Publications per year
Publications per year
Personal profile
Profile
Per Christian Hansen is a VILLUM Investigator and his research focuses on computational methods for the solution of inverse problems in, e.g., tomography and image deblurring. Recently his reseach also involves computational methods for uncertainty quantification of inverse problems. His h-index is 54 (2024) and he is a SIAM Fellow.
Per Christian Hansen is professor of Scientific Computing at the Department of Informatics and Mathematical Modelling (DTU Compute). He was awarded the Danish Dr. Techn. doctoral degree in 1996 from DTU in the area of numerical analysis. He has spent several research visits at American universities, such as Stanford University, UCLA, Emory University, and Tufts University.
Per Christian Hansen teaches numerical methods and inverse problems. He has published 5 books on numerical methods and inverse problems and more than 120 scientific papers in international journals.
Other information
1986: Research Associate (6 months), Department of Computer Science, Stanford University, supported by a Fulbright Grant.
1988: Research Associate (1 month), Department of Mathematics, Oak Ridge National Laboratory, during the Numerical Linear Algebra Year.
1989: Research Associate (7 months), Dept. of Mathematics, UCLA.
1990: Visiting Scholar (1 month), Mathematics and Computer Science Division, Argonne National Laboratory.
1992: Visiting Scholar (1 month), University of California, Berkeley.
2004: Visiting Scholar (1 month), Department of Mathematics and Computer Science, Emory University, Atlanta.
2006: Visiting Scholar (1 month), Dept. of Mathematics, Tufts University, Medford.
Language Skills:
Danish (fluent)
English (fluent)
Research areas
Professor Per Christian Hansen has worked with numerical regularization methods for 35 years, and he has published 5 books and 120+ papers in leading journals. He has developed several related software packages for inverse problems, such as "Regularization Tools", "IR Tools", and "AIR Tools II".
His current research projects involve inverse problems and image deblurring, tomography in material science and tokamak plasma, and computational uncertainty quantification.
Expertise related to UN Sustainable Development Goals
In 2015, UN member states agreed to 17 global Sustainable Development Goals (SDGs) to end poverty, protect the planet and ensure prosperity for all. This person’s work contributes towards the following SDG(s):
Education/Academic qualification
PhD (lic. techn.) in numerisk analyse, DTU
1982 → 1985
PhD, Numerical Analysis, Technical University of Denmark
1982 → 1985
Civilingeniør (elektro), DTU
1977 → 1982
MSc, Electrical Engineering, Technical University of Denmark
1977 → 1982
External positions
Professor in Scientific Computing, Technical University of Denmark
1996 → …
Senior Consultant, UNI-C
1988 → 1996
Research Associate, Copenhagen University
1985 → 1988
Research Fellow, Technial University of Denmark
1985
Keywords
- User defined:
- Computational methods for inverse problems
- Iterative regularization
- Computational uncertainty quantification
- Numerical Analysis
- Matlab packages
- Matrix computations
- Regularization methods
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Collaborations and top research areas from the last five years
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CUQIpy: I. Computational uncertainty quantification for inverse problems in Python
Riis, N. A. B., Alghamdi, A. M. A., Uribe, F., Christensen, S. L., Afkham, B. M., Hansen, P. C. & Jørgensen, J. S., 2024, In: Inverse Problems. 40, 4, 37 p., 045009 .Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile69 Downloads (Pure) -
CUQIpy: II. Computational uncertainty quantification for PDE-based inverse problems in Python
Alghamdi, A. M. A., Riis, N. A. B., Afkham, B. M., Uribe, F., Christensen, S. L., Christian Hansen, P. & Jørgensen, J. S., 2024, In: Inverse Problems. 40, 4, 38 p., 045010 .Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile53 Downloads (Pure) -
Orbit tomography in constants-of-motion phase-space
Rud, M., Moseev, D., Jaulmes, F., Bogar, K., Dong, Y., Hansen, P. C., Eriksson, J., Järleblad, H., Nocente, M., Prechel, G., Reman, B. C. G., Schmidt, B., Snicker, A., Stagner, L., Valentini, A. & Salewski, M., 2024, In: Nuclear Fusion. 64, 7, 20 p., 076018.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile10 Downloads (Pure) -
4D and 5D phase-space tomography using slowing-down physics regularization
Schmidt, B. S., Salewski, M., Moseev, D., Baquero-Ruiz, M., Hansen, P. C., Eriksson, J., Ford, O., Gorini, G., Järleblad, H., Kazakov, Y. O., Kulla, D., Lazerson, S., Mencke, J. E., Mykytchuk, D., Nocente, M., Poloskei, P., Rud, M., Snicker, A., Stagner, L. & Äkäslompolo, S., 2023, In: Nuclear Fusion. 63, 7, 13 p., 076016.Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile57 Downloads (Pure) -
Horseshoe Priors for Edge-Preserving Linear Bayesian Inversion
Uribe, F., Dong, Y. & Hansen, P. C., 2023, In: SIAM Journal on Scientific Computing. 45, 3, p. B337-B365Research output: Contribution to journal › Journal article › Research › peer-review
Open AccessFile3 Downloads (Pure)
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Bayesian Inference for Inverse Problems with Sampling Conditioned on Functionals
Karamehmedovic, M. (Main Supervisor), Baalbaki, L. (PhD Student), Hansen, P. C. (PI) & Triki, F. (Supervisor)
01/12/2022 → 30/11/2025
Project: Research
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Bayesian Inference for Inverse Problems with Sampling Conditioned on Functionals
Baalbaki, L. (PhD Student), Karamehmedovic, M. (Main Supervisor), Hansen, P. C. (Supervisor) & Triki, F. (Supervisor)
01/12/2022 → 30/11/2025
Project: PhD
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EPOS: Efficient Parallel algorithms for Optimization and Simulation
Madsen, K. (Project Manager), Clausen, J. (Project Participant), Barker, V. A. (Project Participant), Hansen, P. C. (Project Participant), Madsen, O. B. G. (Project Participant), Nielsen, H. B. (Project Participant), Thomsen, P. G. (Project Participant), Sørensen, J. N. (Project Participant), Wasniewski, J. (Project Participant) & Caprani, O. (Other)
03/02/1995 → …
Project: Research
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Uncertainty Quantification for Source Localization and Passive Imaging in Random Media
Linder-Steinlein, K. (PhD Student), Karamehmedovic, M. (Main Supervisor), Hansen, P. C. (Supervisor), Triki, F. (Supervisor), Garnier, J. (Examiner) & Miranville, A. (Examiner)
01/02/2021 → 10/06/2024
Project: PhD
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Uncertainty quantification for tomografisk rekonstruktion
Christensen, S. W. (PhD Student), Jørgensen, J. S. (Main Supervisor), Hansen, P. C. (Supervisor), Hansen, T. M. (Examiner) & Roininen, L. (Examiner)
01/08/2020 → 06/09/2024
Project: PhD