Dr. Thanh Son Nguyen
Research Associate
Numerische Mathematik
| Telefon: | +49 821 598-4837 |
| E-Mail: | thanh.nguyen@math.uni-augsburg.de |
| Raum: | 2314 (I) |
| Sprechzeiten: | by appointment |
| Adresse: | Universitätsstraße 12a, 86159 Augsburg |
Publikationen
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[11]
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N. T. Son, T. Stykel, Symplectic eigenvalues of positive-semidefinite matrices and the trace minimization theorem, arXiv:2208.0529 [math.OC], 2022. |
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[10]
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N.T. Son, P.-A. Absil, B. Gao, T. Stykel, Computing symplectic eigenpairs of symmetric positive-definite matrices via trace minimization and Riemannian optimization, SIAM Journal on Matrix Analysis and Applications 42(4), 1732-1757, 2021. |
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[9]
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B. Gao, N.T. Son, P.-A. Absil, T. Stykel, Geometry of the symplectic Stiefel manifold endowed with the Euclidean metric, pp. 789 - 796 In: Nielsen F., Barbaresco F. (eds) Geometric Science of Information. GSI 2021. Lecture Notes in Computer Science, vol 12829. Springer, Cham. |
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[8]
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B. Gao, N.T. Son, P.-A. Absil, T. Stykel, Riemannian Optimization on the Symplectic Stiefel Manifold, SIAM Journal on Optimization 31(2), 1546-1575, 2021. |
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[7]
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N.T. Son, P.-Y. Gousenbouger, E. Massart, T. Stykel, Balanced truncation for parametric linear systems using interpolation of Gramians: a comparison of algebraic and geometric approaches In: Benner P., Breiten T., Faßbender H., Hinze M., Stykel T., Zimmermann R. (eds) Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics, vol 171. Birkhäuser, pp. 31-51, 2021. |
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[6]
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D.N. Hao, T.N.T. Quyen, N.T. Son, Convergence analysis of a Crank-Nicolson Galerkin method for an inverse source problem for parabolic systems with boundary observations, Applied Mathematics and Optimization, 84(2), 2289 - 2325, 2021. |
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[5]
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N.T. Son, P.-Y. Gousenbourger, E. Massart, P.-A. Absil: Online balanced truncation for linear time-varying systems using continuously differentiable interpolation on Grassmann manifold, Proceedings of 6th International Conference on Control, Decision and Information Technologies, April 23-26, 2019, Paris, France (CoDIT'19), pp. 165 - 170 |
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[4]
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E. Massart, P.-Y. Gousenbourger, N.T. Son, T. Stykel, P.-A. Absil: Interpolation in the manifold of fixed-rank positive-semidefinite matrices for parametric model order reduction: preliminary results, Proceedings of European Symposium on Artificial Neural Networks, Computational Intelligence and Machine Learning, April 24-26, 2019, Bruges, Belgium, (ESANN 2019), pp. 281-286 |
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[3]
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N.T. Son, T. Stykel: Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction, SIAM Journal on Matrix Analysis and Applications, 38(2), 479-504, 2017 |
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[2]
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N.T. Son, T. Stykel: Model order reduction of parameterized circuit equations based on interpolation, Advances in Computational Mathematics, 41(5), 1321-1342, 2015 |
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[1]
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N.T. Son: A real time procedure for affinely dependent parametric model order reduction using interpolation on Grassmann manifolds, International Journal for Numerical Methods in Engineering, 93(8), 818-833, 2013 |