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Roger C. E. Tan
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2020 – today
- 2025
- [i1]Zhijie Du, Huoyuan Duan, Roger C. E. Tan, Yuanhong Wei:
An interior penalty DG method with correct and minimal averages, jumps and penalties for the miscible displacement problem of nonnegative characteristic form, and SUPG-type error estimates under low regularity, dominating Darcy velocity. CoRR abs/2503.16196 (2025) - 2024
- [j43]Huoyuan Duan, Roger C. E. Tan, Duowei Zhu:
A pressure-residual augmented GLS stabilized method for a type of Stokes equations with nonstandard boundary conditions. Adv. Comput. Math. 50(5): 105 (2024) - 2022
- [j42]Huoyuan Duan, Junhua Ma, Roger C. E. Tan, Can Wang:
A coercive mixed formulation for the generalized Maxwell problem. J. Comput. Appl. Math. 402: 113787 (2022)
2010 – 2019
- 2019
- [j41]Huo-Yuan Duan, Wei Liu
, Junhua Ma, Roger C. E. Tan, Shangyou Zhang
:
A family of optimal Lagrange elements for Maxwell's equations. J. Comput. Appl. Math. 358: 241-265 (2019) - 2018
- [j40]Jiang Qian, Alan L. Andrew
, Delin Chu, Roger C. E. Tan:
Methods for solving underdetermined systems. Numer. Linear Algebra Appl. 25(1) (2018) - [j39]Huo-Yuan Duan, Roger C. E. Tan, Suh-Yuh Yang, Cheng-Shu You:
A Mixed H1-Conforming Finite Element Method for Solving Maxwell's Equations with Non-H1 Solution. SIAM J. Sci. Comput. 40(1) (2018) - 2017
- [j38]Jiang Qian, Yun-Feng Cai, Delin Chu, Roger C. E. Tan:
Eigenvalue Embedding of Undamped Vibroacoustic Systems with No-spillover. SIAM J. Matrix Anal. Appl. 38(4): 1190-1209 (2017) - 2016
- [j37]Huo-Yuan Duan, Fengjuan Qiu, Roger C. E. Tan, Weiying Zheng:
An Adaptive FEM for a Maxwell Interface Problem. J. Sci. Comput. 67(2): 669-704 (2016) - [j36]Jiang Qian, Delin Chu, Roger C. E. Tan:
A Systematic Analysis on Analyticity of Semisimple Eigenvalues of Matrix-Valued Functions. SIAM J. Matrix Anal. Appl. 37(4): 1581-1599 (2016) - [j35]Huo-Yuan Duan, Ping Lin, Roger C. E. Tan:
A Finite Element Method for a Curlcurl-Graddiv Eigenvalue Interface Problem. SIAM J. Numer. Anal. 54(2): 1193-1228 (2016) - [j34]Xiaowei Zhang, Li Cheng, Delin Chu, Li-Zhi Liao, Michael K. Ng, Roger C. E. Tan:
Incremental Regularized Least Squares for Dimensionality Reduction of Large-Scale Data. SIAM J. Sci. Comput. 38(3) (2016) - [j33]Xiaowei Zhang, Delin Chu, Roger C. E. Tan:
Sparse Uncorrelated Linear Discriminant Analysis for Undersampled Problems. IEEE Trans. Neural Networks Learn. Syst. 27(7): 1469-1485 (2016) - 2015
- [j32]Jiang Qian, Delin Chu, Roger C. E. Tan:
Analyticity of Semisimple Eigenvalues and Corresponding Eigenvectors of Matrix-Valued Functions. SIAM J. Matrix Anal. Appl. 36(4): 1542-1566 (2015) - 2014
- [j31]Huo-Yuan Duan, Roger C. E. Tan, Suh-Yuh Yang, Cheng-Shu You:
Computation of Maxwell singular solution by nodal-continuous elements. J. Comput. Phys. 268: 63-83 (2014) - 2013
- [j30]Jiang Qian, Roger C. E. Tan:
On some inverse eigenvalue problems for Hermitian and generalized Hamiltonian/skew-Hamiltonian matrices. J. Comput. Appl. Math. 250: 28-38 (2013) - [j29]Huo-Yuan Duan, Ping Lin, Roger C. E. Tan:
Analysis of a continuous finite element method for H(curl, div)-elliptic interface problem. Numerische Mathematik 123(4): 671-707 (2013) - [j28]Jiang Qian, Alan L. Andrew
, Delin Chu, Roger C. E. Tan:
Computing Derivatives of Repeated Eigenvalues and Corresponding Eigenvectors of Quadratic Eigenvalue Problems. SIAM J. Matrix Anal. Appl. 34(3): 1089-1111 (2013) - [j27]Huo-Yuan Duan, Ping Lin, Roger C. E. Tan:
Error Estimates for a Vectorial Second-Order Elliptic Eigenproblem by the Local L2 Projected C0 Finite Element Method. SIAM J. Numer. Anal. 51(3): 1678-1714 (2013) - [c1]Huo-Yuan Duan, Ping Lin, Roger C. E. Tan:
Solving a Maxwell Interface Problem by a Local L 2 Projected C 0Finite Element Method. ENUMATH 2013: 795-802 - 2012
- [j26]Huo-Yuan Duan, Ping Lin, Roger C. E. Tan:
C0 elements for generalized indefinite Maxwell equations. Numerische Mathematik 122(1): 61-99 (2012) - [j25]Huo-Yuan Duan, Sha Li, Roger C. E. Tan, Weiying Zheng:
A Delta-Regularization Finite Element Method for a Double Curl Problem with Divergence-Free Constraint. SIAM J. Numer. Anal. 50(6): 3208-3230 (2012) - 2011
- [j24]Huo-Yuan Duan, Roger C. E. Tan:
On the Poincaré-Friedrichs inequality for piecewise H1 functions in anisotropic discontinuous Galerkin finite element methods. Math. Comput. 80(273): 119-140 (2011) - [j23]Delin Chu, Lijing Lin
, Roger C. E. Tan, Yimin Wei
:
Condition numbers and perturbation analysis for the Tikhonov regularization of discrete ill-posed problems. Numer. Linear Algebra Appl. 18(1): 87-103 (2011)
2000 – 2009
- 2009
- [j22]Huo-Yuan Duan, Feng Jia
, Ping Lin, Roger C. E. Tan:
The Local L2 Projected C0 Finite Element Method for Maxwell Problem. SIAM J. Numer. Anal. 47(2): 1274-1303 (2009) - 2008
- [j21]Delin Chu, Roger C. E. Tan:
The extended J-spectral factorization for descriptor systems. Autom. 44(3): 585-597 (2008) - [j20]Delin Chu, Roger C. E. Tan:
Algebraic Characterizations for Positive Realness of Descriptor Systems. SIAM J. Matrix Anal. Appl. 30(1): 197-222 (2008) - [j19]Delin Chu, Michel Malabre, Roger C. E. Tan:
State Feedback Decoupling Problem with Stability for (A, B, C, D) Quadruples. SIAM J. Matrix Anal. Appl. 30(4): 1735-1760 (2008) - 2007
- [j18]Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang:
A generalized BPX multigrid framework covering nonnested V-cycle methods. Math. Comput. 76(257): 137-152 (2007) - [j17]Huo-Yuan Duan, Shao-Qin Gao, Roger C. E. Tan, Shangyou Zhang:
Errata to "A generalized BPX multigrid framework covering nonnested V-cycle methods". Math. Comput. 76(260): 2251 (2007) - [j16]Qihong Chen, Delin Chu, Roger C. E. Tan:
Bilateral Obstacle Control Problem of Parabolic Variational Inequalities. SIAM J. Control. Optim. 46(4): 1518-1537 (2007) - [j15]Huo-Yuan Duan, Ping Lin, P. Saikrishnan, Roger C. E. Tan:
A Least-Squares Finite Element Method for the Magnetostatic Problem in A Multiply Connected Lipschitz Domain. SIAM J. Numer. Anal. 45(6): 2537-2563 (2007) - [j14]Zheng-Jian Bai, Delin Chu, Roger C. E. Tan:
Computing the Nearest Doubly Stochastic Matrix with A Prescribed Entry. SIAM J. Sci. Comput. 29(2): 635-655 (2007) - 2006
- [j13]Kewei Liang, Ping Lin, Ming Tze Ong, Roger C. E. Tan:
A splitting moving mesh method for reaction-diffusion equations of quenching type. J. Comput. Phys. 215(2): 757-777 (2006) - [j12]Delin Chu, Wen-Wei Lin, Roger C. E. Tan:
A Numerical Method for a Generalized Algebraic Riccati Equation. SIAM J. Control. Optim. 45(4): 1222-1250 (2006) - [j11]Huo-Yuan Duan, Ping Lin, P. Saikrishnan, Roger C. E. Tan:
L2-Projected Least-Squares Finite Element Methods for the Stokes Equations. SIAM J. Numer. Anal. 44(2): 732-752 (2006) - 2005
- [j10]Qihong Chen, Delin Chu, Roger C. E. Tan:
Optimal Control of Obstacle for Quasi-linear Elliptic Variational Bilateral Problems. SIAM J. Control. Optim. 44(3): 1067-1080 (2005) - 2004
- [j9]Fanwen Meng, Roger C. E. Tan, Gongyun Zhao:
A superlinearly convergent algorithm for large scale multi-stage stochastic nonlinear programming. Int. J. Comput. Eng. Sci. 5(2): 327-344 (2004) - [j8]Hong Cheng, Ping Lin, Qin Sheng, Roger C. E. Tan:
Solving Degenerate Reaction-Diffusion Equations via Variable Step Peaceman-Rachford Splitting. SIAM J. Sci. Comput. 25(4): 1273-1292 (2004) - 2003
- [j7]Delin Chu, Xinmin Liu, Roger C. E. Tan:
Correction to on the numerical computation in systems and control. IEEE Trans. Autom. Control. 48(1): 174-176 (2003) - 2002
- [j6]Delin Chu, Roger C. E. Tan:
Numerically Reliable Computing for the Row by Row Decoupling Problem with Stability. SIAM J. Matrix Anal. Appl. 23(4): 1143-1170 (2002) - [j5]Delin Chu, Roger C. E. Tan:
Solvability Conditions and Parameterization of All Solutions for the Triangular Decoupling Problem. SIAM J. Matrix Anal. Appl. 23(4): 1171-1182 (2002) - [j4]Delin Chu, Xinmin Liu, Roger C. E. Tan:
On the numerical computation of a structural decomposition in systems and control. IEEE Trans. Autom. Control. 47(11): 1786-1799 (2002) - 2000
- [j3]Alan L. Andrew, Roger C. E. Tan:
Iterative computation of derivatives of repeated eigenvalues and the corresponding eigenvectors. Numer. Linear Algebra Appl. 7(4): 151-167 (2000)
1990 – 1999
- 1998
- [j2]Alan L. Andrew
, Roger C. E. Tan:
Computation of Derivatives of Repeated Eigenvalues and the Corresponding Eigenvectors of Symmetric Matrix Pencils. SIAM J. Matrix Anal. Appl. 20(1): 78-100 (1998) - 1990
- [j1]Alan L. Andrew, Frank R. de Hoog, Roger C. E. Tan:
Direct computation of derivatives of eigenvalues and eigenvectors. Int. J. Comput. Math. 36(3-4): 251-255 (1990)
Coauthor Index
aka: Huo-Yuan Duan

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