Journal Articles

• [New Paper in Numerical Analysis] Y. Qiu, M. B. van Gijzen, J.-W. van Wingerden, and C. Vuik. Convergence Analysis of Sweeping Preconditioner with Sequentially Semiseparable Schur Complement Approximation, to appear in IMA Journal of Numerical Analysis, 2026. Previously available as TU Delft Technical Report 15-01.
• [New Paper in Scientific Machine Learning] Y. Wang, Y. Qiu. Solving High Dimensional Stochastic Elliptic Partial Differential Equations with DenseLeNet, to appear in Communications in Computational Physics, 2026.
• S. Fang, Y. Qiu, C. Sheng, and B. Su. An FBSDE Based Stochastic Particle Approach for Hamilton–Jacobi–Bellman Equations in High Dimensions, Submitted, 2026.
• J. Huang, Y. Qiu, and R. You. Frequency-adaptive tensor neural networks for high-dimensional multi-scale problems, Submitted, 2026.
• S. Fang, Y. Qiu, and W. Zhao. Explicit Runge-Kutta schemes for Backward Stochastic Differential Equations, Submitted, 2026.
• Y. Meng, Y. Qiu. Sparse Discovery of Differential Equations based on Multi-fidelity Gaussian Process, Journal of Computational Physics, vol. 523, 113651, 2025. Previously available as ArXiv preprint ArXiv:2401:11825.
• J. Huang, Y. Qiu. Resolution Invariant Deep Operator Network for PDEs with Complex Geometries, Journal of Computational Physics, vol. 522, 113601, 2025. Previously available as ArXiv preprint arXiv 2402.00825.
• Y. Meng, J. Huang, Y. Qiu. Koopman Operator Learning Using Invertible Neural Networks, Journal of Computational Physics, vol. 501, 112795, 2024. Previously available as ArXiv preprint arXiv 2306.17396.
• J. Huang, H. Xi, L. Zhang, H. Yao, Y. Qiu, H. Wei. Conformal Prediction for Deep Classifier via Label Ranking , Proceedings of Machine Learning Research, 235: 20331-20347, 2024. Previously available as ArXiv preprint ArXiv 2310.06430.
• J. Zhou, Y. Qiu. Augmented Message Passing Stein Variational Gradient Descent, ArXiv 2305.10636, 2023.
• Y. Qiu, M. B. van Gijzen, J.-W. van Wingerden, M. Verhaegen, C. Vuik. Preconditioning Navier-Stokes Control Using Multilevel Sequentially Semiseparable Matrix Computations, Numerical Linear Algebra with Applications, 28(2): e2349, 2021 [Most Downloaded Paper]. Previously available as TU Delft Technical Report 15-04.
• Y. Qiu, S. Grundel, M. Stoll, and P. Benner. Efficient Numerical Methods for Gas Network Modeling and Simulation, Networks and Heterogeneous Media, 15(4): 653--679, 2020. Previously available as ArXiv Preprint arXiv:1807.07142.
• X. Zhou, X. Li, F. Liu, W. Ge, X. Ma, Y. Tian, G. Li, J. Zhang, Y. Qiu. The Comprehensive Evaluation Model of Power Supply Capacity for Regional-oriented Distribution Network, Neural Computing and Applications, 32: 5163–5171, 2020.
• P. Benner, Y. Qiu, M. Stoll. Low-rank Eigenvector Compression of Posterior Covariance Matrices for Linear Gaussian Inverse Problems, SIAM/ASA Journal on Uncertainty Quantification, 6(2): 965--989, 2018. Previously available as ArXiv preprint arXiv:1703.05638.
• M. Baumann, R. Astudillo, Y. Qiu, E. Ang, M.B. Van Gijzen, and R.-E. Plessix. An MSSS-Preconditioned Matrix Equation Approach for the Time-Harmonic Elastic Wave Equation at Multiple Frequencies, Computational Geosciences, 22(1): 43-61, 2018. Previously available as TU Delft Technical Report 16-04 and [Code].
• Y. Qiu, M. B. van Gijzen, J.-W. van Wingerden, M. Verhaegen, C. Vuik. Evaluation of Multilevel Sequentially Semiseparable Preconditioners on CFD Benchmark Problems Using Incompressible Flow and Iterative Solver Software, Mathematical Methods in the Applied Sciences, 41(3): 888-903, 2018. Previously available as TU Delft Technical Report 13-11.
• Y. Qiu, M. B. van Gijzen, J.-W. van Wingerden, M. Verhaegen, C. Vuik. Efficient Preconditioners for PDE-Constrained Optimization Problems with a Multilevel Sequentially SemiSeparable Matrix Structure, Electronic Transactions on Numerical Analysis, 44: 367-400, 2015. Previously available as TU Delft Technical Report 13-04.
• Y. Qiu, M. B. van Gijzen, J.-W. van Wingerden, M. Verhaegen. A Class of Efficient Preconditioners with Multilevel Sequentially Semiseparable Matrix Structure, AIP Conference Proceedings, vol: 1558, 2253--2256, 2013.

Articles in Peer-Refereed Conference Proceedings

• Y. Qiu, M. B. van Gijzen, J.-W. van Wingerden, M. Verhaegen. On the Application of a Novel Model Order Reduction Algorithm for Sequentially Semi-Separable Matrices to the Identification of One-dimensional Distributed Systems, Proceedings of the 13th European Control Conference, 2750--2755, 2014.
• Q. Sun, Y. Qiu, J. Zhou, J. Yu. Observation of Chaos in Smart Grid and Stabilization Condition via Generalized Fuzzy Hyperbolic Model, Proceedings of the 2011 Asia-Pacific Power and Energy Engineering Conference, 2011.

PhD Thesis

• Preconditioning Optimal Flow Control Problems Using Multilevel Sequentially Semiseparable Matrix Computations, ISBN: 978-94-6186-566-3, Uitgeverij BOXPress, the Netherlands.