Research output per year
Research output per year
Personal profile
Research profile
I am interested in non-linear SPDEs, especially concerning well-posedness and approximation in time and space. My results include optimal pathwise uniform convergence rates for the temporal approximation of a broad class of hyperbolic SPDEs. Extending this class further to include more non-linearities is part of my current work. Moreover, I am always intrigued by applications of (C0-)semigroup theory and enjoy working at the intersection of stochastic, numerical, and functional analysis.
I gratefully acknowledge the support of my research by a Feodor Lynen research fellowship awarded by the Alexander von Humboldt foundation.
Education/Academic qualification
Doctorate, Approximation of Evolution Equations with random data, Hamburg University of Technology
Apr 2020 → Sept 2024
Award Date: 17 Sept 2024
Master's degree, Industrial Mathematics, Universität Hamburg
Apr 2018 → Mar 2020
Award Date: 18 Mar 2020
Bachelor's degree, Industrial Mathematics, Hamburg University of Technology
Sept 2014 → Mar 2018
Award Date: 29 Mar 2018
Keywords (LCC)
- Q Science (General)
- mathematics
- SPDEs
- evolution equations
- approximation
- nonlinear equations
- convergence rates
- semigroup theory
- functional analysis
- numerical analysis
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Collaborations and top research areas from the last five years
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Approximation of evolution equations with random data
Klioba, K., 2024, 185 p.Research output: Other contribution › Scientific
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Pathwise uniform convergence of time discretization schemes for SPDEs
Klioba, K. & Veraar, M. C., 2024, In: IMA Journal of Numerical Analysis . 72 p.Research output: Contribution to journal › Article › Scientific › peer-review
Open AccessFile15 Downloads (Pure) -
QuADTool: Attack-Defense-Tree Synthesis, Analysis and Bridge to Verification
Dorfhuber, F., Eisentraut, J., Klioba, K. & Křetínský, J., 2024, Quantitative Evaluation of Systems and Formal Modeling and Analysis of Timed Systems . 20 p.Research output: Chapter in Book/Conference proceedings/Edited volume › Chapter › Scientific › peer-review
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Temporal approximation of stochastic evolution equations with irregular nonlinearities
Klioba, K. & Veraar, M., 2024, In: Journal of Evolution Equations. 24, 2, p. 1-34 34 p., 43.Research output: Contribution to journal › Article › Scientific › peer-review
Open AccessFile47 Downloads (Pure) -
Assessing Security of Cryptocurrencies with Attack-Defense Trees: Proof of Concept and Future Directions
Eisentraut, J., Holzer, S., Klioba, K., Křetínský, J., Pin, L. & Wagner, A., 2021, Theoretical Aspects of Computing – ICTAC 2021. Cerone, A. & Olveczky, P. C. (eds.). p. 214-234 21 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 12819 LNCS).Research output: Chapter in Book/Conference proceedings/Edited volume › Conference contribution › Scientific › peer-review
Prizes
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Feodor Lynen research fellowship
Klioba, K. (Recipient), 1 Feb 2025
Prize: Fellowship awarded competitively
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Member of the EMS Young Academy (EMYA)
Klioba, K. (Recipient), 1 Jan 2025
Prize: National/international honour