By Professor Thanh Tran

Journal articles

Shaik AR; Rahman SS; Tran NH; Tran T, 2011, 'Numerical simulation of fluid-rock coupling heat transfer in naturally fractured geothermal system', Applied Thermal Engineering, 31, pp. 1600 - 1606, http://dx.doi.org/10.1016/j.applthermaleng.2011.01.038

Pham T; Tran T; Chernov A, 2011, 'Pseudodifferential equations on the sphere with spherical splines', Mathematical Models and Methods in Applied Sciences, 21, pp. 1933 - 1959, http://dx.doi.org/10.1142/S021820251100560X

Le Gia QT; Stephan EP; Tran T, 2011, 'Solution to the Neumann problem exterior to a prolate spheroid by radial basis functions', Advances in Computational Mathematics, 34, pp. 83 - 103, http://dx.doi.org/10.1007/s10444-010-9145-4

Le Gia QT; Tran T, 2010, 'An overlapping additive Schwarz preconditioner for interpolation on the unit sphere with spherical radial basis functions', Journal of Complexity, 26, pp. 552 - 573

Tran T; Le Gia QT; Sloan IH; Stephan EP, 2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, 115, pp. 141 - 163

Le Gia QT; Tran T; Sloan IH; Stephan EP, 2009, 'Boundary integral equations on the sphere with radial basis functions: error analysis', Applied Numerical Mathematics, 59, pp. 2857 - 2871

Le Gia QT; Sloan IH; Tran T, 2009, 'Overlapping additive schwarz preconditioners for elliptic pdes on the unit sphere', Mathematics of Computation, 78, pp. 79 - 101

Tran T, 2009, 'Solutions to pseudodifferential equations using spherical radial basis functions', Bulletin of the Australian Mathematical Society, 79, pp. 473 - 485

Tran T; Le Gia QT, 2008, 'Interpolation on the sphere: a fast solution technique', Australia and New Zealand Industrial and Applied Mathematics (ANZIAM) Journal, 50, pp. C354 - C370

Le Gia QT; Tran T, 2008, 'Interpolation on the sphere: a fast solution technique', ANZIAM Journal, pp. 354 - 370

Tran T, 2008, 'Meshless methods for pseudodifferential equations on the sphere', Oberwolfach Reports, No.19, pp. 10 - 12

Le Gia QT; Pham TD; Tran T, 2008, 'Numerical solutions to a boundary integral equation with spherical radial basis functions', ANZIAM Journal, pp. 266 - 281

Tran T, 2007, 'Additive Schwarz preconditioners for the h-p version boundary-element approximation to the hypersingular operator in three dimensions', International Journal of Computer Mathematics, 84, pp. 1417 - 1437

Tran T; Duong T, 2005, 'A Posteriori error estimates with the finite element method of lines for a Sobolev equation', Numerical Methods for Partial Differential Equations, 21, pp. 521 - 535

Teimoori Sangani A; Chen Z; Rahman SS; Tran T, 2005, 'Effective permeability calculation using boundary element method in naturally fractured reservoirs', Petroleum Science and Technology, 23, pp. 693 - 709

Tran T; Stephan EP, 2004, 'An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lamé crack problems', Journal of Numerical Mathematics, 12, pp. 311 - 330, http://dx.doi.org/10.1515/1569395042571265

Maischak M; Stephan EP; Tran T, 2004, 'A multiplicative Schwarz algorithm for the Galerkin boundary element approximation of the weakly singular integral operator in three dimensions', International Journal of Pure and Applied Mathematics, pp. 1 - 21

Tran T; Stephan E, 2004, 'An overlapping additive Schwarz preconditioner for boundary element approximations to the Laplace screen and Lame crack problems', Journal of Numerical Mathematics, 12, pp. 311 - 330, http://www.sciencedirect.com/science/article/B6WPV-4F8K1JM-503/2/2886f934f125f4f4065f858d5968c2f9

Teimoori A; Chen Z; Rahman SS; Tran T, 2003, 'Calculation of Permeability Tensor Using Boundary Element Method Provides a Unique Tool to Simulate Naturally Fractured Reservoirs', Proceedings SPE Annual Technical Conference and Exhibition, pp. 5035 - 5042, http://dx.doi.org/10.2118/84545-ms

Tran T; Duong TB, 2002, 'A complete analysis for some A Posteriori error estimates with the finite element method of lines for a nonlinear parabolic equation', NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 23, pp. 891 - 909, http://dx.doi.org/10.1081/NFA-120016275

Tran T; Stephan EP, 2001, 'Two-level additive Schwarz preconditioners for the h-p version of the Galerkin boundary element method for 2-d problems', Computing Vienna New York, 67, pp. 57 - 82, http://dx.doi.org/10.1007/s006070170016

Sloan IH; Tran T, 2001, 'The Tolerant Qualocation Method for Variable- Coefficient Elliptic Equations on Curves', Journal of Integral Equations and Applications, 13, http://dx.doi.org/10.1216/jiea/996986883

Tran T, 2000, 'Overlapping additive Schwarz preconditioners for boundary element methods', Journal of Integral Equations and Applications, 12, pp. 177 - 208, http://dx.doi.org/10.1216/jiea/1020282169

Kress R; Tran T, 2000, 'Inverse scattering for a locally perturbed half-plane', Inverse Problems, 16, pp. 1541 - 1559, http://dx.doi.org/10.1088/0266-5611/16/5/323

Stephan EP; Tran T, 2000, 'Domain decomposition algorithms for indefinite weakly singular integral equations: The h and p versions', IMA Journal of Numerical Analysis, 20, pp. 1 - 24, http://dx.doi.org/10.1093/imanum/20.1.1

Tran T; Stephan E, 2000, 'Additive Schwarz algorithms for the p version of the Galerkin boundary element method', American Journal of Science, pp. 433 - 468

Ainsworth M; Mclean W; Tran T, 2000, 'Diagonal scaling of stiffness matrices in the Galerkin boundary element method', Journal of Australian Mathematical Society B, pp. 141 - 150

Tran T; Maischak M; Stephan E, 2000, 'Multiplicative Schwarz algorithms for the Galerkin boundary element method', SIAM Journal on Numerical Analysis, pp. 1243 - 1268

Tran T, 2000, 'Overlapping additive Schwarz methods for first kind boundary integral equations', Journal of Integral Equations & Applications, 12, pp. 177 - 207

Ainsworth M; Mclean W; Tran T, 1999, 'The conditioning of boundary element equations on locally refined meshes and preconditioning by diagonal scaling', SIAM Journal on Numerical Analysis, pp. 1901 - 1932

Tran T; Sloan IH, 1998, 'Tolerant Qualocation A Qualocation Method for Boundary Integral Equations with Reduced Regularity Requirement', Journal of Integral Equations and Applications, 10, http://dx.doi.org/10.1216/jiea/1181074209

Stephan E; Tran T, 1998, 'Domain decomposition algorithms for indefinite hypersingular integral equations: The h and p versions', SIAM journal of scientific computation, 19, pp. 1139 - 1153

Heuer N; Stephan E; Tran T, 1998, 'Multilevel additive Schwarz method for the h-p version of the Galerkin boundary element method', Mathematics of Computation, pp. 501 - 518

Tran T; Stephan E; Zaprianov S, 1998, 'Wavelet-based preconditioners for boundary integral equations', Advances in Computational Mathematics, pp. 233 - 249

Tran T; Stephan EP; Mund P, 1997, 'Hierarchical basis preconditioners for first kind integral equations', Applicable Analysis, 65, pp. 353 - 372, http://dx.doi.org/10.1080/00036819708840566

Mclean W; Tran T, 1997, 'A preconditioning strategy of boundary element Galerkin methods', Numerical Methods for Partial Differential Equations, 13, pp. 283 - 301

Tran T; Stephan E, 1996, 'Additive Schwarz methods for the h-version boundary element method', Applicable Analysis, pp. 63 - 84

Matthias M; Stephen EP; Thanh T, 1996, 'Domain decomposition methods for boundary integral equations of the first kind: numerical results', Applicable Analysis, 63, pp. 111 - 132, http://dx.doi.org/10.1080/00036819608840498

Stephan EP; Tran T, 1996, 'Localization and Post Processing for the Galerkin Boundary Element Method Applied to Three-Dimensional Screen Problems', Journal of Integral Equations and Applications, 8, pp. 457 - 481

Tran T, 1996, 'Locl error estimates for the Galerkin method applied to strongly elliptic integral equations on open curves', SIAM Journal on Numerical Analysis, pp. 1484 - 1493

Tran T, 1995, 'The k-operator and the galerkin method for strongly elliptic equations on smooth curves: Local estimates1', Mathematics of Computation, 64, pp. 501 - 513, http://dx.doi.org/10.1090/S0025-5718-1995-1284671-2

Tran T, 1995, 'Domain decomposition methods for the Galerkin boundary element approximation applied to screen and crack problems', The Ho Chi Minh City Mathematical Society, 3, pp. 355 - 368

Tran T, 1995, 'The K-operator and the Galerkin method for strongly elliptic equations on smooth curves, local estimates', Mathematics of Computation, 64, pp. 501 - 513, http://dx.doi.org/10.2307/2153436

Tran T, 1993, 'The K-operator and the qualocation method for strongly elliptic equations on smooth curves', Journal of Integral Equations and Applications, 5, pp. 405 - 428, http://dx.doi.org/10.1216/jiea/1181075762

Tran T, 1993, 'The K -Operator and the Qualocation Method for Strongly Elliptic Equations on Smooth Curves', Journal of Integral Equations and Applications, 5, pp. 299 - 243

Ang DD; Thanh T, 1990, 'A nonlinear pseudoparabolic equation', Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 114, pp. 119 - 133, http://dx.doi.org/10.1017/s0308210500024306

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