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## Numerical Mathematics: Theory, Methods and Applications

 Short Title: Numer. Math., Theory Methods Appl. Publisher: Global Science Press, Hong Kong ISSN: 1004-8979 Online: http://www.global-sci.org/nmtma/https://www.cambridge.org/core/journals/numerical-mathematics-theory-methods-and-applications Predecessor: Numerical Mathematics Comments: Indexed cover-to-cover
 Documents Indexed: 453 Publications (since 2008)
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#### Authors

 10 Chen, Yanping 7 Tai, Xuecheng 6 Ng, Michael Kwok-Po 6 Wang, Zhongqing 5 Hou, Tianliang 5 Huang, Yunqing 5 Li, Zhilin 5 Lin, Ping 5 Shen, Jie 5 Zhao, Weidong 4 Deng, Jiansong 4 Gunzburger, Max D. 4 Hoppe, Ronald H. W. 4 Huang, Weizhang 4 Kim, Junseok 4 Li, Ruo 4 Ma, Changfeng 4 Ma, Heping 4 Morigi, Serena 4 Qian, Jiang 4 Sgallari, Fiorella 4 Tang, Tao 4 Xu, Chuanju 4 Yao, Changhui 3 Ahmad, Riaz 3 Argyros, Ioannis Konstantinos 3 Borzì, Alfio 3 Brannick, James J. 3 Chang, Huibin 3 Chen, Zhiming 3 Chung, Tsz Shun Eric 3 Guo, Ben-Yu 3 Hu, Qiya 3 Huang, Baohua 3 Jin, Xiaoqing 3 Ju, Lili 3 Li, Dongfang 3 Li, Jicheng 3 Ma, Jingtang 3 Park, Jintae 3 Qiu, Jianxian 3 Shu, Shi 3 Sun, Zhizhong 3 Tan, Zhijun 3 Tang, Huazhong 3 Wang, Fan 3 Wang, Lilian 3 Wei, Yimin 3 Wu, Chunlin 3 Wu, Haijun 3 Wu, Jiming 3 Xie, Xiaoping 3 Xie, Ziqing 3 Xu, Da 3 Xu, Guiqiao 3 Yang, Junxiang 3 Yang, Qing 3 Yin, Junfeng 3 Zhang, Tie 2 Assari, Pouria 2 Bai, Jianchao 2 Bai, Zhengjian 2 Boyd, John Philip 2 Bronstein, Alexander M. 2 Bronstein, Michael M. 2 Carstensen, Carsten 2 Che, Maolin 2 Chen, Falai 2 Chen, Wenbin 2 Cheng, Xiaoliang 2 De Marchi, Stefano 2 Dehghan Takht Fooladi, Mehdi 2 Du, Kui 2 Du, Qiang 2 Duan, Yuping 2 Duits, Remco 2 Efendiev, Yalchin R. 2 Farooqi, Asma 2 Fu, Hongfei 2 Geiser, Jürgen 2 George, Santhosh 2 Günther, Michael 2 Hahn, Jooyoung 2 Hu, Xiaozhe 2 Ito, Kazufumi 2 Jeong, Darae 2 Kimmel, Ron 2 Layton, Anita T. 2 Lee, Chaeyoung 2 Li, Chongjun 2 Li, Wen 2 Li, Yi 2 Li, Yu 2 Liu, Chun 2 Liu, Tiegang 2 Liu, Yongping 2 Liu, Zhifang 2 Mémin, Etienne 2 Nash, Stephen G. 2 Qi, Liqun ...and 800 more Authors
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#### Fields

 376 Numerical analysis (65-XX) 132 Partial differential equations (35-XX) 61 Fluid mechanics (76-XX) 37 Calculus of variations and optimal control; optimization (49-XX) 27 Information and communication theory, circuits (94-XX) 26 Computer science (68-XX) 24 Operations research, mathematical programming (90-XX) 19 Probability theory and stochastic processes (60-XX) 19 Optics, electromagnetic theory (78-XX) 18 Approximations and expansions (41-XX) 16 Ordinary differential equations (34-XX) 15 Integral equations (45-XX) 14 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 11 Mechanics of deformable solids (74-XX) 9 Biology and other natural sciences (92-XX) 8 Real functions (26-XX) 7 Classical thermodynamics, heat transfer (80-XX) 6 Special functions (33-XX) 6 Statistical mechanics, structure of matter (82-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 2 Operator theory (47-XX) 2 Convex and discrete geometry (52-XX) 2 Statistics (62-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Integral transforms, operational calculus (44-XX) 1 Functional analysis (46-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)

#### Citations contained in zbMATH Open

300 Publications have been cited 1,384 times in 1,281 Documents Cited by Year
pde2path – a Matlab package for continuation and bifurcation in 2D elliptic systems. Zbl 1313.65311
Uecker, Hannes; Wetzel, Daniel; Rademacher, Jens D. M.
2014
High-order accurate Runge-Kutta (local) discontinuous Galerkin methods for one- and two-dimensional fractional diffusion equations. Zbl 1274.65271
Ji, Xia; Tang, Huazhong
2012
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
2016
Phaseless imaging by reverse time migration: acoustic waves. Zbl 1389.78006
Chen, Zhiming; Huang, Guanghui
2017
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
2012
Spectral optimization methods for the time fractional diffusion inverse problem. Zbl 1299.65222
Ye, Xingyang; Xu, Chuanju
2013
Immersed interface finite element methods for elasticity interface problems with non-homogeneous jump conditions. Zbl 1224.65266
Gong, Yan; Li, Zhilin
2010
A parallel algorithm for adaptive local refinement of tetrahedral meshes using bisection. Zbl 1199.65399
Zhang, Linbo
2009
Spectral Petrov-Galerkin methods for the second kind Volterra type integro-differential equations. Zbl 1249.65291
Tao, Xia; Xie, Ziqing; Zhou, Xiaojun
2011
Uniform convergence analysis of finite difference scheme for singularly perturbed delay differential equation on an adaptively generated grid. Zbl 1224.65186
Mohapatra, Jugal; Natesan, Srinivasan
2010
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
A source transfer domain decomposition method for Helmholtz equations in unbounded domain, part II: extensions. Zbl 1299.65287
Chen, Zhiming; Xiang, Xueshuang
2013
Spectral analysis for HSS preconditioners. Zbl 1174.65352
Chan, Lung Chak; Ng, Michael K.; Tsing, Nam Kiu
2008
An adaptive strategy for the restoration of textured images using fractional order regularization. Zbl 1289.68196
Chan, R. H.; Lanza, A.; Morigi, S.; Sgallari, F.
2013
Numerical solution to the multi-term time fractional diffusion equation in a finite domain. Zbl 1399.65158
Li, Gongsheng; Sun, Chunlong; Jia, Xianzheng; Du, Dianhu
2016
Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141
Huang, Jianfei; Tang, Yifa; Vázquez, Luis
2012
A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283
Chen, Hongbin; Xu, Da
2012
An adaptive uniaxial perfectly matched layer method for time-harmonic scattering problems. Zbl 1174.65519
Chen, Zhiming; Wu, Xinming
2008
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
2011
Discrete maximum principle and a Delaunay-type mesh condition for linear finite element approximations of two-dimensional anisotropic diffusion problems. Zbl 1265.65199
Huang, Weizhang
2011
An explicit-implicit predictor-corrector domain decomposition method for time dependent multi-dimensional convection diffusion equations. Zbl 1212.65369
Zhu, Liyong; Yuan, Guangwei; Du, Qiang
2009
A power penalty approach to numerical solutions of two-asset American options. Zbl 1212.65390
Zhang, K.; Wang, S.; Yang, X. Q.; Teo, K. L.
2009
Chebyshev spectral methods and the Lane-Emden problem. Zbl 1249.65158
Boyd, John P.
2011
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
2017
A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265
Shu, Ruiwen; Hu, Jingwei; Jin, Shi
2017
A parallel algorithm and software for image inpainting via sub-Riemannian minimizers on the group of rototranslations. Zbl 1289.94013
Mashtakov, Alexey P.; Ardentov, Andrei A.; Sachkov, Yuri L.
2013
Quasi-optimal convergence rate of an AFEM for quasi-linear problems of monotone type. Zbl 1265.65223
Garau, Eduardo M.; Morin, Pedro; Zuppa, Carlos
2012
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
2010
A priori and a posteriori error estimates of streamline diffusion finite element method for optimal control problem governed by convection dominated diffusion equation. Zbl 1174.65433
Yan, Ningning; Zhou, Zhaojie
2008
Fourth-order splitting methods for time-dependant differential equations. Zbl 1174.35408
Geiser, Jürgen
2008
A compound algorithm of denoising using second-order and fourth-order partial differential equations. Zbl 1212.68383
Chang, Qianshun; Tai, Xuecheng; Xing, Lily
2009
Numerical analysis of a system of singularly perturbed convection-diffusion equations related to optimal control. Zbl 1265.65123
Roos, Hans-Görg; Reibiger, Christian
2011
A finite difference scheme for blow-up solutions of nonlinear wave equations. Zbl 1240.65237
Cho, Chien-Hong
2010
A second-order method for the electromagnetic scattering from a large cavity. Zbl 1187.78036
Wang, Yingxi; Du, Kui; Sun, Weiwei
2008
Towards textbook efficiency for parallel multigrid. Zbl 1340.65296
Gmeiner, Björn; Rüde, Ulrich; Stengel, Holger; Waluga, Christian; Wohlmuth, Barbara
2015
Analysis of direct and inverse cavity scattering problems. Zbl 1265.78008
Bao, Gang; Gao, Jinglu; Li, Peijun
2011
Convergence analysis of a Legendre spectral collocation method for second order Volterra integro-differential equations. Zbl 1265.65278
Wei, Yunxia; Chen, Yanping
2011
A geometric space-time multigrid algorithm for the heat equation. Zbl 1265.65195
Weinzierl, Tobias; Köppl, Tobias
2012
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui
2008
A spectral method for a neutral Volterra integro-differential equation with a weakly singular kernel. Zbl 1289.65298
Wei, Yunxia; Chen, Yanping
2013
Algebraic theory of two-grid methods. Zbl 1349.65681
Yvan, Notay
2015
A triangular spectral method for the Stokes equations. Zbl 1249.65262
Chen, Lizhen; Shen, Jie; Xu, Chuanju
2011
A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307
Sheng, Changtao; Shen, Jie
2017
A multigrid block LU-SGS algorithm for Euler equations on unstructured grids. Zbl 1174.76313
Li, Ruo; Wang, Xin; Zhao, Weibo
2008
A fourth-order modified method for the Cauchy problem of the modified Helmholtz equation. Zbl 1212.65355
Shi, R.; Wei, T.; Qin, H. H.
2009
A two-grid finite element method for time-dependent incompressible Navier-Stokes equations with non-smooth initial data. Zbl 1363.76036
Goswami, Deepjyoti; Damazio, Pedro D.
2015
Geometric and photometric data fusion in non-rigid shape analysis. Zbl 1289.68188
Kovnatsky, Artiom; Raviv, Dan; Bronstein, Michael M.; Bronstein, Alexander M.; Kimmel, Ron
2013
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
2016
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
2012
Numerical approaches for linear left-invariant diffusions on $$SE(2)$$, their comparison to exact solutions, and their applications in retinal imaging. Zbl 1363.65008
Zhang, Jiong; Duits, Remco; Sanguinetti, Gonzalo; ter Haar Romeny, Bart M.
2016
Itô-Taylor schemes for solving mean-field stochastic differential equations. Zbl 1399.60121
Sun, Yabing; Yang, Jie; Zhao, Weidong
2017
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
2008
A finite difference scheme on a priori adapted meshes for a singularly perturbed parabolic convection-diffusion equation. Zbl 1174.65466
Shishkin, Grigory I.
2008
Cubature formulas and interpolation on the cubic domain. Zbl 1212.41002
Li, Huiyuan; Sun, Jiachang; Xu, Yuan
2009
Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery. Zbl 1201.94021
Briceño-Arias, Luis M.; Combettes, Patrick L.
2009
Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira
2015
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
2011
Numerical solution of stochastic Ito-Volterra integral equations using Haar wavelets. Zbl 1413.65490
Mohammadi, Fakhrodin
2016
A fast augmented Lagrangian method for Euler’s elastica models. Zbl 1289.94006
Duan, Yuping; Wang, Yu; Hahn, Jooyoung
2013
Robust multiscale iterative solvers for nonlinear flows in highly heterogeneous media. Zbl 1274.76248
Efendiev, Y.; Galvis, J.; Kang, S. Ki; Lazarov, R. D.
2012
A stochastic approximation frame algorithm with adaptive directions. Zbl 1199.65015
Xu, Zi; Dai, Yuhong
2008
Fast texture segmentation based on semi-local region descriptor and active contour. Zbl 1212.68390
Houhou, Nawal; Thiran, Jean-Philippe; Bresson, Xavier
2009
A multilevel correction method for Steklov eigenvalue problem by nonconforming finite element methods. Zbl 1349.65603
Han, Xiaole; Li, Yu; Xie, Hehu
2015
Linear stability of hyperbolic moment models for Boltzmann equation. Zbl 1389.35054
Di, Yana; Fan, Yuwei; Li, Ruo; Zheng, Lingchao
2017
Multidimensional iterative filtering method for the decomposition of high-dimensional non-stationary signals. Zbl 1389.62141
Cicone, Antonio; Zhou, Haomin
2017
Second order multigrid methods for elliptic problems with discontinuous coefficients on an arbitrary interface. I: One dimensional problems. Zbl 1265.65251
Coco, Armando; Russo, Giovanni
2012
A weak Galerkin finite element method for elliptic interface problems with polynomial reduction. Zbl 1438.65283
Deka, Bhupen
2018
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
2018
Positivity-preserving Runge-Kutta discontinuous Galerkin method on adaptive Cartesian grid for strong moving shock. Zbl 1363.76040
Liu, Jianming; Qiu, Jianxian; Goman, Mikhail; Li, Xinkai; Liu, Meilin
2016
The global behavior of finite difference-spatial spectral collocation methods for a partial integro-differential equation with a weakly singular kernel. Zbl 1299.65310
Tang, Jie; Xu, Da
2013
An alternating direction implicit Galerkin finite element method for the two-dimensional time fractional evolution equation. Zbl 1313.65266
Li, Limei; Xu, Da
2014
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
2019
A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm. Zbl 1449.65054
Du, Kui; Gao, Han
2019
Spectral method approximation of flow optimal control problems with $$H^1$$-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
2017
A full multigrid method for distributed control problems constrained by Stokes equations. Zbl 1399.65350
Butt, M. M.; Yuan, Y.
2017
Blow-up of Volterra integro-differential equations and applications to semi-linear Volterra diffusion equations. Zbl 1399.35103
Yang, Zhanwen; Tang, Tao; Zhang, Jiwei
2017
Three-dimensional finite element superconvergent gradient recovery on Par6 patterns. Zbl 1224.65258
Chen, Jie; Wang, Desheng
2010
A fast multilevel CVT-based adaptive data visualization algorithm. Zbl 1224.65050
Emelianenko, M.
2010
2D centroidal Voronoi tessellations with constraints. Zbl 1224.65053
Tournois, Jane; Alliez, Pierre; Devillers, Olivier
2010
New reflection principles for Maxwell’s equations and their applications. Zbl 1187.78037
Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun
2009
A perturbation result for dynamical contact problems. Zbl 1201.74153
Klapproth, Corinna; Deuflhard, Peter; Schiela, Anton
2009
An efficient and accurate spectral method for acoustic scattering in elliptic domains. Zbl 1201.74156
Fang, Qirong; Shen, Jie; Wang, Lilian
2009
High-order leap-frog based discontinuous Galerkin method for the time-domain Maxwell equations on non-conforming simplicial meshes. Zbl 1212.65362
Fahs, Hassan
2009
Standard and economical cascade multigrid methods for the mortar finite element methods. Zbl 1212.65501
Xu, Xuejun; Chen, Wenbin
2009
A smoothing Newton-like method for the solution of nonlinear systems of equalities and inequalities. Zbl 1212.65238
Yang, Liu; Chen, Yanping; Tong, Xiaojiao
2009
Fast revealing of mode ranks of tensor in canonical form. Zbl 1212.65182
Savostyanov, Dmitry V.
2009
A multilevel method for the solution of time dependent optimal transport. Zbl 1340.76064
Haber, Eldad; Horesh, Raya
2015
Finite volume element methods for two-dimensional three-temperature radiation diffusion equations. Zbl 1399.65307
Gao, Yanni; Zhao, Xiukun; Li, Yonghai
2016
Fast linearized augmented Lagrangian method for Euler’s elastica model. Zbl 1389.94035
Zhang, Jun; Chen, Rongliang; Deng, Chengzhi; Wang, Shengqian
2017
High order mass-lumping finite elements on simplexes. Zbl 1399.65246
Cui, Tao; Leng, Wei; Lin, Deng; Ma, Shichao; Zhang, Linbo
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2017
Interpolation by $$G^2$$ quintic Pythagorean-Hodograph curves. Zbl 1324.65011
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil
2014
Absorbing boundary conditions for hyperbolic systems. Zbl 1240.65239
Ehrhardt, Matthias
2010
A consistent fourth-order compact finite difference scheme for solving vorticity-stream function form of incompressible Navier-Stokes equations. Zbl 1438.65273
Wang, Tao; Liu, Tiegang
2019
Superconvergence and $$L^\infty$$-error estimates of RT1 mixed methods for semilinear elliptic control problems with an integral constraint. Zbl 1274.49005
Chen, Yanping; Hou, Tianliang
2012
An unconditionally stable and high-order convergent difference scheme for Stokes’ first problem for a heated generalized second grade fluid with fractional derivative. Zbl 1399.65154
Ji, Cuicui; Sun, Zhizhong
2017
Finite element and discontinuous Galerkin methods with perfect matched layers for American options. Zbl 1399.91142
Song, Haiming; Zhang, Kai; Li, Yutian
2017
Uniform convergence analysis for singularly perturbed elliptic problems with parabolic layers. Zbl 1174.65508
Li, Jichun; Chen, Yitung
2008
A parameter-uniform finite difference method for a coupled system of convection-diffusion two-point boundary value problems. Zbl 1174.65441
O’Riordan, Eugene; Stynes, Jeanne; Stynes, Martin
2008
Bivariate simplex spline quasi-interpolants. Zbl 1224.41010
Sbibih, D.; Serghini, A.; Tijini, A.
2010
A vertex-centered and positivity-preserving finite volume scheme for two-dimensional three-temperature radiation diffusion equations on general polygonal meshes. Zbl 1463.65268
Su, Shuai; Wu, Jiming
2020
Convergence analysis of a numerical scheme for the porous medium equation by an energetic variational approach. Zbl 1463.65333
Duan, Chenghua; Liu, Chun; Wang, Cheng; Yue, Xingye
2020
A dynamical method for solving the obstacle problem. Zbl 1463.35278
Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane
2020
A multiple scalar auxiliary variables approach to the energy stable scheme of the moving contact line problem. Zbl 1463.65337
Kang, Fengdai; Zhang, Zhen
2020
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
2020
A stabilized low order finite element method for three dimensional elasticity problems. Zbl 1463.65374
Jo, Gwanghyun; Kwak, Do Y.
2020
Two-grid finite element method with Crank-Nicolson fully discrete scheme for the time-dependent Schrödinger equation. Zbl 1463.65281
Wang, Jianyun; Jin, Jicheng; Tian, Zhikun
2020
Error analysis of SAV finite element method to phase field crystal model. Zbl 1463.65310
Wang, Liupeng; Huang, Yunqing; Jiang, Kai
2020
A high-order kernel-free boundary integral method for incompressible flow equations in two space dimensions. Zbl 1463.65277
Xie, Yaning; Ying, Wenjun
2020
Effect of space dimensions on equilibrium solutions of Cahn-Hilliard and conservative Allen-Cahn equations. Zbl 1463.35299
Lee, Hyun Geun; Yang, Junxiang; Park, Jintae; Kim, Junseok
2020
PPIFE method with non-homogeneous flux jump conditions and its efficient numerical solver for elliptic optimal control problems with interfaces. Zbl 1463.65379
Wang, Quanxiang; Zhang, Zhiyue; Zheng, Enlai
2020
Parallel smoothed aggregation multilevel Schwarz preconditioned Newton-Krylov algorithms for Poisson-Boltzmann problems. Zbl 1463.65279
Cai, Shangrong; Xiao, Junyi; Tseng, Yuchieh; Hwang, Fengnan
2020
Superconvergence of the composite rectangle rule for computing hypersingular integral on interval. Zbl 1463.65028
Li, Jin; Cheng, Yongling; Li, Zongcheng
2020
Energy identities and stability analysis of the Yee scheme for 3D Maxwell equations. Zbl 1463.65343
Gao, Liping; Sang, Xiaorui; Shi, Rengang
2020
A two-grid algorithm of fully discrete Galerkin finite element methods for a nonlinear hyperbolic equation. Zbl 07366914
Li, Kang; Tan, Zhijun
2020
One-step hybrid block method containing third derivatives and improving strategies for solving Bratu’s and Troesch’s problems. Zbl 07366922
Rufai, Mufutau Ajani; Ramos, Higinio
2020
Improved 3D surface reconstruction via the method of fundamental solutions. Zbl 07366923
Zheng, Hui; Wang, Feng; Chen, C. S.; Lei, M.; Wang, Yong
2020
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
2019
A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm. Zbl 1449.65054
Du, Kui; Gao, Han
2019
A consistent fourth-order compact finite difference scheme for solving vorticity-stream function form of incompressible Navier-Stokes equations. Zbl 1438.65273
Wang, Tao; Liu, Tiegang
2019
An optimized two-step hybrid block method formulated in variable step-size mode for integrating $$y'' = f (x,y,y')$$ numerically. Zbl 1449.65154
Singh, Gurjinder; Ramos, Higinio
2019
Finite difference schemes for the variable coefficients single and multi-term time-fractional diffusion equations with non-smooth solutions on graded and uniform meshes. Zbl 1449.65175
Cui, Mingrong
2019
Notes on new error bounds for linear complementarity problems of Nekrasov matrices, $$B$$-Nekrasov matrices and $$QN$$-matrices. Zbl 1463.65109
Dai, Pingfan; Li, Jicheng; Bai, Jianchao; Dong, Liqiang
2019
The plane wave discontinuous Galerkin method combined with local spectral finite elements for the wave propagation in anisotropic media. Zbl 1463.78008
Yuan, Long
2019
Strong convergence of the semi-implicit Euler method for a kind of stochastic Volterra integro-differential equations. Zbl 1449.60114
Gao, Jianfang; Ma, Shufang; Liang, Hui
2019
A splitting scheme for the numerical solution of the KWC system. Zbl 1449.65289
Hoppe, R. H. W.; Winkle, J. J.
2019
An interface-unfitted finite element method for elliptic interface optimal control problems. Zbl 1449.65328
Yang, Chaochao; Wang, Tao; Xie, Xiaoping
2019
Super implicit multistep collocation methods for weakly singular Volterra integral equations. Zbl 1463.65436
Zhao, Jingjun; Long, Teng; Xu, Yang
2019
Robust globally divergence-free weak Galerkin finite element methods for unsteady natural convection problems. Zbl 1463.65296
Han, Yihui; Li, Hongliang; Xie, Xiaoping
2019
Numerical investigations of a class of biological models on unbounded domain. Zbl 1438.65177
Huang, Qiumei; Li, Dongfang; Zhang, Jiwei
2019
A branching random walk method for many-body Wigner quantum dynamics. Zbl 1438.60113
Shao, Sihong; Xiong, Yunfeng
2019
Diagonalized Chebyshev rational spectral methods for second-order elliptic problems on unbounded domains. Zbl 1438.65307
Ren, Yanmin; Yu, Xuhong; Wang, Zhongqing
2019
A new variational approach for inverse source problems. Zbl 1449.35006
Hu, Qiya; Shu, Shi; Zou, Jun
2019
An adaptive complex collocation method for solving linear elliptic PDEs in regular convex polygons based on the unified transform. Zbl 1449.65333
Grylonakis, E.-N. G.; Filelis-Papadopoulos, C. K.; Grawanis, G. A.; Fokas, A. S.
2019
A reformulated convex and selective variational image segmentation model and its fast multilevel algorithm. Zbl 1449.68133
Jumaat, Abdul K.; Chen, Ke
2019
Optimal rate convergence analysis of a second order numerical scheme for the Poisson-Nernst-Planck system. Zbl 1449.65177
Ding, Jie; Wang, Cheng; Zhou, Shenggao
2019
The cubic spline rule for the Hadamard finite-part integral on an interval. Zbl 1449.65014
Gu, Gendai; An, Sheng; Zhao, Meiling
2019
A linearized second-order difference scheme for the nonlinear time-fractional fourth-order reaction-diffusion equation. Zbl 1463.65250
Sun, Hong; Sun, Zhizhong; Du, Rui
2019
One-step multi-derivative methods for backward stochastic differential equations. Zbl 1463.60092
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong
2019
Stochastic gradient descent for linear systems with missing data. Zbl 1438.65095
Ma, Anna; Needell, Deanna
2019
Fully discrete $${H^1}$$-Galerkin mixed finite element methods for parabolic optimal control problems. Zbl 1438.49008
Hou, Tianliang; Liu, Chunmei; Chen, Hongbo
2019
The instability in the dimensions of spline spaces over $$T$$-meshes with nested $$T$$-cycles. Zbl 1438.65012
Li, Chongjun; Wang, Pengxiao
2019
A mixed regularization method for ill-posed problems. Zbl 1438.65074
Zheng, Hui; Zhang, Wensheng
2019
Segmentation by elastica energy with $${L^1}$$ and $${L^2}$$ curvatures: a performance comparison. Zbl 1449.94011
He, Xuan; Zhu, Wei; Tai, Xuecheng
2019
A weak Galerkin finite element method for elliptic interface problems with polynomial reduction. Zbl 1438.65283
Deka, Bhupen
2018
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
2018
Numerical analysis of partially penalized immersed finite element methods for hyperbolic interface problems. Zbl 1424.65173
Yang, Qing
2018
A linearized high-order combined compact difference scheme for multi-dimensional coupled Burgers’ equations. Zbl 1424.65124
Chen, Buyun; He, Dongdong; Pan, Kejia
2018
Nonnegativity-preserving repair techniques for the finite element solutions of degenerate nonlinear parabolic problems. Zbl 1438.65239
Lv, Junliang; Yuan, Guangwei; Yue, Jingyan
2018
A modified weak Galerkin finite element method for the poroelasticity problems. Zbl 1438.65299
Wang, Ruishu; Wang, Xiaoshen; Zhang, Ran
2018
Best rank-one approximation of fourth-order partially symmetric tensors by neural network. Zbl 1438.65088
Wang, Xuezhong; Che, Maolin; Wei, Yimin
2018
On the convergence of two-step modulus-based matrix splitting iteration methods for a restricted class of nonlinear complementarity problems with $${H_ +}$$-matrices. Zbl 1413.65064
Li, Rui; Wang, Yan; Yin, Junfeng
2018
A meshless discrete Galerkin method based on the free shape parameter radial basis functions for solving Hammerstein integral equations. Zbl 1438.65321
Assari, Pouria; Dehghan, Mehdi
2018
Numerical approximation to a stochastic parabolic PDE with weak Galerkin method. Zbl 1438.65007
Zhu, Hongze; Zou, Yongkui; Chaiand, Shimin; Zhou, Chenguang
2018
The Legendre Galerkin-Chebyshev collocation method for space fractional Burgers-like equations. Zbl 1424.65197
Yang, Yubo; Ma, Heping
2018
A two-steps method based on plane wave for nonhomogeneous Helmholtz equations in inhomogeneous media. Zbl 1438.65287
Hu, Qiya; Zhao, Lin
2018
Spectral deferred correction methods for fractional differential equations. Zbl 1438.65252
Lv, Chunwan; Azaiez, Mejdi; Xu, Chuanju
2018
A high order compact scheme for a thermal wave model of bio-heat transfer with an interface. Zbl 1424.80002
Singh, Suruchi; Singh, Swarn; Li, Zhilin
2018
Semi-group stability of finite difference schemes in corner domains. Zbl 1438.65169
Benoit, Antoine
2018
Weak and strong convergence of two algorithms for the split fixed point problem. Zbl 1438.47124
Wang, Fenghui; Xu, Hongkun
2018
A separable preconditioner for time-space fractional Caputo-Riesz diffusion equations. Zbl 1438.65038
Lin, Xuelei; Ng, Michael K.; Sun, Haiwei
2018
A new convergent explicit tree-grid method for HJB equations in one space dimension. Zbl 1413.65391
Kossaczký, Igor; Ehrhardt, Matthias; Günther, Michael
2018
Extending GCR algorithm for the least squares solutions on a class of Sylvester matrix equations. Zbl 1413.65137
Huang, Baohua; Ma, Changfeng
2018
Phaseless imaging by reverse time migration: acoustic waves. Zbl 1389.78006
Chen, Zhiming; Huang, Guanghui
2017
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
2017
A stochastic Galerkin method for the Boltzmann equation with multi-dimensional random inputs using sparse wavelet bases. Zbl 1399.65265
Shu, Ruiwen; Hu, Jingwei; Jin, Shi
2017
A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307
Sheng, Changtao; Shen, Jie
2017
Itô-Taylor schemes for solving mean-field stochastic differential equations. Zbl 1399.60121
Sun, Yabing; Yang, Jie; Zhao, Weidong
2017
Linear stability of hyperbolic moment models for Boltzmann equation. Zbl 1389.35054
Di, Yana; Fan, Yuwei; Li, Ruo; Zheng, Lingchao
2017
Multidimensional iterative filtering method for the decomposition of high-dimensional non-stationary signals. Zbl 1389.62141
Cicone, Antonio; Zhou, Haomin
2017
Spectral method approximation of flow optimal control problems with $$H^1$$-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
2017
A full multigrid method for distributed control problems constrained by Stokes equations. Zbl 1399.65350
Butt, M. M.; Yuan, Y.
2017
Blow-up of Volterra integro-differential equations and applications to semi-linear Volterra diffusion equations. Zbl 1399.35103
Yang, Zhanwen; Tang, Tao; Zhang, Jiwei
2017
Fast linearized augmented Lagrangian method for Euler’s elastica model. Zbl 1389.94035
Zhang, Jun; Chen, Rongliang; Deng, Chengzhi; Wang, Shengqian
2017
High order mass-lumping finite elements on simplexes. Zbl 1399.65246
Cui, Tao; Leng, Wei; Lin, Deng; Ma, Shichao; Zhang, Linbo
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2017
An unconditionally stable and high-order convergent difference scheme for Stokes’ first problem for a heated generalized second grade fluid with fractional derivative. Zbl 1399.65154
Ji, Cuicui; Sun, Zhizhong
2017
Finite element and discontinuous Galerkin methods with perfect matched layers for American options. Zbl 1399.91142
Song, Haiming; Zhang, Kai; Li, Yutian
2017
Nonconforming finite element methods for wave propagation in metamaterials. Zbl 1399.65341
Yao, Changhui; Wang, Lixiu
2017
Anisotropic mesh adaptation for 3D anisotropic diffusion problems with application to fractured reservoir simulation. Zbl 1399.65232
Li, Xianping; Huang, Weizhang
2017
High order hierarchical divergence-free constrained transport $$H\left({div} \right)$$ finite element method for magnetic induction equation. Zbl 1399.65243
Cai, Wei; Hu, Jun; Zhang, Shangyou
2017
Stability of finite difference schemes for hyperbolic initial boundary value problems: numerical boundary layers. Zbl 1399.65203
Boutin, Benjamin; Coulombel, Jean Francois
2017
Solving constrained TV2L1-L2 MRI signal reconstruction via an efficient alternating direction method of multipliers. Zbl 1399.94018
Wu, Tingting; Wang, David Z. W.; Jin, Zhengmeng; Zhang, Jun
2017
Generalized accelerated Hermitian and skew-Hermitian splitting methods for saddle-point problems. Zbl 1413.65072
Noormohammadi, Pour H.; Sadeghi, Goughery H.
2017
Lacunary interpolation by fractal splines with variable scaling parameters. Zbl 1399.65034
Viswanathan, P.; Chand, A. K. B.; Tyada, K. R.
2017
The disc theorem for the Schur complement of two class submatrices with $$\gamma$$-diagonally dominant properties. Zbl 1389.15040
Li, Guangqi; Liu, Jianzhou; Zhang, Juan
2017
Runge-Kutta discontinuous local evolution Galerkin methods for the shallow water equations on the cubed-sphere grid. Zbl 1399.65255
Kuang, Yangyu; Wu, Kailiang; Tang, Huazhong
2017
Numerical effects of the Gaussian recursive filters in solving linear systems in the 3Dvar case study. Zbl 1399.65112
Cuomo, Salvatore; Galletti, Ardelio; Giunta, Giulio; Marcellino, Livia
2017
Error splitting preservation for high order finite difference schemes in the combination technique. Zbl 1399.65295
Hendricks, Christian; Ehrhardt, Matthias; Gunther, Michael
2017
Adaptive dimensionality-reduction for time-stepping in differential and partial differential equations. Zbl 1413.65302
Fu, Xing; Kutz, J. Nathan
2017
Total variation based parameter-free model for impulse noise removal. Zbl 1389.94022
Sciacchitano, Federica; Dong, Yiqiu; Andersen, Martin S.
2017
A uniformly stable nonconforming FEM based on weighted interior penalties for Darcy-Stokes-Brinkman equations. Zbl 1399.65328
Huang, Peiqi; Li, Zhilin
2017
Analysis of the closure approximation for a class of stochastic differential equations. Zbl 1399.65009
Cai, Yunfeng; Li, Tiejun; Shao, Jiushu; Wang, Zhiming
2017
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
2016
Numerical solution to the multi-term time fractional diffusion equation in a finite domain. Zbl 1399.65158
Li, Gongsheng; Sun, Chunlong; Jia, Xianzheng; Du, Dianhu
2016
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
2016
Numerical approaches for linear left-invariant diffusions on $$SE(2)$$, their comparison to exact solutions, and their applications in retinal imaging. Zbl 1363.65008
Zhang, Jiong; Duits, Remco; Sanguinetti, Gonzalo; ter Haar Romeny, Bart M.
2016
Numerical solution of stochastic Ito-Volterra integral equations using Haar wavelets. Zbl 1413.65490
Mohammadi, Fakhrodin
2016
Positivity-preserving Runge-Kutta discontinuous Galerkin method on adaptive Cartesian grid for strong moving shock. Zbl 1363.76040
Liu, Jianming; Qiu, Jianxian; Goman, Mikhail; Li, Xinkai; Liu, Meilin
2016
Finite volume element methods for two-dimensional three-temperature radiation diffusion equations. Zbl 1399.65307
Gao, Yanni; Zhao, Xiukun; Li, Yonghai
2016
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#### Cited by 2,048 Authors

 29 Chung, Tsz Shun Eric 21 Chen, Yanping 15 Xu, Da 14 Huang, Yunqing 13 Duits, Remco 13 Hu, Guanghui 12 Zhao, Weidong 11 Zhang, Bo 11 Zheng, Weiying 11 Zhou, Zhaojie 10 Carstensen, Carsten 10 Leung, Wingtat 10 Xu, Chuanju 9 Zhang, Haiwen 9 Zhou, Tao 8 Efendiev, Yalchin R. 8 Huang, Ting-Zhu 8 Shu, Shi 8 Wohlmuth, Barbara I. 8 Yang, Yin 8 Yuan, Guangwei 7 Du, Kui 7 Fu, Shubin 7 Gu, Zhendong 7 Guo, Yukun 7 Lin, Tao 7 Rüde, Ulrich 7 Subburayan, Veerasamy 7 Wang, Cheng 7 Wang, Liqun 6 Chen, Zhiming 6 Combettes, Patrick L. 6 He, Xiaoming 6 Kühn, Christian 6 Li, Ruo 6 Liu, Li-Bin 6 Mashtakov, Alexey P. 6 Pan, Kejia 6 Praetorius, Dirk 6 Sheng, Zhiqiang 6 Shi, Liwei 6 Uecker, Hannes 6 Wu, Boying 6 Yi, Lijun 6 Zhai, Qilong 6 Zhang, Deyue 6 Zhang, Linbo 6 Zhang, Xu 5 Antonietti, Paola Francesca 5 Bekkers, Erik J. 5 Cao, Yang 5 Chen, Hongbin 5 Chen, Lizhen 5 Cicone, Antonio 5 Deng, Weihua 5 Feng, Xinlong 5 Gander, Martin Jakob 5 He, Dongdong 5 Hou, Songming 5 Huang, Weizhang 5 Jiang, Xue 5 Karniadakis, George Em 5 Kimmel, Ron 5 Kroó, András 5 Li, Huiyuan 5 Li, Zhilin 5 Manteuffel, Thomas A. 5 Otárola, Enrique 5 Qiao, Zhonghua 5 Sarti, Alessandro 5 Shi, Xiulian 5 Sun, Yabing 5 Tang, Tao 5 Tang, Yifa 5 Vohralík, Martin 5 Wang, Xiuli 5 Xie, Hehu 5 Xie, Xiaoping 5 Xin, Jack X. 5 Xu, Yifeng 5 Yang, Wei 5 Yue, Xiaoqiang 5 Zhang, Kai 5 Zikatanov, Ludmil T. 4 Bai, Zhongzhi 4 Bu, Weiping 4 Buccini, Alessandro 4 Chen, Ke 4 Chen, Zhangxin 4 Cho, Chien-Hong 4 Citti, Giovanna 4 De Marchi, Stefano 4 Drzisga, Daniel 4 Geevers, Sjoerd 4 Gu, Xian-Ming 4 Gunzburger, Max D. 4 Hu, Hongling 4 Hu, Xiaozhe 4 Huang, Zhongyi 4 Ji, Xia ...and 1,948 more Authors
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#### Cited in 208 Journals

 83 Journal of Computational and Applied Mathematics 79 Journal of Computational Physics 78 Journal of Scientific Computing 60 SIAM Journal on Scientific Computing 54 Applied Mathematics and Computation 52 Communications in Computational Physics 51 Computers & Mathematics with Applications 49 Applied Numerical Mathematics 35 Advances in Applied Mathematics and Mechanics 34 Numerical Algorithms 27 Computational and Applied Mathematics 22 Numerische Mathematik 22 Journal of Mathematical Imaging and Vision 22 East Asian Journal on Applied Mathematics 20 Computer Methods in Applied Mechanics and Engineering 19 SIAM Journal on Numerical Analysis 18 Mathematics of Computation 15 SIAM Journal on Imaging Sciences 14 Applied Mathematical Modelling 13 Computers and Fluids 13 Numerical Methods for Partial Differential Equations 13 Mathematical Problems in Engineering 12 Mathematics and Computers in Simulation 10 Inverse Problems 9 BIT 9 Computer Aided Geometric Design 9 Japan Journal of Industrial and Applied Mathematics 9 Advances in Computational Mathematics 9 Communications in Nonlinear Science and Numerical Simulation 9 Advances in Difference Equations 8 Calcolo 8 Computational Methods in Applied Mathematics 8 Multiscale Modeling & Simulation 8 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 8 Science China. Mathematics 7 International Journal of Computer Mathematics 7 Inverse Problems and Imaging 7 Journal of Applied Analysis and Computation 6 Journal of Approximation Theory 6 Applied Mathematics Letters 6 SIAM Journal on Applied Mathematics 6 Computational Geosciences 6 SIAM Journal on Applied Dynamical Systems 6 International Journal of Wavelets, Multiresolution and Information Processing 5 Mathematical Methods in the Applied Sciences 5 SIAM Journal on Matrix Analysis and Applications 5 Linear Algebra and its Applications 5 Journal of Inequalities and Applications 5 Discrete and Continuous Dynamical Systems. Series B 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Control and Optimization 4 Computational Mechanics 4 Computational Mathematics and Mathematical Physics 4 Numerical Linear Algebra with Applications 4 ETNA. Electronic Transactions on Numerical Analysis 4 Engineering Analysis with Boundary Elements 4 Abstract and Applied Analysis 4 International Journal of Computational Methods 4 International Journal of Numerical Analysis and Modeling 4 Boundary Value Problems 4 Discrete and Continuous Dynamical Systems. Series S 4 Kinetic and Related Models 3 Journal of Mathematical Biology 3 Bulletin of the Iranian Mathematical Society 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Global Optimization 3 International Journal of Computer Vision 3 Computing and Visualization in Science 3 Chaos 3 Journal of Applied Mathematics 3 Journal of Numerical Mathematics 3 Journal of Applied Mathematics and Computing 3 Mathematical Biosciences and Engineering 3 Journal of Industrial and Management Optimization 3 Optimization Letters 3 International Journal of Applied and Computational Mathematics 2 Applicable Analysis 2 Computer Physics Communications 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Chaos, Solitons and Fractals 2 Automatica 2 Quarterly of Applied Mathematics 2 Acta Mathematica Hungarica 2 Constructive Approximation 2 Differential Geometry and its Applications 2 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 2 Mathematical Programming. Series A. Series B 2 SIAM Journal on Optimization 2 Journal of Nonlinear Science 2 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 2 Computational Optimization and Applications 2 Regular and Chaotic Dynamics 2 Foundations of Computational Mathematics 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Hacettepe Journal of Mathematics and Statistics 2 Boletim da Sociedade Paranaense de Matemática. Terceira Série 2 Acta Numerica 2 Applications and Applied Mathematics ...and 108 more Journals
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#### Cited in 49 Fields

 1,047 Numerical analysis (65-XX) 468 Partial differential equations (35-XX) 174 Fluid mechanics (76-XX) 95 Calculus of variations and optimal control; optimization (49-XX) 86 Optics, electromagnetic theory (78-XX) 78 Integral equations (45-XX) 72 Information and communication theory, circuits (94-XX) 68 Ordinary differential equations (34-XX) 61 Computer science (68-XX) 61 Mechanics of deformable solids (74-XX) 60 Probability theory and stochastic processes (60-XX) 44 Approximations and expansions (41-XX) 42 Operations research, mathematical programming (90-XX) 40 Biology and other natural sciences (92-XX) 34 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 31 Real functions (26-XX) 28 Linear and multilinear algebra; matrix theory (15-XX) 25 Statistical mechanics, structure of matter (82-XX) 17 Harmonic analysis on Euclidean spaces (42-XX) 17 Statistics (62-XX) 16 Dynamical systems and ergodic theory (37-XX) 15 Operator theory (47-XX) 14 Geophysics (86-XX) 13 Differential geometry (53-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Quantum theory (81-XX) 10 Special functions (33-XX) 9 Systems theory; control (93-XX) 8 Global analysis, analysis on manifolds (58-XX) 6 Mechanics of particles and systems (70-XX) 6 Astronomy and astrophysics (85-XX) 5 Potential theory (31-XX) 4 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 Measure and integration (28-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Topological groups, Lie groups (22-XX) 2 Several complex variables and analytic spaces (32-XX) 2 General topology (54-XX) 1 History and biography (01-XX) 1 Mathematical logic and foundations (03-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Functions of a complex variable (30-XX) 1 Abstract harmonic analysis (43-XX) 1 Geometry (51-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)