兰州大学机构库

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Simultaneous inversion of a fractional order and a space source term in an anomalous diffusion model 期刊论文
Journal of Inverse and Ill-Posed Problems, 2022, 卷号: 30, 期号: 6, 页码: 791-805
Authors:  Sun, Liangliang;  Yan, Xiongbin;  Liao, Kaifang
Favorite  |    Submit date:2022/11/08
Diffusion  Inverse problems  Iterative methods  Partial differential equations  Determination of fractional order  Fractional diffusion equation  Fractional order  Inverse source problem  Iterative Tikhonov regularization  Modified non-stationary iterative tikhonov regularization method  Nonstationary  Source terms  Tikhonov regularization method  Uniqueness  inverse source problem  fractional diffusion equation  uniqueness  modified non-stationary iterative Tikhonov regularization method  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, Zheng-qiang;  Wei, Ting
Favorite  |    Submit date:2023/01/03
Nonlinear equations  Wave equations  Fixed point arithmetic  Iterative methods  Ill-posedness  Iterative Tikhonov regularization  Non-stationary iterative tikhonov regularization method  Nonlinear inverse problems  Nonstationary  Potential coefficient  Source terms  Stability and uniqueness  Tikhonov regularization method  Time-dependent potentials  
Simultaneous inversion of a time-dependent potential coefficient and a time source term in a time fractional diffusion-wave equation 期刊论文
CHAOS SOLITONS & FRACTALS, 2022, 卷号: 157
Authors:  Yan, Xiong-bin;  Zhang, ZQ(张正强);  Wei, T(魏婷)
Favorite  |    Submit date:2022/07/01
Inverse problems  Iterative methods  Nonlinear equations  Wave equations  Ill-posedness  Iterative Tikhonov regularization  Non-stationary iterative tikhonov regularization method  Nonlinear inverse problems  Nonstationary  Potential coefficient  Source terms  Stability and uniqueness  Tikhonov regularization method  Time-dependent potentials  Fixed point arithmetic  
多重网格方法求解椭圆型偏微分方程的应用 学位论文
理学学士, 兰州: 兰州大学, 2018
Authors:  赖东衡
Favorite  |    Submit date:2023/11/15
雅克比迭代法  Jacobian iterative method  Gauss-Seidel迭代法  Gauss-Seidel iterative method  多重网格法  Multigrid method  椭圆型偏微分方程  Elliptic partial differential equation  
Preconditioned numerical manifold method for linear elastic fractures 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 406
Authors:  Liu, ZJ(刘治军);  Jiang, Yao;  Yang, Han;  Cai, Zhen;  Tong, Yuxin;  Zhang, FY(张帆宇)
Favorite  |    Submit date:2023/04/12
Cut-induced ill-conditioning  Extended finite element method (XFEM)  Linear dependence  Linear elastic fracture  Numerical manifold method (NMM)  Preconditioning  Ductile fracture  Finite element method  Iterative methods  Number theory  Numerical methods  Enriched finite element methods  Extended finite element methods (XFEM)  Ill-conditioning  Numerical manifold method  
Fast iterative solvers for the two-dimensional spatial fractional Ginzburg-Landau equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2021, 卷号: 121
Authors:  Zhang, Min;  Zhang, GF(张国凤)
Favorite  |    Submit date:2021/12/15
Spatial fractional Ginzburg-Landau equations  Splitting iteration method  ADI  Toeplitz matrix  FFT  Iterative methods  Linear systems  Matrix algebra  Numerical methods  Alternating direction implicit  Alternating direction implicit schemes  Fast fourier  Ginzburg-Landau equations  Iterative solvers  Matrix splittings  Spatial fractional ginzburg–landau equation  Toeplitz matrices  Two-dimensional  
Preconditioned numerical manifold method for linear elastic fractures 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 406
Authors:  Liu, ZJ(刘治军);  Jiang, Yao;  Yang, Han;  Cai, Zhen;  Tong, Yuxin;  Zhang, FY(张帆宇)
Favorite  |    Submit date:2023/07/18
Ductile fracture  Finite element method  Iterative methods  Number theory  Numerical methods  Cut-induced ill-conditioning  Enriched finite element methods  Extended finite element method (XFEM)  Extended finite element methods (XFEM)  Ill-conditioning  Linear dependence  Linear elastic fracture  Numerical manifold method  Preconditioning  
Preconditioned numerical manifold method for linear elastic fractures 期刊论文
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2023, 卷号: 406
Authors:  Liu, ZJ(刘治军);  Jiang, Yao;  Yang, Han;  Cai, Zhen;  Tong, Yuxin;  Zhang, FY(张帆宇)
Favorite  |    Submit date:2023/04/12
Ductile fracture  Finite element method  Iterative methods  Number theory  Numerical methods  Cut-induced ill-conditioning  Enriched finite element methods  Extended finite element method (XFEM)  Extended finite element methods (XFEM)  Ill-conditioning  Linear dependence  Linear elastic fracture  Numerical manifold method  Preconditioning  
分数阶扩散方程正问题和反问题的理论及数值方法研究 学位论文
理学博士, 兰州: 兰州大学, 2023
Authors:  姜素珍
Favorite  |    Submit date:2023/11/15
时间分数阶扩散方程  time fractional diffusion equation  $L1$ 方法  $L1$ scheme  $L2-1\sigma$方法  $L2-1\sigma$ scheme  分级网格  graded meshes  稳定性和收敛性  stability and convergence  唯一性  uniqueness  非定常迭代Tikhonov正则化方法  non-stationary iterative Tikhonov regularization method  Levenberg–Marquardt方法.  Levenberg-Marquardt method.  
A lopsided scaled DTS preconditioning method for the discrete space-fractional diffusion equations 期刊论文
APPLIED MATHEMATICS LETTERS, 2022, 卷号: 131
Authors:  Tang, Shi-Ping;  Huang, Yu-Mei
Favorite  |    Submit date:2023/01/03
Convergence of numerical methods  Matrix algebra  Partial differential equations  Eigenvalues and eigenfunctions  Diffusion  Linear equations  Iterative methods  Fractional diffusion equation  Lopsided matrix splitting iteration method  Matrix splittings  Preconditioners  Space-fractional diffusion equation  Space-fractional diffusions  Spectral distribution  Splitting iteration method  Splittings  Toeplitz