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Modified averaged vector field methods preserving multiple invariants for conservative stochastic differential equations 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 41
Authors:  Chen, Chuchu;  Hong, Jialin;  Jin, Diancong
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Stochastic differential equations  Invariants  Conservative methods  Mean square convergence order  Quadrature formula  
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  
A SPECTRAL METHOD FOR PANTOGRAPH-TYPE DELAY DIFFERENTIAL EQUATIONS AND ITS CONVERGENCE ANALYSIS 期刊论文
JOURNAL OF COMPUTATIONAL MATHEMATICS, 2009, 卷号: 27, 期号: 2-3, 页码: 254-265
Authors:  Ali, Ishtiaq;  Brunner, Hermann;  Tang, Tao
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Spectral methods  Legendre quadrature formula  Pantograph-type delay differential equations  Error analysis  Exponential convergence  
Implicit Runge-Kutta methods based on Radau quadrature formula 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2009, 卷号: 86, 期号: 8, 页码: 1394-1404
Authors:  Ding, Xiaohua;  Tan, Jiabo
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W-transformation  symplectic  algebraically stable  symmetric  quadrature formula  
Construction of sigma-orthogonal polynomials and gaussian quadrature formulas 期刊论文
ADVANCES IN COMPUTATIONAL MATHEMATICS, 2007, 卷号: 27, 期号: 1, 页码: 79-94
Authors:  Shi, Ying Guang;  Xu, Guoliang
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sigma-orthogonal polynomials  existence  uniqueness  characterizations  continuity  Gaussian quadrature formulas  algorithm  
Implicit Runge-Kutta methods based on Lobatto quadrature formula 期刊论文
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2005, 卷号: 82, 期号: 1, 页码: 77-88
Authors:  Liu, HY;  Sun, G
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Runge-Kutta method  Lobatto quadrature  symplectic  stiff accuracy  A-stability  L-stability  
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  
Evaluations of certain hypersingular integrals on interval 期刊论文
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2001, 卷号: 51, 期号: 10, 页码: 1195-1210
Authors:  Du, QK
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hypersingular integrals  finite-part integrals  quadrature formula  
On Christoffel type functions for L-m extremal polynomials, II 期刊论文
JOURNAL OF APPROXIMATION THEORY, 2001, 卷号: 111, 期号: 1, 页码: 59-80
Authors:  Shi, YG
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Turan quadrature formulas and Christoffel type functions for the Chebyshev polynomials of the second kind 期刊论文
ACTA MATHEMATICA HUNGARICA, 1999, 卷号: 85, 期号: 3, 页码: 253-263
Authors:  Shi, YG
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