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A ONE-DIMENSIONAL COARSE PRECONDITIONER FOR THREE-DIMENSIONAL UNSTEADY INCOMPRESSIBLE NAVIER-STOKES FLOWS IN PATIENT-SPECIFIC ARTERIES Journal article
Liu, Yingzhi, Qi, Fenfen, Cai, Xiao Chuan. A ONE-DIMENSIONAL COARSE PRECONDITIONER FOR THREE-DIMENSIONAL UNSTEADY INCOMPRESSIBLE NAVIER-STOKES FLOWS IN PATIENT-SPECIFIC ARTERIES[J]. SIAM Journal on Scientific Computing, 2024, 46(2), S1-S23.
Authors:  Liu, Yingzhi;  Qi, Fenfen;  Cai, Xiao Chuan
Favorite | TC[WOS]:0 TC[Scopus]:1  IF:3.0/3.2 | Submit date：2024/06/05
Blood Flows In Artery  Fully Implicit Finite Element Method  Parameterized One-dimensional Coarse Problem  Two-level Schwarz Method  Unsteady Incompressible Navier-stokes Problem With Resistance Boundary Conditions  
A-stable high-order block implicit methods for parabolic equations Journal article
Li, Shishun, Wang, Jing Yuan, Cai, Xiao Chuan. A-stable high-order block implicit methods for parabolic equations[J]. SIAM Journal on Numerical Analysis, 2023, 61(4), 1858-1884.
Authors:  Li, Shishun;  Wang, Jing Yuan;  Cai, Xiao Chuan
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:2.8/3.5 | Submit date：2024/02/22
A-stability  Block Implicit Method  Domain Decomposition Preconditioner  Finite Element  Parabolic Problems  
PINL: PRECONDITIONED INEXACT NEWTON WITH LEARNING CAPABILITY FOR NONLINEAR SYSTEM OF EQUATIONS Journal article
Luo,Li, Cai,Xiao Chuan. PINL: PRECONDITIONED INEXACT NEWTON WITH LEARNING CAPABILITY FOR NONLINEAR SYSTEM OF EQUATIONS[J]. SIAM Journal on Scientific Computing, 2023, 45(2), A849-A871.
Authors:  Luo,Li;  Cai,Xiao Chuan
Favorite | TC[WOS]:1 TC[Scopus]:2  IF:3.0/3.2 | Submit date：2023/08/03
Incompressible Navier-stokes Equations  Inexact Newton  Learning-based Nonlinear Preconditioning  Nonlinear System Of Algebraic Equations  Principal Component Analysis  
DETERMINISTIC NEAR-OPTIMAL APPROXIMATION ALGORITHMS FOR DYNAMIC SET COVER Journal article
Bhattacharya, Sayan, Henzinger, Monika, Nanongkai, Danupon, Wu, Xiaowei. DETERMINISTIC NEAR-OPTIMAL APPROXIMATION ALGORITHMS FOR DYNAMIC SET COVER[J]. SIAM Journal on Computing, 2023, 52(5), 1132-1192.
Authors:  Bhattacharya, Sayan;  Henzinger, Monika;  Nanongkai, Danupon;  Wu, Xiaowei
Favorite | TC[WOS]:0 TC[Scopus]:0  IF:1.2/1.6 | Submit date：2024/02/22
Approximation Algorithms  Dynamic Data Structure  Set Cover  
NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM Journal article
Liu, Yingzhi, Boubendir, Yassine, He, Xiaoming, He, Yinnian. NEW OPTIMIZED ROBIN−ROBIN DOMAIN DECOMPOSITION METHODS USING KRYLOV SOLVERS FOR THE STOKES−DARCY SYSTEM[J]. SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2022, 44(4), B1068--B1095.
Authors:  Liu, Yingzhi;  Boubendir, Yassine;  He, Xiaoming;  He, Yinnian
Favorite | TC[WOS]:4 TC[Scopus]:4  IF:3.0/3.2 | Submit date：2023/01/30
Domain Decomposition Methods  Krylov Solvers  Modal Analysis  Optimized Schwarz Methods  Robin Interface Conditions  Stokes−darcy System  
Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous galerkin method Journal article
Luo, Li, Cai, Xiao Chuan, Keyes, David E.. Nonlinear preconditioning strategies for two-phase flows in porous media discretized by a fully implicit discontinuous galerkin method[J]. SIAM Journal on Scientific Computing, 2021, 43(5), S317-S344.
Authors:  Luo, Li;  Cai, Xiao Chuan;  Keyes, David E.
Favorite | TC[WOS]:12 TC[Scopus]:15  IF:3.0/3.2 | Submit date：2022/03/18
Discontinuous Galerkin  Fully Implicit  Inexact Newton  Nonlinear Preconditioning  Parallel Computing  Two-phase Flow In Porous Media  
CRANK–NICOLSON ALTERNATIVE DIRECTION IMPLICIT METHOD FOR SPACE-FRACTIONAL DIFFUSION EQUATIONS WITH NONSEPARABLE COEFFICIENTS Journal article
XUE-LEI LIN, MICHAEL K. NG, HAI-WEI SUN. CRANK–NICOLSON ALTERNATIVE DIRECTION IMPLICIT METHOD FOR SPACE-FRACTIONAL DIFFUSION EQUATIONS WITH NONSEPARABLE COEFFICIENTS[J]. SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 57(3), 997-1019.
Authors:  XUE-LEI LIN;  MICHAEL K. NG;  HAI-WEI SUN
Favorite | TC[WOS]:17 TC[Scopus]:17  IF:2.8/3.5 | Submit date：2019/06/10
Nonseparable Variable Coefficients  Crank–nicolson Adi Methods  Space-fractional Diffusion Equations  Unconditional Stability Analysis  
Measure-Theoretic Invariance Entropy for Control Systems Journal article
Tao Wang, Yu Huang, Hai-Wei Sun. Measure-Theoretic Invariance Entropy for Control Systems[J]. SIAM Journal on Control and Optimization, 2019, 57(1), 310-333.
Authors:  Tao Wang;  Yu Huang;  Hai-Wei Sun
Favorite | TC[WOS]:16 TC[Scopus]:19  IF:2.2/2.4 | Submit date：2019/08/14
Invariance Entropy  Variational Principle  Packing Invariance Entropy  Measure-theoretic Invariance Entropy  Invariant Partition  
A geometric nonlinear conjugate gradient method for stochastic inverse eigenvalue problems Journal article
Zhao Z., Jin X.-Q., Bai Z.-J.. A geometric nonlinear conjugate gradient method for stochastic inverse eigenvalue problems[J]. SIAM Journal on Numerical Analysis, 2016, 54(4), 2015-2035.
Authors:  Zhao Z.;  Jin X.-Q.;  Bai Z.-J.
Favorite | TC[WOS]:23 TC[Scopus]:25 | Submit date：2019/02/11
Geometric Nonlinear Conjugate Gradient Method  Inverse Eigenvalue Problem  Isospectral Flow Method  Oblique Manifold  Stochastic Matrix  
A riemannian Newton algorithm for nonlinear eigenvalue problems Journal article
Zhao Z., Bai Z.-J., Jin X.-Q.. A riemannian Newton algorithm for nonlinear eigenvalue problems[J]. SIAM Journal on Matrix Analysis and Applications, 2015, 36(2), 752-774.
Authors:  Zhao Z.;  Bai Z.-J.;  Jin X.-Q.
Favorite | TC[WOS]:40 TC[Scopus]:43 | Submit date：2019/02/11
Grassmann Manifold  Nonlinear Eigenvalue Problem  Riemannian Newton Algorithm  Stiefel Manifold