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Author ID: lai.mingjun Recent zbMATH articles by "Lai, Mingjun"
Published as: Lai, Ming-Jun; Lai, Mingjun; Lai, M. J.; Lai, Ming Jun; Lai, M.-J.
External Links: MGP · Wikidata · IdRef
all top 5

Serials

10 Journal of Approximation Theory
10 Computer Aided Geometric Design
8 Applied and Computational Harmonic Analysis
7 SIAM Journal on Numerical Analysis
5 Journal of Computational and Applied Mathematics
5 Journal of Scientific Computing
4 Mathematics of Computation
4 Approximation Theory and its Applications
4 Advances in Computational Mathematics
3 Numerische Mathematik
3 Mathematica Numerica Sinica
3 Journal of Hangzhou University. Natural Science Edition
3 Constructive Approximation
3 SIAM Journal on Scientific Computing
2 Applicable Analysis
2 Applied Numerical Mathematics
2 Numerical Methods for Partial Differential Equations
2 Numerical Algorithms
2 Statistica Sinica
2 SIAM Journal on Imaging Sciences
1 Archive for Rational Mechanics and Analysis
1 Computers and Fluids
1 Journal of Mathematical Analysis and Applications
1 Mathematical Biosciences
1 Studia Mathematica
1 BIT
1 Studia Scientiarum Mathematicarum Hungarica
1 Numerical Mathematics
1 Journal of Computational Mathematics
1 Mathematical and Computer Modelling
1 Science in China. Series A
1 SIAM Journal on Mathematical Analysis
1 Scientia Sinica. Series A
1 Journal of Approximation Theory and its Applications
1 SIAM Journal on Optimization
1 The Journal of Fourier Analysis and Applications
1 Journal of Nonparametric Statistics
1 Acta Mathematica Sinica. English Series
1 Journal of Concrete and Applicable Mathematics
1 Encyclopedia of Mathematics and Its Applications
1 Other Titles in Applied Mathematics
1 Pure and Applied Functional Analysis
1 SIAM Journal on Mathematics of Data Science

Publications by Year

Citations contained in zbMATH Open

105 Publications have been cited 1,716 times in 1,177 Documents Cited by Year
Spline functions on triangulations. Zbl 1185.41001
Lai, Ming-Jun; Schumaker, Larry L.
280
2007
Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\). Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
170
2009
Improved iteratively reweighted least squares for unconstrained smoothed \(\ell_q\) minimization. Zbl 1268.49038
Lai, Ming-Jun; Xu, Yangyang; Yin, Wotao
131
2013
Initial-boundary value problem for two-dimensional viscous Boussinesq equations. Zbl 1231.35171
Lai, Ming-Jun; Pan, Ronghua; Zhao, Kun
94
2011
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
76
2017
An unconstrained \(\ell_q\) minimization with \(0<q\leq 1\) for sparse solution of underdetermined linear systems. Zbl 1220.65051
Lai, Ming-Jun; Wang, Jingyue
59
2011
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
Lai, Ming-Jun; Stöckler, Joachim
43
2006
Macro-elements and stable local bases for splines on Powell-Sabin triangulations. Zbl 1009.41007
Lai, Ming-Jun; Schumaker, Larry L.
38
2003
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
34
1998
The multivariate spline mehtod for scattered data fitting and numerical solution of partial differential equations. Zbl 1099.65018
Awanou, Gerard; Lai, Ming-Jun; Wenston, Paul
30
2006
Augmented \(\ell_1\) and nuclear-norm models with a globally linearly convergent algorithm. Zbl 1279.68329
Lai, Ming-Jun; Yin, Wotao
29
2013
Multivariate vertex splines and finite elements. Zbl 0702.41017
Chui, Charles K.; Lai, Ming-Jun
28
1990
Macro-elements and stable local bases for splines on Clough-Tocher triangulations. Zbl 0989.65013
Lai, Ming-Jun; Schumaker, Larry L.
24
2001
Polygonal spline spaces and the numerical solution of the Poisson equation. Zbl 1416.65474
Floater, Michael S.; Lai, Ming-Jun
21
2016
Factorization of multivariate positive Laurent polynomials. Zbl 1099.12001
Geronimo, Jeffrey S.; Lai, Ming-Jun
21
2006
Bivariate splines of various degrees for numerical solution of partial differential equations. Zbl 1144.65075
Hu, Xian-Liang; Han, Dan-Fu; Lai, Ming-Jun
20
2007
Construction of real-time spline quasi-interpolation schemes. Zbl 0692.41014
Chen, G.; Chui, C. K.; Lai, M. J.
20
1988
Bivariate penalized splines for regression. Zbl 06202712
Lai, Ming-Jun; Wang, Li
18
2013
A multivariate analog of Marsden’s identity and a quasi-interpolation scheme. Zbl 0623.41009
Chui, C. K.; Lai, M. J.
17
1987
Bivariate splines for spatial functional regression models. Zbl 1189.62068
Guillas, Serge; Lai, Ming-Jun
17
2010
Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials. Zbl 0873.65011
Lai, Ming-Jun
16
1996
On bivariate super vertex splines. Zbl 0726.41012
Chui, Charles K.; Lai, Mingjun
16
1990
Bivariate splines for fluid flows. Zbl 1086.76058
Lai, Ming-Jun; Wenston, Paul
16
2004
On bivariate vertex splines. Zbl 0588.65009
Chui, C. K.; Lai, M. J.
15
1985
On the approximation power of splines on triangulated quadrangulations. Zbl 0921.41006
Lai, Ming-Jun; Schumaker, Larry L.
15
1998
On \(C^ 2\) quintic spline functions over triangulations of Powell-Sabin’s type. Zbl 0866.65007
Lai, Ming-Jun
14
1996
Sparse recovery with pre-Gaussian random matrices. Zbl 1205.15007
Foucart, Simon; Lai, Ming-Jun
14
2010
The null space property for sparse recovery from multiple measurement vectors. Zbl 1228.65057
Lai, Ming-Jun; Liu, Yang
14
2011
Spherical splines for data interpolation and fitting. Zbl 1116.65010
Baramidze, V.; Lai, M. J.; Shum, C. K.
13
2006
Fortran subroutines for B-nets of box splines on three- and four- directional meshes. Zbl 0746.65013
Lai, Ming-Jun
13
1992
A new kind of trivariate \(C^1\) macro-element. Zbl 1068.41016
Lai, Ming-Jun; LeMéhauté, A.
13
2004
Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities. Zbl 0960.42017
He, Wenjie; Lai, Ming-Jun
13
1999
Trivariate spline approximations of 3D Navier-Stokes equations. Zbl 1085.76053
Awanou, Gerard; Lai, Ming-Jun
13
2005
Error bounds for minimal energy bivariate polynomial splines. Zbl 1012.41011
von Golitschek, Manfred; Lai, Ming-Jun; Schumaker, Larry L.
12
2002
Construction of multivariate compactly supported orthonormal wavelets. Zbl 1101.65124
Lai, Ming-Jun
12
2006
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes. Zbl 0744.65009
Chui, Charles K.; Lai, Ming-Jun
12
1991
Scattered data interpolation using \(C^ 2\) supersplines of degree six. Zbl 0872.41004
Lai, Ming-Jun; Schumaker, Larry L.
12
1997
Filling polygonal holes using \(C^{1}\) cubic triangular spline patches. Zbl 0938.68122
Chui, C. K.; Lai, M.-J.
12
2000
Error bounds for minimal energy interpolatory spherical splines. Zbl 1078.41009
Baramidze, Victoria; Lai, Ming-Jun
11
2005
Computation of box splines and B-splines on triangulations of nonuniform rectangular partitions. Zbl 0682.41020
Chui, C. K.; Lai, M. J.
11
1987
Orthogonal rank-one matrix pursuit for low rank matrix completion. Zbl 1315.65044
Wang, Zheng; Lai, Ming-Jun; Lu, Zhaosong; Fan, Wei; Davulcu, Hasan; Ye, Jieping
10
2015
Convex preserving scattered data interpolation using bivariate \(C^1\) cubic splines. Zbl 0966.65016
Lai, Ming-Jun
10
2000
Bivariate spline method for numerical solution of steady-state Navier-Stokes equations over polygons in stream function formulation. Zbl 0968.76041
Lai, Ming-Jun; Wenston, Paul
10
2000
A unified convergence theory for Newton-type methods for zeros of nonlinear operators in Banach spaces. Zbl 0998.65057
Wang, Xinghua; Li, Chong; Lai, Ming-Jun
10
2002
On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems. Zbl 1075.65040
Awanou, G. M.; Lai, M. J.
9
2005
Sharp sufficient conditions for stable recovery of block sparse signals by block orthogonal matching pursuit. Zbl 1422.94017
Wen, Jinming; Zhou, Zhengchun; Liu, Zilong; Lai, Ming-Jun; Tang, Xiaohu
9
2019
Energy minimization method for scattered data Hermite interpolation. Zbl 1141.65008
Zhou, Tianhe; Han, Danfu; Lai, Ming-Jun
8
2008
Asymptotic formulae of multivariate Bernstein approximation. Zbl 0766.41009
Lai, Ming-Jun
8
1992
On the divided differences of the remainder in polynomial interpolation. Zbl 1062.41025
Wang, Xinghua; Lai, Ming-Jun; Yang, Shijun
8
2004
A characterization theorem of multivariate splines in blossoming form. Zbl 0745.41010
Lai, Ming-Jun
7
1991
On recursive refinement of convex polygons. Zbl 1418.65024
Lai, Ming-Jun; Slavov, George
7
2016
Efficient estimation of partially linear models for data on complicated domains by bivariate penalized splines over triangulations. Zbl 1444.62054
Wang, Li; Wang, Guannan; Lai, Ming-Jun; Gao, Lei
7
2020
A domain decomposition method for computing bivariate spline fits of scattered data. Zbl 1193.41007
Lai, Ming-Jun; Schumaker, Larry L.
7
2009
On sparse solutions of underdetermined linear systems. Zbl 1194.65061
Lai, Ming-Jun
7
2010
Box spline wavelet frames for image edge analysis. Zbl 1278.62100
Guo, Weihong; Lai, Ming-Jun
6
2013
Method of virtual components for constructing redundant filter banks and wavelet frames. Zbl 1143.42040
Lai, Ming-Jun; Petukhov, Alexander
6
2007
Trivariate \(C^{r}\) polynomial macroelements. Zbl 1117.41010
Lai, Ming-Jun; Schumaker, Larry L.
6
2007
Spherical spline solution to a PDE on the sphere. Zbl 1099.65104
Baramidze, Victoria; Lai, Ming-Jun
6
2006
Parameterizations of univariate orthogonal wavelets with short support. Zbl 1024.42022
Lai, Ming-Jun; Roach, David W.
6
2002
Geometric interpretation of smoothness conditions of triangular polynomial patches. Zbl 0906.68155
Lai, Ming-Jun
6
1997
Some sufficient conditions for convexity of multivariate Bernstein- Bézieer polynomials and box spline surfaces. Zbl 0803.41012
Lai, Ming-Jun
6
1993
Approximation order for bivariate \(C^ 1\)-cubics on a four-directional mesh is full. Zbl 0792.41023
Lai, Ming-Jun
6
1994
Piecewise linear approximation of the continuous Rudin-Osher-Fatemi model for image denoising. Zbl 1264.65096
Lai, Ming-Jun; Messi, Leopold Matamba
6
2012
A \(C^r\) trivariate macro-element based on the Alfeld split of tetrahedra. Zbl 1300.41006
Lai, Ming-Jun; Matt, Michael A.
5
2013
Construction of multivariate compactly supported prewavelets in \(L_{2}\) space and pre-Riesz bases in Sobolev spaces. Zbl 1105.42025
Lai, Ming-Jun
5
2006
On dual functionals of polynomials in B-form. Zbl 0738.41014
Lai, Ming-Jun
5
1991
Construction of trivariate compactly supported biorthogonal box spline wavelets. Zbl 1019.42024
He, Wenjie; Lai, Ming-Jun
5
2003
Quadrilateral macroelements. Zbl 1001.41007
Lai, Ming-Jun; Schumaker, Larry L.
5
2002
Multivariate splines for data fitting and approximation. Zbl 1146.41005
Lai, Ming-Jun
5
2008
The convergence of a central-difference discretization of Rudin-Osher-Fatemi model for image denoising. Zbl 1371.94209
Lai, Ming-Jun; Lucier, Bradley; Wang, Jingyue
5
2009
Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation. Zbl 1075.76040
Lai, Ming-Jun; Liu, Chun; Wenston, Paul
4
2003
On the computation of Battle-Lemarié’s wavelets. Zbl 0807.42026
Lai, Ming-Jun
4
1994
Methods for constructing nonseparable compactly supported orthonormal wavelets. Zbl 1027.42030
Lai, Ming-Jun
4
2002
Scattered data interpolation by bivariate splines with higher approximation order. Zbl 1255.65034
Zhou, Tianhe; Lai, Ming-Jun
4
2013
On DC based methods for phase retrieval. Zbl 1481.94054
Huang, Meng; Lai, Ming-Jun; Varghese, Abraham; Xu, Zhiqiang
4
2021
The probabilistic estimates on the largest and smallest \(q\)-singular values of random matrices. Zbl 1314.60028
Lai, Ming-Jun; Liu, Yang
3
2015
Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains. Zbl 1364.92033
Gutierrez, Juan B.; Lai, Ming-Jun; Slavov, George
3
2015
C\(^{1}\) quintic spline interpolation over tetrahedral partitions. Zbl 1024.41002
Awanou, Gerard; Lai, Ming-Jun
3
2002
An adaptive triangulation method for bivariate spline solutions of PDEs. Zbl 1385.65059
Lai, Ming-Jun; Mersmann, Clayton
3
2017
On two nonlinear biharmonic evolution equations: existence, uniqueness and stability. Zbl 1071.35042
Lai, Ming-Jun; Liu, Chun; Wenston, Paul
3
2004
The method of virtual components in the multivariate setting. Zbl 1202.42055
Lai, Ming-Jun; Petukhov, Alexander
3
2010
Scattered data interpolation with nonnegative preservation using bivariate splines and its application. Zbl 1375.65029
Lai, Ming-Jun; Meile, Christof
3
2015
A note to the remainder of a multivariate interpolation polynomial. Zbl 0599.41012
Lai, Mingjun; Wang, Xinghua
2
1984
The convergence of three \(L_{1}\) spline methods for scattered data interpolation and fitting. Zbl 1125.41006
Lai, Ming-Jun
2
2007
A class of compactly supported orthonormal B-spline wavelets. Zbl 1101.65121
Cho, Okkyung; Lai, Ming-Jun
2
2006
A bivariate spline method for second order elliptic equations in non-divergence form. Zbl 1398.65304
Lai, Ming-Jun; Wang, Chunmei
2
2018
Convergence of discrete and penalized least squares spherical splines. Zbl 1229.41004
Baramidze, Victoria; Lai, Ming-Jun
2
2011
Numerical simulations on two nonlinear biharmonic evolution equations. Zbl 1051.65098
Lai, Ming-Jun; Liu, Chun; Wenston, Paul
2
2004
The nonexistence of bivariate symmetric wavelets with short support and two vanishing moments. Zbl 1049.42023
Lai, Ming-Jun; Roach, David W.
2
2001
\(L_1\) spline methods for scattered data interpolation and approximation. Zbl 1063.41005
Lai, Ming-Jun; Wenston, Paul
2
2004
On multivariate vertex splines and applications. Zbl 0628.41006
Chui, Charles K.; Lai, Mingjun
2
1987
Bivariate spline spaces on FVS-triangulations. Zbl 1137.41313
Lai, Ming-Jun
1
1995
Some results on numerical divided difference formulas. Zbl 1119.65309
Wang, Xinghua; Wang, Heyu; Lai, Ming-Jun
1
2005
Convergence of local variational spline interpolation. Zbl 1138.65009
Kersey, Scott; Lai, Ming-Jun
1
2008
Tight wavelet frames over bounded domains. Zbl 1099.65151
Lai, Ming-Jun; Nam, Kyunglim
1
2006
Algorithms for \(G^1\) connection of multiple parametric bicubic NURBS surfaces. Zbl 0957.65007
Chui, Charles K.; Lai, Ming-Jun; Lian, Jian-ao
1
2000
Nonnegative data interpolation by spherical splines. Zbl 1466.65015
Baramidze, V.; Lai, M. J.
1
2018
A polygonal spline method for general second-order elliptic equations and its applications. Zbl 1385.65058
Lai, Ming-Jun; Lanterman, James
1
2017
Trivariate \(C^1\) cubic splines for numerical solution of biharmonic equations. Zbl 1055.65128
Lai, Ming-Jun; Wenston, Paul
1
2001
Compressive sensing for cut improvement and local clustering. Zbl 1508.68267
Lai, Ming-Jun; Mckenzie, Daniel
1
2020
Construction of \(C^1\) polygonal splines over quadrilateral partitions. Zbl 07483501
Lai, Ming-Jun; Lanterman, James
1
2022
On DC based methods for phase retrieval. Zbl 1481.94054
Huang, Meng; Lai, Ming-Jun; Varghese, Abraham; Xu, Zhiqiang
4
2021
Sparse solutions of underdetermined linear systems and their applications. Zbl 07403296
Lai, Ming-Jun; Wang, Yang
1
2021
Efficient estimation of partially linear models for data on complicated domains by bivariate penalized splines over triangulations. Zbl 1444.62054
Wang, Li; Wang, Guannan; Lai, Ming-Jun; Gao, Lei
7
2020
Compressive sensing for cut improvement and local clustering. Zbl 1508.68267
Lai, Ming-Jun; Mckenzie, Daniel
1
2020
A new \(H^2\) regularity condition of the solution to Dirichlet problem of the Poisson equation and its applications. Zbl 1430.35042
Gao, Fu Chang; Lai, Ming Jun
1
2020
Sharp sufficient conditions for stable recovery of block sparse signals by block orthogonal matching pursuit. Zbl 1422.94017
Wen, Jinming; Zhou, Zhengchun; Liu, Zilong; Lai, Ming-Jun; Tang, Xiaohu
9
2019
A bivariate spline method for second order elliptic equations in non-divergence form. Zbl 1398.65304
Lai, Ming-Jun; Wang, Chunmei
2
2018
Nonnegative data interpolation by spherical splines. Zbl 1466.65015
Baramidze, V.; Lai, M. J.
1
2018
Parallel multi-block ADMM with \(o(1/k)\) convergence. Zbl 1398.65121
Deng, Wei; Lai, Ming-Jun; Peng, Zhimin; Yin, Wotao
76
2017
An adaptive triangulation method for bivariate spline solutions of PDEs. Zbl 1385.65059
Lai, Ming-Jun; Mersmann, Clayton
3
2017
A polygonal spline method for general second-order elliptic equations and its applications. Zbl 1385.65058
Lai, Ming-Jun; Lanterman, James
1
2017
Polygonal spline spaces and the numerical solution of the Poisson equation. Zbl 1416.65474
Floater, Michael S.; Lai, Ming-Jun
21
2016
On recursive refinement of convex polygons. Zbl 1418.65024
Lai, Ming-Jun; Slavov, George
7
2016
Orthogonal rank-one matrix pursuit for low rank matrix completion. Zbl 1315.65044
Wang, Zheng; Lai, Ming-Jun; Lu, Zhaosong; Fan, Wei; Davulcu, Hasan; Ye, Jieping
10
2015
The probabilistic estimates on the largest and smallest \(q\)-singular values of random matrices. Zbl 1314.60028
Lai, Ming-Jun; Liu, Yang
3
2015
Bivariate spline solution of time dependent nonlinear PDE for a population density over irregular domains. Zbl 1364.92033
Gutierrez, Juan B.; Lai, Ming-Jun; Slavov, George
3
2015
Scattered data interpolation with nonnegative preservation using bivariate splines and its application. Zbl 1375.65029
Lai, Ming-Jun; Meile, Christof
3
2015
Improved iteratively reweighted least squares for unconstrained smoothed \(\ell_q\) minimization. Zbl 1268.49038
Lai, Ming-Jun; Xu, Yangyang; Yin, Wotao
131
2013
Augmented \(\ell_1\) and nuclear-norm models with a globally linearly convergent algorithm. Zbl 1279.68329
Lai, Ming-Jun; Yin, Wotao
29
2013
Bivariate penalized splines for regression. Zbl 06202712
Lai, Ming-Jun; Wang, Li
18
2013
Box spline wavelet frames for image edge analysis. Zbl 1278.62100
Guo, Weihong; Lai, Ming-Jun
6
2013
A \(C^r\) trivariate macro-element based on the Alfeld split of tetrahedra. Zbl 1300.41006
Lai, Ming-Jun; Matt, Michael A.
5
2013
Scattered data interpolation by bivariate splines with higher approximation order. Zbl 1255.65034
Zhou, Tianhe; Lai, Ming-Jun
4
2013
Piecewise linear approximation of the continuous Rudin-Osher-Fatemi model for image denoising. Zbl 1264.65096
Lai, Ming-Jun; Messi, Leopold Matamba
6
2012
Initial-boundary value problem for two-dimensional viscous Boussinesq equations. Zbl 1231.35171
Lai, Ming-Jun; Pan, Ronghua; Zhao, Kun
94
2011
An unconstrained \(\ell_q\) minimization with \(0<q\leq 1\) for sparse solution of underdetermined linear systems. Zbl 1220.65051
Lai, Ming-Jun; Wang, Jingyue
59
2011
The null space property for sparse recovery from multiple measurement vectors. Zbl 1228.65057
Lai, Ming-Jun; Liu, Yang
14
2011
Convergence of discrete and penalized least squares spherical splines. Zbl 1229.41004
Baramidze, Victoria; Lai, Ming-Jun
2
2011
Bivariate splines for spatial functional regression models. Zbl 1189.62068
Guillas, Serge; Lai, Ming-Jun
17
2010
Sparse recovery with pre-Gaussian random matrices. Zbl 1205.15007
Foucart, Simon; Lai, Ming-Jun
14
2010
On sparse solutions of underdetermined linear systems. Zbl 1194.65061
Lai, Ming-Jun
7
2010
The method of virtual components in the multivariate setting. Zbl 1202.42055
Lai, Ming-Jun; Petukhov, Alexander
3
2010
Sparsest solutions of underdetermined linear systems via \( \ell _q\)-minimization for \(0<q\leqslant 1\). Zbl 1171.90014
Foucart, Simon; Lai, Ming-Jun
170
2009
A domain decomposition method for computing bivariate spline fits of scattered data. Zbl 1193.41007
Lai, Ming-Jun; Schumaker, Larry L.
7
2009
The convergence of a central-difference discretization of Rudin-Osher-Fatemi model for image denoising. Zbl 1371.94209
Lai, Ming-Jun; Lucier, Bradley; Wang, Jingyue
5
2009
Energy minimization method for scattered data Hermite interpolation. Zbl 1141.65008
Zhou, Tianhe; Han, Danfu; Lai, Ming-Jun
8
2008
Multivariate splines for data fitting and approximation. Zbl 1146.41005
Lai, Ming-Jun
5
2008
Convergence of local variational spline interpolation. Zbl 1138.65009
Kersey, Scott; Lai, Ming-Jun
1
2008
Spline functions on triangulations. Zbl 1185.41001
Lai, Ming-Jun; Schumaker, Larry L.
280
2007
Bivariate splines of various degrees for numerical solution of partial differential equations. Zbl 1144.65075
Hu, Xian-Liang; Han, Dan-Fu; Lai, Ming-Jun
20
2007
Method of virtual components for constructing redundant filter banks and wavelet frames. Zbl 1143.42040
Lai, Ming-Jun; Petukhov, Alexander
6
2007
Trivariate \(C^{r}\) polynomial macroelements. Zbl 1117.41010
Lai, Ming-Jun; Schumaker, Larry L.
6
2007
The convergence of three \(L_{1}\) spline methods for scattered data interpolation and fitting. Zbl 1125.41006
Lai, Ming-Jun
2
2007
Construction of multivariate compactly supported tight wavelet frames. Zbl 1106.42028
Lai, Ming-Jun; Stöckler, Joachim
43
2006
The multivariate spline mehtod for scattered data fitting and numerical solution of partial differential equations. Zbl 1099.65018
Awanou, Gerard; Lai, Ming-Jun; Wenston, Paul
30
2006
Factorization of multivariate positive Laurent polynomials. Zbl 1099.12001
Geronimo, Jeffrey S.; Lai, Ming-Jun
21
2006
Spherical splines for data interpolation and fitting. Zbl 1116.65010
Baramidze, V.; Lai, M. J.; Shum, C. K.
13
2006
Construction of multivariate compactly supported orthonormal wavelets. Zbl 1101.65124
Lai, Ming-Jun
12
2006
Spherical spline solution to a PDE on the sphere. Zbl 1099.65104
Baramidze, Victoria; Lai, Ming-Jun
6
2006
Construction of multivariate compactly supported prewavelets in \(L_{2}\) space and pre-Riesz bases in Sobolev spaces. Zbl 1105.42025
Lai, Ming-Jun
5
2006
A class of compactly supported orthonormal B-spline wavelets. Zbl 1101.65121
Cho, Okkyung; Lai, Ming-Jun
2
2006
Tight wavelet frames over bounded domains. Zbl 1099.65151
Lai, Ming-Jun; Nam, Kyunglim
1
2006
Trivariate spline approximations of 3D Navier-Stokes equations. Zbl 1085.76053
Awanou, Gerard; Lai, Ming-Jun
13
2005
Error bounds for minimal energy interpolatory spherical splines. Zbl 1078.41009
Baramidze, Victoria; Lai, Ming-Jun
11
2005
On convergence rate of the augmented Lagrangian algorithm for nonsymmetric saddle point problems. Zbl 1075.65040
Awanou, G. M.; Lai, M. J.
9
2005
Some results on numerical divided difference formulas. Zbl 1119.65309
Wang, Xinghua; Wang, Heyu; Lai, Ming-Jun
1
2005
Bivariate splines for fluid flows. Zbl 1086.76058
Lai, Ming-Jun; Wenston, Paul
16
2004
A new kind of trivariate \(C^1\) macro-element. Zbl 1068.41016
Lai, Ming-Jun; LeMéhauté, A.
13
2004
On the divided differences of the remainder in polynomial interpolation. Zbl 1062.41025
Wang, Xinghua; Lai, Ming-Jun; Yang, Shijun
8
2004
On two nonlinear biharmonic evolution equations: existence, uniqueness and stability. Zbl 1071.35042
Lai, Ming-Jun; Liu, Chun; Wenston, Paul
3
2004
Numerical simulations on two nonlinear biharmonic evolution equations. Zbl 1051.65098
Lai, Ming-Jun; Liu, Chun; Wenston, Paul
2
2004
\(L_1\) spline methods for scattered data interpolation and approximation. Zbl 1063.41005
Lai, Ming-Jun; Wenston, Paul
2
2004
Macro-elements and stable local bases for splines on Powell-Sabin triangulations. Zbl 1009.41007
Lai, Ming-Jun; Schumaker, Larry L.
38
2003
Construction of trivariate compactly supported biorthogonal box spline wavelets. Zbl 1019.42024
He, Wenjie; Lai, Ming-Jun
5
2003
Bivariate spline method for numerical solution of time evolution Navier-Stokes equations over polygons in stream function formulation. Zbl 1075.76040
Lai, Ming-Jun; Liu, Chun; Wenston, Paul
4
2003
Error bounds for minimal energy bivariate polynomial splines. Zbl 1012.41011
von Golitschek, Manfred; Lai, Ming-Jun; Schumaker, Larry L.
12
2002
A unified convergence theory for Newton-type methods for zeros of nonlinear operators in Banach spaces. Zbl 0998.65057
Wang, Xinghua; Li, Chong; Lai, Ming-Jun
10
2002
Parameterizations of univariate orthogonal wavelets with short support. Zbl 1024.42022
Lai, Ming-Jun; Roach, David W.
6
2002
Quadrilateral macroelements. Zbl 1001.41007
Lai, Ming-Jun; Schumaker, Larry L.
5
2002
Methods for constructing nonseparable compactly supported orthonormal wavelets. Zbl 1027.42030
Lai, Ming-Jun
4
2002
C\(^{1}\) quintic spline interpolation over tetrahedral partitions. Zbl 1024.41002
Awanou, Gerard; Lai, Ming-Jun
3
2002
Macro-elements and stable local bases for splines on Clough-Tocher triangulations. Zbl 0989.65013
Lai, Ming-Jun; Schumaker, Larry L.
24
2001
The nonexistence of bivariate symmetric wavelets with short support and two vanishing moments. Zbl 1049.42023
Lai, Ming-Jun; Roach, David W.
2
2001
Trivariate \(C^1\) cubic splines for numerical solution of biharmonic equations. Zbl 1055.65128
Lai, Ming-Jun; Wenston, Paul
1
2001
Filling polygonal holes using \(C^{1}\) cubic triangular spline patches. Zbl 0938.68122
Chui, C. K.; Lai, M.-J.
12
2000
Convex preserving scattered data interpolation using bivariate \(C^1\) cubic splines. Zbl 0966.65016
Lai, Ming-Jun
10
2000
Bivariate spline method for numerical solution of steady-state Navier-Stokes equations over polygons in stream function formulation. Zbl 0968.76041
Lai, Ming-Jun; Wenston, Paul
10
2000
Algorithms for \(G^1\) connection of multiple parametric bicubic NURBS surfaces. Zbl 0957.65007
Chui, Charles K.; Lai, Ming-Jun; Lian, Jian-ao
1
2000
Construction of bivariate compactly supported biorthogonal box spline wavelets with arbitrarily high regularities. Zbl 0960.42017
He, Wenjie; Lai, Ming-Jun
13
1999
On the approximation power of bivariate splines. Zbl 0924.41010
Lai, Ming-Jun; Schumaker, Larry L.
34
1998
On the approximation power of splines on triangulated quadrangulations. Zbl 0921.41006
Lai, Ming-Jun; Schumaker, Larry L.
15
1998
Scattered data interpolation by \(C^2\) quintic splines using energy minimization. Zbl 0961.41006
Farmer, Kathleen W.; Lai, Ming-Jun
1
1998
Scattered data interpolation using \(C^ 2\) supersplines of degree six. Zbl 0872.41004
Lai, Ming-Jun; Schumaker, Larry L.
12
1997
Geometric interpretation of smoothness conditions of triangular polynomial patches. Zbl 0906.68155
Lai, Ming-Jun
6
1997
Scattered data interpolation and approximation using bivariate \(C^{1}\) piecewise cubic polynomials. Zbl 0873.65011
Lai, Ming-Jun
16
1996
On \(C^ 2\) quintic spline functions over triangulations of Powell-Sabin’s type. Zbl 0866.65007
Lai, Ming-Jun
14
1996
Bivariate spline spaces on FVS-triangulations. Zbl 1137.41313
Lai, Ming-Jun
1
1995
Approximation order for bivariate \(C^ 1\)-cubics on a four-directional mesh is full. Zbl 0792.41023
Lai, Ming-Jun
6
1994
On the computation of Battle-Lemarié’s wavelets. Zbl 0807.42026
Lai, Ming-Jun
4
1994
Some sufficient conditions for convexity of multivariate Bernstein- Bézieer polynomials and box spline surfaces. Zbl 0803.41012
Lai, Ming-Jun
6
1993
Fortran subroutines for B-nets of box splines on three- and four- directional meshes. Zbl 0746.65013
Lai, Ming-Jun
13
1992
Asymptotic formulae of multivariate Bernstein approximation. Zbl 0766.41009
Lai, Ming-Jun
8
1992
Algorithms for generating B-nets and graphically displaying spline surfaces on three- and four-directional meshes. Zbl 0744.65009
Chui, Charles K.; Lai, Ming-Jun
12
1991
A characterization theorem of multivariate splines in blossoming form. Zbl 0745.41010
Lai, Ming-Jun
7
1991
On dual functionals of polynomials in B-form. Zbl 0738.41014
Lai, Ming-Jun
5
1991
Multivariate vertex splines and finite elements. Zbl 0702.41017
Chui, Charles K.; Lai, Ming-Jun
28
1990
On bivariate super vertex splines. Zbl 0726.41012
Chui, Charles K.; Lai, Mingjun
16
1990
Construction of real-time spline quasi-interpolation schemes. Zbl 0692.41014
Chen, G.; Chui, C. K.; Lai, M. J.
20
1988
A multivariate analog of Marsden’s identity and a quasi-interpolation scheme. Zbl 0623.41009
Chui, C. K.; Lai, M. J.
17
1987
...and 5 more Documents
all top 5

Cited by 1,617 Authors

50 Lai, Mingjun
28 Speleers, Hendrik
24 Schumaker, Larry L.
19 Sorokina, Tatyana
17 Sbibih, Driss
16 Wu, Jiahong
15 Chui, Charles Kam-tai
15 Grošelj, Jan
14 Li, Song
13 Barrera, Domingo
13 Kapl, Mario
12 Tijini, Ahmed
11 Krajnc, Marjeta
11 Manni, Carla
11 Peng, Jigen
11 Remogna, Sara
11 Vitrih, Vito
11 Wu, Chunlin
10 Davydov, Oleg V.
10 Foucart, Simon
10 Nürnberger, Günther
10 San Antolín, Angel
10 Xiu, Naihua
10 Xu, Xiaojing
10 Yin, Wotao
9 Chen, Wengu
9 Dagnino, Catterina
9 Lou, Yifei
9 Lyche, Tom
9 Sablonnière, Paul
8 Ibáñez, María J.
8 Pan, Shaohua
8 Yuan, Xiaoming
8 Zeilfelder, Frank
8 Zhang, Hui
8 Zhang, Shuzhong
7 Alfeld, Peter
7 Bi, Shujun
7 Chen, Xiaojun
7 Fan, Jishan
7 Han, Danfu
7 Kong, Lingchen
7 Lamnii, Abdellah
7 Lamnii, Mohamed
7 Li, Min
7 Neilan, Michael
7 Peters, Jorg
7 Sangalli, Laura Maria
7 Serghini, Abdelhafid
7 Wang, Jianjun
7 Wang, Li
7 Xu, Yangyang
7 Zalik, Richard A.
6 Cai, Yun
6 Charina, Maria
6 Cheng, Lizhi
6 Dell’Accio, Francesco
6 Ge, HuanMin
6 Han, Bin
6 Jaklič, Gašper
6 Jiang, Qingtang
6 Lamberti, Paola
6 Liu, Yang
6 Mraoui, Hamid
6 Nouisser, Otheman
6 Pasadas, Miguel
6 Qian, Xiaoping
6 Takacs, Thomas
6 Wang, Wendong
6 Xin, Jack X.
6 Zhang, Shangyou
6 Zhou, Shenglong
5 Awanou, Gerard Michel
5 Bian, Dongfen
5 de Visser, Cornelis C.
5 Dierckx, Paul
5 Floater, Michael S.
5 Fortes, Miguel Angel
5 Gao, Yi
5 Guermond, Jean-Luc
5 Guzmán, Johnny
5 Han, Deren
5 Hu, Xianliang
5 Huang, Xuehai
5 Huang, Yongdong
5 Huang, Zheng-Hai
5 Kanduč, Tadej
5 Le Méhauté, Alain J. Y.
5 Lu, Zhaosong
5 Ma, Shiqian
5 Rauhut, Holger
5 Stöckler, Joachim
5 Su, Xing
5 Toshniwal, Deepesh
5 Wang, Renhong
5 Yang, Shouzhi
5 Yang, Xiaoyuan
5 Ye, Zhuan
5 Yue, Shigang
5 Zhao, Kun
...and 1,517 more Authors
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Cited in 240 Serials

95 Journal of Computational and Applied Mathematics
64 Computer Aided Geometric Design
50 Applied and Computational Harmonic Analysis
29 Journal of Scientific Computing
28 Computer Methods in Applied Mechanics and Engineering
28 Computational Optimization and Applications
28 Advances in Computational Mathematics
27 Computers & Mathematics with Applications
24 Journal of Approximation Theory
23 Mathematics of Computation
23 SIAM Journal on Optimization
21 Applied Mathematics and Computation
19 Numerische Mathematik
19 Applied Numerical Mathematics
16 International Journal of Wavelets, Multiresolution and Information Processing
14 Numerical Algorithms
13 Journal of Differential Equations
13 Constructive Approximation
13 SIAM Journal on Imaging Sciences
12 Mathematics and Computers in Simulation
12 Mathematical Programming. Series A. Series B
11 Inverse Problems
11 Journal of Global Optimization
11 SIAM Journal on Scientific Computing
11 Mathematical Problems in Engineering
11 Journal of the Operations Research Society of China
10 Journal of Mathematical Analysis and Applications
10 BIT
10 Linear Algebra and its Applications
10 Journal of Inequalities and Applications
10 Analysis and Applications (Singapore)
10 Optimization Letters
9 Inverse Problems and Imaging
8 Journal of Computational Physics
8 Journal of Optimization Theory and Applications
8 SIAM Journal on Numerical Analysis
8 Applied Mathematics. Series B (English Edition)
8 Science China. Mathematics
7 Automatica
7 The Journal of Fourier Analysis and Applications
7 Acta Mathematica Sinica. English Series
6 Applicable Analysis
6 Mathematics of Operations Research
6 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
6 International Journal of Computer Mathematics
6 Journal of Mathematical Imaging and Vision
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Information Sciences
5 Asia-Pacific Journal of Operational Research
5 Science in China. Series A
5 Neural Networks
5 Discrete Dynamics in Nature and Society
5 Journal of Mathematical Fluid Mechanics
5 Journal of Applied Mathematics and Computing
5 Journal of Industrial and Management Optimization
5 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
5 SMAI Journal of Computational Mathematics
4 Journal of Mathematical Physics
4 Calcolo
4 Journal of Multivariate Analysis
4 SIAM Journal on Control and Optimization
4 Circuits, Systems, and Signal Processing
4 Journal of Complexity
4 Applied Mathematics Letters
4 European Journal of Operational Research
4 Statistica Sinica
4 Discrete and Continuous Dynamical Systems
4 Journal of Nonparametric Statistics
4 Foundations of Computational Mathematics
4 Journal of Machine Learning Research (JMLR)
3 Proceedings of the American Mathematical Society
3 Physica D
3 Applied Mathematical Modelling
3 Journal of Nonlinear Science
3 Computational and Applied Mathematics
3 Optimization Methods & Software
3 Computational Methods in Applied Mathematics
3 Advances in Difference Equations
3 Boundary Value Problems
3 Annali dell’Università di Ferrara. Sezione VII. Scienze Matematiche
3 Communications in Computational Physics
3 Electronic Journal of Statistics
3 Numerical Algebra, Control and Optimization
3 Information and Inference
3 Journal of Function Spaces
3 International Journal of Applied and Computational Mathematics
2 Archive for Rational Mechanics and Analysis
2 Computers and Fluids
2 Mathematical Biosciences
2 Mathematical Methods in the Applied Sciences
2 The Annals of Statistics
2 Journal of the American Statistical Association
2 Journal of Functional Analysis
2 Numerical Functional Analysis and Optimization
2 Pacific Journal of Mathematics
2 Operations Research Letters
2 Chinese Annals of Mathematics. Series B
2 Acta Mathematicae Applicatae Sinica. English Series
2 Optimization
2 Multidimensional Systems and Signal Processing
...and 140 more Serials
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Cited in 48 Fields

664 Numerical analysis (65-XX)
296 Operations research, mathematical programming (90-XX)
262 Approximations and expansions (41-XX)
181 Information and communication theory, circuits (94-XX)
164 Partial differential equations (35-XX)
117 Harmonic analysis on Euclidean spaces (42-XX)
115 Fluid mechanics (76-XX)
83 Statistics (62-XX)
69 Calculus of variations and optimal control; optimization (49-XX)
68 Computer science (68-XX)
64 Linear and multilinear algebra; matrix theory (15-XX)
28 Probability theory and stochastic processes (60-XX)
22 Operator theory (47-XX)
21 Mechanics of deformable solids (74-XX)
18 Biology and other natural sciences (92-XX)
17 Geophysics (86-XX)
13 Functional analysis (46-XX)
12 Systems theory; control (93-XX)
11 Real functions (26-XX)
11 Ordinary differential equations (34-XX)
10 Global analysis, analysis on manifolds (58-XX)
10 Optics, electromagnetic theory (78-XX)
8 Convex and discrete geometry (52-XX)
8 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
7 Combinatorics (05-XX)
7 Algebraic geometry (14-XX)
7 Special functions (33-XX)
5 Number theory (11-XX)
5 Commutative algebra (13-XX)
4 Field theory and polynomials (12-XX)
4 Integral equations (45-XX)
4 Classical thermodynamics, heat transfer (80-XX)
3 Functions of a complex variable (30-XX)
3 Dynamical systems and ergodic theory (37-XX)
3 Differential geometry (53-XX)
2 General and overarching topics; collections (00-XX)
2 Order, lattices, ordered algebraic structures (06-XX)
2 Potential theory (31-XX)
2 Several complex variables and analytic spaces (32-XX)
2 Abstract harmonic analysis (43-XX)
2 Astronomy and astrophysics (85-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Integral transforms, operational calculus (44-XX)
1 Geometry (51-XX)
1 Algebraic topology (55-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Relativity and gravitational theory (83-XX)

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