Select Publications

Journal articles

An X; Majee AK; Prohl A; Tran T, 2022, 'Optimal control for a coupled spin-polarized current and magnetization system', Advances in Computational Mathematics, vol. 48, http://dx.doi.org/10.1007/s10444-022-09947-1

Hausenblas E; Mukherjee D; Tran T, 2022, 'The one-dimensional stochastic Keller–Segel model with time-homogeneous spatial Wiener processes', Journal of Differential Equations, vol. 310, pp. 506 - 554, http://dx.doi.org/10.1016/j.jde.2021.10.056

Tran T, 2021, 'Remarks on Sobolev norms of fractional orders', Journal of Mathematical Analysis and Applications, vol. 498, pp. 124960 - 124960, http://dx.doi.org/10.1016/j.jmaa.2021.124960

Pham DT; Tran T, 2020, 'A parabolic equation on domains with random boundaries', , http://arxiv.org/abs/2009.13997v1

Mukherjee D; Tran T, 2020, 'A Shape calculus approach for time harmonic solid-fluid interaction problem in stochastic domains', , http://arxiv.org/abs/2009.13783v1

Hausenblas E; Mukherjee D; Tran T, 2020, 'The one-dimensional stochastic Keller--Segel model with time-homogeneous spatial Wiener processes', , http://arxiv.org/abs/2009.13789v1

Shafie S; Tran T, 2020, 'Numerical studies: Adaptive mixed finite element schemes for Benjamin-bona-mahony and burgers equations', International Journal of Engineering Trends and Technology, pp. 63 - 69, http://dx.doi.org/10.14445/22315381/CATI1P211

Pham DT; Tran T; Dinh D; Chernov A, 2020, 'Exterior Dirichlet and Neumann Problems in Domains with Random Boundaries', Bulletin of the Malaysian Mathematical Sciences Society, vol. 43, pp. 1311 - 1342, http://dx.doi.org/10.1007/s40840-019-00741-9

Márquez A; Meddahi S; Tran T, 2018, 'Frequency-explicit asymptotic error estimates for a stress-pressure formulation of a time harmonic fluid-solid interaction problem', Computers and Mathematics with Applications, vol. 76, pp. 2090 - 2109, http://dx.doi.org/10.1016/j.camwa.2018.08.006

Tuan NH; Long LD; Nguyen VT; Tran T, 2017, 'On a final value problem for the time-fractional diffusion equation with inhomogeneous source', Inverse Problems in Science and Engineering, vol. 25, pp. 1367 - 1395, http://dx.doi.org/10.1080/17415977.2016.1259316

Feischl M; Tran T, 2017, 'Existence of regular solutions of the landau-lifshitz-gilbert equation in 3d with natural boundary conditions', SIAM Journal on Mathematical Analysis, vol. 49, pp. 4470 - 4490, http://dx.doi.org/10.1137/16M1103427

Tuan NH; Khoa VA; Minh MN; Tran T, 2017, 'Reconstruction of the electric field of the Helmholtz equation in three dimensions', Journal of Computational and Applied Mathematics, vol. 309, pp. 56 - 78, http://dx.doi.org/10.1016/j.cam.2016.05.021

Feischl M; Tran T, 2017, 'The eddy current-LLG equations: Fem-Bem coupling and a priori error estimates', SIAM Journal on Numerical Analysis, vol. 55, pp. 1786 - 1819, http://dx.doi.org/10.1137/16M1065161

Feischl M; Tran T, 2016, 'The Eddy Current-LLG Equations-Part I: FEM-BEM Coupling', , http://arxiv.org/abs/1602.00744v1

Goldys B; Le KN; Tran T, 2016, 'A finite element approximation for the stochastic Landau-Lifshitz-Gilbert equation', Journal of Differential Equations, vol. 260, pp. 937 - 970, http://dx.doi.org/10.1016/j.jde.2015.09.012

Pham DT; Tran T, 2015, 'Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions', Computers and Mathematics with Applications, vol. 70, pp. 1970 - 1983, http://dx.doi.org/10.1016/j.camwa.2015.08.018

Tuan NH; Thang LD; Khoa VA; Tran T, 2015, 'On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions', Journal of Mathematical Analysis and Applications, vol. 426, pp. 1232 - 1261, http://dx.doi.org/10.1016/j.jmaa.2014.12.047

Le KN; Page M; Praetorius D; Tran T, 2015, 'On a decoupled linear FEM integrator for eddy-current-LLG', Applicable Analysis, vol. 94, pp. 1051 - 1067, http://dx.doi.org/10.1080/00036811.2014.916401

Tregubov I; Tran T, 2015, 'A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis', Numerische Mathematik, vol. 129, pp. 783 - 814, http://dx.doi.org/10.1007/s00211-014-0654-9

Márquez A; Meddahi S; Tran T, 2015, 'Analyses of mixed continuous and discontinuous galerkin methods for the time harmonic elasticity problem with reduced symmetry', SIAM Journal on Scientific Computing, vol. 37, pp. A1909 - A1933, http://dx.doi.org/10.1137/14099022X

Chernov A; Pham D; Tran T, 2015, 'A shape calculus based method for a transmission problem with a random interface', Computers and Mathematics with Applications, http://dx.doi.org/10.1016/j.camwa.2015.06.021

Nguyen VT; Nguyen HT; Tran TB; Vo AK, 2015, 'On an inverse problem in the parabolic equation arising from groundwater pollution problem', Boundary Value Problems, vol. 2015, http://dx.doi.org/10.1186/s13661-015-0319-3

Pham TD; Tran T, 2014, 'Strongly elliptic pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, vol. 128, pp. 589 - 614, http://dx.doi.org/10.1007/s00211-014-0614-4

Márquez A; Meddahi S; Tran T, 2014, 'A mixed discontinuous Galerkin method for the time harmonic elasticity problem with reduced symmetry', , http://arxiv.org/abs/1410.1195v1

Tuan NH; Thang LD; Khoa VA; Tran T, 2014, 'On an inverse boundary value problem of a nonlinear elliptic equation in three dimensions', Journal of Mathematical Analysis and Applications, http://dx.doi.org/10.1016/j.jmaa.2014.12.047

Tregubov I; Tran T, 2014, 'A Galerkin method with spherical splines for the shallow water equations on a sphere: error analysis', Numerische Mathematik, http://dx.doi.org/10.1007/s00211-014-0654-9

Pham DT; Tran T, 2014, 'Solving non-strongly elliptic pseudodifferential equations on a sphere using radial basis functions', Computers and Mathematics with Applications, http://dx.doi.org/10.1016/j.camwa.2015.08.018

Le K-N; Page M; Praetorius D; Tran T, 2014, 'On a decoupled linear FEM integrator for eddy-current-LLG', Applicable Analysis, http://dx.doi.org/10.1080/00036811.2014.916401

Le K-N; Tran T, 2013, 'A finite element approximation for the quasi-static Maxwell--Landau--Lifshitz--Gilbert equations', ANZIAM Journal, vol. 54, pp. 681 - 681, http://dx.doi.org/10.21914/anziamj.v54i0.6318

Heuer N; Tran T, 2013, 'A mixed method for Dirichlet problems with radial basis functions', Computers and Mathematics with Applications, vol. 66, pp. 2045 - 2055, http://dx.doi.org/10.1016/j.camwa.2013.08.029

Le KN; Tran T, 2013, 'A convergent finite element approximation for the quasi-static Maxwell-Landau-Lifshitz-Gilbert equations', Computers and Mathematics with Applications, vol. 66, pp. 1389 - 1402, http://dx.doi.org/10.1016/j.camwa.2013.08.009

Le K-N; Tran T, 2013, 'A convergent finite element approximation for the quasi-static Maxwell-Landau-Lifshitz-Gilbert equations', Computers and Mathematics with Applications, http://dx.doi.org/10.1016/j.camwa.2013.08.009

Pham DH; Tran T, 2012, 'A domain decomposition method for solving the hypersingular integral equation on the sphere with spherical splines', Numerische Mathematik, vol. 120, pp. 117 - 151, http://dx.doi.org/10.1007/s00211-011-0404-1

Pham DH; Tran T; Crothers S, 2012, 'An overlapping additive Schwartz preconditioner for the Laplace-Beltrami equation using spherical splines', Advances in Computational Mathematics, vol. 37, pp. 93 - 121, http://dx.doi.org/10.1007/s10444-011-9200-9

Heuer N; Tran T, 2012, 'Radial basis functions for the solution of hypersingular operators on open surfaces', Computers and Mathematics With Applications, vol. 63, pp. 1504 - 1518, http://dx.doi.org/10.1016/j.camwa.2012.03.038

Le Gia QT; Tran T, 2011, 'Additive Schwarz preconditioners for interpolation of divergence-free vector fields on spheres', ANZIAM Journal, vol. 52, pp. C742 - C758

Shaik AR; Tran NH; Rahman SS; Tran T, 2011, 'Estimating Pressure Losses in Interconnected Fracture Systems: An Integrated Tensor Approach', International Journal of Geomechanics, vol. 11, pp. 11pages, http://dx.doi.org/10.1061/(ASCE)GM.1943-5622.0000099

Costea A; Le Gia Q; Stephan E; Tran T, 2011, 'Meshless BEM and overlapping Schwarz preconditioners for exterior problems on spheroids', Studia Geophysica et Geodaetica, vol. 55, pp. 465 - 477, http://dx.doi.org/10.1007/s11200-011-0027-0

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, vol. 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, vol. 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, vol. 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, vol. 26, pp. 552 - 573, http://dx.doi.org/10.1016/j.jco.2010.06.003

Tran T; Le Gia QT; Sloan IH; Stephan EP, 2010, 'Preconditioners for pseudodifferential equations on the sphere with radial basis functions', Numerische Mathematik, vol. 115, pp. 141 - 163, http://dx.doi.org/10.1007/s00211-009-0269-8

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, vol. 59, pp. 2857 - 2871, http://dx.doi.org/10.1016/j.apnum.2008.12.033

Le Gia QT; Sloan IH; Tran T, 2009, 'Overlapping additive schwarz preconditioners for elliptic pdes on the unit sphere', Mathematics of Computation, vol. 78, pp. 79 - 101, http://dx.doi.org/10.1090/S0025-5718-08-02150-9

Tran T, 2009, 'Solutions to pseudodifferential equations using spherical radial basis functions', Bulletin of the Australian Mathematical Society, vol. 79, pp. 473 - 485, http://dx.doi.org/10.1017/S0004972709000069

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

Le Gia QT; Tran T, 2008, 'Interpolation on the sphere: a fast solution technique', ANZIAM Journal, vol. 50, pp. 354 - 370

Tran T, 2008, 'Meshless methods for pseudodifferential equations on the sphere', Oberwolfach Reports, vol. 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, vol. 50, pp. 266 - 281


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