Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043
Chen, Xiaojun; Xiang, Shuhuang |
|
2006
|
Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann |
|
2011
|
Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\). Zbl 1158.65020
Xiang, Shuhuang |
|
2007
|
On the convergence rates of Legendre approximation. Zbl 1242.41016
Wang, Haiyong; Xiang, Shuhuang |
|
2012
|
Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018
Chen, Xiaojun; Xiang, Shuhuang |
|
2007
|
Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018
Xiang, Shuhuang |
|
2007
|
Fast integration of highly oscillatory integrals with exotic oscillators. Zbl 1198.65052
Xiang, Shuhuang; Wang, Haiyong |
|
2010
|
Error bounds for approximation in Chebyshev points. Zbl 1201.65040
Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong |
|
2010
|
Uniform approximations to Cauchy principal value integrals of oscillatory functions. Zbl 1179.65165
Wang, Haiyong; Xiang, Shuhuang |
|
2009
|
Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels. Zbl 1268.65171
Xiang, Shuhuang; Brunner, Hermann |
|
2013
|
Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel. Zbl 1242.65290
Wang, Haiyong; Xiang, Shuhuang |
|
2011
|
On the evaluation of Cauchy principal value integrals of oscillatory functions. Zbl 1190.65043
Wang, Haiyong; Xiang, Shuhuang |
|
2010
|
On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity. Zbl 1259.65059
Xiang, Shuhuang; Bornemann, Folkmar |
|
2012
|
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066
Chen, Xiaojun; Xiang, Shuhuang |
|
2013
|
On generalized quadrature rules for fast oscillatory integrals. Zbl 1145.41310
Xiang, Shuhuang; Gui, Weihua |
|
2008
|
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1320.65043
Xiang, Shuhuang; He, Guo; Cho, Yeol Je |
|
2015
|
Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels. Zbl 1329.65324
Xiang, Shuhuang; Wu, Qinghua |
|
2013
|
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application. Zbl 1305.65107
He, Guo; Xiang, Shuhuang |
|
2015
|
On the calculation of highly oscillatory integrals with an algebraic singularity. Zbl 1209.65030
Kang, Hongchao; Xiang, Shuhuang |
|
2010
|
Efficient computation of highly oscillatory integrals with Hankel kernel. Zbl 1410.65074
Xu, Zhenhua; Milovanović, Gradimir V.; Xiang, Shuhuang |
|
2015
|
Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. Zbl 1255.65073
Kang, Hongchao; Xiang, Shuhuang; He, Guo |
|
2013
|
Numerical quadrature for Bessel transformations. Zbl 1152.65041
Xiang, Shuhuang; Gui, Weihua; Mo, Pinghua |
|
2008
|
On error bounds for orthogonal polynomial expansions and Gauss-type quadrature. Zbl 1263.65027
Xiang, Shuhuang |
|
2012
|
Sparse solutions of linear complementarity problems. Zbl 1346.90776
Chen, Xiaojun; Xiang, Shuhuang |
|
2016
|
Efficient integration for a class of highly oscillatory integrals. Zbl 1246.65045
Kang, Hongchao; Xiang, Shuhuang |
|
2011
|
On uniform approximations to hypersingular finite-part integrals. Zbl 1329.41036
Xiang, Shuhuang; Fang, Chunhua; Xu, Zhenhua |
|
2016
|
Efficient quadrature of highly oscillatory integrals with algebraic singularities. Zbl 1256.65109
Kang, Hongchao; Xiang, Shuhuang |
|
2013
|
A collocation boundary value method for linear Volterra integral equations. Zbl 1398.65355
Ma, Junjie; Xiang, Shuhuang |
|
2017
|
Efficient evaluation of oscillatory Bessel Hilbert transforms. Zbl 1294.65110
Xu, Zhenhua; Xiang, Shuhuang; He, Guo |
|
2014
|
Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature. Zbl 1259.65058
Xiang, Shuhuang |
|
2012
|
Numerical evaluation of a class of highly oscillatory integrals involving Airy functions. Zbl 1338.65065
Xu, Zhenhua; Xiang, Shuhuang |
|
2014
|
On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels. Zbl 1460.65167
Xiang, Shuhuang; He, Kaixian |
|
2013
|
Efficient quadrature for highly oscillatory integrals involving critical points. Zbl 1119.65019
Xiang, Shuhuang |
|
2007
|
On the Filon and Levin methods for highly oscillatory integral \(\smallint^{b}_{a}f(x)e^{iwg(x)}\,dx\). Zbl 1129.65017
Xiang, Shuhuang |
|
2007
|
A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels. Zbl 1416.65536
He, Guo; Xiang, Shuhuang; Xu, Zhenhua |
|
2016
|
On the evaluation of highly oscillatory finite Hankel transform using special functions. Zbl 1341.65050
Xu, Zhenhua; Xiang, Shuhuang |
|
2016
|
Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind. Zbl 1410.65509
Xiang, Shuhuang |
|
2014
|
On interpolation approximation: convergence rates for polynomial interpolation for functions of limited regularity. Zbl 1342.65084
Xiang, Shuhuang |
|
2016
|
Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method. Zbl 1362.65138
He, Guo; Xiang, Shuhuang; Zhu, Enwen |
|
2016
|
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels. Zbl 1429.65048
Liu, Guidong; Xiang, Shuhuang |
|
2019
|
Mappings of conservative distances and the Mazur-Ulam theorem. Zbl 0971.47001
Xiang, Shuhuang |
|
2001
|
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. Zbl 1308.65221
Ma, Junjie; Xiang, Shuhuang; Kang, Hongchao |
|
2013
|
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Zbl 1511.42024
Xiang, Shuhuang; Liu, Guidong |
|
2020
|
On Van der Corput-type lemmas for Bessel and Airy transforms and applications. Zbl 1459.65033
Xiang, Shuhuang |
|
2019
|
Convergence rates on spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities. Zbl 1465.41003
Xiang, Shuhuang |
|
2021
|
Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals. Zbl 1177.65042
Chen, Ruyun; Xiang, Shuhuang |
|
2009
|
Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations. Zbl 1310.65170
Ma, Junjie; Fang, Chunhua; Xiang, Shuhuang |
|
2015
|
Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel. Zbl 1438.65330
Li, Bin; Xiang, Shuhuang; Liu, Guidong |
|
2019
|
New preconditioners based on symmetric-triangular decomposition for saddle point problems. Zbl 1232.65050
Peng, Xiao-Fei; Li, Wen; Xiang, Shuhuang |
|
2011
|
On fast multipole methods for Volterra integral equations with highly oscillatory kernels. Zbl 1524.65991
Zhang, Qingyang; Xiang, Shuhuang |
|
2019
|
Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels. Zbl 1433.65034
Li, Bin; Xiang, Shuhuang |
|
2019
|
Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183
Chen, Xiaojun; Xiang, Shuhuang |
|
2011
|
A new spectral method using nonstandard singular basis functions for time-fractional differential equations. Zbl 1463.65325
Liu, Wenjie; Wang, Li-Lian; Xiang, Shuhuang |
|
2019
|
A convergence analysis of block accelerated over-relaxation iterative methods for weak block \(H\)-matrices to partition \(\pi \). Zbl 1106.65028
Xiang, Shuhuang; Zhang, Shenglei |
|
2006
|
Performance output tracking for multidimensional heat equation subject to unmatched disturbance and noncollocated control. Zbl 1533.93317
Zhou, Hua-Cheng; Guo, Bao-Zhu; Xiang, Shu-Huang |
|
2020
|
On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem. Zbl 1130.39027
Tan, Liyun; Xiang, Shuhuang |
|
2007
|
On the Levin iterative method for oscillatory integrals. Zbl 1158.65021
Xiang, Shuhuang; Wang, Haiyong |
|
2008
|
Levin methods for highly oscillatory integrals with singularities. Zbl 1482.65035
Wang, Yinkun; Xiang, Shuhuang |
|
2022
|
On efficient computation of highly oscillatory retarded potential integral equations. Zbl 1499.65776
Xiang, Shuhuang; Li, Bin; Liu, Guidong |
|
2018
|
Hermite-type collocation methods to solve Volterra integral equations with highly oscillatory Bessel kernels. Zbl 1416.65531
Fang, Chunhua; He, Guo; Xiang, Shuhuang |
|
2019
|
Weak block diagonally dominant matrices, weak block \(H\)-matrix and their applications. Zbl 0937.65041
Xiang, Shuhuang; You, Zhaoyong |
|
1998
|
On Mazur-Ulam theorem and mappings which preserve distances. Zbl 0981.46008
Rassias, Themistocles M.; Xiang, Shuhuang |
|
2000
|
On quadrature of Bessel transformations. Zbl 1062.65141
Xiang, Shuhuang |
|
2005
|
Pointwise error estimates and local superconvergence of Jacobi expansions. Zbl 1541.65010
Xiang, Shuhuang; Kong, Desong; Liu, Guidong; Wang, Li-Lian |
|
2023
|
The fast implementation of higher order Hermite-Fejér interpolation. Zbl 1320.65024
Xiang, Shuhuang; He, Guo |
|
2015
|
On optimal convergence rates of a two-dimensional fast multipole method. Zbl 1377.65164
Xiang, Shuhuang; Liu, Guidong |
|
2018
|
Erratum to: “Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications”. Zbl 1464.65028
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann |
|
2013
|
Fast multipole methods for approximating a function from sampling values. Zbl 1421.65004
Liu, Guidong; Xiang, Shuhuang |
|
2017
|
On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity. Zbl 1471.41008
Xiang, Shuhuang |
|
2018
|
On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity. Zbl 1222.41038
Mo, Hongmin; Xiang, Shuhuang |
|
2011
|
Generic stability on weight factors in multiobjective optimization problems. Zbl 0872.90082
Xiang, Shuwen; Xiang, Shuhuang |
|
1997
|
On mappings with conservative distances and the Mazur-Ulam theorem. Zbl 1004.46007
Rassias, Themistocles M.; Xiang, Shuhuang |
|
2000
|
An improved error bound on Gauss quadrature. Zbl 1336.41012
Xiang, Shuhuang |
|
2016
|
On evaluation of oscillatory transforms from position to momentum space. Zbl 1429.65049
Chen, Ruyun; Xiang, Shuhuang; Kuang, Xuesong |
|
2019
|
Fast and stable augmented Levin methods for highly oscillatory and singular integrals. Zbl 1507.65067
Wang, Yinkun; Xiang, Shuhuang |
|
2022
|
Numerical quadrature for Bessel transformations with high oscillations. Zbl 1233.65025
Xiang, Shuhuang |
|
2009
|
On fast and stable implementation of Clenshaw-Curtis and Fejér-type quadrature rules. Zbl 1470.65036
Xiang, Shuhuang; He, Guo; Wang, Haiyong |
|
2014
|
On convergence rates of prolate interpolation and differentiation. Zbl 1411.65025
Tian, Yan; Xiang, Shuhuang |
|
2019
|
Computation of generalized differentials in nonlinear complementarity problems. Zbl 1261.90066
Xiang, Shuhuang; Chen, Xiaojun |
|
2011
|
Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. Zbl 1371.65024
Xu, Zhenhua; Xiang, Shuhuang |
|
2017
|
Notes on completely positive matrices. Zbl 0889.15018
Xiang, Shuhuang; Xiang, Shuwen |
|
1998
|
On an inequality for the Hadamard product of an \(M\)-matrix or an \(H\)-matrix and its inverse. Zbl 1019.15006
Xiang, Shuhuang |
|
2003
|
On approximate isometries in Banach spaces. Zbl 1019.46011
Rassias, Themistocles M.; Xiang, Shuhuang |
|
2001
|
Fast computation of the spectral differentiation by the fast multipole method. Zbl 1442.78010
Tian, Yan; Xiang, Shuhuang; Liu, Guidong |
|
2019
|
Sparse solutions of a class of constrained optimization problems. Zbl 1501.90078
Yang, Lei; Chen, Xiaojun; Xiang, Shuhuang |
|
2022
|
A parameter method for computing highly oscillatory integrals. Zbl 1189.65042
Chen, Ruyun; Xiang, Shuhuang; Zhou, Yongxiong |
|
2009
|
Fast multipole method for singular integral equations of second kind. Zbl 1422.65460
Wu, Qinghua; Xiang, Shuhuang |
|
2015
|
A fast hybrid Galerkin method for high-frequency acoustic scattering. Zbl 1377.65160
Li, Song-Hua; Xiang, Shuhuang; Xian, Jun |
|
2017
|
On convergence rates of Fejér and Gauss-Chebyshev quadrature rules. Zbl 1306.65171
Xiang, Shuhuang |
|
2013
|
On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels. Zbl 1483.65218
Li, Bin; Xiang, Shuhuang |
|
2020
|
Efficient methods for some highly oscillatory integrals and integral equations. Zbl 1488.65761
Xiang, Shuhuang |
|
2012
|
On optimal convergence rates of Laguerre polynomial expansions for piecewise functions. Zbl 1514.65183
Zhang, Yali; Xiang, Shuhuang; Kong, Desong |
|
2023
|
An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel. Zbl 1512.65306
Kong, Desong; Xiang, Shuhuang; Wu, Hongyu |
|
2023
|
On the Aleksandrov-Rassias problem for isometric mappings. Zbl 1075.46010
Xiang, Shuhuang |
|
2003
|
On the stability of approximate isometries. Zbl 1025.46011
Rassias, Themistocles M.; Xiang, Shuhuang |
|
2002
|
A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems. Zbl 1508.65022
Wu, Hongyu; Xiang, Shuhuang |
|
2021
|
Implosion of the Argentinian submarine ARA San Juan S-42 undersea: modeling and simulation. Zbl 1461.74017
Wei, Chunqiu; Chen, Goong; Sergeev, Alexey; Yeh, Jean; Chen, Jianhua; Wang, Junmin; Ji, Shaochun; Wang, Jiao; Yang, Donghui; Xiang, Shuhuang; Cao, Xiaomin; Lu, Wenying; Scully, Marlan O. |
|
2020
|
Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel. Zbl 07704202
Xiang, Shuhuang; Zhang, Qingyang |
|
2023
|
Pointwise error estimates and local superconvergence of Jacobi expansions. Zbl 1541.65010
Xiang, Shuhuang; Kong, Desong; Liu, Guidong; Wang, Li-Lian |
|
2023
|
On optimal convergence rates of Laguerre polynomial expansions for piecewise functions. Zbl 1514.65183
Zhang, Yali; Xiang, Shuhuang; Kong, Desong |
|
2023
|
An efficient numerical method for Volterra integral equation of the second kind with a weakly singular kernel. Zbl 1512.65306
Kong, Desong; Xiang, Shuhuang; Wu, Hongyu |
|
2023
|
Asymptotics on the Fredholm integral equation with a highly oscillatory and weakly singular kernel. Zbl 07704202
Xiang, Shuhuang; Zhang, Qingyang |
|
2023
|
Levin methods for highly oscillatory integrals with singularities. Zbl 1482.65035
Wang, Yinkun; Xiang, Shuhuang |
|
2022
|
Fast and stable augmented Levin methods for highly oscillatory and singular integrals. Zbl 1507.65067
Wang, Yinkun; Xiang, Shuhuang |
|
2022
|
Sparse solutions of a class of constrained optimization problems. Zbl 1501.90078
Yang, Lei; Chen, Xiaojun; Xiang, Shuhuang |
|
2022
|
Convergence rates on spectral orthogonal projection approximation for functions of algebraic and logarithmatic regularities. Zbl 1465.41003
Xiang, Shuhuang |
|
2021
|
A new constraint preconditioner based on the PGSS iteration method for non-Hermitian generalized saddle point problems. Zbl 1508.65022
Wu, Hongyu; Xiang, Shuhuang |
|
2021
|
Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. Zbl 1511.42024
Xiang, Shuhuang; Liu, Guidong |
|
2020
|
Performance output tracking for multidimensional heat equation subject to unmatched disturbance and noncollocated control. Zbl 1533.93317
Zhou, Hua-Cheng; Guo, Bao-Zhu; Xiang, Shu-Huang |
|
2020
|
On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels. Zbl 1483.65218
Li, Bin; Xiang, Shuhuang |
|
2020
|
Implosion of the Argentinian submarine ARA San Juan S-42 undersea: modeling and simulation. Zbl 1461.74017
Wei, Chunqiu; Chen, Goong; Sergeev, Alexey; Yeh, Jean; Chen, Jianhua; Wang, Junmin; Ji, Shaochun; Wang, Jiao; Yang, Donghui; Xiang, Shuhuang; Cao, Xiaomin; Lu, Wenying; Scully, Marlan O. |
|
2020
|
Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels. Zbl 1429.65048
Liu, Guidong; Xiang, Shuhuang |
|
2019
|
On Van der Corput-type lemmas for Bessel and Airy transforms and applications. Zbl 1459.65033
Xiang, Shuhuang |
|
2019
|
Laplace transforms for evaluation of Volterra integral equation of the first kind with highly oscillatory kernel. Zbl 1438.65330
Li, Bin; Xiang, Shuhuang; Liu, Guidong |
|
2019
|
On fast multipole methods for Volterra integral equations with highly oscillatory kernels. Zbl 1524.65991
Zhang, Qingyang; Xiang, Shuhuang |
|
2019
|
Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels. Zbl 1433.65034
Li, Bin; Xiang, Shuhuang |
|
2019
|
A new spectral method using nonstandard singular basis functions for time-fractional differential equations. Zbl 1463.65325
Liu, Wenjie; Wang, Li-Lian; Xiang, Shuhuang |
|
2019
|
Hermite-type collocation methods to solve Volterra integral equations with highly oscillatory Bessel kernels. Zbl 1416.65531
Fang, Chunhua; He, Guo; Xiang, Shuhuang |
|
2019
|
On evaluation of oscillatory transforms from position to momentum space. Zbl 1429.65049
Chen, Ruyun; Xiang, Shuhuang; Kuang, Xuesong |
|
2019
|
On convergence rates of prolate interpolation and differentiation. Zbl 1411.65025
Tian, Yan; Xiang, Shuhuang |
|
2019
|
Fast computation of the spectral differentiation by the fast multipole method. Zbl 1442.78010
Tian, Yan; Xiang, Shuhuang; Liu, Guidong |
|
2019
|
On efficient computation of highly oscillatory retarded potential integral equations. Zbl 1499.65776
Xiang, Shuhuang; Li, Bin; Liu, Guidong |
|
2018
|
On optimal convergence rates of a two-dimensional fast multipole method. Zbl 1377.65164
Xiang, Shuhuang; Liu, Guidong |
|
2018
|
On the optimal convergence rates of Chebyshev interpolations for functions of limited regularity. Zbl 1471.41008
Xiang, Shuhuang |
|
2018
|
A collocation boundary value method for linear Volterra integral equations. Zbl 1398.65355
Ma, Junjie; Xiang, Shuhuang |
|
2017
|
Fast multipole methods for approximating a function from sampling values. Zbl 1421.65004
Liu, Guidong; Xiang, Shuhuang |
|
2017
|
Gauss-type quadrature for highly oscillatory integrals with algebraic singularities and applications. Zbl 1371.65024
Xu, Zhenhua; Xiang, Shuhuang |
|
2017
|
A fast hybrid Galerkin method for high-frequency acoustic scattering. Zbl 1377.65160
Li, Song-Hua; Xiang, Shuhuang; Xian, Jun |
|
2017
|
Sparse solutions of linear complementarity problems. Zbl 1346.90776
Chen, Xiaojun; Xiang, Shuhuang |
|
2016
|
On uniform approximations to hypersingular finite-part integrals. Zbl 1329.41036
Xiang, Shuhuang; Fang, Chunhua; Xu, Zhenhua |
|
2016
|
A Chebyshev collocation method for a class of Fredholm integral equations with highly oscillatory kernels. Zbl 1416.65536
He, Guo; Xiang, Shuhuang; Xu, Zhenhua |
|
2016
|
On the evaluation of highly oscillatory finite Hankel transform using special functions. Zbl 1341.65050
Xu, Zhenhua; Xiang, Shuhuang |
|
2016
|
On interpolation approximation: convergence rates for polynomial interpolation for functions of limited regularity. Zbl 1342.65084
Xiang, Shuhuang |
|
2016
|
Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method. Zbl 1362.65138
He, Guo; Xiang, Shuhuang; Zhu, Enwen |
|
2016
|
An improved error bound on Gauss quadrature. Zbl 1336.41012
Xiang, Shuhuang |
|
2016
|
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals. Zbl 1320.65043
Xiang, Shuhuang; He, Guo; Cho, Yeol Je |
|
2015
|
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application. Zbl 1305.65107
He, Guo; Xiang, Shuhuang |
|
2015
|
Efficient computation of highly oscillatory integrals with Hankel kernel. Zbl 1410.65074
Xu, Zhenhua; Milovanović, Gradimir V.; Xiang, Shuhuang |
|
2015
|
Modified asymptotic orders of the direct Filon method for a class of Volterra integral equations. Zbl 1310.65170
Ma, Junjie; Fang, Chunhua; Xiang, Shuhuang |
|
2015
|
The fast implementation of higher order Hermite-Fejér interpolation. Zbl 1320.65024
Xiang, Shuhuang; He, Guo |
|
2015
|
Fast multipole method for singular integral equations of second kind. Zbl 1422.65460
Wu, Qinghua; Xiang, Shuhuang |
|
2015
|
Efficient evaluation of oscillatory Bessel Hilbert transforms. Zbl 1294.65110
Xu, Zhenhua; Xiang, Shuhuang; He, Guo |
|
2014
|
Numerical evaluation of a class of highly oscillatory integrals involving Airy functions. Zbl 1338.65065
Xu, Zhenhua; Xiang, Shuhuang |
|
2014
|
Laplace transforms for approximation of highly oscillatory Volterra integral equations of the first kind. Zbl 1410.65509
Xiang, Shuhuang |
|
2014
|
On fast and stable implementation of Clenshaw-Curtis and Fejér-type quadrature rules. Zbl 1470.65036
Xiang, Shuhuang; He, Guo; Wang, Haiyong |
|
2014
|
Efficient methods for Volterra integral equations with highly oscillatory Bessel kernels. Zbl 1268.65171
Xiang, Shuhuang; Brunner, Hermann |
|
2013
|
Newton iterations in implicit time-stepping scheme for differential linear complementarity systems. Zbl 1276.90066
Chen, Xiaojun; Xiang, Shuhuang |
|
2013
|
Numerical solutions to Volterra integral equations of the second kind with oscillatory trigonometric kernels. Zbl 1329.65324
Xiang, Shuhuang; Wu, Qinghua |
|
2013
|
Computation of integrals with oscillatory and singular integrands using Chebyshev expansions. Zbl 1255.65073
Kang, Hongchao; Xiang, Shuhuang; He, Guo |
|
2013
|
Efficient quadrature of highly oscillatory integrals with algebraic singularities. Zbl 1256.65109
Kang, Hongchao; Xiang, Shuhuang |
|
2013
|
On the implementation of discontinuous Galerkin methods for Volterra integral equations with highly oscillatory Bessel kernels. Zbl 1460.65167
Xiang, Shuhuang; He, Kaixian |
|
2013
|
On the convergence rates of Filon methods for the solution of a Volterra integral equation with a highly oscillatory Bessel kernel. Zbl 1308.65221
Ma, Junjie; Xiang, Shuhuang; Kang, Hongchao |
|
2013
|
Erratum to: “Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications”. Zbl 1464.65028
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann |
|
2013
|
On convergence rates of Fejér and Gauss-Chebyshev quadrature rules. Zbl 1306.65171
Xiang, Shuhuang |
|
2013
|
On the convergence rates of Legendre approximation. Zbl 1242.41016
Wang, Haiyong; Xiang, Shuhuang |
|
2012
|
On the convergence rates of Gauss and Clenshaw-Curtis quadrature for functions of limited regularity. Zbl 1259.65059
Xiang, Shuhuang; Bornemann, Folkmar |
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2012
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On error bounds for orthogonal polynomial expansions and Gauss-type quadrature. Zbl 1263.65027
Xiang, Shuhuang |
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2012
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Asymptotics on Laguerre or Hermite polynomial expansions and their applications in Gauss quadrature. Zbl 1259.65058
Xiang, Shuhuang |
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2012
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Efficient methods for some highly oscillatory integrals and integral equations. Zbl 1488.65761
Xiang, Shuhuang |
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2012
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Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications. Zbl 1232.65047
Xiang, Shuhuang; Cho, Yeol Je; Wang, Haiyong; Brunner, Hermann |
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2011
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Asymptotic expansion and Filon-type methods for a Volterra integral equation with a highly oscillatory kernel. Zbl 1242.65290
Wang, Haiyong; Xiang, Shuhuang |
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2011
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Efficient integration for a class of highly oscillatory integrals. Zbl 1246.65045
Kang, Hongchao; Xiang, Shuhuang |
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2011
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New preconditioners based on symmetric-triangular decomposition for saddle point problems. Zbl 1232.65050
Peng, Xiao-Fei; Li, Wen; Xiang, Shuhuang |
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2011
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Implicit solution function of P\(_{0}\) and Z matrix linear complementarity constraints. Zbl 1218.90183
Chen, Xiaojun; Xiang, Shuhuang |
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2011
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On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity. Zbl 1222.41038
Mo, Hongmin; Xiang, Shuhuang |
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2011
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Computation of generalized differentials in nonlinear complementarity problems. Zbl 1261.90066
Xiang, Shuhuang; Chen, Xiaojun |
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2011
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Fast integration of highly oscillatory integrals with exotic oscillators. Zbl 1198.65052
Xiang, Shuhuang; Wang, Haiyong |
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2010
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Error bounds for approximation in Chebyshev points. Zbl 1201.65040
Xiang, Shuhuang; Chen, Xiaojun; Wang, Haiyong |
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2010
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On the evaluation of Cauchy principal value integrals of oscillatory functions. Zbl 1190.65043
Wang, Haiyong; Xiang, Shuhuang |
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2010
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On the calculation of highly oscillatory integrals with an algebraic singularity. Zbl 1209.65030
Kang, Hongchao; Xiang, Shuhuang |
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2010
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Uniform approximations to Cauchy principal value integrals of oscillatory functions. Zbl 1179.65165
Wang, Haiyong; Xiang, Shuhuang |
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2009
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Note on the homotopy perturbation method for multivariate vector-value oscillatory integrals. Zbl 1177.65042
Chen, Ruyun; Xiang, Shuhuang |
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2009
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Numerical quadrature for Bessel transformations with high oscillations. Zbl 1233.65025
Xiang, Shuhuang |
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2009
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A parameter method for computing highly oscillatory integrals. Zbl 1189.65042
Chen, Ruyun; Xiang, Shuhuang; Zhou, Yongxiong |
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2009
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On generalized quadrature rules for fast oscillatory integrals. Zbl 1145.41310
Xiang, Shuhuang; Gui, Weihua |
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2008
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Numerical quadrature for Bessel transformations. Zbl 1152.65041
Xiang, Shuhuang; Gui, Weihua; Mo, Pinghua |
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2008
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On the Levin iterative method for oscillatory integrals. Zbl 1158.65021
Xiang, Shuhuang; Wang, Haiyong |
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2008
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Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\). Zbl 1158.65020
Xiang, Shuhuang |
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2007
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Perturbation bounds of P-matrix linear complementarity problems. Zbl 1172.90018
Chen, Xiaojun; Xiang, Shuhuang |
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2007
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Numerical analysis of a fast integration method for highly oscillatory functions. Zbl 1145.65018
Xiang, Shuhuang |
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2007
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Efficient quadrature for highly oscillatory integrals involving critical points. Zbl 1119.65019
Xiang, Shuhuang |
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2007
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On the Filon and Levin methods for highly oscillatory integral \(\smallint^{b}_{a}f(x)e^{iwg(x)}\,dx\). Zbl 1129.65017
Xiang, Shuhuang |
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2007
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On the Aleksandrov-Rassias problem and the Hyers-Ulam-Rassias stability problem. Zbl 1130.39027
Tan, Liyun; Xiang, Shuhuang |
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2007
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Computation of error bounds for P-matrix linear complementarity problems. Zbl 1134.90043
Chen, Xiaojun; Xiang, Shuhuang |
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2006
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A convergence analysis of block accelerated over-relaxation iterative methods for weak block \(H\)-matrices to partition \(\pi \). Zbl 1106.65028
Xiang, Shuhuang; Zhang, Shenglei |
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2006
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On quadrature of Bessel transformations. Zbl 1062.65141
Xiang, Shuhuang |
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2005
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On an inequality for the Hadamard product of an \(M\)-matrix or an \(H\)-matrix and its inverse. Zbl 1019.15006
Xiang, Shuhuang |
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2003
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On the Aleksandrov-Rassias problem for isometric mappings. Zbl 1075.46010
Xiang, Shuhuang |
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2003
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On the stability of approximate isometries. Zbl 1025.46011
Rassias, Themistocles M.; Xiang, Shuhuang |
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2002
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Mappings of conservative distances and the Mazur-Ulam theorem. Zbl 0971.47001
Xiang, Shuhuang |
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2001
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On approximate isometries in Banach spaces. Zbl 1019.46011
Rassias, Themistocles M.; Xiang, Shuhuang |
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2001
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On Mazur-Ulam theorem and mappings which preserve distances. Zbl 0981.46008
Rassias, Themistocles M.; Xiang, Shuhuang |
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2000
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On mappings with conservative distances and the Mazur-Ulam theorem. Zbl 1004.46007
Rassias, Themistocles M.; Xiang, Shuhuang |
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2000
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Weak block diagonally dominant matrices, weak block \(H\)-matrix and their applications. Zbl 0937.65041
Xiang, Shuhuang; You, Zhaoyong |
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1998
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Notes on completely positive matrices. Zbl 0889.15018
Xiang, Shuhuang; Xiang, Shuwen |
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1998
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Generic stability on weight factors in multiobjective optimization problems. Zbl 0872.90082
Xiang, Shuwen; Xiang, Shuhuang |
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1997
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