ORCID: orcid.org/0000-0002-7245-7611

Lecture notes

• T. T. N. Nguyen
  Parameter Identification in Linear and Nonlinear PDEs pdf

Preprints

• T. T. N. Nguyen, D. Fournier, L. Gizon, T. Hohage
  Linear toroidal-inertial waves on a differentially rotating sphere with application to helioseismology:
  Modeling, forward and inverse problems
  arXiv:2507.20488 [math.AP], 34 pp arXiv code

• E. Klass, T. T. N. Nguyen, N. Cicek, Y. G. Pollack, S. Koester, A. Janshoff, A. Wald
  Determination of active forces in actomyosin systems as inverse source problems for the Stokes equation
  arXiv:2601.09356 [physics.flu-dyn] , 28 pp arXiv code

• B. Kaltenbach, C. Aarset, T. T. N. Nguyen
  Data assimilation via model reference adaptation for linear and nonlinear dynamical systems
  arXiv:2602.10920 [math.OC] , 36 pp arXiv code

Selected proceedings

• C. Aarset, T. T. N. Nguyen
  FEM-based A-optimal sensor placement for heat source inversion from final time measurement
  Domain Decomposition (to appear), 10 pp arXiv code

• C. Aarset, T. T. N. Nguyen
  Bi-level regularization via iterative mesh refinement for aeroacoustics
  Inverse Problems: Modeling and Simulation - Springer Nature, 2025, pp 149-155 doi arXiv code

• T. T. N. Nguyen, T. Hohage, D. Fournier, L. Gizon
  Inferring solar differential rotation and viscosity via passive imaging with inertial waves
  Mathematical and Numerical Aspects of Wave Propagation, 2024, pp. 215-216 doi: 10.17617/3.MBE4AA arXiv

Referred articles

• T. T. N. Nguyen
  The extended adjoint state and nonlinearity in correlation-based passive imaging
  SIAM Journal on Applied Mathematics (to appear), 23 pp arXiv

• T. T. N. Nguyen
  Sequential bi-level regularized inversion with application to hidden reaction law discovery
  Inverse Problems, 41(6), 2025, 34pp, Art. Id. 065015 doi: 10.1088/1361-6420/addf73 code

• G. Sarnighausen, T. T. N. Nguyen, T. Hohage, M. Sinha, S. Köster, T. Betz, U. S. Schwarz, A. Wald
  Traction force microscopy for linear and nonlinear elastic materials as a parameter identification inverse problem
  Inverse Problems, 41(6), 2025, 30pp, Art. Id 065023 doi: 10.1088/1361-6420/add0d5 code

• T. T. N. Nguyen
  Bi-level iterative regularization for inverse problems in nonlinear PDEs
  Inverse Problems, 40(4), 2024, 36pp, Art. Id. 045020 doi: 10.1088/1361-6420/ad2905

• C. Aarset, M. Holler, T. T. N. Nguyen
  Learning-informed parameter identification in nonlinear time-dependent PDEs
  Applied Mathematics and Optimization, 88, 2023, 53pp,  Art. Id. 76 doi: 10.1007/s00245-023-10044-y code

• B. Kaltenbacher, T. T. N. Nguyen
  Discretization of parameter identification in PDEs using neural networks doi: 10.1088/1361-6420/ac9c25
  Inverse Problems, 38(12), 2022, 38pp, Art. Id. 124007     Special Issue Women in Inverse Problems

• H. Hoffmann, A. Wald, T. T. N. Nguyen
  Parameter identification for elliptic boundary value problems: an abstract framework and applications
  Inverse Problems, 38(7), 2022, 40pp, Art. Id. 075005 doi: 10.1088/1361-6420/ac6d02

• T. T. N. Nguyen, A. Wald
  On numerical aspects of parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging
  Inverse Problems and Imaging, 16(1), 2022, 29pp doi: 10.3934/ipi.2021042

• B. Kaltenbacher, T. T. N. Nguyen
  A model reference adaptive system approach for nonlinear online parameter identification
  Inverse Problems, 37(5), 2021, 26pp, Art. Id. 055006. doi: 10.1088/1361-6420/abf164

• B. Kaltenbacher, T. T. N. Nguyen, O. Scherzer.
  The tangential cone condition for some coefficient identification model problems in parabolic PDEs
  Time-dependent Problems in Imaging and Parameter Identification, Springer, 2021, pp. 121-163 doi: 10.1007/978-3-030-57784-1_5

• B. Kaltenbacher, T. T. N. Nguyen, A. Wald, T. Schuster
  Parameter identification for the Landau-Lifshitz-Gilbert equation in Magnetic Particle Imaging (MPI)
  Time-dependent Problems in Imaging and Parameter Identification, Springer, 2021, pp. 377-412 doi: 10.1007/978-3-030-57784-1_13

• T. T. N. Nguyen
  Landweber-Kaczmarz for parameter identification in time-dependent inverse problems: All-at-once versus Reduced version
  Inverse Problems, 35(3), 2019, 29pp, Art. Id. 035009 doi: 10.1088/1361-6420/aaf9ba