Edit Profile (opens in new tab) Trong, Dang Duc Co-Author Distance Author ID: trong.dang-duc Published as: Trong, Dang Duc; Dang Duc Trong; Trong, D. D. more...less Documents Indexed: 122 Publications since 1994, including 1 Book and 7 Additional arXiv Preprints Co-Authors: 67 Co-Authors with 120 Joint Publications 727 Co-Co-Authors all top 5 Co-Authors 2 single-authored 38 Nguyen Huy Tuan 23 Quan, Pham Hoang 16 Ang, Dang Dinh 9 Minh, Nguyen Dang 8 Dien, Nguyen Minh 8 Hai, Dinh Nguyen Duy 8 Phan Thành Nam 7 Pham Ngoc Dinh, Alain 6 Dinh Ngoc Thanh 6 Pham Hoang Quan 6 Viet, Tran Quoc 5 Phuong, Cao Xuan 5 Truong Trung Tuyen 5 Yamamoto, Masahiro 4 Tuyen, Truong Trung 3 Mach Nguyet Minh 3 Nane, Erkan 3 Nguyen Nhu Lan 3 Nguyen Vu Huy 3 Triet, Le Minh 2 Duy, Bui Thanh 2 Gorenflo, Rudolf 2 Lan, Nguyen Nhu 2 Le Minh Triet 2 Le, Vy Khoi 2 Lien, T. N. 2 Matsuura, Tsutomu 2 Nguyen van Nhan 2 Nguyen, Ton That Quang 2 Nhung, Nguyen Thi Hong 2 Saitoh, Saburou 2 Tran Ngoc Lien 1 Alain, P. N. Dinh 1 Cao Xuan Phuong 1 Dinh Alain, Pham Ngoc 1 Dinh Nguyen Duy Hai 1 Hung, Thai Phuc 1 Ikehata, Masaru 1 Khanh, To Duc 1 Trần Vũ Khanh 1 Khoa, Vo Dang 1 Le Duc Thang 1 Le Quang Nam 1 Mennicken, Reinhard 1 Nguyen Dang Minh 1 Nguyen Dinh Tri 1 Nguyen Do Minh Nhat 1 Nguyen Dung 1 Nguyen Le Luc 1 Nguyen Minh Dien 1 Nguyen Thanh Long 1 Nguyen Thi Mong Ngoc 1 Nguyen, Dang Minh 1 Nguyen, Nhu Lan 1 Nguyen, Thanh-Hieu 1 Nhat, Nguyen Do Minh 1 Pham Hoang Uyen 1 Pham Quan Hoang 1 Phùng Trọng Thực 1 Thanh, Duong Dang Xuan 1 Thanh, Nguyen Hoang 1 Thong, Ta Hoang 1 To Duc, Khanh 1 Tran Thi Le 1 Trinh Anh Ngoc 1 Vo Anh Khoa 1 Vo, Hoang-Hung all top 5 Serials 9 Vietnam Journal of Mathematics 7 Applicable Analysis 7 Acta Mathematica Vietnamica 7 Applied Mathematics and Computation 7 Zeitschrift für Analysis und ihre Anwendungen 6 Electronic Journal of Differential Equations (EJDE) 6 Journal of Inverse and Ill-Posed Problems 4 Computers & Mathematics with Applications 4 Journal of Computational and Applied Mathematics 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 3 Journal of Mathematical Analysis and Applications 3 Numerical Functional Analysis and Optimization 3 Communications in Statistics. Theory and Methods 3 Inverse Problems in Science and Engineering 2 Mathematical Methods in the Applied Sciences 2 Nonlinear Analysis. Real World Applications 2 Acta Universitatis Apulensis. Mathematics - Informatics 1 Inverse Problems 1 Matimyás Matematika 1 Chaos, Solitons and Fractals 1 Czechoslovak Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Statistical Planning and Inference 1 Mathematische Nachrichten 1 Results in Mathematics 1 Complex Variables. Theory and Application 1 Statistics & Probability Letters 1 Statistics 1 Applied Mathematics Letters 1 Applied Mathematical Modelling 1 Communications in Partial Differential Equations 1 Communications in Statistics. Simulation and Computation 1 Journal of Elasticity 1 Fractals 1 Filomat 1 Analele Științifice ale Universității “Ovidius” Constanța. Seria: Matematică 1 Journal of Inequalities and Applications 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Fractional Calculus & Applied Analysis 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Miskolc Mathematical Notes 1 International Journal of Evolution Equations 1 Sarajevo Journal of Mathematics 1 Complex Variables and Elliptic Equations 1 Lecture Notes in Mathematics 1 Journal of Statistical Theory and Practice 1 Asian-European Journal of Mathematics 1 Applied and Computational Mathematics 1 ROMAI Journal all top 5 Fields 92 Partial differential equations (35-XX) 39 Numerical analysis (65-XX) 31 Operator theory (47-XX) 13 Statistics (62-XX) 11 Functions of a complex variable (30-XX) 9 Mechanics of deformable solids (74-XX) 8 Integral transforms, operational calculus (44-XX) 7 Potential theory (31-XX) 6 Real functions (26-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 2 Special functions (33-XX) 2 Probability theory and stochastic processes (60-XX) 2 Geophysics (86-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Ordinary differential equations (34-XX) 1 Approximations and expansions (41-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Fluid mechanics (76-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 86 Publications have been cited 640 times in 374 Documents Cited by ▼ Year ▼ Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term. Zbl 1087.35095 Dang Duc Trong; Nguyen Thanh Long; Pham Ngoc Dinh Alain 41 2005 A nonlinear case of the 1-D backward heat problem: regularization and error estimate. Zbl 1246.35104 Trong, Dang Duc; Quan, Pham Hoang; Khanh, Tran Vu; Tuan, Nguyen Huy 33 2007 Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072 Matsuura, T.; Saitoh, S.; Trong, D. D. 29 2005 Regularization and error estimates for nonhomogeneous backward heat problems. Zbl 1091.35114 Trong, Dang Duc; Tuan, Nguyen Huy 27 2006 Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation. Zbl 1172.35517 Trong, Dang Duc; Tuan, Nguyen Huy 25 2009 Unique continuation for a stationary isotropic Lamé system with variable coefficients. Zbl 0892.35054 Dang Ding Ang; Ikehata, Masaru; Dang Duc Trong; Yamamoto, Masahiro 24 1998 Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems. Zbl 1171.35485 Trong, Dang Duc; Tuan, Nguyen Huy 22 2008 Determination of a two-dimensional heat source: uniqueness, regularization and error estimate. Zbl 1096.65097 Trong, D. D.; Quan, P. H.; Dinh Alain, P. N. 21 2006 A nonhomogeneous backward heat problem: regularization and error estimates. Zbl 1171.35488 Dang Duc Trong; Nguyen Huy Tuan 20 2008 Moment theory and some inverse problems in potential theory and heat conduction. Zbl 1005.30025 Ang, Dang Dinh; Gorenflo, Rudolf; Le, Vy Khoi; Trong, Dang Duc 19 2002 The truncation method for a two-dimensional nonhomogeneous backward heat problem. Zbl 1197.65131 Phan Thanh Nam; Dang Duc Trong; Nguyen Huy Tuan 19 2010 On a backward parabolic problem with local Lipschitz source. Zbl 1310.35242 Tuan, Nguyen Huy; Trong, Dang Duc 18 2014 A note on a Cauchy problem for the Laplace equation: Regularization and error estimates. Zbl 1206.65225 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 18 2010 A nonlinearly backward heat problem: uniqueness, regularization and error estimate. Zbl 1099.35045 Quan, Pham Hoang; Trong, Dang Duc 16 2006 A nonlinear parabolic equation backward in time: regularization with new error estimates. Zbl 1196.35225 Tuan, Nguyen Huy; Trong, Dang Duc 16 2010 A two-dimensional backward heat problem with statistical discrete data. Zbl 1382.35120 Minh, Nguyen Dang; To Duc, Khanh; Tuan, Nguyen Huy; Trong, Dang Duc 14 2018 A backward parabolic equation with a time-dependent coefficient: regularization and error estimates. Zbl 1263.65091 Le Minh Triet; Pham Quan Hoang; Dang Duc Trong; Nguyen Tuan Huy 12 2013 A modified quasi-boundary value method for regularizing of a backward problem with time-dependent coefficient. Zbl 1227.65089 Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh; Tuan, Nguyen Huy 12 2011 A new regularized method for two dimensional nonhomogeneous backward heat problem. Zbl 1180.65119 Tuan, Nguyen Huy; Trong, Dang Duc 11 2009 A multi-dimensional Hausdorff moment problems regularization by finite moments. Zbl 0921.65089 Ang, D. D.; Gorenflo, R.; Trong, D. D. 10 1999 A quasi-boundary value method for regularizing nonlinear ill-posed problems. Zbl 1178.35374 Trong, Dang Duc; Quan, Pham Hoang; Tuan, Nguyen Huy 10 2009 Stability of solutions of a class of nonlinear fractional Laplacian parabolic problems. Zbl 1419.35228 Viet, Tran Quoc; Dien, Nguyen Minh; Trong, Dang Duc 10 2019 Coefficient identification for a parabolic equation. Zbl 0805.35159 Trong, D. D.; Ang, D. D. 9 1994 Backward heat equations with locally Lipschitz source. Zbl 1331.35393 Trong, Dang Duc; Duy, Bui Thanh; Minh, Mach Nguyet 9 2015 Approximation of mild solutions of the linear and nonlinear elliptic equations. Zbl 1326.65148 Nguyen Huy Tuan; Le Duc Thang; Dang Duc Trong; Vo Anh Khoa 8 2015 On a time-space fractional backward diffusion problem with inexact orders. Zbl 1442.35527 Trong, Dang Duc; Hai, Dinh Nguyen Duy; Dien, Nguyen Minh 8 2019 Unique continuation and identification of boundary of an elastic body. Zbl 0865.35141 Dang Ding Ang; Dang Duc Trong; Yamamoto, Masahiro 7 1996 Determine the special term of a two-dimensional heat source. Zbl 1172.35409 Dang Duc Trong; Pham Ngoc Dinh, Alain; Phan Thanh Nam 7 2009 Optimal regularization for an unknown source of space-fractional diffusion equation. Zbl 1429.65221 Trong, Dang Duc; Hai, Dinh Nguyen Duy; Nguyen, Dang Minh 7 2019 Sharp estimates for approximations to a nonlinear backward heat equation. Zbl 1200.35317 Tuan, Nguyen Huy; Trong, Dang Duc 7 2010 On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: regularization and error estimates. Zbl 1295.35384 Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh 6 2014 Global solution of space-fractional diffusion equations with nonlinear reaction source terms. Zbl 1450.35281 Trong, Dang Duc; Dien, Nguyen Minh; Viet, Tran Quoc 6 2020 On a backward Cauchy problem associated with continuous spectrum operator. Zbl 1197.35306 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 6 2010 Two regularization methods for backward heat problems with new error estimates. Zbl 1219.35370 Tuan, Nguyen Huy; Trong, Dang Duc 5 2011 A simple regularization method for the ill-posed evolution equation. Zbl 1224.35165 Tuan, Nguyen Huy; Trong, Dang Duc 5 2011 A new version of quasi-boundary value method for a 1-D nonlinear ill-posed heat problem. Zbl 1184.35311 Quan, P. H.; Trong, D. D.; Tuan, N. H. 5 2009 Identification of cavities in a three-dimensional elastic body. Zbl 1053.35127 Dang Duc Trong; Dang Dinh Ang 5 2004 Deconvolution of \(\mathbb{P}(X<Y)\) with compactly supported error densities. Zbl 1360.62139 Trong, Dang Duc; Nguyen, Ton That Quang; Phuong, Cao Xuan 5 2017 On Tikhonov’s method and optimal error bound for inverse source problem for a time-fractional diffusion equation. Zbl 1445.35328 Dien, Nguyen Minh; Hai, Dinh Nguyen Duy; Viet, Tran Quoc; Trong, Dang Duc 5 2020 On a backward heat problem with time-dependent coefficient: regularization and error estimates. Zbl 1273.65133 Tuan, Nguyen Huy; Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh 5 2013 Numerical solutions of the Poisson equation. Zbl 1065.31004 Matsuura, T.; Saitoh, S.; Trong, D. D. 4 2004 A Riesz-Feller space-fractional backward diffusion problem with a time-dependent coefficient: regularization and error estimates. Zbl 1372.35347 Tuan, Nguyen Huy; Trong, Dang Duc; Hai, Dinh Nguyen Duy; Thanh, Duong Dang Xuan 4 2017 Nonparametric regression in a statistical modified Helmholtz equation using the Fourier spectral regularization. Zbl 1367.62128 Trong, Dang Duc; Khanh, To Duc; Tuan, Nguyen Huy; Minh, Nguyen Dang 4 2015 Deconvolution of a cumulative distribution function with some non-standard noise densities. Zbl 1429.62134 Trong, Dang Duc; Phuong, Cao Xuan 4 2019 Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders. Zbl 1503.35255 Dien, Nguyen Minh; Nane, Erkan; Minh, Nguyen Dang; Trong, Dang Duc 4 2022 The backward problem for a nonlinear Riesz-Feller diffusion equation. Zbl 1395.65058 Dinh Nguyen Duy Hai; Dang Duc Trong 4 2018 A new regularization method for a class of ill-posed Cauchy problems. Zbl 1236.35200 Nguyen Huy Tuan; Dang Duc Trong; Pham Hoang Quan 3 2010 Identification of cavities inside two-dimensional heterogeneous isotropic elastic bodies. Zbl 0959.74023 Ang, Dang Dinh; Trong, Dang Duc; Yamamoto, Masahiro 3 1999 Notes on a new approximate solution of 2-D heat equation backward in time. Zbl 1228.65186 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 3 2011 A Hausdorff-like moment problem and the inversion of the Laplace transform. Zbl 1103.65133 Nguyen Dung; Nguyen Vu Huy; Pham Hoang Quan; Dang Duc Trong 3 2006 Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method. Zbl 1178.35375 Trong, Dang Duc; Tuan, Nguyen Huy 3 2009 Tikhonov’s regularization to the deconvolution problem. Zbl 1305.62155 Dang Duc Trong; Cao Xuan Phuong; Truong Trung Tuyen; Dinh Ngoc Thanh 3 2014 Sinc approximation of the heat distribution on the boundary of a two-dimensional finite slab. Zbl 1146.35376 Dinh Alain, P. N.; Quan, P. H.; Trong, D. D. 3 2008 Ridge-parameter regularization to deconvolution problem with unknown error distribution. Zbl 1328.62154 Trong, Dang Duc; Phuong, Cao Xuan 3 2015 A fractional sideways problem in a one-dimensional finite-slab with deterministic and random interior perturbed data. Zbl 1445.35186 Trong, Dang Duc; Nhung, Nguyen Thi Hong; Minh, Nguyen Dang; Lan, Nguyen Nhu 3 2020 A final value problem for heat equation: regularization by truncation method and new error estimates. Zbl 1212.35185 Trong, Dang Duc; Quan, Pham Hoang; Tuan, Nguyen Huy 3 2010 Optimal error bound and truncation regularization method for a backward time-fractional diffusion problem in Hilbert scales. Zbl 1440.65088 Hai, Dinh Nguyen Duy; Trong, Dang Duc 3 2020 On the nonlinear generalized Langevin equation involving \(\psi\)-Caputo fractional derivatives. Zbl 1493.34021 Dien, Nguyen Minh; Trong, Dang Duc 3 2021 Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem. Zbl 1431.65157 Trong, Dang Duc; Hai, Dinh Nguyen Duy; Minh, Nguyen Dang 3 2019 Laguerre polynomials and the inverse Laplace transform using discrete data. Zbl 1139.65084 Tran Ngoc Lien; Dang Duc Trong; Pham Ngoc Dinh, Alain 2 2008 Hölder-type approximation for the spatial source term of a backward heat equation. Zbl 1208.35168 Dang Duc Trong; Mach Nguyet Minh; Pham Ngoc Dinh, Alain; Phan Thanh Nam 2 2010 Regularization of a backward heat transfer problem with a nonlinear source. Zbl 1231.35292 Dang Duc Trong; Nguyen Minh Dien 2 2011 Sinc approximation of the heat flux on the boundary of a two-dimensional finite slab. Zbl 1102.35007 Quan, P. H.; Trong, D. D.; Alain, P. N. Dinh 2 2006 The backward problem for Ginzburg-Landau-type equation. (The backward problem for Ginzurg-Landau-type equation.) Zbl 1334.35412 Trong, Dang Duc; Duy, Bui Thanh; Minh, Nguyen Dang 2 2016 Calibration of the purely \(t\)-dependent Black-Scholes implied volatility. Zbl 1291.91213 Dang Duc Trong; Dinh Ngoc Thanh; Nguyen Nhu Lan; Pham Hoang Uyen 2 2014 The backward problem for nonlinear fractional diffusion equation with time-dependent order. Zbl 1471.35328 Dien, Nguyen Minh; Trong, Dang Duc 2 2021 A note on a nonlinear backward heat equation: stability and error estimates. Zbl 1274.35020 Tuan, Nguyen Huy; Trong, Dang Duc 2 2011 Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials. Zbl 1120.30031 Dang Duc Trong; Tran Ngoc Lien 1 2007 A modified integral equation method of the semilinear backward heat problem. Zbl 1416.65310 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 1 2011 Regularization and new error estimates for a modified Helmholtz equation. Zbl 1224.35164 Tuan, Nguyen Huy; Quan, Pham Hoang; Trong, Dang Duc 1 2010 Domain identification for semilinear elliptic equations in the plane: The zero flux case. Zbl 0967.35155 Trong, D. D.; Ang, D. D. 1 2000 Determination of the body force of a two-dimensional isotropic elastic body. Zbl 1163.74005 Dang Duc Trong; Pham Ngoc Dinh, Alain; Phan Thanh Nam; Truong Trung Tuyen 1 2009 A Hausdorff moment problem with non-integral powers: approximation by finite moments. Zbl 1085.44500 Nguyen Vu Huy; Dang Duc Trong 1 2004 A Cauchy problem for elliptic equations: quasi-reversibility and error estimates. Zbl 1207.35119 Dang Dinh Ang; Dang Duc Trong; Yamamoto, Masahiro 1 2004 Domain identification for a nonlinear elliptic equation. Zbl 0928.35210 Trong, D. D. 1 1998 Reconstructing an analytic function using truncated Lagrange polynomials. Zbl 1043.30019 Trong, D. D.; Lien, T. N. 1 2003 Reconstruction of \(H^p\)-functions: best approximation, regularization and optimal error estimates. Zbl 1058.30027 Dang Duc Trong; Nguyen Le Luc; Le Quang Nam; Truong Trung Tuyen 1 2004 A Cauchy like problem in plane elasticity: regularization by quasi-reversibility with error estimates. Zbl 1067.35143 Dang Dinh Ang; Dang Duc Trong; Yamamoto, M. 1 2004 Identification of the pollution source of a parabolic equation with the time-dependent heat conduction. Zbl 1309.65109 Tuan, Nguyen Huy; Trong, Dang Duc; Thong, Ta Hoang; Minh, Nguyen Dang 1 2014 Reconstruction of analytic functions on the unit disc from a sequence of moments: regularization and error estimates. Zbl 1130.30314 Nguyen Vu Huy; Nguyen Van Nhan; Dang Duc Trong 1 2002 The growth at infinity of a sequence of entire functions of bounded orders. Zbl 1153.30026 Trong, Dang Duc; Truong, Tuyen Trung 1 2008 A regularized method for two dimensional nonlinear heat equation backward in time. Zbl 1289.35136 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 1 2012 The body force in a three-dimensional Lamé system: identification and regularization. Zbl 1398.74021 Dang Duc Trong; Phan Thanh Nam; Phung Trong Thuc 1 2012 Backward problem for time-space fractional diffusion equations in Hilbert scales. Zbl 1524.35722 Trong, Dang Duc; Hai, Dinh Nguyen Duy 1 2021 On the mean \(L^1\)-error in the heteroscedastic deconvolution problem with compactly supported noises. Zbl 1508.62087 Phuong, Cao Xuan; Trong, Dang Duc; Viet, Tran Quoc 1 2018 A regularization of the backward problem for nonlinear parabolic equation with time-dependent coefficient. Zbl 1253.35211 Pham Hoang Quan; Le Minh Triet; Dang Duc Trong 1 2012 Global solutions of nonlinear fractional diffusion equations with time-singular sources and perturbed orders. Zbl 1503.35255 Dien, Nguyen Minh; Nane, Erkan; Minh, Nguyen Dang; Trong, Dang Duc 4 2022 On the nonlinear generalized Langevin equation involving \(\psi\)-Caputo fractional derivatives. Zbl 1493.34021 Dien, Nguyen Minh; Trong, Dang Duc 3 2021 The backward problem for nonlinear fractional diffusion equation with time-dependent order. Zbl 1471.35328 Dien, Nguyen Minh; Trong, Dang Duc 2 2021 Backward problem for time-space fractional diffusion equations in Hilbert scales. Zbl 1524.35722 Trong, Dang Duc; Hai, Dinh Nguyen Duy 1 2021 Global solution of space-fractional diffusion equations with nonlinear reaction source terms. Zbl 1450.35281 Trong, Dang Duc; Dien, Nguyen Minh; Viet, Tran Quoc 6 2020 On Tikhonov’s method and optimal error bound for inverse source problem for a time-fractional diffusion equation. Zbl 1445.35328 Dien, Nguyen Minh; Hai, Dinh Nguyen Duy; Viet, Tran Quoc; Trong, Dang Duc 5 2020 A fractional sideways problem in a one-dimensional finite-slab with deterministic and random interior perturbed data. Zbl 1445.35186 Trong, Dang Duc; Nhung, Nguyen Thi Hong; Minh, Nguyen Dang; Lan, Nguyen Nhu 3 2020 Optimal error bound and truncation regularization method for a backward time-fractional diffusion problem in Hilbert scales. Zbl 1440.65088 Hai, Dinh Nguyen Duy; Trong, Dang Duc 3 2020 Stability of solutions of a class of nonlinear fractional Laplacian parabolic problems. Zbl 1419.35228 Viet, Tran Quoc; Dien, Nguyen Minh; Trong, Dang Duc 10 2019 On a time-space fractional backward diffusion problem with inexact orders. Zbl 1442.35527 Trong, Dang Duc; Hai, Dinh Nguyen Duy; Dien, Nguyen Minh 8 2019 Optimal regularization for an unknown source of space-fractional diffusion equation. Zbl 1429.65221 Trong, Dang Duc; Hai, Dinh Nguyen Duy; Nguyen, Dang Minh 7 2019 Deconvolution of a cumulative distribution function with some non-standard noise densities. Zbl 1429.62134 Trong, Dang Duc; Phuong, Cao Xuan 4 2019 Stepwise regularization method for a nonlinear Riesz-Feller space-fractional backward diffusion problem. Zbl 1431.65157 Trong, Dang Duc; Hai, Dinh Nguyen Duy; Minh, Nguyen Dang 3 2019 A two-dimensional backward heat problem with statistical discrete data. Zbl 1382.35120 Minh, Nguyen Dang; To Duc, Khanh; Tuan, Nguyen Huy; Trong, Dang Duc 14 2018 The backward problem for a nonlinear Riesz-Feller diffusion equation. Zbl 1395.65058 Dinh Nguyen Duy Hai; Dang Duc Trong 4 2018 On the mean \(L^1\)-error in the heteroscedastic deconvolution problem with compactly supported noises. Zbl 1508.62087 Phuong, Cao Xuan; Trong, Dang Duc; Viet, Tran Quoc 1 2018 Deconvolution of \(\mathbb{P}(X<Y)\) with compactly supported error densities. Zbl 1360.62139 Trong, Dang Duc; Nguyen, Ton That Quang; Phuong, Cao Xuan 5 2017 A Riesz-Feller space-fractional backward diffusion problem with a time-dependent coefficient: regularization and error estimates. Zbl 1372.35347 Tuan, Nguyen Huy; Trong, Dang Duc; Hai, Dinh Nguyen Duy; Thanh, Duong Dang Xuan 4 2017 The backward problem for Ginzburg-Landau-type equation. (The backward problem for Ginzurg-Landau-type equation.) Zbl 1334.35412 Trong, Dang Duc; Duy, Bui Thanh; Minh, Nguyen Dang 2 2016 Backward heat equations with locally Lipschitz source. Zbl 1331.35393 Trong, Dang Duc; Duy, Bui Thanh; Minh, Mach Nguyet 9 2015 Approximation of mild solutions of the linear and nonlinear elliptic equations. Zbl 1326.65148 Nguyen Huy Tuan; Le Duc Thang; Dang Duc Trong; Vo Anh Khoa 8 2015 Nonparametric regression in a statistical modified Helmholtz equation using the Fourier spectral regularization. Zbl 1367.62128 Trong, Dang Duc; Khanh, To Duc; Tuan, Nguyen Huy; Minh, Nguyen Dang 4 2015 Ridge-parameter regularization to deconvolution problem with unknown error distribution. Zbl 1328.62154 Trong, Dang Duc; Phuong, Cao Xuan 3 2015 On a backward parabolic problem with local Lipschitz source. Zbl 1310.35242 Tuan, Nguyen Huy; Trong, Dang Duc 18 2014 On a backward nonlinear parabolic equation with time and space dependent thermal conductivity: regularization and error estimates. Zbl 1295.35384 Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh 6 2014 Tikhonov’s regularization to the deconvolution problem. Zbl 1305.62155 Dang Duc Trong; Cao Xuan Phuong; Truong Trung Tuyen; Dinh Ngoc Thanh 3 2014 Calibration of the purely \(t\)-dependent Black-Scholes implied volatility. Zbl 1291.91213 Dang Duc Trong; Dinh Ngoc Thanh; Nguyen Nhu Lan; Pham Hoang Uyen 2 2014 Identification of the pollution source of a parabolic equation with the time-dependent heat conduction. Zbl 1309.65109 Tuan, Nguyen Huy; Trong, Dang Duc; Thong, Ta Hoang; Minh, Nguyen Dang 1 2014 A backward parabolic equation with a time-dependent coefficient: regularization and error estimates. Zbl 1263.65091 Le Minh Triet; Pham Quan Hoang; Dang Duc Trong; Nguyen Tuan Huy 12 2013 On a backward heat problem with time-dependent coefficient: regularization and error estimates. Zbl 1273.65133 Tuan, Nguyen Huy; Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh 5 2013 A regularized method for two dimensional nonlinear heat equation backward in time. Zbl 1289.35136 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 1 2012 The body force in a three-dimensional Lamé system: identification and regularization. Zbl 1398.74021 Dang Duc Trong; Phan Thanh Nam; Phung Trong Thuc 1 2012 A regularization of the backward problem for nonlinear parabolic equation with time-dependent coefficient. Zbl 1253.35211 Pham Hoang Quan; Le Minh Triet; Dang Duc Trong 1 2012 A modified quasi-boundary value method for regularizing of a backward problem with time-dependent coefficient. Zbl 1227.65089 Quan, Pham Hoang; Trong, Dang Duc; Triet, Le Minh; Tuan, Nguyen Huy 12 2011 Two regularization methods for backward heat problems with new error estimates. Zbl 1219.35370 Tuan, Nguyen Huy; Trong, Dang Duc 5 2011 A simple regularization method for the ill-posed evolution equation. Zbl 1224.35165 Tuan, Nguyen Huy; Trong, Dang Duc 5 2011 Notes on a new approximate solution of 2-D heat equation backward in time. Zbl 1228.65186 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 3 2011 Regularization of a backward heat transfer problem with a nonlinear source. Zbl 1231.35292 Dang Duc Trong; Nguyen Minh Dien 2 2011 A note on a nonlinear backward heat equation: stability and error estimates. Zbl 1274.35020 Tuan, Nguyen Huy; Trong, Dang Duc 2 2011 A modified integral equation method of the semilinear backward heat problem. Zbl 1416.65310 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 1 2011 The truncation method for a two-dimensional nonhomogeneous backward heat problem. Zbl 1197.65131 Phan Thanh Nam; Dang Duc Trong; Nguyen Huy Tuan 19 2010 A note on a Cauchy problem for the Laplace equation: Regularization and error estimates. Zbl 1206.65225 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 18 2010 A nonlinear parabolic equation backward in time: regularization with new error estimates. Zbl 1196.35225 Tuan, Nguyen Huy; Trong, Dang Duc 16 2010 Sharp estimates for approximations to a nonlinear backward heat equation. Zbl 1200.35317 Tuan, Nguyen Huy; Trong, Dang Duc 7 2010 On a backward Cauchy problem associated with continuous spectrum operator. Zbl 1197.35306 Tuan, Nguyen Huy; Trong, Dang Duc; Quan, Pham Hoang 6 2010 A new regularization method for a class of ill-posed Cauchy problems. Zbl 1236.35200 Nguyen Huy Tuan; Dang Duc Trong; Pham Hoang Quan 3 2010 A final value problem for heat equation: regularization by truncation method and new error estimates. Zbl 1212.35185 Trong, Dang Duc; Quan, Pham Hoang; Tuan, Nguyen Huy 3 2010 Hölder-type approximation for the spatial source term of a backward heat equation. Zbl 1208.35168 Dang Duc Trong; Mach Nguyet Minh; Pham Ngoc Dinh, Alain; Phan Thanh Nam 2 2010 Regularization and new error estimates for a modified Helmholtz equation. Zbl 1224.35164 Tuan, Nguyen Huy; Quan, Pham Hoang; Trong, Dang Duc 1 2010 Regularization and error estimate for the nonlinear backward heat problem using a method of integral equation. Zbl 1172.35517 Trong, Dang Duc; Tuan, Nguyen Huy 25 2009 A new regularized method for two dimensional nonhomogeneous backward heat problem. Zbl 1180.65119 Tuan, Nguyen Huy; Trong, Dang Duc 11 2009 A quasi-boundary value method for regularizing nonlinear ill-posed problems. Zbl 1178.35374 Trong, Dang Duc; Quan, Pham Hoang; Tuan, Nguyen Huy 10 2009 Determine the special term of a two-dimensional heat source. Zbl 1172.35409 Dang Duc Trong; Pham Ngoc Dinh, Alain; Phan Thanh Nam 7 2009 A new version of quasi-boundary value method for a 1-D nonlinear ill-posed heat problem. Zbl 1184.35311 Quan, P. H.; Trong, D. D.; Tuan, N. H. 5 2009 Remarks on a 2-D nonlinear backward heat problem using a truncated Fourier series method. Zbl 1178.35375 Trong, Dang Duc; Tuan, Nguyen Huy 3 2009 Determination of the body force of a two-dimensional isotropic elastic body. Zbl 1163.74005 Dang Duc Trong; Pham Ngoc Dinh, Alain; Phan Thanh Nam; Truong Trung Tuyen 1 2009 Stabilized quasi-reversibility method for a class of nonlinear ill-posed problems. Zbl 1171.35485 Trong, Dang Duc; Tuan, Nguyen Huy 22 2008 A nonhomogeneous backward heat problem: regularization and error estimates. Zbl 1171.35488 Dang Duc Trong; Nguyen Huy Tuan 20 2008 Sinc approximation of the heat distribution on the boundary of a two-dimensional finite slab. Zbl 1146.35376 Dinh Alain, P. N.; Quan, P. H.; Trong, D. D. 3 2008 Laguerre polynomials and the inverse Laplace transform using discrete data. Zbl 1139.65084 Tran Ngoc Lien; Dang Duc Trong; Pham Ngoc Dinh, Alain 2 2008 The growth at infinity of a sequence of entire functions of bounded orders. Zbl 1153.30026 Trong, Dang Duc; Truong, Tuyen Trung 1 2008 A nonlinear case of the 1-D backward heat problem: regularization and error estimate. Zbl 1246.35104 Trong, Dang Duc; Quan, Pham Hoang; Khanh, Tran Vu; Tuan, Nguyen Huy 33 2007 Regularization of a discrete backward problem using coefficients of truncated Lagrange polynomials. Zbl 1120.30031 Dang Duc Trong; Tran Ngoc Lien 1 2007 Regularization and error estimates for nonhomogeneous backward heat problems. Zbl 1091.35114 Trong, Dang Duc; Tuan, Nguyen Huy 27 2006 Determination of a two-dimensional heat source: uniqueness, regularization and error estimate. Zbl 1096.65097 Trong, D. D.; Quan, P. H.; Dinh Alain, P. N. 21 2006 A nonlinearly backward heat problem: uniqueness, regularization and error estimate. Zbl 1099.35045 Quan, Pham Hoang; Trong, Dang Duc 16 2006 A Hausdorff-like moment problem and the inversion of the Laplace transform. Zbl 1103.65133 Nguyen Dung; Nguyen Vu Huy; Pham Hoang Quan; Dang Duc Trong 3 2006 Sinc approximation of the heat flux on the boundary of a two-dimensional finite slab. Zbl 1102.35007 Quan, P. H.; Trong, D. D.; Alain, P. N. Dinh 2 2006 Nonhomogeneous heat equation: identification and regularization for the inhomogeneous term. Zbl 1087.35095 Dang Duc Trong; Nguyen Thanh Long; Pham Ngoc Dinh Alain 41 2005 Approximate and analytical inversion formulas in heat conduction on multidimensional spaces. Zbl 1095.35072 Matsuura, T.; Saitoh, S.; Trong, D. D. 29 2005 Identification of cavities in a three-dimensional elastic body. Zbl 1053.35127 Dang Duc Trong; Dang Dinh Ang 5 2004 Numerical solutions of the Poisson equation. Zbl 1065.31004 Matsuura, T.; Saitoh, S.; Trong, D. D. 4 2004 A Hausdorff moment problem with non-integral powers: approximation by finite moments. Zbl 1085.44500 Nguyen Vu Huy; Dang Duc Trong 1 2004 A Cauchy problem for elliptic equations: quasi-reversibility and error estimates. Zbl 1207.35119 Dang Dinh Ang; Dang Duc Trong; Yamamoto, Masahiro 1 2004 Reconstruction of \(H^p\)-functions: best approximation, regularization and optimal error estimates. Zbl 1058.30027 Dang Duc Trong; Nguyen Le Luc; Le Quang Nam; Truong Trung Tuyen 1 2004 A Cauchy like problem in plane elasticity: regularization by quasi-reversibility with error estimates. Zbl 1067.35143 Dang Dinh Ang; Dang Duc Trong; Yamamoto, M. 1 2004 Reconstructing an analytic function using truncated Lagrange polynomials. Zbl 1043.30019 Trong, D. D.; Lien, T. N. 1 2003 Moment theory and some inverse problems in potential theory and heat conduction. Zbl 1005.30025 Ang, Dang Dinh; Gorenflo, Rudolf; Le, Vy Khoi; Trong, Dang Duc 19 2002 Reconstruction of analytic functions on the unit disc from a sequence of moments: regularization and error estimates. Zbl 1130.30314 Nguyen Vu Huy; Nguyen Van Nhan; Dang Duc Trong 1 2002 Domain identification for semilinear elliptic equations in the plane: The zero flux case. Zbl 0967.35155 Trong, D. D.; Ang, D. D. 1 2000 A multi-dimensional Hausdorff moment problems regularization by finite moments. Zbl 0921.65089 Ang, D. D.; Gorenflo, R.; Trong, D. D. 10 1999 Identification of cavities inside two-dimensional heterogeneous isotropic elastic bodies. Zbl 0959.74023 Ang, Dang Dinh; Trong, Dang Duc; Yamamoto, Masahiro 3 1999 Unique continuation for a stationary isotropic Lamé system with variable coefficients. Zbl 0892.35054 Dang Ding Ang; Ikehata, Masaru; Dang Duc Trong; Yamamoto, Masahiro 24 1998 Domain identification for a nonlinear elliptic equation. Zbl 0928.35210 Trong, D. D. 1 1998 Unique continuation and identification of boundary of an elastic body. Zbl 0865.35141 Dang Ding Ang; Dang Duc Trong; Yamamoto, Masahiro 7 1996 Coefficient identification for a parabolic equation. Zbl 0805.35159 Trong, D. D.; Ang, D. D. 9 1994 all cited Publications top 5 cited Publications all top 5 Cited by 474 Authors 60 Nguyen Huy Tuan 54 Trong, Dang Duc 15 Fu, Chuli 12 Soltani, Fethi 12 Vo Anh Khoa 12 Yang, Fan 8 Dien, Nguyen Minh 8 Kirane, Mokhtar 8 Li, Xiaoxiao 8 Minh, Nguyen Dang 8 Phuong, Cao Xuan 8 Quan, Pham Hoang 8 Wei, Ting 7 Can, Nguyen Huu 7 Fury, Matthew A. 7 Hai, Dinh Nguyen Duy 7 Khanh, Tra Quoc 7 Nair, M. Thamban 7 O’Regan, Donal 7 Yamamoto, Masahiro 6 Duc, Nguyen Van 6 Nakamura, Gen 6 Pham Hoang Quan 6 Phan Thành Nam 5 Au, Vo Van 5 Băleanu, Dumitru I. 5 Cheng, Wei 5 Đinh Nho Hào 5 Nane, Erkan 5 Saitoh, Saburou 5 Viet, Tran Quoc 5 Zhang, Hongwu 4 Cheng, Jin 4 Dou, Fangfang 4 Khieu, Tran Thi 4 Lesnic, Daniel 4 Liu, Jun 4 Luan, Tran Nhat 4 Mach Nguyet Minh 4 Nemri, Akram 4 Ngo Van Hoa 4 Nguyen, Van Thinh 4 Pham Ngoc Dinh, Alain 4 Qian, Zhi 4 Thach, Tran Ngoc 4 Thuy, Le Thi Hong 4 Wang, Jenn-Nan 4 Xiong, Xiangtuan 3 Ang, Dang Dinh 3 Barceló, Juan Antonio 3 Binh, Tran Thanh 3 Elmorabie, Khaled Mohammed 3 Feng, Xiaoli 3 Hleili, Khaled 3 Hon, Yiu-Chung 3 Jana, Ajoy 3 Le Duc Thang 3 Lin, Ching-Lung 3 Liu, Jijun 3 Long, Le Dinh 3 Ma, Yunjie 3 Matsuura, Tsutomu 3 Minh, Luong Duy Nhat 3 Nguyen Minh Dien 3 Qin, Haihua 3 Sumbatyan, Mezhlum A. 3 Tautenhahn, Ulrich 3 Thang, Nguyen Van 3 Thành, Nguyen Trung 3 Tran The Hung 3 Yan, Liang 3 Zakeri, Ali 3 Zhang, Yuanxiang 3 Zhou, Yong 2 Benrabah, Abderafik 2 Bin-Mohsin, Bandar 2 Boussetila, Nadjib 2 Castro, Carlos 2 Pinheiro de Castro, Luís Filipe 2 Dou, Yixin 2 Duy, Bui Thanh 2 Ghaffari, Abuzar 2 Hamida, Salim 2 Han, Bo 2 Hoang, Quan Pham 2 Hofmann, Bernd 2 Jiang, Yi 2 Le Minh Triet 2 Long Le Dinh 2 Mai Thanh Nhat Truong 2 Nguyen Anh Triet 2 Nguyen Dang Minh 2 Nguyen Nhu Lan 2 Nguyen, Ton That Quang 2 Oanh, Nguyen Thi Ngoc 2 Phuong, Nguyen Duc 2 Qian, Ai-Lin 2 Radenkovic, Miloje S. 2 Rebbani, Faouzia 2 Saoudi, Ahmed ...and 374 more Authors all top 5 Cited in 142 Serials 18 Inverse Problems in Science and Engineering 17 Journal of Computational and Applied Mathematics 16 Applicable Analysis 15 Computers & Mathematics with Applications 15 Journal of Mathematical Analysis and Applications 15 Journal of Inverse and Ill-Posed Problems 13 Applied Mathematics and Computation 9 Applied Mathematical Modelling 8 Inverse Problems 8 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 7 Numerical Functional Analysis and Optimization 6 Acta Mathematica Vietnamica 6 Computational and Applied Mathematics 5 Mathematical Methods in the Applied Sciences 5 Zeitschrift für Analysis und ihre Anwendungen 5 Applied Numerical Mathematics 5 Applied Mathematics Letters 5 Numerical Algorithms 5 Integral Transforms and Special Functions 5 Mathematical Problems in Engineering 5 Fractional Calculus & Applied Analysis 4 Chaos, Solitons and Fractals 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 SIAM Journal on Mathematical Analysis 4 Journal of Inequalities and Applications 4 Complex Analysis and Operator Theory 4 Open Mathematics 3 Ukrainian Mathematical Journal 3 International Journal of Computer Mathematics 3 Advances in Computational Mathematics 3 Discrete and Continuous Dynamical Systems 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Applied Mathematics and Computing 3 Boundary Value Problems 3 Inverse Problems and Imaging 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Czechoslovak Mathematical Journal 2 Proceedings of the American Mathematical Society 2 Transactions of the American Mathematical Society 2 Acta Applicandae Mathematicae 2 Journal of Scientific Computing 2 Communications in Statistics. Theory and Methods 2 Journal of Mathematical Sciences (New York) 2 Fractals 2 The Journal of Fourier Analysis and Applications 2 Mathematics and Mechanics of Solids 2 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 2 Vietnam Journal of Mathematics 2 Abstract and Applied Analysis 2 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 2 Acta Mathematica Sinica. English Series 2 Nonlinear Analysis. Real World Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Asian-European Journal of Mathematics 2 Advances in Mathematical Physics 2 Electronic Research Archive 1 Analysis Mathematica 1 Bulletin of the Australian Mathematical Society 1 Computer Methods in Applied Mechanics and Engineering 1 Computer Physics Communications 1 Journal of Engineering Mathematics 1 Metrika 1 Periodica Mathematica Hungarica 1 Rocky Mountain Journal of Mathematics 1 Applied Mathematics and Optimization 1 BIT 1 Calcolo 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of Statistical Planning and Inference 1 Le Matematiche 1 Mathematische Annalen 1 Mathematics and Computers in Simulation 1 Mathematische Nachrichten 1 Mechanics Research Communications 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 SIAM Journal on Numerical Analysis 1 Statistics & Probability Letters 1 Chinese Annals of Mathematics. Series B 1 Acta Mathematicae Applicatae Sinica. English Series 1 Statistics 1 Discrete & Computational Geometry 1 Mathematical and Computer Modelling 1 Journal of Integral Equations and Applications 1 The Journal of Geometric Analysis 1 Applications of Mathematics 1 Computational Mathematics and Mathematical Physics 1 Journal of Elasticity 1 SIAM Journal on Applied Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Dynamics and Differential Equations 1 Cybernetics and Systems Analysis 1 Calculus of Variations and Partial Differential Equations 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Georgian Mathematical Journal 1 ETNA. Electronic Transactions on Numerical Analysis 1 Complexity ...and 42 more Serials all top 5 Cited in 38 Fields 275 Partial differential equations (35-XX) 175 Numerical analysis (65-XX) 76 Operator theory (47-XX) 29 Mechanics of deformable solids (74-XX) 27 Real functions (26-XX) 23 Integral transforms, operational calculus (44-XX) 19 Harmonic analysis on Euclidean spaces (42-XX) 19 Functional analysis (46-XX) 19 Classical thermodynamics, heat transfer (80-XX) 18 Statistics (62-XX) 17 Ordinary differential equations (34-XX) 16 Probability theory and stochastic processes (60-XX) 9 Calculus of variations and optimal control; optimization (49-XX) 8 Potential theory (31-XX) 8 Integral equations (45-XX) 6 Systems theory; control (93-XX) 5 Functions of a complex variable (30-XX) 5 Abstract harmonic analysis (43-XX) 4 Approximations and expansions (41-XX) 4 Computer science (68-XX) 4 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Operations research, mathematical programming (90-XX) 3 Biology and other natural sciences (92-XX) 3 Information and communication theory, circuits (94-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Special functions (33-XX) 2 Optics, electromagnetic theory (78-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Measure and integration (28-XX) 1 Convex and discrete geometry (52-XX) 1 Mechanics of particles and systems (70-XX) 1 Quantum theory (81-XX) 1 Geophysics (86-XX) Citations by Year