## Numerical Mathematics: Theory, Methods and Applications

 Short Title: Numer. Math., Theory Methods Appl. Publisher: Global Science Press, Hong Kong ISSN: 1004-8979 Online: https://www.global-sci.org/nmtma/periodical_list.htmlhttps://www.cambridge.org/core/journals/numerical-mathematics-theory-methods-and-applications/all-issues Predecessor: Numerical Mathematics Comments: Indexed cover-to-cover
 Documents Indexed: 519 Publications (since 2008) References Indexed: 44 Publications with 1,692 References.
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### Latest Issues

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### Authors

 11 Chen, Yanping 8 Ng, Michael Kwok-Po 7 Huang, Yunqing 7 Li, Zhilin 7 Tai, Xuecheng 7 Wang, Zhongqing 6 Kim, Junseok 6 Li, Ruo 6 Zhao, Weidong 5 Chang, Huibin 5 Gunzburger, Max D. 5 Hou, Tianliang 5 Lin, Ping 5 Shen, Jie 5 Xie, Xiaoping 4 Deng, Jiansong 4 Hoppe, Ronald H. W. 4 Huang, Weizhang 4 Ju, Lili 4 Lee, Chaeyoung 4 Li, Dongfang 4 Li, Jicheng 4 Ma, Changfeng 4 Ma, Heping 4 Ma, Jingtang 4 Morigi, Serena 4 Park, Jintae 4 Qian, Jiang 4 Qiu, Jianxian 4 Sgallari, Fiorella 4 Tang, Tao 4 Xu, Chuanju 4 Yang, Junxiang 4 Yao, Changhui 4 Yin, Junfeng 3 Ahmad, Riaz 3 Argyros, Ioannis Konstantinos 3 Borzì, Alfio 3 Brannick, James J. 3 Chen, Zhiming 3 Chung, Tsz Shun Eric 3 Duan, Yuping 3 Guo, Ben-Yu 3 Hajarian, Masoud 3 Hu, Qiya 3 Huang, Baohua 3 Jin, Xiaoqing 3 Liu, Tiegang 3 Shu, Shi 3 Sun, Haiwei 3 Sun, Zhizhong 3 Tan, Zhijun 3 Tang, Huazhong 3 Wang, Cheng 3 Wang, Fan 3 Wang, Lilian 3 Wei, Yimin 3 Wu, Chunlin 3 Wu, Haijun 3 Wu, Jiming 3 Xie, Ziqing 3 Xu, Da 3 Xu, Guiqiao 3 Yang, Qing 3 Yoon, Sungha 3 Zhang, Guofeng 3 Zhang, Jiwei 3 Zhang, Tie 2 Assari, Pouria 2 Bai, Jianchao 2 Bai, Zhengjian 2 Barron, Ronald M. 2 Boyd, John Philip 2 Bronstein, Alexander M. 2 Bronstein, Michael M. 2 Carstensen, Carsten 2 Che, Maolin 2 Chen, Falai 2 Chen, Jingrun 2 Chen, Wenbin 2 Chen, Yibing 2 Cheng, Xiaoliang 2 De Marchi, Stefano 2 Dehghan Takht Fooladi, Mehdi 2 Deng, Weihua 2 Dong, Liqiang 2 Du, Kui 2 Du, Qiang 2 Du, Rui 2 Duan, Lixiao 2 Duits, Remco 2 Efendiev, Yalchin R. 2 Esmaeilzadeh, Mojgan 2 Farooqi, Asma 2 Feng, Renzhong 2 Fu, Hongfei 2 Fu, Meiyan 2 Gan, Siqing 2 Geiser, Jürgen 2 George, Santhosh ...and 912 more Authors
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### Fields

 431 Numerical analysis (65-XX) 158 Partial differential equations (35-XX) 66 Fluid mechanics (76-XX) 41 Calculus of variations and optimal control; optimization (49-XX) 32 Computer science (68-XX) 30 Information and communication theory, circuits (94-XX) 27 Operations research, mathematical programming (90-XX) 23 Optics, electromagnetic theory (78-XX) 22 Probability theory and stochastic processes (60-XX) 20 Approximations and expansions (41-XX) 19 Linear and multilinear algebra; matrix theory (15-XX) 19 Ordinary differential equations (34-XX) 17 Integral equations (45-XX) 16 Mechanics of deformable solids (74-XX) 15 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 12 Real functions (26-XX) 10 Classical thermodynamics, heat transfer (80-XX) 9 Statistical mechanics, structure of matter (82-XX) 9 Biology and other natural sciences (92-XX) 6 Special functions (33-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 5 Operator theory (47-XX) 4 Quantum theory (81-XX) 4 Systems theory; control (93-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Convex and discrete geometry (52-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Functions of a complex variable (30-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Geophysics (86-XX)

### Citations contained in zbMATH Open

348 Publications have been cited 1,700 times in 1,567 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
A parallel algorithm for adaptive local refinement of tetrahedral meshes using bisection. Zbl 1199.65399
Zhang, Linbo
2009
Adaptive mixed GMsFEM for flows in heterogeneous media. Zbl 1399.65322
Chan, Ho-Yuen; Chung, Eric; Efendiev, Yalchin
2016
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
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
A review of unified a posteriori finite element error control. Zbl 1289.65249
Carstensen, C.; Eigel, M.; Hoppe, R. H. W.; Löbhard, C.
2012
Phaseless imaging by reverse time migration: acoustic waves. Zbl 1389.78006
Chen, Zhiming; Huang, Guanghui
2017
Advances in studies and applications of centroidal Voronoi tessellations. Zbl 1224.52032
Du, Qiang; Gunzburger, Max; Ju, Lili
2010
Convergence analysis of a block-by-block method for fractional differential equations. Zbl 1265.65141
Huang, Jianfei; Tang, Yifa; Vázquez, Luis
2012
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
Spectral Petrov-Galerkin methods for the second kind Volterra type integro-differential equations. Zbl 1249.65291
Tao, Xia; Xie, Ziqing; Zhou, Xiaojun
2011
A compact difference scheme for an evolution equation with a weakly singular kernel. Zbl 1289.65283
Chen, Hongbin; Xu, Da
2012
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
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
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
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
An adaptive uniaxial perfectly matched layer method for time-harmonic scattering problems. Zbl 1174.65519
Chen, Zhiming; Wu, Xinming
2008
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
Weakly admissible meshes and discrete extremal sets. Zbl 1249.65014
Bos, Len; De Marchi, Stefano; Sommariva, Alvise; Vianello, Marco
2011
Chebyshev spectral methods and the Lane-Emden problem. Zbl 1249.65158
Boyd, John P.
2011
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
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
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
Preconditioners for incompressible Navier-Stokes solvers. Zbl 1240.65098
Segal, A.; ur Rehman, M.; Vuik, C.
2010
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
Deferred correction methods for forward backward stochastic differential equations. Zbl 1389.60083
Tang, Tao; Zhao, Weidong; Zhou, Tao
2017
A finite difference scheme for blow-up solutions of nonlinear wave equations. Zbl 1240.65237
Cho, Chien-Hong
2010
Convergence analysis of a Legendre spectral collocation method for second order Volterra integro-differential equations. Zbl 1265.65278
Wei, Yunxia; Chen, Yanping
2011
Towards textbook efficiency for parallel multigrid. Zbl 1340.65296
Gmeiner, Björn; Rüde, Ulrich; Stengel, Holger; Waluga, Christian; Wohlmuth, Barbara
2015
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui
2008
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
A second-order method for the electromagnetic scattering from a large cavity. Zbl 1187.78036
Wang, Yingxi; Du, Kui; Sun, Weiwei
2008
A hybrid spectral element method for fractional two-point boundary value problems. Zbl 1413.65307
Sheng, Changtao; Shen, Jie
2017
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
Analysis of direct and inverse cavity scattering problems. Zbl 1265.78008
Bao, Gang; Gao, Jinglu; Li, Peijun
2011
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 compound algorithm of denoising using second-order and fourth-order partial differential equations. Zbl 1212.68383
Chang, Qianshun; Tai, Xuecheng; Xing, Lily
2009
Algebraic theory of two-grid methods. Zbl 1349.65681
Yvan, Notay
2015
Fourth-order splitting methods for time-dependant differential equations. Zbl 1174.35408
Geiser, Jürgen
2008
Itô-Taylor schemes for solving mean-field stochastic differential equations. Zbl 1399.60121
Sun, Yabing; Yang, Jie; Zhao, Weidong
2017
A geometric space-time multigrid algorithm for the heat equation. Zbl 1265.65195
Weinzierl, Tobias; Köppl, Tobias
2012
A multilevel correction method for Steklov eigenvalue problem by nonconforming finite element methods. Zbl 1349.65603
Han, Xiaole; Li, Yu; Xie, Hehu
2015
A multigrid block LU-SGS algorithm for Euler equations on unstructured grids. Zbl 1174.76313
Li, Ruo; Wang, Xin; Zhao, Weibo
2008
A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm. Zbl 1449.65054
Du, Kui; Gao, Han
2019
A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions. Zbl 1488.65256
Li, Dongfang; Sun, Weiwei; Wu, Chengda
2021
Convex variational formulation with smooth coupling for multicomponent signal decomposition and recovery. Zbl 1201.94021
Briceño-Arias, Luis M.; Combettes, Patrick L.
2009
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
Bootstrap algebraic multigrid: status report, open problems, and outlook. Zbl 1340.65289
Brandt, Achi; Brannick, James; Kahl, Karsten; Livshits, Ira
2015
A multistep scheme for decoupled forward-backward stochastic differential equations. Zbl 1374.65008
Zhao, Weidong; Zhang, Wei; Ju, Lili
2016
Numerical solution of stochastic Ito-Volterra integral equations using Haar wavelets. Zbl 1413.65490
2016
A spectral method for a neutral Volterra integro-differential equation with a weakly singular kernel. Zbl 1289.65298
Wei, Yunxia; Chen, Yanping
2013
A triangular spectral method for the Stokes equations. Zbl 1249.65262
Chen, Lizhen; Shen, Jie; Xu, Chuanju
2011
Uniform convergence of adaptive multigrid methods for elliptic problems and Maxwell’s equations. Zbl 1274.65287
Hiptmair, Ralf; Wu, Haijun; Zheng, Weiying
2012
Fast texture segmentation based on semi-local region descriptor and active contour. Zbl 1212.68390
Houhou, Nawal; Thiran, Jean-Philippe; Bresson, Xavier
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
New estimates for the rate of convergence of the method of subspace corrections. Zbl 1174.65354
Cho, Durkbin; Xu, Jinchao; Zikatanov, Ludmil
2008
Fast linearized augmented Lagrangian method for Euler’s elastica model. Zbl 1389.94035
Zhang, Jun; Chen, Rongliang; Deng, Chengzhi; Wang, Shengqian
2017
Linear stability of hyperbolic moment models for Boltzmann equation. Zbl 1389.35054
Di, Yana; Fan, Yuwei; Li, Ruo; Zheng, Lingchao
2017
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
Numerical analysis of partially penalized immersed finite element methods for hyperbolic interface problems. Zbl 1424.65173
Yang, Qing
2018
2D centroidal Voronoi tessellations with constraints. Zbl 1224.65053
Tournois, Jane; Alliez, Pierre; Devillers, Olivier
2010
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
Cubature formulas and interpolation on the cubic domain. Zbl 1212.41002
Li, Huiyuan; Sun, Jiachang; Xu, Yuan
2009
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
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
A finite difference scheme on a priori adapted meshes for a singularly perturbed parabolic convection-diffusion equation. Zbl 1174.65466
Shishkin, Grigory I.
2008
A stochastic approximation frame algorithm with adaptive directions. Zbl 1199.65015
Xu, Zi; Dai, Yuhong
2008
High order mass-lumping finite elements on simplexes. Zbl 1399.65246
Cui, Tao; Leng, Wei; Lin, Deng; Ma, Shichao; Zhang, Linbo
2017
A collocation method for initial value problems of second-order ODEs by using Laguerre functions. Zbl 1249.65153
Yan, Jianping; Guo, Benyu
2011
A fast augmented Lagrangian method for Euler’s elastica models. Zbl 1289.94006
Duan, Yuping; Wang, Yu; Hahn, Jooyoung
2013
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
2018
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
Spectral method approximation of flow optimal control problems with $$H^1$$-norm state constraint. Zbl 1399.49019
Chen, Yanping; Huang, Fenglin
2017
Finite element and discontinuous Galerkin methods with perfect matched layers for American options. Zbl 1399.91142
Song, Haiming; Zhang, Kai; Li, Yutian
2017
A linearized high-order combined compact difference scheme for multi-dimensional coupled Burgers’ equations. Zbl 1424.65124
Chen, Buyun; He, Dongdong; Pan, Kejia
2018
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
Standard and economical cascade multigrid methods for the mortar finite element methods. Zbl 1212.65501
Xu, Xuejun; Chen, Wenbin
2009
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
A multilevel method for the solution of time dependent optimal transport. Zbl 1340.76064
2015
Interpolation by $$G^2$$ quintic Pythagorean-Hodograph curves. Zbl 1324.65011
Jaklič, Gašper; Kozak, Jernej; Krajnc, Marjeta; Vitrih, Vito; Žagar, Emil
2014
An immersed interface method for simulating two-fluid flows. Zbl 1324.76042
Uh, Miguel; Xu, Sheng
2014
Multidimensional iterative filtering method for the decomposition of high-dimensional non-stationary signals. Zbl 1389.62141
Cicone, Antonio; Zhou, Haomin
2017
Computing residual diffusivity by adaptive basis learning via spectral method. Zbl 1389.76035
Lyu, Jiancheng; Xin, Jack; Yu, Yifeng
2017
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
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
A weak Galerkin finite element method for elliptic interface problems with polynomial reduction. Zbl 1438.65283
Deka, Bhupen
2018
Best rank-one approximation of fourth-order partially symmetric tensors by neural network. Zbl 1438.65088
Wang, Xuezhong; Che, Maolin; Wei, Yimin
2018
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 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
New reflection principles for Maxwell’s equations and their applications. Zbl 1187.78037
Liu, Hongyu; Yamamoto, Masahiro; Zou, Jun
2009
Approximation of derivative for a singularly perturbed second-order ODE of Robin type with discontinuous convection coefficient and source term. Zbl 1199.65249
2009
Absorbing boundary conditions for hyperbolic systems. Zbl 1240.65239
Ehrhardt, Matthias
2010
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
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
Fast second-order evaluation for variable-order Caputo fractional derivative with applications to fractional sub-diffusion equations. Zbl 07538548
Zhang, Jia-Li; Fang, Zhi-Wei; Sun, Hai-Wei
2022
Numerical solution of a one-dimensional nonlocal Helmholtz equation by perfectly matched layers. Zbl 07538555
Du, Yu; Zhang, Jiwei
2022
A novel numerical approach to time-fractional parabolic equations with nonsmooth solutions. Zbl 1488.65256
Li, Dongfang; Sun, Weiwei; Wu, Chengda
2021
On nonnegative solution of multi-linear system with strong $${\mathcal{M}_z}$$-tensors. Zbl 1488.15045
Mo, Changxin; Wei, Yimin
2021
A new ensemble HDG method for parameterized convection diffusion PDEs. Zbl 1488.65485
Yu, Yong; Chen, Gang; Pi, Liangya; Zhang, Yangwen
2021
Generalized singular value decompositions for tensors and their applications. Zbl 1488.15044
He, Zhuoheng; Ng, Michael K.; Zeng, Chao
2021
Stability and convergence analyses of the FDM based on some L-type formulae for solving the subdiffusion equation. Zbl 07538532
Mokhtari, Reza; Ramezani, Mohadese; Haase, Gundolf
2021
A hybrid WENO method with modified ghost fluid method for compressible two-medium flow problems. Zbl 07538533
Zhao, Zhuang; Chen, Yibing; Qiu, Jianxian
2021
A general cavitation model for the highly nonlinear Mie-Grüneisen equation of state. Zbl 07538539
Fu, Meiyan; Lu, Tiao
2021
On the evolutionary dynamics of the Cahn-Hilliard equation with cut-off mass source. Zbl 1488.65253
Lee, Chaeyoung; Kim, Hyundong; Yoon, Sungha; Park, Jintae; Kim, Sangkwon; Yang, Junxiang; Kim, Junseok
2021
On the construction and analysis of finite volume element schemes with optimal $$L^2$$ convergence rate. Zbl 1488.65204
Wang, Xiang; Zhang, Yuqing
2021
Numerical analysis of a high-order scheme for nonlinear fractional differential equations with uniform accuracy. Zbl 1488.65193
Cao, Junying; Cai, Zhenning
2021
Discrete approximation scheme in distributionally robust optimization. Zbl 1488.90246
Liu, Yongchao; Yuan, Xiaoming; Zhang, Jin
2021
An improved linearity-preserving cell-centered scheme for nonlinear diffusion problems on general meshes. Zbl 1488.65336
Dong, Cheng; Kang, Tong
2021
Convergence of the Peaceman-Rachford splitting method for a class of nonconvex programs. Zbl 1488.90142
Chao, Miantao; Han, Deren; Cai, Xingju
2021
Generating layer-adapted meshes using mesh partial differential equations. Zbl 1488.65617
2021
A parameterized class of complex nonsymmetric algebraic Riccati equations. Zbl 1488.65091
Dong, Liqiang; Li, Jicheng; Liu, Xuenian
2021
Variant of greedy randomized Gauss-Seidel method for ridge regression. Zbl 1488.62001
Duan, Lixiao; Zhang, Guofeng
2021
An acceleration technique for the augmented IIM for 3D elliptic interface problems. Zbl 1488.65565
Zhang, Changjuan; Li, Zhilin; Yue, Xingye
2021
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
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
Numerical analysis of a dynamic contact problem with history-dependent operators. Zbl 1463.65314
Xuan, Hailing; Cheng, Xiaoliang; Han, Weimin; Xiao, Qichang
2020
One-step hybrid block method containing third derivatives and improving strategies for solving Bratu’s and Troesch’s problems. Zbl 1474.65234
Rufai, Mufutau Ajani; Ramos, Higinio
2020
The generalized order tensor complementarity problems. Zbl 1463.90221
Che, Maolin; Qi, Liqun; Wei, Yimin
2020
A well-conditioned, nonconforming Nitsche’s extended finite element method for elliptic interface problems. Zbl 1463.65370
He, Xiaoxiao; Song, Fei; Deng, Weibing
2020
Error analysis of SAV finite element method to phase field crystal model. Zbl 1463.65310
Wang, Liupeng; Huang, Yunqing; Jiang, Kai
2020
Fast evaluation of linear combinations of Caputo fractional derivatives and its applications to multi-term time-fractional sub-diffusion equations. Zbl 1463.65221
Gao, Guanghua; Yang, Qian
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
A high-order kernel-free boundary integral method for incompressible flow equations in two space dimensions. Zbl 1463.65277
Xie, Yaning; Ying, Wenjun
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
Finite element approximation of space fractional optimal control problem with integral state constraint. Zbl 1474.65453
Zhou, Zhaojie; Song, Jiabin; Chen, Yanping
2020
Auxiliary equations approach for the stochastic unsteady Navier-Stokes equations with additive random noise. Zbl 1463.65317
Zhao, Wenju; Gunzburger, Max
2020
A stabilized low order finite element method for three dimensional elasticity problems. Zbl 1463.65374
Jo, Gwanghyun; Kwak, Do Y.
2020
A dynamical method for solving the obstacle problem. Zbl 1463.35278
Ran, Qinghua; Cheng, Xiaoliang; Abide, Stephane
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 continuous-stage modified leap-frog scheme for high-dimensional semi-linear Hamiltonian wave equations. Zbl 1463.65407
Wang, Bin; Wu, Xinyuan; Fang, Yonglei
2020
A two-grid algorithm of fully discrete Galerkin finite element methods for a nonlinear hyperbolic equation. Zbl 1474.65356
Li, Kang; Tan, Zhijun
2020
Effect of flux evaluation methods on the resolution and robustness of the two-step finite-difference WENO scheme. Zbl 1474.65278
Kamiya, T.; Asahara, M.; Nonomura, T.
2020
A new iteration and preconditioning method for elliptic PDE-constrained optimization problems. Zbl 1474.65071
Axelsson, Owe; Salkuyeh, Davod Khojasteh
2020
Uniformly distributed circular porous pattern generation on surface for 3D printing. Zbl 1474.65041
Yoon, Sungha; Lee, Chaeyoung; Park, Jintae; Jeong, Darae; Kim, Junseok
2020
Numerical solution of partial differential equations in arbitrary shaped domains using Cartesian cut-stencil finite difference method. I: Concepts and fundamentals. Zbl 1474.65273
Esmaeilzadeh, M.; Barron, R. M.; Balachandar, R.
2020
Newton linearized methods for semilinear parabolic equations. Zbl 1474.65378
Zhou, Boya; Li, Dongfang
2020
Improved 3D surface reconstruction via the method of fundamental solutions. Zbl 1474.65037
Zheng, Hui; Wang, Feng; Chen, C. S.; Lei, M.; Wang, Yong
2020
The conservation and convergence of two finite difference schemes for KdV equations with initial and boundary value conditions. Zbl 1463.65246
Shen, Jinye; Wang, Xuping; Sun, Zhizhong
2020
Decoupled mixed element methods for fourth order elliptic optimal control problems with control constraints. Zbl 1463.65376
Shen, Yue; Jin, Chang
2020
An adaptive nonmonotone projected Barzilai-Borwein gradient method with active set prediction for nonnegative matrix factorization. Zbl 1463.65102
Li, Jicheng; Li, Wenbo; Liu, Xuenian
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
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
A new theoretical estimate for the convergence rate of the maximal weighted residual Kaczmarz algorithm. Zbl 1449.65054
Du, Kui; Gao, Han
2019
Finite difference schemes for the tempered fractional Laplacian. Zbl 1449.65213
Zhang, Zhijiang; Deng, Weihua; Fan, Hongtao
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
Modulus-based synchronous multisplitting iteration methods for a restricted class of nonlinear complementarity problems. Zbl 1449.65126
Wu, Yujiang; Yan, Guilin; Yang, Aili
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 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
A splitting scheme for the numerical solution of the KWC system. Zbl 1449.65289
Hoppe, R. H. W.; Winkle, J. J.
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
A new variational approach for inverse source problems. Zbl 1449.35006
Hu, Qiya; Shu, Shi; Zou, Jun
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
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
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
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
Stochastic gradient descent for linear systems with missing data. Zbl 1438.65095
Ma, Anna; Needell, Deanna
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
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 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
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
Two-step modulus-based matrix splitting iteration methods for a class of implicit complementarity problems. Zbl 1449.65067
Wang, Yan; Yin, Junfeng; Dou, Quanyu; Li, Rui
2019
A weak Galerkin finite element method for the elliptic variational inequality. Zbl 1449.65254
Peng, Hui; Wang, Xiuli; Zhai, Qilong; Zhang, Ran
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 modulus-based Levenberg-Marquardt method for solving linear complementarity problem. Zbl 1438.65125
Huang, Baohua; Ma, Changfeng
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
Weighted integral of infinitely differentiable multivariate functions is exponentially convergent. Zbl 1438.65031
Xu, Guiqiao; Liu, Yongping; Zhang, Jie
2019
A hybridized weak Galerkin finite element method for incompressible Stokes equations. Zbl 1463.65386
Zhang, Qianru; Kuang, Haopeng; Wang, Xiuli; Zhai, Qilong
2019
One-step multi-derivative methods for backward stochastic differential equations. Zbl 1463.60092
Zhang, Chengjian; Wu, Jingwen; Zhao, Weidong
2019
Numerical analysis of partially penalized immersed finite element methods for hyperbolic interface problems. Zbl 1424.65173
Yang, Qing
2018
A space-time Petrov-Galerkin spectral method for time fractional diffusion equation. Zbl 1438.65308
Sheng, Changtao; Shen, Jie
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
A weak Galerkin finite element method for elliptic interface problems with polynomial reduction. Zbl 1438.65283
Deka, Bhupen
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 modified weak Galerkin finite element method for the poroelasticity problems. Zbl 1438.65299
Wang, Ruishu; Wang, Xiaoshen; Zhang, Ran
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
Numerical approximation to a stochastic parabolic PDE with weak Galerkin method. Zbl 1438.65007
Zhu, Hongze; Zou, Yongkui; Chaiand, Shimin; Zhou, Chenguang
2018
Spectral deferred correction methods for fractional differential equations. Zbl 1438.65252
Lv, Chunwan; Azaiez, Mejdi; Xu, Chuanju
2018
A separable preconditioner for time-space fractional Caputo-Riesz diffusion equations. Zbl 1438.65038
Lin, Xuelei; Ng, Michael K.; Sun, Haiwei
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
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
The Legendre Galerkin-Chebyshev collocation method for space fractional Burgers-like equations. Zbl 1424.65197
Yang, Yubo; Ma, Heping
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
A two-steps method based on plane wave for nonhomogeneous Helmholtz equations in inhomogeneous media. Zbl 1438.65287
Hu, Qiya; Zhao, Lin
2018
Weak and strong convergence of two algorithms for the split fixed point problem. Zbl 1438.47124
Wang, Fenghui; Xu, Hongkun
2018
...and 248 more Documents
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### Cited by 2,409 Authors

 31 Chung, Tsz Shun Eric 28 Chen, Yanping 20 Huang, Yunqing 16 Xu, Da 14 Hu, Guanghui 13 Duits, Remco 13 Zhao, Weidong 12 Carstensen, Carsten 12 Zhang, Bo 12 Zhou, Zhaojie 11 Leung, Wingtat 11 Xu, Chuanju 11 Yuan, Guangwei 11 Zheng, Weiying 11 Zhou, Tao 10 Shu, Shi 10 Wang, Cheng 9 Guo, Yukun 9 Rüde, Ulrich 9 Uecker, Hannes 9 Yang, Yin 9 Zhang, Haiwen 8 Combettes, Patrick L. 8 Efendiev, Yalchin R. 8 Fu, Shubin 8 Huang, Ting-Zhu 8 Kimmel, Ron 8 Liu, Li-Bin 8 Pan, Kejia 8 Ramos, Higinio 8 Sheng, Zhiqiang 8 Wang, Liqun 8 Wohlmuth, Barbara I. 7 Chen, Hongbin 7 Chen, Zhiming 7 Du, Kui 7 Gu, Zhendong 7 He, Xiaoming 7 Jiang, Xue 7 Li, Zhilin 7 Lin, Tao 7 Mashtakov, Alexey P. 7 Sommariva, Alvise 7 Subburayan, Veerasamy 7 Vianello, Marco 7 Wu, Boying 7 Yi, Lijun 7 Zhang, Deyue 7 Zhang, Linbo 6 Chen, Lizhen 6 Deng, Weihua 6 Feng, Xinlong 6 He, Dongdong 6 Kühn, Christian 6 Li, Huiyuan 6 Li, Ruo 6 Liu, Hongyu 6 Praetorius, Dirk 6 Shi, Liwei 6 Sun, Yabing 6 Tang, Huazhong 6 Xie, Xiaoping 6 Xin, Jack X. 6 Yue, Xiaoqiang 6 Zhai, Qilong 6 Zhang, Xu 5 Antonietti, Paola Francesca 5 Bekkers, Erik J. 5 Bronstein, Alexander M. 5 Bronstein, Michael M. 5 Cao, Yang 5 Chen, Ke 5 Chen, Zhangxin 5 Cicone, Antonio 5 De Marchi, Stefano 5 Gander, Martin Jakob 5 Hajarian, Masoud 5 Hou, Songming 5 Huang, Weizhang 5 Huang, Zhongyi 5 Karniadakis, George Em 5 Kim, Junseok 5 Kroó, András 5 Manteuffel, Thomas A. 5 Otárola, Enrique 5 Qiao, Zhonghua 5 Qiu, Jianxian 5 Qiu, Wenlin 5 Sarti, Alessandro 5 Shi, Xiulian 5 Sun, Zhizhong 5 Tan, Zhijun 5 Tang, Tao 5 Tang, Yifa 5 Vohralík, Martin 5 Wang, Hong 5 Wang, Xiuli 5 Xie, Hehu 5 Xu, Yifeng 5 Yang, Jiaqing ...and 2,309 more Authors
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### Cited in 235 Journals

 97 Journal of Computational and Applied Mathematics 96 Journal of Computational Physics 92 Journal of Scientific Computing 63 SIAM Journal on Scientific Computing 62 Applied Mathematics and Computation 61 Computers & Mathematics with Applications 59 Communications in Computational Physics 54 Applied Numerical Mathematics 42 Advances in Applied Mathematics and Mechanics 38 Numerical Algorithms 33 Computational and Applied Mathematics 33 East Asian Journal on Applied Mathematics 32 International Journal of Computer Mathematics 24 Computer Methods in Applied Mechanics and Engineering 23 Numerische Mathematik 23 Journal of Mathematical Imaging and Vision 22 SIAM Journal on Numerical Analysis 19 Mathematics of Computation 18 Mathematics and Computers in Simulation 17 SIAM Journal on Imaging Sciences 16 Numerical Mathematics: Theory, Methods and Applications 15 Advances in Difference Equations 14 Computers and Fluids 14 Applied Mathematical Modelling 13 Numerical Methods for Partial Differential Equations 13 Mathematical Problems in Engineering 12 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 11 Advances in Computational Mathematics 11 Communications in Nonlinear Science and Numerical Simulation 10 Inverse Problems 10 Japan Journal of Industrial and Applied Mathematics 10 Multiscale Modeling & Simulation 10 Inverse Problems and Imaging 9 BIT 9 Computer Aided Geometric Design 9 Applied Mathematics Letters 9 International Journal of Numerical Analysis and Modeling 9 Science China. Mathematics 8 Calcolo 8 Computational Methods in Applied Mathematics 7 SIAM Journal on Matrix Analysis and Applications 7 International Journal of Computer Vision 7 Discrete and Continuous Dynamical Systems. Series S 7 Journal of Applied Analysis and Computation 7 AIMS Mathematics 6 Chaos, Solitons and Fractals 6 Journal of Approximation Theory 6 Journal of Computational Mathematics 6 SIAM Journal on Applied Mathematics 6 Journal of Inequalities and Applications 6 Computational Geosciences 6 Discrete and Continuous Dynamical Systems. Series B 6 SIAM Journal on Applied Dynamical Systems 6 International Journal of Wavelets, Multiresolution and Information Processing 6 International Journal of Computational Methods 5 Applicable Analysis 5 Mathematical Methods in the Applied Sciences 5 Linear Algebra and its Applications 5 ETNA. Electronic Transactions on Numerical Analysis 5 Kinetic and Related Models 4 Journal of Optimization Theory and Applications 4 SIAM Journal on Control and Optimization 4 Physica D 4 Computational Mechanics 4 Computational Mathematics and Mathematical Physics 4 Numerical Linear Algebra with Applications 4 Engineering Analysis with Boundary Elements 4 Abstract and Applied Analysis 4 Journal of Applied Mathematics and Computing 4 Boundary Value Problems 4 Journal of Function Spaces 4 Communications on Applied Mathematics and Computation 4 Electronic Research Archive 4 Results in Applied Mathematics 3 Journal of Mathematical Biology 3 Bulletin of Mathematical Biology 3 Bulletin of the Iranian Mathematical Society 3 Acta Mathematicae Applicatae Sinica. English Series 3 Journal of Global Optimization 3 Mathematical Programming. Series A. Series B 3 Computational Optimization and Applications 3 Computing and Visualization in Science 3 Chaos 3 Journal of Applied Mathematics 3 Journal of Numerical Mathematics 3 Mathematical Biosciences and Engineering 3 Journal of Industrial and Management Optimization 3 Optimization Letters 3 International Journal of Applied and Computational Mathematics 2 Computer Physics Communications 2 Journal of Engineering Mathematics 2 Journal of Fluid Mechanics 2 Journal of Mathematical Analysis and Applications 2 Journal of Statistical Physics 2 Nonlinearity 2 Automatica 2 Quarterly of Applied Mathematics 2 Acta Mathematica Hungarica 2 Constructive Approximation 2 Differential Geometry and its Applications ...and 135 more Journals
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### Cited in 50 Fields

 1,293 Numerical analysis (65-XX) 579 Partial differential equations (35-XX) 223 Fluid mechanics (76-XX) 124 Calculus of variations and optimal control; optimization (49-XX) 101 Optics, electromagnetic theory (78-XX) 87 Integral equations (45-XX) 82 Computer science (68-XX) 80 Information and communication theory, circuits (94-XX) 79 Mechanics of deformable solids (74-XX) 78 Ordinary differential equations (34-XX) 76 Probability theory and stochastic processes (60-XX) 60 Operations research, mathematical programming (90-XX) 50 Biology and other natural sciences (92-XX) 49 Approximations and expansions (41-XX) 44 Linear and multilinear algebra; matrix theory (15-XX) 39 Real functions (26-XX) 39 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 29 Statistical mechanics, structure of matter (82-XX) 23 Operator theory (47-XX) 22 Statistics (62-XX) 20 Harmonic analysis on Euclidean spaces (42-XX) 18 Dynamical systems and ergodic theory (37-XX) 18 Geophysics (86-XX) 14 Differential geometry (53-XX) 14 Systems theory; control (93-XX) 11 Classical thermodynamics, heat transfer (80-XX) 11 Quantum theory (81-XX) 9 Special functions (33-XX) 9 Mechanics of particles and systems (70-XX) 8 Global analysis, analysis on manifolds (58-XX) 8 Astronomy and astrophysics (85-XX) 6 Potential theory (31-XX) 5 Integral transforms, operational calculus (44-XX) 5 Functional analysis (46-XX) 3 General and overarching topics; collections (00-XX) 3 Topological groups, Lie groups (22-XX) 3 Measure and integration (28-XX) 3 Convex and discrete geometry (52-XX) 2 Number theory (11-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 Combinatorics (05-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)