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High Order Mass-Lumping Finite Elements on Simplexes 期刊论文
NUMERICAL MATHEMATICS-THEORY METHODS AND APPLICATIONS, 2017, 卷号: 10, 期号: 2, 页码: 331-350
Authors:  Cui, Tao;  Leng, Wei;  Lin, Deng;  Ma, Shichao;  Zhang, Linbo
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Finite element  mass-lumping  simplex  numerical quadrature  multivariate polynomial interpolation  unisolvence  
CONSERVATIVE METHODS FOR STOCHASTIC DIFFERENTIAL EQUATIONS WITH A CONSERVED QUANTITY 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2016, 卷号: 13, 期号: 3, 页码: 435-456
Authors:  Chen, Chuchu;  Cohen, David;  Hong, Jialin
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Stochastic differential equations  invariants  conservative methods  stochastic geometric numerical integration  quadrature formula  splitting technique  mean-square convergence order  weak convergence order  
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
Authors:  Li Jin;  Zhang XiaoPing;  Yu DeHao
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CAUCHY PRINCIPAL VALUE  FINITE-PART INTEGRALS  GAUSSIAN QUADRATURE  SINGULAR-INTEGRALS  NUMERICAL-SOLUTION  EQUATIONS  SUPERCONVERGENCE  CIRCLE  hypersingular integrals  trapezoidal rule  asymptotic error expansion  extrapolation algorithm  
A SET OF SYMMETRIC QUADRATURE RULES ON TRIANGLES AND TETRAHEDRA 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 1, 页码: 89-96
Authors:  Zhang, Linbo;  Cui, Tao;  Liu, Hui
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Finite element  Numerical integration  Quadrature  Cubature  Triangle  Tetrahedron  
Numerical solution for series sine-Gordon equations using variational method and finite element approximation 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 168, 期号: 1, 页码: 567-599
Authors:  Wang, QF
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sine-Gordon equations  numerical solution  finite element methods  Gauss-Legendre quadrature  Runge-Kutta method  
Numerical solution of damped nonlinear Klein-Gordon equations using variational method and finite element approach 期刊论文
APPLIED MATHEMATICS AND COMPUTATION, 2005, 卷号: 162, 期号: 1, 页码: 381-401
Authors:  Wang, QF;  Cheng, DZ
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Klein-Gordon equations  numerical solution  finite element methods  Gauss-Legendre quadrature  Runge-Kutta method  
Mathematical analysis for quadrilateral rotated Q(1) element - III: The effect of numerical integration 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2003, 卷号: 21, 期号: 3, 页码: 287-294
Authors:  Ming, PB;  Shi, ZC
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quadrilateral rotated Q(1) element  numerical quadrature  
Numerical methods for Stefan problems with prescribed convection and nonlinear flux 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2000, 卷号: 20, 期号: 1, 页码: 81-98
Authors:  Chen, ZM;  Shih, T;  Yue, XY
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piecewise linear finite elements  numerical quadrature  convergence  Stefan problem with convection  nonlinear flux