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Diagonalization-based parallel-in-time algorithms for parabolic PDE-constrained optimization problems 期刊论文
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS, 2020, 卷号: 26, 页码: 26
作者:  Wu, Shu-Lin;  Zhou, Tao
收藏  |  浏览/下载：145/0  |  提交时间：2021/04/26
Parabolic PDE-constrained optimization  PinT algorithm  diagonalization technique  preconditioner  GMRES  BiCGStab  
Space-time finite element method for the distributed-order time fractional reaction diffusion equations 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2020, 卷号: 152, 页码: 446-465
作者:  Bu, Weiping;  Ji, Lun;  Tang, Yifa;  Zhou, Jie
收藏  |  浏览/下载：134/0  |  提交时间：2020/05/24
Distributed-order reaction diffusion equation  Space-time finite element method  Graded time mesh  Well-posedness  Error estimate  Sum-of-exponentials approximation  
Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2017, 卷号: 350, 页码: 1-15
作者:  Arshad, Sadia;  Huang, Jianfei;  Khaliq, Abdul Q. M.;  Tang, Yifa
收藏  |  浏览/下载：135/0  |  提交时间：2018/07/30
Fractional diffusion equation  Caputo derivative  Riesz derivative  Trapezoidal rule  
Trapezoidal Rule for Computing Supersingular Integral on a Circle 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2016, 卷号: 66, 期号: 2, 页码: 740-760
作者:  Li, Jin;  Rui, Hongxing;  Yu, Dehao
收藏  |  浏览/下载：116/0  |  提交时间：2018/07/30
Supersingular integral  Composite trapezoidal rule  Error expansion  Superconvergence  Boundary element methods  
Extrapolation methods to compute hypersingular integral in boundary element methods 期刊论文
SCIENCE CHINA-MATHEMATICS, 2013, 卷号: 56, 期号: 8, 页码: 1647-1660
作者:  Li Jin;  Zhang XiaoPing;  Yu DeHao
收藏  |  浏览/下载：111/0  |  提交时间：2021/01/14
CAUCHY PRINCIPAL VALUE  FINITE-PART INTEGRALS  GAUSSIAN QUADRATURE  SINGULAR-INTEGRALS  NUMERICAL-SOLUTION  EQUATIONS  SUPERCONVERGENCE  CIRCLE  hypersingular integrals  trapezoidal rule  asymptotic error expansion  extrapolation algorithm  
The superconvergence of composite trapezoidal rule for Hadamard finite-part integral on a circle and its application 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2010, 卷号: 87, 期号: 4, 页码: 855-876
作者:  Zhang, Xiaoping;  Wu, Jiming;  Yu, Dehao
收藏  |  浏览/下载：102/0  |  提交时间：2018/07/30
finite-part integral  composite trapezoidal rule  superconvergence  finite-part integral equation of the second kind  scattering problem  
Generalized Extrapolation for Computation of Hypersingular Integrals in Boundary Element Methods 期刊论文
CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2009, 卷号: 42, 期号: 2, 页码: 151-175
作者:  Li, Jin;  Wu, Ji-ming;  Yu, De-hao
收藏  |  浏览/下载：100/0  |  提交时间：2018/07/30
Hypersingular integrals  trapezoidal rule  asymptotic error expansion  extrapolation algorithm  
A symplectic structure preserved by the trapezoidal rule 期刊论文
JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN, 2003, 卷号: 72, 期号: 9, 页码: 2193-2197
作者:  Tam, HW;  Wang, DL
收藏  |  浏览/下载：99/0  |  提交时间：2018/07/30
symplectic structure  trapezoidal rule  Richardson's extrapolation  
EXTRAPOLATION OF NYSTROM SOLUTIONS OF BOUNDARY INTEGRAL-EQUATIONS ON NONSMOOTH DOMAINS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 1992, 卷号: 10, 期号: 3, 页码: 231-244
作者:  GRAHAM, IG;  LIN, Q;  XIE, RF
收藏  |  浏览/下载：91/0  |  提交时间：2018/07/30