Edit Profile (opens in new tab) Xiong, Xiangtuan Co-Author Distance Author ID: xiong.xiangtuan Published as: Xiong, Xiangtuan; Xiong, Xiang-Tuan; Xiong, X. T.; Xiong, Xiang Tuan; Xiong, X.-T. more...less Documents Indexed: 94 Publications since 2004 Co-Authors: 56 Co-Authors with 91 Joint Publications 1,112 Co-Co-Authors all top 5 Co-Authors 2 single-authored 29 Fu, Chuli 14 Qian, Zhi 12 Li, Hongfang 12 Xue, Xuemin 7 Li, Ming 6 Yang, Shuping 5 Hon, Yiu-Chung 5 Shi, Wanxia 4 Cao, Xiaoxiao 4 Cheng, Qiang 4 Li, Zhenping 4 Wen, Jin 3 Fu, Peng 3 Ma, Xiaojun 3 Wang, Junxia 3 Zhuang, Ertan 2 Amin, Mohammed Elmustafa 2 Fan, Xiaoyan 2 Gao, Xiang 2 Guo, Hongbo 2 Han, Yaozong 2 Kong, Yanfeng 2 Li, Jinmei 2 Li, Jun 2 Liu, Xiaohong 2 Mao, Dongling 2 Ren, Liting 2 Zheng, Zhenming 2 Zhou, Qian 1 Bai, Enpeng 1 Chen, Yawen 1 Cheng, Jin 1 Dai, Pei 1 He, Shumei 1 Li, Yan 1 Ma, Rui 1 Miao, Shu-Xin 1 Nan, Nan 1 Nie, Yan 1 Pan, Ping 1 Qian, Ai-Lin 1 Shi, Juanjuan 1 Shi, Manzhou 1 Sun, Yue 1 Wang, Fengxia 1 Wang, Jianlin 1 Wei, Ting 1 Wu, Yujiang 1 Xi, Xiang-Xiang 1 Yan, Liang 1 Yan, Yao-Mei 1 Zhang, Yuanxiang 1 Zhao, Liping 1 Zhao, Xiaochen 1 Zhu, Liqin 1 Zhu, Youbin all top 5 Serials 12 Journal of Computational and Applied Mathematics 10 Applied Mathematics and Computation 5 Journal of Northwest Normal University. Natural Science 5 Inverse Problems in Science and Engineering 4 Computers & Mathematics with Applications 4 Applied Mathematical Modelling 3 Journal of Mathematical Analysis and Applications 3 International Journal of Mathematics and Mathematical Sciences 3 Applied Numerical Mathematics 3 Journal of Partial Differential Equations 3 AIMS Mathematics 2 Mathematics and Computers in Simulation 2 Mathematica Numerica Sinica 2 Journal of Jiangxi Normal University. Natural Science Edition 2 Numerical Algorithms 2 Journal of Inverse and Ill-Posed Problems 2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Journal of Shandong University. Natural Science 2 International Journal of Wavelets, Multiresolution and Information Processing 2 Communication on Applied Mathematics and Computation 2 East Asian Journal on Applied Mathematics 1 Applicable Analysis 1 Journal of Engineering Mathematics 1 Journal of the Korean Mathematical Society 1 Journal of Lanzhou University. Natural Sciences 1 Applied Mathematics and Mechanics. (English Edition) 1 Mathematical and Computer Modelling 1 International Journal of Computer Mathematics 1 Numerical Mathematics 1 Applied Mathematics. Series A (Chinese Edition) 1 Computational and Applied Mathematics 1 Mathematical Modelling and Analysis 1 Acta Mathematica Scientia. Series A. (Chinese Edition) 1 Journal of Applied Mathematics and Computing 1 Journal of Hubei University. Natural Science Edition 1 International Journal of Computational Methods 1 Inverse Problems and Imaging 1 São Paulo Journal of Mathematical Sciences 1 Chinese Journal of Engineering Mathematics 1 Journal of Nanchang University. Natural Science all top 5 Fields 81 Numerical analysis (65-XX) 76 Partial differential equations (35-XX) 9 Classical thermodynamics, heat transfer (80-XX) 7 Operator theory (47-XX) 6 Real functions (26-XX) 2 Functions of a complex variable (30-XX) 2 Information and communication theory, circuits (94-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Probability theory and stochastic processes (60-XX) 1 Mechanics of deformable solids (74-XX) 1 Fluid mechanics (76-XX) 1 Optics, electromagnetic theory (78-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 66 Publications have been cited 680 times in 386 Documents Cited by ▼ Year ▼ Fourier regularization for a backward heat equation. Zbl 1146.35420 Fu, Chu-Li; Xiong, Xiang-Tuan; Qian, Zhi 78 2007 Fourth-order modified method for the Cauchy problem for the Laplace equation. Zbl 1093.65107 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan 47 2006 Fourier regularization method for solving a Cauchy problem for the Laplace equation. Zbl 1258.65094 Fu, C.-L.; Li, H.-F.; Qian, Z.; Xiong, X.-T. 33 2008 Two numerical methods for solving a backward heat conduction problem. Zbl 1102.65098 Xiong, Xiang-Tuan; Fu, Chu-Li; Qian, Zhi 29 2006 An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization. Zbl 1245.35144 Xiong, Xiangtuan; Zhou, Qian; Hon, Y. C. 29 2012 A regularization method for a Cauchy problem of the Helmholtz equation. Zbl 1186.65127 Xiong, Xiang-Tuan 27 2010 Central difference regularization method for the Cauchy problem of the Laplace’s equation. Zbl 1148.65314 Xiong, Xiang-Tuan; Fu, Chu-Li 24 2006 On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation. Zbl 1185.65171 Qian, Ai-Lin; Xiong, Xiang-Tuan; Wu, Yu-Jiang 21 2010 Fourier truncation method for high order numerical derivatives. Zbl 1103.65023 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan; Wei, Ting 21 2006 An optimal method for fractional heat conduction problem backward in time. Zbl 1238.35179 Xiong, X. T.; Wang, J. X.; Li, M. 20 2012 An inverse problem for a fractional diffusion equation. Zbl 1247.65127 Xiong, Xiangtuan; Guo, Hongbo; Liu, Xiaohong 19 2012 Two approximate methods of a Cauchy problem for the Helmholtz equation. Zbl 1182.35237 Xiong, Xiang-Tuan; Fu, Chu-Li 18 2007 A modified iterative regularization method for ill-posed problems. Zbl 1375.65077 Xiong, Xiangtuan; Xue, Xuemin; Qian, Zhi 18 2017 Fourier regularization method of a sideways heat equation for determining surface heat flux. Zbl 1124.65083 Xiong, Xiang-Tuan; Fu, Chu-Li; Li, Hong-Fang 16 2006 A fractional Landweber method for solving backward time-fractional diffusion problem. Zbl 1442.65224 Han, Yaozong; Xiong, Xiangtuan; Xue, Xuemin 16 2019 A modified method for a non-standard inverse heat conduction problem. Zbl 1105.65097 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan 14 2006 Fourier regularization method for solving the surface heat flux from interior observations. Zbl 1122.80016 Fu, Chu-Li; Xiong, Xiang-Tuan; Fu, Peng 14 2005 A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation. Zbl 1428.35674 Xiong, Xiangtuan; Xue, Xuemin 13 2019 On a fractional backward heat conduction problem: application to deblurring. Zbl 1268.65127 Li, Ming; Xiong, Xiangtuan 13 2012 A modified method for determining the surface heat flux of IHCP. Zbl 1202.80017 Qian, Z.; Fu, C.-L.; Xiong, X.-T. 13 2007 Central difference schemes in time and error estimate on a non-standard inverse heat conduction problem. Zbl 1068.65117 Xiong, Xiangtuan; Fu, Chuli; Li, Hongfang 11 2004 Determining surface temperature and heat flux by a wavelet dual least squares method. Zbl 1113.65096 Xiong, Xiang-Tuan; Fu, Chu-Li 9 2007 A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain. Zbl 1275.65058 Xiong, Xiangtuan; Wang, Junxia 9 2012 Error estimates on a backward heat equation by a wavelet dual least squares method. Zbl 1154.65069 Xiong, Xiang-Tuan; Fu, Chu-Li 9 2007 Wavelet and spectral regularization methods for a sideways parabolic equation. Zbl 1068.65116 Fu, Chuli; Xiong, Xiangtuan; Li, Hongfang; Zhu, Youbin 8 2005 Two regularization methods and the order optimal error estimates for a sideways parabolic equation. Zbl 1077.80005 Fu, Peng; Fu, Chu-Li; Xiong, Xiang-Tuan; Li, Hong-Fang 8 2005 Regularization for a fractional sideways heat equation. Zbl 1291.65291 Li, Ming; Xi, Xiang-Xiang; Xiong, Xiang-Tuan 8 2014 Two numerical methods for a Cauchy problem for modified Helmholtz equation. Zbl 1228.65216 Xiong, Xiangtuan; Shi, Wanxia; Fan, Xiaoyan 7 2011 Some novel linear regularization methods for a deblurring problem. Zbl 1359.35235 Xiong, Xiangtuan; Li, Jinmei; Wen, Jin 7 2017 A backward identification problem for an axis-symmetric fractional diffusion equation. Zbl 1488.65387 Xiong, Xiangtuan; Ma, Xiaojun 7 2017 A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder. Zbl 07476512 Yang, Shuping; Xiong, Xiangtuan; Han, Yaozong 7 2020 Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations. Zbl 1092.65079 Xiong, Xiang-Tuan; Fu, Chu-Li; Li, Hong-Fang 6 2006 Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation. Zbl 1467.65090 Yang, Shuping; Xiong, Xiangtuan; Nie, Yan 6 2021 Fractional Tikhonov regularization method for a time-fractional backward heat equation with a fractional Laplacian. Zbl 1438.65216 Wang, Jianlin; Xiong, Xiangtuan; Cao, Xiaoxiao 6 2018 On three spectral regularization methods for a backward heat conduction problem. Zbl 1132.35494 Xiong, Xiang-Tuan; Fu, Chu-Li; Qian, Zhi 5 2007 A spectral regularization method for solving surface heat flux on a general sideways parabolic. Zbl 1140.65065 Xiong, Xiang-Tuan; Fu, Chu-Li 5 2008 Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain. Zbl 1308.65161 Xiong, X. T.; Hon, Y. C. 5 2013 Regularization methods for a problem of analytic continuation. Zbl 1250.65046 Xiong, Xiangtuan; Zhu, Liqin; Li, Ming 4 2011 Optimal Tikhonov approximation for a sideways parabolic equation. Zbl 1130.65313 Fu, Chu-Li; Li, Hong-Fang; Xiong, Xiang-Tuan; Fu, Peng 4 2005 Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory. Zbl 1162.65050 Xiong, Xiang-Tuan; Fu, Chu-Li; Cheng, Jin 4 2009 A numerical method for identifying heat transfer coefficient. Zbl 1193.80029 Xiong, Xiang-Tuan; Liu, Xiao-Hong; Yan, Yao-Mei; Guo, Hong-Bo 4 2010 A fractional-order quasi-reversibility method to a backward problem for the time fractional diffusion equation. Zbl 1475.65111 Shi, Wanxia; Xiong, Xiangtuan; Xue, Xuemin 4 2021 Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space. Zbl 1431.65160 Xiong, Xiangtuan; Xue, Xuemin 4 2020 Semidiscrete central difference method in time for determining surface temperatures. Zbl 1079.35101 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan 3 2005 An iterative method for an inverse source problem of a time-fractional diffusion equation. Zbl 1399.65224 Cheng, Qiang; Xiong, Xiangtuan 3 2017 On a radially symmetric inverse heat conduction problem. Zbl 1185.35338 Xiong, Xiang-Tuan 3 2010 A modified Lavrentiev iterative regularization method for analytic continuation. Zbl 1372.65088 Xiong, Xiangtuan; Cheng, Qiang 3 2018 Numerical solution of two-dimensional radially symmetric inverse heat conduction problem. Zbl 1515.35355 Qian, Zhi; Hon, Benny Y. C.; Xiong, Xiang Tuan 3 2015 Method of fundamental solution for an inverse heat conduction problem with variable coefficients. Zbl 1359.65181 Li, Ming; Xiong, Xiang-Tuan; Li, Yan 3 2013 A one-stage meshless method for nonhomogeneous Cauchy problems of elliptic partial differential equations with variable coefficients. Zbl 1367.65156 Xiong, Xiangtuan; Li, Ming; Wang, M. Q. 3 2013 A one-dimensional inverse problem in composite materials: regularization and error estimates. Zbl 1443.74130 Xiong, X. T.; Shi, W. X.; Hon, Y. C. 3 2015 A modified regularization method for a Cauchy problem for heat equation on a two-layer sphere domain. Zbl 1410.35054 Xiong, Xiangtuan; Cao, Xiaoxiao; He, Shumei; Wen, Jin 3 2016 Source identification problems for radially symmetric and axis-symmetric heat conduction equations. Zbl 1432.65137 Amin, Mohammed Elmustafa; Xiong, Xiangtuan 3 2019 A fractional Tikhonov regularisation method for finding source terms in a time-fractional radial heat equation. Zbl 1462.35455 Yang, Shuping; Xiong, Xiangtuan 3 2019 A modified quasi-boundary value method for a backward problem for the inhomogeneous time conformable fractional heat equation in a cylinder. Zbl 07479286 Yang, Shuping; Xue, Xuemin; Xiong, Xiangtuan 3 2021 Spectral method for ill-posed problems based on the balancing principle. Zbl 1335.35289 Xiong, Xiangtuan; Fan, Xiaoyan; Li, Ming 2 2015 On Picard-SHSS iteration method for absolute value equation. Zbl 1484.65061 Miao, Shu-Xin; Xiong, Xiang-Tuan; Wen, Jin 2 2021 Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation. Zbl 1273.65151 Xiong, Xiangtuan; Zhao, Xiaochen; Wang, Junxia 2 2013 Error estimates of a difference approximation method for a backward heat conduction problem. Zbl 1131.65082 Xiong, Xiang-Tuan; Fu, Chu-Li; Qian, Zhi; Gao, Xiang 1 2006 Stability estimate and the modified regularization method for a Cauchy problem of the fractional diffusion equation. Zbl 1294.65090 Xiong, Xiangtuan; Zhao, Liping; Hon, Y. C. 1 2014 An inverse diffraction problem: shape reconstruction. Zbl 1478.65108 Kong, Yanfeng; Li, Zhenping; Xiong, Xiangtuan 1 2015 Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation. Zbl 1487.65144 Yang, Shuping; Xiong, Xiangtuan; Pan, Ping; Sun, Yue 1 2022 On an iterative fractional Tikhonov-Landweber method for ill-posed problems. Zbl 1492.65152 Xiong, Xiangtuan; Li, Zhenping; Li, Jun 1 2022 A simplified relaxed alternating positive semi-definite splitting preconditioner for saddle point problems with three-by-three block structure. Zbl 07734330 Xiong, Xiangtuan; Li, Jun 1 2023 A wavelet method for numerical fractional derivative with noisy data. Zbl 1351.65016 Xiong, Xiangtuan; Cheng, Qiang; Kong, Yanfeng; Wen, Jin 1 2016 On a weighted time-fractional asymptotical regularization method. Zbl 1524.65215 Xiong, Xiangtuan; Xue, Xuemin; Li, Zhenping 1 2021 A simplified relaxed alternating positive semi-definite splitting preconditioner for saddle point problems with three-by-three block structure. Zbl 07734330 Xiong, Xiangtuan; Li, Jun 1 2023 Stationary iterated weighted Tikhonov regularization method for identifying an unknown source term of time-fractional radial heat equation. Zbl 1487.65144 Yang, Shuping; Xiong, Xiangtuan; Pan, Ping; Sun, Yue 1 2022 On an iterative fractional Tikhonov-Landweber method for ill-posed problems. Zbl 1492.65152 Xiong, Xiangtuan; Li, Zhenping; Li, Jun 1 2022 Iterated fractional Tikhonov regularization method for solving the spherically symmetric backward time-fractional diffusion equation. Zbl 1467.65090 Yang, Shuping; Xiong, Xiangtuan; Nie, Yan 6 2021 A fractional-order quasi-reversibility method to a backward problem for the time fractional diffusion equation. Zbl 1475.65111 Shi, Wanxia; Xiong, Xiangtuan; Xue, Xuemin 4 2021 A modified quasi-boundary value method for a backward problem for the inhomogeneous time conformable fractional heat equation in a cylinder. Zbl 07479286 Yang, Shuping; Xue, Xuemin; Xiong, Xiangtuan 3 2021 On Picard-SHSS iteration method for absolute value equation. Zbl 1484.65061 Miao, Shu-Xin; Xiong, Xiang-Tuan; Wen, Jin 2 2021 On a weighted time-fractional asymptotical regularization method. Zbl 1524.65215 Xiong, Xiangtuan; Xue, Xuemin; Li, Zhenping 1 2021 A modified fractional Landweber method for a backward problem for the inhomogeneous time-fractional diffusion equation in a cylinder. Zbl 07476512 Yang, Shuping; Xiong, Xiangtuan; Han, Yaozong 7 2020 Fractional Tikhonov method for an inverse time-fractional diffusion problem in 2-dimensional space. Zbl 1431.65160 Xiong, Xiangtuan; Xue, Xuemin 4 2020 A fractional Landweber method for solving backward time-fractional diffusion problem. Zbl 1442.65224 Han, Yaozong; Xiong, Xiangtuan; Xue, Xuemin 16 2019 A fractional Tikhonov regularization method for identifying a space-dependent source in the time-fractional diffusion equation. Zbl 1428.35674 Xiong, Xiangtuan; Xue, Xuemin 13 2019 Source identification problems for radially symmetric and axis-symmetric heat conduction equations. Zbl 1432.65137 Amin, Mohammed Elmustafa; Xiong, Xiangtuan 3 2019 A fractional Tikhonov regularisation method for finding source terms in a time-fractional radial heat equation. Zbl 1462.35455 Yang, Shuping; Xiong, Xiangtuan 3 2019 Fractional Tikhonov regularization method for a time-fractional backward heat equation with a fractional Laplacian. Zbl 1438.65216 Wang, Jianlin; Xiong, Xiangtuan; Cao, Xiaoxiao 6 2018 A modified Lavrentiev iterative regularization method for analytic continuation. Zbl 1372.65088 Xiong, Xiangtuan; Cheng, Qiang 3 2018 A modified iterative regularization method for ill-posed problems. Zbl 1375.65077 Xiong, Xiangtuan; Xue, Xuemin; Qian, Zhi 18 2017 Some novel linear regularization methods for a deblurring problem. Zbl 1359.35235 Xiong, Xiangtuan; Li, Jinmei; Wen, Jin 7 2017 A backward identification problem for an axis-symmetric fractional diffusion equation. Zbl 1488.65387 Xiong, Xiangtuan; Ma, Xiaojun 7 2017 An iterative method for an inverse source problem of a time-fractional diffusion equation. Zbl 1399.65224 Cheng, Qiang; Xiong, Xiangtuan 3 2017 A modified regularization method for a Cauchy problem for heat equation on a two-layer sphere domain. Zbl 1410.35054 Xiong, Xiangtuan; Cao, Xiaoxiao; He, Shumei; Wen, Jin 3 2016 A wavelet method for numerical fractional derivative with noisy data. Zbl 1351.65016 Xiong, Xiangtuan; Cheng, Qiang; Kong, Yanfeng; Wen, Jin 1 2016 Numerical solution of two-dimensional radially symmetric inverse heat conduction problem. Zbl 1515.35355 Qian, Zhi; Hon, Benny Y. C.; Xiong, Xiang Tuan 3 2015 A one-dimensional inverse problem in composite materials: regularization and error estimates. Zbl 1443.74130 Xiong, X. T.; Shi, W. X.; Hon, Y. C. 3 2015 Spectral method for ill-posed problems based on the balancing principle. Zbl 1335.35289 Xiong, Xiangtuan; Fan, Xiaoyan; Li, Ming 2 2015 An inverse diffraction problem: shape reconstruction. Zbl 1478.65108 Kong, Yanfeng; Li, Zhenping; Xiong, Xiangtuan 1 2015 Regularization for a fractional sideways heat equation. Zbl 1291.65291 Li, Ming; Xi, Xiang-Xiang; Xiong, Xiang-Tuan 8 2014 Stability estimate and the modified regularization method for a Cauchy problem of the fractional diffusion equation. Zbl 1294.65090 Xiong, Xiangtuan; Zhao, Liping; Hon, Y. C. 1 2014 Regularization error analysis on a one-dimensional inverse heat conduction problem in multilayer domain. Zbl 1308.65161 Xiong, X. T.; Hon, Y. C. 5 2013 Method of fundamental solution for an inverse heat conduction problem with variable coefficients. Zbl 1359.65181 Li, Ming; Xiong, Xiang-Tuan; Li, Yan 3 2013 A one-stage meshless method for nonhomogeneous Cauchy problems of elliptic partial differential equations with variable coefficients. Zbl 1367.65156 Xiong, Xiangtuan; Li, Ming; Wang, M. Q. 3 2013 Spectral Galerkin method and its application to a Cauchy problem of Helmholtz equation. Zbl 1273.65151 Xiong, Xiangtuan; Zhao, Xiaochen; Wang, Junxia 2 2013 An inverse problem for fractional diffusion equation in 2-dimensional case: stability analysis and regularization. Zbl 1245.35144 Xiong, Xiangtuan; Zhou, Qian; Hon, Y. C. 29 2012 An optimal method for fractional heat conduction problem backward in time. Zbl 1238.35179 Xiong, X. T.; Wang, J. X.; Li, M. 20 2012 An inverse problem for a fractional diffusion equation. Zbl 1247.65127 Xiong, Xiangtuan; Guo, Hongbo; Liu, Xiaohong 19 2012 On a fractional backward heat conduction problem: application to deblurring. Zbl 1268.65127 Li, Ming; Xiong, Xiangtuan 13 2012 A Tikhonov-type method for solving a multidimensional inverse heat source problem in an unbounded domain. Zbl 1275.65058 Xiong, Xiangtuan; Wang, Junxia 9 2012 Two numerical methods for a Cauchy problem for modified Helmholtz equation. Zbl 1228.65216 Xiong, Xiangtuan; Shi, Wanxia; Fan, Xiaoyan 7 2011 Regularization methods for a problem of analytic continuation. Zbl 1250.65046 Xiong, Xiangtuan; Zhu, Liqin; Li, Ming 4 2011 A regularization method for a Cauchy problem of the Helmholtz equation. Zbl 1186.65127 Xiong, Xiang-Tuan 27 2010 On a quasi-reversibility regularization method for a Cauchy problem of the Helmholtz equation. Zbl 1185.65171 Qian, Ai-Lin; Xiong, Xiang-Tuan; Wu, Yu-Jiang 21 2010 A numerical method for identifying heat transfer coefficient. Zbl 1193.80029 Xiong, Xiang-Tuan; Liu, Xiao-Hong; Yan, Yao-Mei; Guo, Hong-Bo 4 2010 On a radially symmetric inverse heat conduction problem. Zbl 1185.35338 Xiong, Xiang-Tuan 3 2010 Spectral regularization methods for solving a sideways parabolic equation within the framework of regularization theory. Zbl 1162.65050 Xiong, Xiang-Tuan; Fu, Chu-Li; Cheng, Jin 4 2009 Fourier regularization method for solving a Cauchy problem for the Laplace equation. Zbl 1258.65094 Fu, C.-L.; Li, H.-F.; Qian, Z.; Xiong, X.-T. 33 2008 A spectral regularization method for solving surface heat flux on a general sideways parabolic. Zbl 1140.65065 Xiong, Xiang-Tuan; Fu, Chu-Li 5 2008 Fourier regularization for a backward heat equation. Zbl 1146.35420 Fu, Chu-Li; Xiong, Xiang-Tuan; Qian, Zhi 78 2007 Two approximate methods of a Cauchy problem for the Helmholtz equation. Zbl 1182.35237 Xiong, Xiang-Tuan; Fu, Chu-Li 18 2007 A modified method for determining the surface heat flux of IHCP. Zbl 1202.80017 Qian, Z.; Fu, C.-L.; Xiong, X.-T. 13 2007 Determining surface temperature and heat flux by a wavelet dual least squares method. Zbl 1113.65096 Xiong, Xiang-Tuan; Fu, Chu-Li 9 2007 Error estimates on a backward heat equation by a wavelet dual least squares method. Zbl 1154.65069 Xiong, Xiang-Tuan; Fu, Chu-Li 9 2007 On three spectral regularization methods for a backward heat conduction problem. Zbl 1132.35494 Xiong, Xiang-Tuan; Fu, Chu-Li; Qian, Zhi 5 2007 Fourth-order modified method for the Cauchy problem for the Laplace equation. Zbl 1093.65107 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan 47 2006 Two numerical methods for solving a backward heat conduction problem. Zbl 1102.65098 Xiong, Xiang-Tuan; Fu, Chu-Li; Qian, Zhi 29 2006 Central difference regularization method for the Cauchy problem of the Laplace’s equation. Zbl 1148.65314 Xiong, Xiang-Tuan; Fu, Chu-Li 24 2006 Fourier truncation method for high order numerical derivatives. Zbl 1103.65023 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan; Wei, Ting 21 2006 Fourier regularization method of a sideways heat equation for determining surface heat flux. Zbl 1124.65083 Xiong, Xiang-Tuan; Fu, Chu-Li; Li, Hong-Fang 16 2006 A modified method for a non-standard inverse heat conduction problem. Zbl 1105.65097 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan 14 2006 Central difference method of a nonstandard inverse heat conduction problem for determining surface heat flux from interior observations. Zbl 1092.65079 Xiong, Xiang-Tuan; Fu, Chu-Li; Li, Hong-Fang 6 2006 Error estimates of a difference approximation method for a backward heat conduction problem. Zbl 1131.65082 Xiong, Xiang-Tuan; Fu, Chu-Li; Qian, Zhi; Gao, Xiang 1 2006 Fourier regularization method for solving the surface heat flux from interior observations. Zbl 1122.80016 Fu, Chu-Li; Xiong, Xiang-Tuan; Fu, Peng 14 2005 Wavelet and spectral regularization methods for a sideways parabolic equation. Zbl 1068.65116 Fu, Chuli; Xiong, Xiangtuan; Li, Hongfang; Zhu, Youbin 8 2005 Two regularization methods and the order optimal error estimates for a sideways parabolic equation. Zbl 1077.80005 Fu, Peng; Fu, Chu-Li; Xiong, Xiang-Tuan; Li, Hong-Fang 8 2005 Optimal Tikhonov approximation for a sideways parabolic equation. Zbl 1130.65313 Fu, Chu-Li; Li, Hong-Fang; Xiong, Xiang-Tuan; Fu, Peng 4 2005 Semidiscrete central difference method in time for determining surface temperatures. Zbl 1079.35101 Qian, Zhi; Fu, Chu-Li; Xiong, Xiang-Tuan 3 2005 Central difference schemes in time and error estimate on a non-standard inverse heat conduction problem. Zbl 1068.65117 Xiong, Xiangtuan; Fu, Chuli; Li, Hongfang 11 2004 all cited Publications top 5 cited Publications all top 5 Cited by 474 Authors 42 Xiong, Xiangtuan 41 Fu, Chuli 34 Yang, Fan 27 Li, Xiaoxiao 27 Nguyen Huy Tuan 18 Qian, Zhi 15 Wei, Ting 13 Cheng, Hao 12 Feng, Xiaoli 12 Liu, Chein-Shan 12 Trong, Dang Duc 9 Cheng, Wei 9 Long, Le Dinh 9 Xue, Xuemin 7 Hon, Yiu-Chung 7 Li, Zhenping 7 Liu, Songshu 7 Ma, Yunjie 7 Zhang, Hongwu 7 Zhang, Yuanxiang 6 Li, Hongfang 6 O’Regan, Donal 6 Qian, Ai-Lin 6 Wen, Jin 6 Zhao, Zhenyu 5 Karimi, Milad 5 Khanh, Tra Quoc 5 Li, Ming 5 Meng, Zehong 5 Ruan, Zhousheng 5 Wang, Fajie 5 Wang, Zewen 5 Yang, Shuping 4 Băleanu, Dumitru I. 4 Feng, Lixin 4 Laleg-Kirati, Taous-Meriem 4 Lesnic, Daniel 4 Liu, Ji-Chuan 4 Luan, Tran Nhat 4 Mehra, Mani 4 Ngo Van Hoa 4 Qin, Haihua 4 Quan, Pham Hoang 4 Shi, Chengxin 4 Shukla, Ankita 4 Solodky, Sergiy G. 4 Zheng, Guanghui 3 Aldoghaither, Abeer 3 Can, Nguyen Huu 3 Cao, Kai 3 Chang, Chih-Wen 3 Cheng, Xiaoliang 3 Dou, Fangfang 3 Ellabib, Abdellatif 3 Gong, Rongfang 3 Huang, Canyun 3 Huynh, Le Nhat 3 Li, Dungang 3 Liu, Zhuan-Xia 3 Luc, Nguyen Hoang 3 Nachaoui, Abdeljalil 3 Ngoc, Tran Bao 3 Pham Hoang Quan 3 Shi, Wanxia 3 Shivanian, Elyas 3 Stasyuk, Serhii A. 3 Tran, Binh Thanh 3 Vo Anh Khoa 3 Wang, Jinru 3 Wu, Yujiang 3 Yang, Fenglian 3 Zhang, Wen 3 Zhang, Xiaoju 3 Zhao, Jingjun 2 Abbasbandy, Saeid 2 Alem, Leïla 2 Azaïez, Mejdi 2 Azari, Hossein 2 Benrabah, Abderafik 2 Berntsson, Fredrik 2 Boussetila, Nadjib 2 Brociek, Rafał 2 Chorfi, Lahcène 2 Cui, Minggen 2 Daripa, Prabir K. 2 Dien, Nguyen Minh 2 Du, Hong 2 Duc, Nguyen Van 2 Durdiev, Durdimurod Kalandarovich 2 Fan, Ping 2 Fan, Xiaoyan 2 Floridia, Giuseppe 2 Fu, Jun-Liang 2 Fu, Peng 2 Geng, Xiaoxiao 2 Gu, Yan 2 Guo, Hengzhen 2 Hajipour, Mojtaba 2 Han, Weimin 2 Han, Xu ...and 374 more Authors all top 5 Cited in 109 Serials 39 Inverse Problems in Science and Engineering 23 Applied Mathematics and Computation 23 Journal of Computational and Applied Mathematics 20 Applied Mathematical Modelling 15 Journal of Inverse and Ill-Posed Problems 14 Computers & Mathematics with Applications 12 Applicable Analysis 12 Engineering Analysis with Boundary Elements 10 Boundary Value Problems 9 Numerical Algorithms 9 International Journal of Computer Mathematics 9 Computational and Applied Mathematics 9 Advances in Difference Equations 8 Applied Numerical Mathematics 7 Journal of Mathematical Analysis and Applications 7 Mathematical Methods in the Applied Sciences 7 Mathematics and Computers in Simulation 6 Applied Mathematics Letters 5 Journal of Inequalities and Applications 5 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 5 Journal of Applied Mathematics and Computing 4 Inverse Problems 4 Nonlinear Analysis. Real World Applications 4 AIMS Mathematics 3 Calcolo 3 Numerical Functional Analysis and Optimization 3 Advances in Computational Mathematics 3 Acta Mathematica Sinica. English Series 3 Communications in Nonlinear Science and Numerical Simulation 3 Computational Methods in Applied Mathematics 3 Complex Variables and Elliptic Equations 3 East Asian Journal on Applied Mathematics 2 International Journal of Heat and Mass Transfer 2 Journal of Differential Equations 2 Computational Mechanics 2 Mathematical and Computer Modelling 2 Journal of Scientific Computing 2 Applications of Mathematics 2 Abstract and Applied Analysis 2 Mathematical Modelling and Analysis 2 Journal of Applied Mathematics 2 International Journal of Computational Methods 2 Inverse Problems and Imaging 2 Discrete and Continuous Dynamical Systems. Series S 2 International Journal of Differential Equations 2 ISRN Mathematical Analysis 2 Journal of Function Spaces 2 Open Mathematics 1 International Journal of Modern Physics B 1 Bulletin of the Australian Mathematical Society 1 Journal of Computational Physics 1 Journal of Engineering Mathematics 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Chaos, Solitons and Fractals 1 Acta Mathematica Vietnamica 1 Czechoslovak Mathematical Journal 1 International Journal of Mathematics and Mathematical Sciences 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 SIAM Journal on Control and Optimization 1 SIAM Journal on Numerical Analysis 1 Applied Mathematics and Mechanics. (English Edition) 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Computational Mathematics 1 Statistics 1 Journal of Complexity 1 Numerical Methods for Partial Differential Equations 1 Journal of Integral Equations and Applications 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Japan Journal of Industrial and Applied Mathematics 1 Computational Mathematics and Mathematical Physics 1 SIAM Journal on Mathematical Analysis 1 Journal of Partial Differential Equations 1 Journal of Mathematical Imaging and Vision 1 Russian Mathematics 1 SIAM Journal on Scientific Computing 1 Applied Mathematics. Series B (English Edition) 1 Turkish Journal of Mathematics 1 ETNA. Electronic Transactions on Numerical Analysis 1 Integral Transforms and Special Functions 1 Complexity 1 Mathematical Problems in Engineering 1 Taiwanese Journal of Mathematics 1 Sibirskiĭ Zhurnal Vychislitel’noĭ Matematiki 1 Communications of the Korean Mathematical Society 1 Lobachevskii Journal of Mathematics 1 Differential Equations 1 Proceedings of the National Academy of Sciences, India. Section A. Physical Sciences 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Analysis in Theory and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica. New Series 1 Mathematics in Computer Science 1 Journal of Fixed Point Theory and Applications 1 Communications in Computational Physics 1 Mathematical Modelling of Natural Phenomena 1 Tbilisi Mathematical Journal 1 São Paulo Journal of Mathematical Sciences 1 Advances in Mathematical Physics ...and 9 more Serials all top 5 Cited in 31 Fields 297 Partial differential equations (35-XX) 280 Numerical analysis (65-XX) 61 Operator theory (47-XX) 37 Classical thermodynamics, heat transfer (80-XX) 20 Real functions (26-XX) 11 Harmonic analysis on Euclidean spaces (42-XX) 10 Mechanics of deformable solids (74-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Ordinary differential equations (34-XX) 8 Integral equations (45-XX) 7 Probability theory and stochastic processes (60-XX) 7 Systems theory; control (93-XX) 6 Potential theory (31-XX) 5 Fluid mechanics (76-XX) 5 Information and communication theory, circuits (94-XX) 4 Approximations and expansions (41-XX) 4 Statistics (62-XX) 3 Integral transforms, operational calculus (44-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Functional analysis (46-XX) 2 Global analysis, analysis on manifolds (58-XX) 2 Geophysics (86-XX) 2 Biology and other natural sciences (92-XX) 1 Number theory (11-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Differential geometry (53-XX) 1 Computer science (68-XX) 1 Relativity and gravitational theory (83-XX) 1 Operations research, mathematical programming (90-XX) Citations by Year