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ANALYSIS OF POLLUTION-FREE APPROACHES FOR MULTI-DIMENSIONAL HELMHOLTZ EQUATIONS 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 3, 页码: 412-435
Authors:  Wang, Kun;  Wong, Yau Shu;  Huang, Jizu
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Helmholtz equation  error estimate  finite difference method  polar and spherical coordinates  pollution-free scheme  
Finite difference method for time-space linear and nonlinear fractional diffusion equations 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 1, 页码: 202-217
Authors:  Arshad, Sadia;  Bu, Weiping;  Huang, Jianfei;  Tang, Yifa;  Zhao, Yue
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Fractional diffusion equation  finite difference method  stability and convergence analysis  trapezoidal formula  Riesz derivative  Caputo derivative  
Analysis on the stability of numerical schemes for a class of stochastic partial differential systems 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2018, 卷号: 95, 期号: 2, 页码: 316-328
Authors:  Cong, Xin-rong;  Li, Long-suo
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Stochastic partial differential equations  compact finite difference method  random noise  
Simultaneous identification of diffusion coefficient, spacewise dependent source and initial value for one-dimensional heat equation 期刊论文
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 卷号: 40, 期号: 10, 页码: 3552-3565
Authors:  Zhao, Zhi-Xue;  Banda, Mapundi K.;  Guo, Bao-Zhu
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Inverse Problem  Matrix Pencil Method  Finite Difference Method  Truncated Singular Value Decomposition  Generalized Cross-validation  
Robust a Posteriori Error Estimates for Conforming Discretizations of Diffusion Problems with Discontinuous Coefficients on Anisotropic Meshes 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2015, 卷号: 64, 期号: 2, 页码: 368-400
Authors:  Zhao, Jikun;  Chen, Shaochun;  Zhang, Bei;  Mao, Shipeng
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A posteriori error estimates  Anisotropic meshes  Finite volume method  Finite difference method  Finite element method  Discontinuous coefficients  
Stability and superconvergence analysis of the FDTD scheme for the 2D Maxwell equations in a lossy medium 期刊论文
SCIENCE CHINA-MATHEMATICS, 2011, 卷号: 54, 期号: 12, 页码: 2693-2712
Authors:  Gao LiPing;  Zhang Bo
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Maxwell equations  finite-difference time-domain method  stability  superconvergence  perfectly electric conducting boundary conditions  energy identities  
Upwind compact finite difference scheme for time-accurate solution of the incompressible Navier-Stokes equations 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2010, 卷号: 215, 期号: 9, 页码: 3201-3213
Authors:  Shah, Abdullah;  Yuan, Li;  Khan, Aftab
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Incompressible Navier-Stokes equation  Artificial compressibility method  Upwind compact finite difference  Flux-difference splitting  Dual-time stepping  Kovasznay flow problem  Oscillating plate  Taylor's decaying vortices  Doubly periodic shear layer  
Splitting finite difference methods on staggered grids for the three-dimensional time-dependent Maxwell equations 期刊论文
COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2008, 卷号: 4, 期号: 2, 页码: 405-432
Authors:  Gao, Liping;  Zhang, Bo;  Liang, Dong
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splitting scheme  alternating direction implicit method  finite-difference time-domain method  stability  convergence  Maxwell's equations  perfectly conducting boundary  
3D hybrid depth migration and four-way splitting schemes 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2006, 卷号: 24, 期号: 4, 页码: 463-474
Authors:  Zhang, Wen-sheng;  Zhang, Guan-quan
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3D depth migration  multiway splitting  data line  wavefield computation  finite-difference  hybrid method  
Methods for wave equation prestack depth migration and numerical experiments 期刊论文
SCIENCE IN CHINA SERIES A-MATHEMATICS, 2004, 卷号: 47, 页码: 111-120
Authors:  Zhang, GQ;  Zhang, WS
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wave operator splitting  3D prestack depth migration  SEG/EAEG model  synthesized-shot  finite-difference method  factorization method  hybrid method  MPI