 31 Journal of Mathematical Analysis and Applications 31 Communications in Computational Physics 30 Computational Geosciences 29 International Journal of Computer Mathematics 29 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 28 Computers and Fluids 28 Computational and Applied Mathematics 26 Mathematics and Computers in Simulation 25 Applied Mathematics Letters 23 Discrete and Continuous Dynamical Systems. Series B 22 Calcolo 20 BIT 20 Mathematical Problems in Engineering 19 Abstract and Applied Analysis 19 Science China. Mathematics 17 Computational Methods in Applied Mathematics 16 Mathematical Methods in the Applied Sciences 16 Applied Mathematical Modelling 16 Communications on Applied Mathematics and Computation 14 Advances in Difference Equations 13 International Journal for Numerical Methods in Engineering 13 Boundary Value Problems 12 Applicable Analysis 12 Communications in Nonlinear Science and Numerical Simulation 12 Journal of Applied Mathematics 12 Journal of Applied Mathematics and Computing 12 East Asian Journal on Applied Mathematics 12 Electronic Research Archive 10 Journal of Differential Equations 10 Applications of Mathematics 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 Journal of Computational Mathematics 8 Acta Mathematicae Applicatae Sinica. English Series 8 Journal of Mathematical Imaging and Vision 8 Engineering Analysis with Boundary Elements 8 Journal of Inequalities and Applications 8 Discrete Dynamics in Nature and Society 8 Nonlinear Analysis. Real World Applications 8 Mathematical Modelling and Analysis 8 Journal of Systems Science and Complexity 8 Multiscale Modeling & Simulation 8 International Journal of Computational Methods 8 Results in Applied Mathematics 7 Computational Optimization and Applications 7 Inverse Problems and Imaging 7 Evolution Equations and Control Theory 7 International Journal of Applied and Computational Mathematics 6 Chaos, Solitons and Fractals 6 Applied Mathematics and Optimization 6 SIAM Journal on Control and Optimization 6 Physica D 6 Mathematical and Computer Modelling 6 Science in China. Series A 6 Japan Journal of Industrial and Applied Mathematics 6 Computational Mathematics and Mathematical Physics 6 SIAM Journal on Mathematical Analysis 6 Journal of Numerical Mathematics 6 SIAM Journal on Imaging Sciences 5 Journal of Fluid Mechanics 5 Physica A 5 Journal of Optimization Theory and Applications 5 Acta Applicandae Mathematicae 5 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 5 Filomat 5 Differential Equations 5 Mediterranean Journal of Mathematics 5 Frontiers of Mathematics in China 4 Journal of Mathematical Biology 4 Applied Mathematics and Mechanics. (English Edition) 4 Computational Mechanics 4 Journal of Non-Newtonian Fluid Mechanics 4 SIAM Journal on Applied Mathematics 4 Journal of Difference Equations and Applications 4 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 4 Vietnam Journal of Mathematics 4 Taiwanese Journal of Mathematics 4 International Journal of Applied Mathematics and Computer Science 4 Central European Journal of Mathematics 4 Kinetic and Related Models 4 Advances in Mathematical Physics 4 AIMS Mathematics 3 Archive for Rational Mechanics and Analysis 3 International Journal of Control 3 International Journal for Numerical Methods in Fluids ...and 194 more Journals
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### Cited in 46 Fields

 2,264 Numerical analysis (65-XX) 1,204 Partial differential equations (35-XX) 688 Fluid mechanics (76-XX) 208 Calculus of variations and optimal control; optimization (49-XX) 205 Mechanics of deformable solids (74-XX) 181 Probability theory and stochastic processes (60-XX) 138 Ordinary differential equations (34-XX) 118 Optics, electromagnetic theory (78-XX) 101 Biology and other natural sciences (92-XX) 63 Systems theory; control (93-XX) 61 Statistical mechanics, structure of matter (82-XX) 53 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 49 Computer science (68-XX) 47 Integral equations (45-XX) 45 Classical thermodynamics, heat transfer (80-XX) 45 Geophysics (86-XX) 42 Information and communication theory, circuits (94-XX) 37 Approximations and expansions (41-XX) 30 Operations research, mathematical programming (90-XX) 24 Real functions (26-XX) 24 Dynamical systems and ergodic theory (37-XX) 24 Statistics (62-XX) 23 Operator theory (47-XX) 21 Linear and multilinear algebra; matrix theory (15-XX) 10 Quantum theory (81-XX) 9 Integral transforms, operational calculus (44-XX) 8 Potential theory (31-XX) 8 Special functions (33-XX) 8 Functional analysis (46-XX) 7 Difference and functional equations (39-XX) 7 Harmonic analysis on Euclidean spaces (42-XX) 6 Differential geometry (53-XX) 6 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 5 Combinatorics (05-XX) 3 History and biography (01-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 2 Field theory and polynomials (12-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 2 Astronomy and astrophysics (85-XX) 1 Number theory (11-XX) 1 Algebraic geometry (14-XX) 1 Nonassociative rings and algebras (17-XX) 1 Algebraic topology (55-XX)