# zbMATH — the first resource for mathematics

## Wang, Lilian

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 Author ID: wang.lilian Published as: Wang, L.; Wang, L. L.; Wang, L.-L.; Wang, Li-Lian; Wang, Li-lian; Wang, Lilian
 Documents Indexed: 162 Publications since 1984, including 1 Book
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#### Co-Authors

 2 single-authored 22 Shen, Jie 16 Guo, Ben-Yu 8 Zhang, Jing 7 Wang, Bo 7 Wang, Zhongqing 6 Li, Huiyuan 6 Tai, Xuecheng 6 Xie, Ziqing 6 Zhao, Xiaodan 5 Liu, Wen-Jie 5 Zhang, Zhimin 4 Gu, Ying 4 Ma, Heping 4 Yang, Zhiguo 3 Huang, Can 3 Rong, Zhijian 3 Tang, Tao 2 Jiao, Yujian 2 Ma, Lina 2 Samson, Michael Daniel 2 Sheng, Changtao 2 Shi, Yuying 2 Xu, Mengjie 2 Yuan, Huifang 2 Zhang, Chao 1 Chang, Huibin 1 Chen, Hongbin 1 Chen, Sheng 1 Chen, Sheng 1 Cheng, Jierong 1 Dong, Haixia 1 Fang, Qirong 1 Gu, Dongqin 1 Guo, Benqi 1 Li, Jingliang 1 Li, Panlin 1 Li, Peijun 1 Li, Youyun 1 Pang, Zhifeng 1 Shi, Yang 1 Shu, Chi-Wang 1 Song, Lunji 1 Tang, Xiaojun 1 Tian, Hongjiong 1 Wang, Chuanli 1 Wood, Aihua W. 1 Wu, Hua 1 Xiang, Shuhuang 1 Xiong, Wei 1 Xu, Jing 1 Yang, Danping 1 Yang, Yufei 1 Yu, Haijun 1 Zhang, Baile 1 Zhang, Liansheng 1 Zhang, Rui 1 Zhang, Shuaiyin 1 Zhou, Bingzhen 1 Zhou, Tao
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#### Serials

 9 SIAM Journal on Numerical Analysis 9 Journal of Scientific Computing 6 Mathematics of Computation 6 Advances in Computational Mathematics 4 Journal of Computational and Applied Mathematics 3 Computer Methods in Applied Mechanics and Engineering 3 Journal of Approximation Theory 3 Numerical Mathematics 3 Communications in Computational Physics 3 Numerical Mathematics: Theory, Methods and Applications 2 IMA Journal of Numerical Analysis 2 Journal of Computational Physics 2 Journal of Mathematical Analysis and Applications 2 Journal of Computational Mathematics 2 Applied Numerical Mathematics 2 SIAM Journal on Applied Mathematics 2 SIAM Journal on Scientific Computing 2 Applied and Computational Harmonic Analysis 2 Journal of Mathematical Study 2 IEEE Transactions on Image Processing 2 Discrete and Continuous Dynamical Systems. Series B 2 International Journal of Numerical Analysis and Modeling 2 Inverse Problems and Imaging 2 Communications on Applied Mathematics and Computation 1 Automatica 1 Journal of Systems Science and Mathematical Sciences 1 Applied Mathematics Letters 1 Numerical Algorithms 1 Journal of Shanghai University. Natural Science 1 Journal of Shanghai University 1 Springer Series in Computational Mathematics 1 SIAM Journal on Imaging Sciences 1 Communication on Applied Mathematics and Computation 1 East Asian Journal on Applied Mathematics
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#### Fields

 76 Numerical analysis (65-XX) 32 Partial differential equations (35-XX) 16 Approximations and expansions (41-XX) 13 Ordinary differential equations (34-XX) 11 Special functions (33-XX) 9 Optics, electromagnetic theory (78-XX) 7 Information and communication theory, circuits (94-XX) 6 Mechanics of deformable solids (74-XX) 4 Fluid mechanics (76-XX) 3 Real functions (26-XX) 3 Calculus of variations and optimal control; optimization (49-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Integral equations (45-XX) 1 History and biography (01-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Functional analysis (46-XX) 1 Operator theory (47-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

115 Publications have been cited 1,562 times in 1,007 Documents Cited by Year
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
2011
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003
Guo, Ben-yu; Wang, Li-lian
2004
Generalized Jacobi functions and their applications to fractional differential equations. Zbl 1335.65066
Chen, Sheng; Shen, Jie; Wang, Li-Lian
2016
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
2006
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
2009
Jacobi interpolation approximations and their applications to singular differential equations. Zbl 0984.41004
Guo, Benyu; Wang, Lilian
2001
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
2009
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
2007
Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory. Zbl 1423.74463
Dai, H. L.; Wang, Y. K.; Wang, L.
2015
Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing
2006
Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domains. Zbl 1154.65082
Shen, Jie; Wang, Li-Lian
2007
Spectral approximation of the Helmholtz equation with high wave numbers. Zbl 1091.65119
Shen, Jie; Wang, Li-Lian
2005
Multiple cracking in functionally graded ceramic/metal coatings. Zbl 0919.73217
Bao, G.; Wang, L.
1995
A well-conditioned collocation method using a pseudospectral integration matrix. Zbl 1297.65086
Wang, Li-Lian; Samson, Michael Daniel; Zhao, Xiaodan
2014
Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method. Zbl 1032.76657
Shu, C.; Wang, L.; Chew, Y. T.
2003
Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis. Zbl 1349.65251
Jiao, Yujian; Wang, Li-Lian; Huang, Can
2016
Size-dependent vibration analysis of three-dimensional cylindrical microbeams based on modified couple stress theory: a unified treatment. Zbl 1423.74416
Wang, L.; Xu, Y. Y.; Ni, Q.
2013
Analysis of spectral approximations using prolate spheroidal wave functions. Zbl 1197.65189
Wang, Li-Lian
2010
Sparse spectral approximations of high-dimensional problems based on hyperbolic cross. Zbl 1215.65179
Shen, Jie; Wang, Li-Lian
2010
A Legendre-Gauss collocation method for nonlinear delay differential equations. Zbl 1229.65140
Wang, Zhong-Qing; Wang, Li-Lian
2010
A triangular spectral element method using fully tensorial rational basis functions. Zbl 1197.65187
Shen, Jie; Wang, Li-Lian; Li, Huiyuan
2009
Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. Zbl 1127.65047
Guo, Ben-Yu; Wang, Zhong-Qing; Tian, Hong-Jiong; Wang, Li-Lian
2008
Sharp error bounds for Jacobi expansions and Gegenbauer-Gauss quadrature of analytic functions. Zbl 1276.65017
Zhao, Xiaodan; Wang, Li-Lian; Xie, Ziqing
2013
A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids. Zbl 1204.33025
Wang, Li-Lian; Zhang, Jing
2010
Analysis of transient electromagentic scattering from a three-dimensional open cavity. Zbl 1405.35204
Li, Peijun; Wang, Li-Lian; Wood, Aihua
2015
Convergence rate of overlapping domain decomposition methods for the Rudin-Osher-Fatemi model based on a dual formulation. Zbl 1329.94010
Chang, Huibin; Tai, Xue-Cheng; Wang, Li-Lian; Yang, Danping
2015
Application of the differential transformation method to vibration analysis of pipes conveying fluid. Zbl 1346.74038
Ni, Q.; Zhang, Z. L.; Wang, L.
2011
Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations. Zbl 1173.65342
Shen, Jie; Wang, Li-Lian
2007
Optimal fractional integration preconditioning and error analysis of fractional collocation method using nodal generalized Jacobi functions. Zbl 1353.65086
Huang, Can; Jiao, Yujian; Wang, Li-Lian; Zhang, Zhimin
2016
Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. Zbl 1336.35309
Wang, Li-Lian; Wang, Bo; Zhao, Xiaodan
2012
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
2010
Efficient bidirectional quantum secure direct communication with single photons in both polarization and spatial-mode degrees of freedom. Zbl 1325.81073
Wang, L. L.; Ma, W. P.; Shen, D. S.; Wang, M. L.
2015
A new triangular spectral element method. I: Implementation and analysis on a triangle. Zbl 1280.65131
Samson, Michael Daniel; Li, Huiyuan; Wang, Li-Lian
2013
Error analysis of spectral method on a triangle. Zbl 1116.65122
Guo, Ben-yu; Wang, Li-Lian
2007
On $$hp$$-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. Zbl 1349.65255
Wang, Li-Lian; Zhang, Jing; Zhang, Zhimin
2014
Superconvergence of Jacobi-Gauss-type spectral interpolation. Zbl 1308.65022
Wang, Li-Lian; Zhao, Xiaodan; Zhang, Zhimin
2014
On exponential convergence of Gegenbauer interpolation and spectral differentiation. Zbl 1262.30023
Xie, Ziqing; Wang, Li-Lian; Zhao, Xiaodan
2013
Instability of simply supported pipes conveying fluid under thermal loads. Zbl 1258.74117
Qian, Q.; Wang, L.; Ni, Q.
2009
A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative. Zbl 1402.65172
Wang, Chuanli; Wang, Zhongqing; Wang, Lilian
2018
Laguerre functions and their applications to tempered fractional differential equations on infinite intervals. Zbl 1398.65314
Chen, Sheng; Shen, Jie; Wang, Li-Lian
2018
Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations. Zbl 1113.65078
Shen, Jie; Wang, Li-Lian
2006
Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics. Zbl 1423.78008
Yang, Zhiguo; Wang, Li-Lian; Rong, Zhijian; Wang, Bo; Zhang, Baile
2016
On $$L^2$$-stability analysis of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. Zbl 1313.65244
Wang, Bo; Wang, Lilian
2014
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. Zbl 1293.65161
Shen, Jie; Wang, Li-Lian; Yu, Haijun
2014
Flexural vibrations of microscale pipes conveying fluid by considering the size effects of micro-flow and micro-structure. Zbl 1423.74288
Wang, L.; Liu, H. T.; Ni, Q.; Wu, Y.
2013
Non-isotropic Jacobi spectral method. Zbl 1040.65097
Guo, Benyu; Wang, Lilian
2003
A new framework for solving fractional optimal control problems using fractional pseudospectral methods. Zbl 1357.49157
Tang, Xiaojun; Shi, Yang; Wang, Li-Lian
2017
Accurate simulation of circular and elliptic cylindrical invisibility cloaks. Zbl 1373.78458
Yang, Zhiguo; Wang, Li-Lian
2015
A prolate-element method for nonlinear PDEs on the sphere. Zbl 1243.76065
Zhang, Jing; Wang, Li-Lian; Rong, Zhijian
2011
An improved estimate of PSWF approximation and approximation by Mathieu functions. Zbl 1215.65162
Wang, Li-Lian; Zhang, Jing
2011
On spectral approximations in elliptical geometries using Mathieu functions. Zbl 1198.65236
Shen, Jie; Wang, Li-Lian
2009
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079
Guo, Ben-Yu; Wang, Li-Lian
2006
Error analysis for mapped Jacobi spectral methods. Zbl 1082.65091
Wang, Li-Lian; Shen, Jie
2005
Error analysis for mapped Legendre spectral and pseudospectral methods. Zbl 1085.65103
Shen, Jie; Wang, Li-Lian
2004
A new collocation scheme using non-polynomial basis functions. Zbl 1359.65138
Zhang, Chao; Liu, Wenjie; Wang, Li-Lian
2017
A new spectral method on triangles. Zbl 1216.65169
Li, Youyun; Wang, Li-Lian; Li, Huiyuan; Ma, Heping
2011
Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces. Zbl 1428.41020
Liu, Wenjie; Wang, Li-Lian; Li, Huiyuan
2019
Exact modes for post-buckling characteristics of nonlocal nanobeams in a longitudinal magnetic field. Zbl 07166668
Dai, H. L.; Ceballes, S.; Abdelkefi, A.; Hong, Y. Z.; Wang, L.
2018
A new technique to design circularly polarized microstrip antenna by fractal defected ground structure. Zbl 1391.78272
Wei, K.; Li, J. Y.; Wang, L.; Xu, R.; Xing, Z. J.
2017
A review of prolate spheroidal wave functions from the perspective of spectral methods. Zbl 1389.33016
Wang, Li-Lian
2017
A novel on-line Observer/Kalman filter identification method and its application to input-constrained active fault-tolerant tracker design for unknown stochastic systems. Zbl 1307.93432
Wu, C.-Y.; Tsai, J. S.-H.; Guo, S.-M.; Shieh, L.-S.; Canelon, J. I.; Ebrahimzadeh, F.; Wang, L.
2015
Modeling and nonlinear dynamics of fluid-conveying risers under hybrid excitations. Zbl 1423.74266
Dai, H. L.; Abdelkefi, A.; Wang, L.
2014
An efficient and accurate spectral method for acoustic scattering in elliptic domains. Zbl 1201.74156
Fang, Qirong; Shen, Jie; Wang, Lilian
2009
Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014
Wang, Li-Lian; Guo, Ben-Yu
2009
Stair Laguerre pseudospectral method for differential equations on the half line. Zbl 1098.65084
Wang, Li-lian; Guo, Ben-yu
2006
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao
2020
An unfitted hybridizable discontinuous Galerkin method for the Poisson interface problem and its error analysis. Zbl 1433.65287
Dong, Haixia; Wang, Bo; Xie, Ziqing; Wang, Li-Lian
2017
Geometry of total variation regularized $$L^p$$-model. Zbl 1259.94020
Shi, Yuying; Wang, Li-Lian; Tai, Xue-Cheng
2012
Incorporating correlation for multivariate failure time data when cluster size is large. Zbl 1192.62135
Xue, L.; Wang, L.; Qu, A.
2010
An immersed boundary finite difference method for LES of flow around bluff shapes. Zbl 1060.76557
Li, C. W.; Wang, L. L.
2004
Recursion models for describing and managing the transient flow of materials in generalized flowlines. Zbl 0672.90066
Saboo, S.; Wang, L.; Wilhelm, W. E.
1989
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang
2020
Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains. Zbl 1329.65286
Ma, Lina; Shen, Jie; Wang, Li-Lian
2015
Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film. Zbl 1326.76009
Wang, Li; Mavromoustaki, A.; Bertozzi, A. L.; Urdaneta, G.; Huang, K.
2015
An efficient spectral-Galerkin method for a waveguide problem in an infinite domain. Zbl 1289.65237
Zhao, Xiaodan; Wang, Lilian
2013
A multi-domain spectral IPDG method for Helmholtz equation with high wave number. Zbl 1289.65265
Song, Lunji; Zhang, Jing; Wang, Lilian
2013
A direct approach toward global minimization for multiphase labeling and segmentation problems. Zbl 1373.49021
Gu, Ying; Wang, Li-Lian; Tai, Xue-Cheng
2012
Enriched machining feature-based reasoning for generic machining process sequencing. Zbl 1128.90468
Wang, L.; Cai, N.; Feng, H.-Y.; Liu, Z.
2006
Distance distribution of nodes in star graphs. Zbl 1119.05035
Wang, L.; Subramanian, S.; Latifi, S.; Srimani, P. K.
2006
A local search method for permutation flow shop scheduling. Zbl 1123.90080
Huang, W. Q.; Wang, L.
2006
The elastic-plastic finite element alternating method (EPFEAM) and the prediction of fracture under WFD conditions in aircraft structures. I: EPFEAM theory. II: Fracture and the $$T^*$$-integral parameter. Zbl 0890.73073
Wang, L.; Brust, F. W.; Atluri, S. N.
1997
Recent advances in the alternating method for elastic and inelastic fracture analyses. Zbl 0884.73054
Wang, L.; Atluri, S. N.
1996
Nonlinear analysis and characteristics of inductive galloping energy harvesters. Zbl 07263365
Dai, H. L.; Yang, Y. W.; Abdelkefi, A.; Wang, L.
2018
Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids. Zbl 1391.78334
Wang, Bo; Wang, Li-Lian; Xie, Ziqing
2018
Development of hypergraph theory. Zbl 1391.05189
Wang, L.; Egorova, E. K.; Mokryakov, A. V.
2018
Vortex-induced vibrations mitigation through a nonlinear energy sink. Zbl 07257071
Dai, H. L.; Abdelkefi, A.; Wang, L.
2017
A collocation method with exact imposition of mixed boundary conditions. Zbl 1203.65052
Wang, Zhong-Qing; Wang, Li-Lian
2010
Hybrid iteration method for fixed points of nonexpansive mappings. Zbl 1167.47053
Wang, L.; Yao, S. Sheng
2007
Mixed Fourier-Jacobi spectral method. Zbl 1104.65100
Wang, Li-Lian; Guo, Ben-Yu
2006
A generalized Gauss-type quadrature formula and its applications to pseudospectral method. Zbl 1030.65121
Wang, Lilian; Guo, Benyu; Wang, Zhongqing
2002
Microscale flow bifurcation and its macroscale implications in periodic porous media. Zbl 1011.76029
Yang, T.; Wang, L.
2000
Shock wave propagation in a branched duct. Zbl 0923.76089
Igra, O.; Wang, L.; Falcovitz, J.; Heilig, W.
1998
Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018
Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin
2020
A new spectral method using nonstandard singular basis functions for time-fractional differential equations. Zbl 07157730
Liu, Wenjie; Wang, Li-Lian; Xiang, Shuhuang
2019
An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. Zbl 1415.78011
Huang, Can; Wang, Li-Lian
2019
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
Wavenumber explicit analysis for time-harmonic Maxwell equations in a spherical shell and spectral approximations. Zbl 06983832
Ma, Lina; Shen, Jie; Wang, Li-Lian; Yang, Zhiguo
2018
Finite element models of hyperelastic materials based on a new strain measure. Zbl 06962885
Salamatova, V. Yu.; Vassilevski, Yu. V.; Wang, L.
2018
On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains. Zbl 1394.65157
Zhang, Chao; Wang, Li-Lian; Gu, Dongqin; Liu, Wenjie
2018
Generalizing Mumford-Shah model for multiphase piecewise smooth image segmentation. Zbl 1409.94208
Gu, Ying; Xiong, Wei; Wang, Li-Lian; Cheng, Jierong
2017
Rational spectral methods for PDEs involving fractional Laplacian in unbounded domains. Zbl 1447.65161
Tang, Tao; Wang, Li-Lian; Yuan, Huifang; Zhou, Tao
2020
Fast Fourier-like mapped Chebyshev spectral-Galerkin methods for PDEs with integral fractional Laplacian in unbounded domains. Zbl 1450.65154
Sheng, Changtao; Shen, Jie; Tang, Tao; Wang, Li-Lian; Yuan, Huifang
2020
Ball prolate spheroidal wave functions in arbitrary dimensions. Zbl 1445.42018
Zhang, Jing; Li, Huiyuan; Wang, Li-Lian; Zhang, Zhimin
2020
Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces. Zbl 1428.41020
Liu, Wenjie; Wang, Li-Lian; Li, Huiyuan
2019
A new spectral method using nonstandard singular basis functions for time-fractional differential equations. Zbl 07157730
Liu, Wenjie; Wang, Li-Lian; Xiang, Shuhuang
2019
An accurate spectral method for the transverse magnetic mode of Maxwell equations in Cole-Cole dispersive media. Zbl 1415.78011
Huang, Can; Wang, Li-Lian
2019
A spectral collocation method for nonlinear fractional boundary value problems with a Caputo derivative. Zbl 1402.65172
Wang, Chuanli; Wang, Zhongqing; Wang, Lilian
2018
Laguerre functions and their applications to tempered fractional differential equations on infinite intervals. Zbl 1398.65314
Chen, Sheng; Shen, Jie; Wang, Li-Lian
2018
Exact modes for post-buckling characteristics of nonlocal nanobeams in a longitudinal magnetic field. Zbl 07166668
Dai, H. L.; Ceballes, S.; Abdelkefi, A.; Hong, Y. Z.; Wang, L.
2018
Nonlinear analysis and characteristics of inductive galloping energy harvesters. Zbl 07263365
Dai, H. L.; Yang, Y. W.; Abdelkefi, A.; Wang, L.
2018
Accurate calculation of spherical and vector spherical harmonic expansions via spectral element grids. Zbl 1391.78334
Wang, Bo; Wang, Li-Lian; Xie, Ziqing
2018
Development of hypergraph theory. Zbl 1391.05189
Wang, L.; Egorova, E. K.; Mokryakov, A. V.
2018
Spectral element methods on hybrid triangular and quadrilateral meshes. Zbl 1416.65480
Li, Jingliang; Ma, Heping; Wang, Li-Lian; Wu, Hua
2018
Wavenumber explicit analysis for time-harmonic Maxwell equations in a spherical shell and spectral approximations. Zbl 06983832
Ma, Lina; Shen, Jie; Wang, Li-Lian; Yang, Zhiguo
2018
Finite element models of hyperelastic materials based on a new strain measure. Zbl 06962885
Salamatova, V. Yu.; Vassilevski, Yu. V.; Wang, L.
2018
On approximate inverse of Hermite and Laguerre collocation differentiation matrices and new collocation schemes in unbounded domains. Zbl 1394.65157
Zhang, Chao; Wang, Li-Lian; Gu, Dongqin; Liu, Wenjie
2018
A new framework for solving fractional optimal control problems using fractional pseudospectral methods. Zbl 1357.49157
Tang, Xiaojun; Shi, Yang; Wang, Li-Lian
2017
A new collocation scheme using non-polynomial basis functions. Zbl 1359.65138
Zhang, Chao; Liu, Wenjie; Wang, Li-Lian
2017
A new technique to design circularly polarized microstrip antenna by fractal defected ground structure. Zbl 1391.78272
Wei, K.; Li, J. Y.; Wang, L.; Xu, R.; Xing, Z. J.
2017
A review of prolate spheroidal wave functions from the perspective of spectral methods. Zbl 1389.33016
Wang, Li-Lian
2017
An unfitted hybridizable discontinuous Galerkin method for the Poisson interface problem and its error analysis. Zbl 1433.65287
Dong, Haixia; Wang, Bo; Xie, Ziqing; Wang, Li-Lian
2017
Vortex-induced vibrations mitigation through a nonlinear energy sink. Zbl 07257071
Dai, H. L.; Abdelkefi, A.; Wang, L.
2017
Generalizing Mumford-Shah model for multiphase piecewise smooth image segmentation. Zbl 1409.94208
Gu, Ying; Xiong, Wei; Wang, Li-Lian; Cheng, Jierong
2017
Optimal spectral schemes based on generalized prolate spheroidal wave functions of order $$-1$$. Zbl 1359.65139
Zhang, Jing; Wang, Li-Lian; Li, Huiyuan; Zhang, Zhimin
2017
Generalized Jacobi functions and their applications to fractional differential equations. Zbl 1335.65066
Chen, Sheng; Shen, Jie; Wang, Li-Lian
2016
Well-conditioned fractional collocation methods using fractional Birkhoff interpolation basis. Zbl 1349.65251
Jiao, Yujian; Wang, Li-Lian; Huang, Can
2016
Optimal fractional integration preconditioning and error analysis of fractional collocation method using nodal generalized Jacobi functions. Zbl 1353.65086
Huang, Can; Jiao, Yujian; Wang, Li-Lian; Zhang, Zhimin
2016
Seamless integration of global Dirichlet-to-Neumann boundary condition and spectral elements for transformation electromagnetics. Zbl 1423.78008
Yang, Zhiguo; Wang, Li-Lian; Rong, Zhijian; Wang, Bo; Zhang, Baile
2016
Nonlinear dynamics of cantilevered microbeams based on modified couple stress theory. Zbl 1423.74463
Dai, H. L.; Wang, Y. K.; Wang, L.
2015
Analysis of transient electromagentic scattering from a three-dimensional open cavity. Zbl 1405.35204
Li, Peijun; Wang, Li-Lian; Wood, Aihua
2015
Convergence rate of overlapping domain decomposition methods for the Rudin-Osher-Fatemi model based on a dual formulation. Zbl 1329.94010
Chang, Huibin; Tai, Xue-Cheng; Wang, Li-Lian; Yang, Danping
2015
Efficient bidirectional quantum secure direct communication with single photons in both polarization and spatial-mode degrees of freedom. Zbl 1325.81073
Wang, L. L.; Ma, W. P.; Shen, D. S.; Wang, M. L.
2015
Accurate simulation of circular and elliptic cylindrical invisibility cloaks. Zbl 1373.78458
Yang, Zhiguo; Wang, Li-Lian
2015
A novel on-line Observer/Kalman filter identification method and its application to input-constrained active fault-tolerant tracker design for unknown stochastic systems. Zbl 1307.93432
Wu, C.-Y.; Tsai, J. S.-H.; Guo, S.-M.; Shieh, L.-S.; Canelon, J. I.; Ebrahimzadeh, F.; Wang, L.
2015
Spectral approximation of time-harmonic Maxwell equations in three-dimensional exterior domains. Zbl 1329.65286
Ma, Lina; Shen, Jie; Wang, Li-Lian
2015
Rarefaction-singular shock dynamics for conserved volume gravity driven particle-laden thin film. Zbl 1326.76009
Wang, Li; Mavromoustaki, A.; Bertozzi, A. L.; Urdaneta, G.; Huang, K.
2015
A fast edge detection algorithm using binary labels. Zbl 1332.65027
Shi, Yuying; Gu, Ying; Wang, Li-Lian; Tai, Xue-Cheng
2015
A well-conditioned collocation method using a pseudospectral integration matrix. Zbl 1297.65086
Wang, Li-Lian; Samson, Michael Daniel; Zhao, Xiaodan
2014
On $$hp$$-convergence of prolate spheroidal wave functions and a new well-conditioned prolate-collocation scheme. Zbl 1349.65255
Wang, Li-Lian; Zhang, Jing; Zhang, Zhimin
2014
Superconvergence of Jacobi-Gauss-type spectral interpolation. Zbl 1308.65022
Wang, Li-Lian; Zhao, Xiaodan; Zhang, Zhimin
2014
On $$L^2$$-stability analysis of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. Zbl 1313.65244
Wang, Bo; Wang, Lilian
2014
Approximations by orthonormal mapped Chebyshev functions for higher-dimensional problems in unbounded domains. Zbl 1293.65161
Shen, Jie; Wang, Li-Lian; Yu, Haijun
2014
Modeling and nonlinear dynamics of fluid-conveying risers under hybrid excitations. Zbl 1423.74266
Dai, H. L.; Abdelkefi, A.; Wang, L.
2014
Central semicommutative rings. Zbl 1327.16028
Wang, L.; Wei, J. C.
2014
Size-dependent vibration analysis of three-dimensional cylindrical microbeams based on modified couple stress theory: a unified treatment. Zbl 1423.74416
Wang, L.; Xu, Y. Y.; Ni, Q.
2013
Sharp error bounds for Jacobi expansions and Gegenbauer-Gauss quadrature of analytic functions. Zbl 1276.65017
Zhao, Xiaodan; Wang, Li-Lian; Xie, Ziqing
2013
A new triangular spectral element method. I: Implementation and analysis on a triangle. Zbl 1280.65131
Samson, Michael Daniel; Li, Huiyuan; Wang, Li-Lian
2013
On exponential convergence of Gegenbauer interpolation and spectral differentiation. Zbl 1262.30023
Xie, Ziqing; Wang, Li-Lian; Zhao, Xiaodan
2013
Flexural vibrations of microscale pipes conveying fluid by considering the size effects of micro-flow and micro-structure. Zbl 1423.74288
Wang, L.; Liu, H. T.; Ni, Q.; Wu, Y.
2013
An efficient spectral-Galerkin method for a waveguide problem in an infinite domain. Zbl 1289.65237
Zhao, Xiaodan; Wang, Lilian
2013
A multi-domain spectral IPDG method for Helmholtz equation with high wave number. Zbl 1289.65265
Song, Lunji; Zhang, Jing; Wang, Lilian
2013
Adaptive wavelet collocation methods for image segmentation using TV-Allen-Cahn type models. Zbl 1263.65023
Rong, Zhijian; Wang, Li-Lian; Tai, Xue-Cheng
2013
Fast and accurate computation of time-domain acoustic scattering problems with exact nonreflecting boundary conditions. Zbl 1336.35309
Wang, Li-Lian; Wang, Bo; Zhao, Xiaodan
2012
Geometry of total variation regularized $$L^p$$-model. Zbl 1259.94020
Shi, Yuying; Wang, Li-Lian; Tai, Xue-Cheng
2012
A direct approach toward global minimization for multiphase labeling and segmentation problems. Zbl 1373.49021
Gu, Ying; Wang, Li-Lian; Tai, Xue-Cheng
2012
The Legendre triangle spectral element method for elliptic equations. Zbl 1265.65245
Zhang, Shuaiyin; Ma, Heping; Wang, Lilian
2012
Spectral methods. Algorithms, analysis and applications. Zbl 1227.65117
Shen, Jie; Tang, Tao; Wang, Li-Lian
2011
Application of the differential transformation method to vibration analysis of pipes conveying fluid. Zbl 1346.74038
Ni, Q.; Zhang, Z. L.; Wang, L.
2011
A prolate-element method for nonlinear PDEs on the sphere. Zbl 1243.76065
Zhang, Jing; Wang, Li-Lian; Rong, Zhijian
2011
An improved estimate of PSWF approximation and approximation by Mathieu functions. Zbl 1215.65162
Wang, Li-Lian; Zhang, Jing
2011
A new spectral method on triangles. Zbl 1216.65169
Li, Youyun; Wang, Li-Lian; Li, Huiyuan; Ma, Heping
2011
Fast algorithms for the anisotropic LLT model in image denoising. Zbl 1286.94024
Pang, Zhi-Feng; Wang, Li-Lian; Yang, Yu-Fei
2011
Analysis of spectral approximations using prolate spheroidal wave functions. Zbl 1197.65189
Wang, Li-Lian
2010
Sparse spectral approximations of high-dimensional problems based on hyperbolic cross. Zbl 1215.65179
Shen, Jie; Wang, Li-Lian
2010
A Legendre-Gauss collocation method for nonlinear delay differential equations. Zbl 1229.65140
Wang, Zhong-Qing; Wang, Li-Lian
2010
A new generalization of the PSWFs with applications to spectral approximations on quasi-uniform grids. Zbl 1204.33025
Wang, Li-Lian; Zhang, Jing
2010
A two-level domain decomposition method for image restoration. Zbl 1204.68250
Xu, Jing; Tai, Xue-Cheng; Wang, Li-Lian
2010
Incorporating correlation for multivariate failure time data when cluster size is large. Zbl 1192.62135
Xue, L.; Wang, L.; Qu, A.
2010
A collocation method with exact imposition of mixed boundary conditions. Zbl 1203.65052
Wang, Zhong-Qing; Wang, Li-Lian
2010
Some recent advances on spectral methods for unbounded domains. Zbl 1364.65265
Shen, Jie; Wang, Li-Lian
2009
Generalized Jacobi polynomials/functions and their applications. Zbl 1171.33006
Guo, Ben-Yu; Shen, Jie; Wang, Li-Lian
2009
A triangular spectral element method using fully tensorial rational basis functions. Zbl 1197.65187
Shen, Jie; Wang, Li-Lian; Li, Huiyuan
2009
Instability of simply supported pipes conveying fluid under thermal loads. Zbl 1258.74117
Qian, Q.; Wang, L.; Ni, Q.
2009
On spectral approximations in elliptical geometries using Mathieu functions. Zbl 1198.65236
Shen, Jie; Wang, Li-Lian
2009
An efficient and accurate spectral method for acoustic scattering in elliptic domains. Zbl 1201.74156
Fang, Qirong; Shen, Jie; Wang, Lilian
2009
Interpolation approximations based on Gauss-Lobatto-Legendre-Birkhoff quadrature. Zbl 1179.47014
Wang, Li-Lian; Guo, Ben-Yu
2009
Integration processes of ordinary differential equations based on Laguerre-Radau interpolations. Zbl 1127.65047
Guo, Ben-Yu; Wang, Zhong-Qing; Tian, Hong-Jiong; Wang, Li-Lian
2008
Reconfigurable manufacturing systems: the state of the art. Zbl 1160.90368
Bi, Z. M.; Lang, S. Y. T.; Shen, W.; Wang, L.
2008
Fourierization of the Legendre-Galerkin method and a new space-time spectral method. Zbl 1118.65111
Shen, Jie; Wang, Li-Lian
2007
Analysis of a spectral-Galerkin approximation to the Helmholtz equation in exterior domains. Zbl 1154.65082
Shen, Jie; Wang, Li-Lian
2007
Legendre and Chebyshev dual-Petrov-Galerkin methods for hyperbolic equations. Zbl 1173.65342
Shen, Jie; Wang, Li-Lian
2007
Error analysis of spectral method on a triangle. Zbl 1116.65122
Guo, Ben-yu; Wang, Li-Lian
2007
Hybrid iteration method for fixed points of nonexpansive mappings. Zbl 1167.47053
Wang, L.; Yao, S. Sheng
2007
Optimal spectral-Galerkin methods using generalized Jacobi polynomials. Zbl 1102.76047
Guo, Benyu; Shen, Jie; Wang, Li-Lian
2006
Generalized Laguerre interpolation and pseudospectral method for unbounded domains. Zbl 1116.41002
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing
2006
Laguerre and composite Legendre-Laguerre dual-Petrov-Galerkin methods for third-order equations. Zbl 1113.65078
Shen, Jie; Wang, Li-Lian
2006
Modified Laguerre pseudospectral method refined by multidomain Legendre pseudospectral approximation. Zbl 1087.65079
Guo, Ben-Yu; Wang, Li-Lian
2006
Stair Laguerre pseudospectral method for differential equations on the half line. Zbl 1098.65084
Wang, Li-lian; Guo, Ben-yu
2006
Enriched machining feature-based reasoning for generic machining process sequencing. Zbl 1128.90468
Wang, L.; Cai, N.; Feng, H.-Y.; Liu, Z.
2006
Distance distribution of nodes in star graphs. Zbl 1119.05035
Wang, L.; Subramanian, S.; Latifi, S.; Srimani, P. K.
2006
A local search method for permutation flow shop scheduling. Zbl 1123.90080
Huang, W. Q.; Wang, L.
2006
Mixed Fourier-Jacobi spectral method. Zbl 1104.65100
Wang, Li-Lian; Guo, Ben-Yu
2006
Spectral approximation of the Helmholtz equation with high wave numbers. Zbl 1091.65119
Shen, Jie; Wang, Li-Lian
2005
Error analysis for mapped Jacobi spectral methods. Zbl 1082.65091
Wang, Li-Lian; Shen, Jie
2005
Modeling nongray gas-phase and soot radition in luminous turbulent nonpremixed jet flames. Zbl 1079.80508
Wang, L.; Modest, M. F.; Haworth, D. C.; Turns, S. R.
2005
Jacobi approximations in non-uniformly Jacobi-weighted Sobolev spaces. Zbl 1057.41003
Guo, Ben-yu; Wang, Li-lian
2004
Error analysis for mapped Legendre spectral and pseudospectral methods. Zbl 1085.65103
Shen, Jie; Wang, Li-Lian
2004
An immersed boundary finite difference method for LES of flow around bluff shapes. Zbl 1060.76557
Li, C. W.; Wang, L. L.
2004
Non-isotropic Jacobi spectral methods for unbounded domains. Zbl 1077.65126
Wang, Lilian; Guo, Benyu
2004
Numerical computation of three-dimensional incompressible Navier-Stokes equations in primitive variable form by DQ method. Zbl 1032.76657
Shu, C.; Wang, L.; Chew, Y. T.
2003
...and 15 more Documents
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#### Cited by 1,430 Authors

 46 Guo, Ben-Yu 44 Wang, Lilian 41 Shen, Jie 32 Wang, Zhongqing 24 Bhrawy, Ali Hassan 21 Li, Huiyuan 21 Zhang, Zhimin 18 Ghayesh, Mergen H. 17 Farokhi, Hamed 16 Doha, Eid H. 16 Yi, Lijun 15 Dehghan Takht Fooladi, Mehdi 15 Liu, Wen-Jie 15 Wang, Tianjun 13 Huang, Yunqing 11 Abd-Elhameed, Waleed Mohamed 11 Karniadakis, George Em 11 Mao, Zhiping 11 Wang, Hong 11 Wu, Boying 10 Chen, Yanping 9 Huang, Can 9 Karoui, Abderrazek 9 Ma, Heping 9 Zaky, Mahmoud A. 8 Eslahchi, Mohammad Reza 8 Jiao, Yujian 8 Lee, Chang-Ock 8 Li, Jichun 8 Mokhtary, Payam 8 Yang, Yin 8 Yu, Xuhong 8 Zhang, Chao 8 Zhang, Zhongqiang 8 Zhao, Jingjun 8 Zhao, Xiaofei 7 An, Jing 7 Cai, Haotao 7 Dehrouyeh-Semnani, Amir Mehdi 7 Nelakanti, Gnaneshwar 7 Park, Jongho 7 Tang, Tao 7 Xu, Chuanju 7 Xu, Yang 7 Zhang, Xiaoyong 6 Babolian, Esmail 6 Băleanu, Dumitru I. 6 Deng, Weihua 6 Ervin, Vincent J. 6 Fakhar-Izadi, Farhad 6 Gholipour, Alireza 6 Liu, Fawang 6 Nicholls, David P. 6 Parand, Kourosh 6 Sun, Jiebao 6 Sun, Tao 6 Tang, Xiaojun 6 Wang, Haiyong 6 Wang, Yingwei 6 Yan, Yubin 6 Zhang, Jing 6 Zheng, Xiangcheng 5 Chang, Huibin 5 Das, Payel 5 Gao, Yixian 5 Ghoreishi, Farideh 5 Guo, Benqi 5 Hafez, Ramy Mahmoud 5 Han, Jiayu 5 Jia, Hongli 5 Jiang, Xiaoyun 5 Lu, Shujuan 5 Machado, José António Tenreiro 5 Singh, Manu Pratap 5 Xiang, Shuhuang 5 Xiao, Aiguo 5 Xie, Ziqing 5 Yang, Yidu 5 Zhang, YanMing 4 Babolian, Esmaeil 4 Bi, Hai 4 Boyd, John Philip 4 de la Hoz, Francisco 4 Gheorghiu, Călin Ioan 4 Gosse, Laurent 4 Gu, Zhendong 4 Javadi, Shahnam 4 Li, Peijun 4 Li, Xianjuan 4 Li, Xiao 4 Nikkhah-Bahrami, Mansour 4 Qiao, Zhonghua 4 Sheng, Changtao 4 Tai, Xuecheng 4 Townsend, Alex 4 Wang, Bo 4 Wu, Haijun 4 Zeng, Fanhai 4 Zhang, Luming 4 Zhao, Xuan ...and 1,330 more Authors
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#### Cited in 176 Serials

 99 Journal of Scientific Computing 73 Applied Numerical Mathematics 54 Journal of Computational Physics 48 Journal of Computational and Applied Mathematics 46 International Journal of Engineering Science 43 Applied Mathematics and Computation 34 SIAM Journal on Scientific Computing 28 Numerical Algorithms 25 Mathematics of Computation 25 Applied Mathematical Modelling 23 Computers & Mathematics with Applications 23 SIAM Journal on Numerical Analysis 23 Advances in Computational Mathematics 17 Computer Methods in Applied Mechanics and Engineering 15 Mathematical Methods in the Applied Sciences 14 Computational and Applied Mathematics 12 International Journal of Computer Mathematics 11 Numerische Mathematik 11 Applied Mathematics Letters 10 Computers and Fluids 10 Abstract and Applied Analysis 9 International Journal of Theoretical Physics 9 Numerical Methods for Partial Differential Equations 9 Mathematical Problems in Engineering 8 European Journal of Mechanics. A. Solids 7 Discrete and Continuous Dynamical Systems. Series B 7 Computational Methods in Applied Mathematics 7 Advances in Difference Equations 7 Communications on Applied Mathematics and Computation 6 Science China. Mathematics 5 Journal of Mathematical Analysis and Applications 5 Theoretical Population Biology 5 Applied Mathematics and Mechanics. (English Edition) 5 European Journal of Operational Research 5 Applied and Computational Harmonic Analysis 5 Nonlinear Dynamics 5 Fractional Calculus & Applied Analysis 5 Communications in Nonlinear Science and Numerical Simulation 5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 4 Chaos, Solitons and Fractals 4 Automatica 4 Calcolo 4 Journal of Approximation Theory 4 SIAM Journal on Mathematical Analysis 4 Engineering Analysis with Boundary Elements 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Frontiers of Mathematics in China 4 Inverse Problems and Imaging 4 East Asian Journal on Applied Mathematics 3 Acta Mechanica 3 Computer Physics Communications 3 Journal of Fluid Mechanics 3 BIT 3 Journal of Optimization Theory and Applications 3 Mathematics and Computers in Simulation 3 International Journal of Production Research 3 Acta Mathematicae Applicatae Sinica. English Series 3 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Computational Optimization and Applications 3 International Journal of Numerical Methods for Heat & Fluid Flow 3 Integral Transforms and Special Functions 3 Discrete and Continuous Dynamical Systems 3 The Journal of Fourier Analysis and Applications 3 Journal of Inequalities and Applications 3 Journal of Applied Mathematics 3 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 3 Journal of Applied Mathematics and Computing 3 International Journal of Computational Methods 3 SIAM Journal on Imaging Sciences 3 Discrete and Continuous Dynamical Systems. Series S 3 International Journal of Structural Stability and Dynamics 3 Mathematical Sciences 2 International Journal of Heat and Mass Transfer 2 Journal of the Franklin Institute 2 International Journal for Numerical Methods in Engineering 2 Journal of Differential Equations 2 Meccanica 2 Physica D 2 Constructive Approximation 2 Pattern Recognition 2 SIAM Journal on Applied Mathematics 2 Archive of Applied Mechanics 2 Journal of Computer and Systems Sciences International 2 Communications in Numerical Methods in Engineering 2 ETNA. Electronic Transactions on Numerical Analysis 2 Lifetime Data Analysis 2 Journal of Mathematical Chemistry 2 Journal of Vibration and Control 2 Chaos 2 Differential Equations 2 Multiscale Modeling & Simulation 2 Quantum Information Processing 2 Afrika Matematika 2 Journal of Linear and Topological Algebra 2 Journal of Function Spaces 2 International Journal of Systems Science. Principles and Applications of Systems and Integration 2 AMM. Applied Mathematics and Mechanics. (English Edition) 1 Applicable Analysis 1 Archive for Rational Mechanics and Analysis ...and 76 more Serials
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#### Cited in 44 Fields

 723 Numerical analysis (65-XX) 331 Partial differential equations (35-XX) 136 Mechanics of deformable solids (74-XX) 129 Ordinary differential equations (34-XX) 107 Fluid mechanics (76-XX) 102 Approximations and expansions (41-XX) 86 Integral equations (45-XX) 72 Special functions (33-XX) 58 Real functions (26-XX) 44 Optics, electromagnetic theory (78-XX) 38 Calculus of variations and optimal control; optimization (49-XX) 31 Harmonic analysis on Euclidean spaces (42-XX) 26 Statistical mechanics, structure of matter (82-XX) 26 Information and communication theory, circuits (94-XX) 25 Computer science (68-XX) 23 Operations research, mathematical programming (90-XX) 17 Quantum theory (81-XX) 14 Classical thermodynamics, heat transfer (80-XX) 14 Biology and other natural sciences (92-XX) 14 Systems theory; control (93-XX) 12 Operator theory (47-XX) 11 Probability theory and stochastic processes (60-XX) 11 Mechanics of particles and systems (70-XX) 10 Dynamical systems and ergodic theory (37-XX) 10 Integral transforms, operational calculus (44-XX) 9 Functional analysis (46-XX) 8 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 7 Statistics (62-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 5 Combinatorics (05-XX) 4 General and overarching topics; collections (00-XX) 4 Astronomy and astrophysics (85-XX) 4 Geophysics (86-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Functions of a complex variable (30-XX) 1 Field theory and polynomials (12-XX) 1 Associative rings and algebras (16-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Difference and functional equations (39-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)