We also continuously update our list of current preprints of institute members which include the links to arXiv.
Cooperations
The internationally recognised expertise of the faculty members is reflected in the participation of the institute in the Collaborative Research Center "Taming Complexity in PDE systems, opens an external URL in a new window" (grant SFB F65 of the FWF; deputy head: Prof. Anton ARNOLD, opens an external URL in a new window).
Furthermore, the institute is actively involved in the excellence initiatives
- "Vienna School of Mathematics" (VSM), carried out jointly by the TU Wien and the University of Vienna, and
- "Vienna Center for Partial Differential Equations" (Vienna PDE) (speaker: Prof. Ansgar JÜNGEL from the Institute of Analysis and Scientific Computing).
Publications (peer-reviewed)
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| Numerical treatment of singular ODEs using finite difference and collocation methods at reposiTUm , opens an external URL in a new windowHohenegger, M., Settanni, G., Weinmüller, E., & Wolde, M. (2024). Numerical treatment of singular ODEs using finite difference and collocation methods. Applied Numerical Mathematics, 205, 184–194. https://doi.org/10.1016/j.apnum.2024.07.002, opens an external URL in a new window
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| Deflection of dangerous middle-size LEO debris with autonomous space-based laser brooms via surgical actions at reposiTUm , opens an external URL in a new windowGambi, J. M., Phipps, C., Garcia del Pino, M. L., Mosser, J., Weinmüller, E., & Alderete, M. (2024). Deflection of dangerous middle-size LEO debris with autonomous space-based laser brooms via surgical actions. Acta Astronautica, 217, 75–88. https://doi.org/10.1016/j.actaastro.2024.01.021, opens an external URL in a new window
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| Weighted least squares collocation methods at reposiTUm , opens an external URL in a new windowBrugnano, L., Iavernaro, F., & Weinmüller, E. (2024). Weighted least squares collocation methods. Applied Numerical Mathematics, 203, 113–128. https://doi.org/10.1016/j.apnum.2024.05.017, opens an external URL in a new window
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| Weak error analysis for a nonlinear SPDE approximation of the Dean–Kawasaki equation at reposiTUm , opens an external URL in a new windowDjurdjevac, A., Kremp, H., & Perkowski, N. (2024). Weak error analysis for a nonlinear SPDE approximation of the Dean–Kawasaki equation. STOCHASTICS AND PARTIAL DIFFERENTIAL EQUATIONS-ANALYSIS AND COMPUTATIONS. https://doi.org/10.1007/s40072-024-00324-1, opens an external URL in a new window
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| Fit for Duty Assessment of Driver Fatigue based on Statistical Modelling of Cardiovascular Parameters at reposiTUm , opens an external URL in a new windowPircher, C., Bachler, M., Ahlström, C., Mayer, C. C., & Hametner, B. (2023). Fit for Duty Assessment of Driver Fatigue based on Statistical Modelling of Cardiovascular Parameters. Simulation Notes Europe, 33(4), 157–166. https://doi.org/10.11128/sne.33.tn.10663, opens an external URL in a new window
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| Quantifying a convergence theorem of Gyöngy and Krylov at reposiTUm , opens an external URL in a new windowDareiotis, K., Gerencsér, M., & Lê, K. (2023). Quantifying a convergence theorem of Gyöngy and Krylov. Annals of Applied Probability, 33(3), 2291–2323. https://doi.org/10.1214/22-AAP1867, opens an external URL in a new window
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| Mathematical and numerical study of a kinetic model describing the evolution of planetary rings at reposiTUm , opens an external URL in a new windowCharles, F., Massimini, A., & Salvarani, F. (2023). Mathematical and numerical study of a kinetic model describing the evolution of planetary rings. Computers and Mathematics with Applications, 143, 48–56. https://doi.org/10.1016/j.camwa.2023.04.029, opens an external URL in a new window
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| Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift at reposiTUm , opens an external URL in a new windowButkovsky, O., Dareiotis, K., & Gerencsér, M. (2023). Optimal Rate of Convergence for Approximations of SPDEs with Nonregular Drift. SIAM Journal on Numerical Analysis, 61(2), 1103–1137. https://doi.org/10.1137/21M1454213, opens an external URL in a new window
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| Spin-diffusion model for micromagnetics in the limit of long times at reposiTUm , opens an external URL in a new windowDi Fratta, G., Jüngel, A., Praetorius, D., & Slastikov, V. (2023). Spin-diffusion model for micromagnetics in the limit of long times. Journal of Differential Equations, 343, 467–494. https://doi.org/10.1016/j.jde.2022.10.012, opens an external URL in a new window
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| Reviewing Recommender Systems in the Medical Domain at reposiTUm , opens an external URL in a new windowBrunner, K., & Hametner, B. (2022). Reviewing Recommender Systems in the Medical Domain. Simulation Notes Europe, 32(4), 203–209. https://doi.org/10.11128/sne.32.tn.10624, opens an external URL in a new window
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| Pulse Wave Analysis by Quantified Reconstructed Attractors at reposiTUm , opens an external URL in a new windowHörandtner, C., Bachler, M., Wassertheurer, S., Breitenecker, F., & Mayer, C. (2022). Pulse Wave Analysis by Quantified Reconstructed Attractors. Simulation Notes Europe, 32(2), 69–78. https://doi.org/10.11128/sne.32.tn.10603, opens an external URL in a new window
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| Model Order Reduction of Deterministic Microscopic Models - A Case Study at reposiTUm , opens an external URL in a new windowRößler, M., & Popper, N. (2022). Model Order Reduction of Deterministic Microscopic Models - A Case Study. Simulation Notes Europe, 32(2), 79–84. https://doi.org/10.11128/sne.32.tn.10604, opens an external URL in a new window
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| Review on Monte Carlo Simulation Stopping Rules: How Many Samples Are Really Enough? at reposiTUm , opens an external URL in a new windowBicher, M., Wastian, M., Brunmeir, D., & Popper, N. (2022). Review on Monte Carlo Simulation Stopping Rules: How Many Samples Are Really Enough? Simulation Notes Europe, 32(1), 1–8. https://doi.org/10.11128/sne.32.on.10591, opens an external URL in a new window
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| Rate-optimal goal-oriented adaptive finite element method for semilinear elliptic PDEs at reposiTUm , opens an external URL in a new windowBecker, R., Brunner, M., Innerberger, M., Melenk, J. M., & Praetorius, D. (2022). Rate-optimal goal-oriented adaptive finite element method for semilinear elliptic PDEs. Computers & Mathematics with Applications, 118, 18–35. https://doi.org/10.1016/j.camwa.2022.05.008, opens an external URL in a new window
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| An approximate eigensolver for self-consistent field calculations at reposiTUm , opens an external URL in a new windowHofstätter, H., & Koch, O. (2022). An approximate eigensolver for self-consistent field calculations. Numerical Algorithms, 66, 609–641. https://doi.org/10.1007/s11075-013-9751-6, opens an external URL in a new window
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| Bilevel Training Schemes in Imaging for Total Variation ‒ Type Functionals with Convex Integrands at reposiTUm , opens an external URL in a new windowPagliari, V., Papafitsoros, K., Raită, B., & Vikelis, A. (2022). Bilevel Training Schemes in Imaging for Total Variation ‒ Type Functionals with Convex Integrands. SIAM Journal on Imaging Sciences, 15(4), 1690–1728. https://doi.org/10.1137/21M1467328, opens an external URL in a new window
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| Methods for Integrated Simulation - 10 Concepts to Integrate at reposiTUm , opens an external URL in a new windowPopper, N., Bicher, M., Breitenecker, F., Glock, B., Hafner, I., Mujica Mota, M., Mušic, G., Rippinger, C., Rössler, M., Schneckenreither, G., Urach, C., Wastian, M., Zauner, G., & Zechmeister, M. (2022). Methods for Integrated Simulation - 10 Concepts to Integrate. Simulation Notes Europe, 32(4), 225–236. https://doi.org/10.11128/sne.32.on.10627, opens an external URL in a new window
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| A growth estimate for the monodromy matrix of a canonical system at reposiTUm , opens an external URL in a new windowPruckner, R., & Woracek, H. (2022). A growth estimate for the monodromy matrix of a canonical system. Journal of Spectral Theory, 12(4), 1623–1657. https://doi.org/10.4171/JST/437, opens an external URL in a new window
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| Functional a posteriori error estimates for boundary element methods at reposiTUm , opens an external URL in a new windowKurz, S., Pauly, D., Praetorius, D., Repin, S., & Sebastian, D. (2021). Functional a posteriori error estimates for boundary element methods. Numerische Mathematik, 147, 937–966. https://doi.org/10.1007/s00211-021-01188-6, opens an external URL in a new window
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| Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver at reposiTUm , opens an external URL in a new windowHaberl, A., Praetorius, D., Schimanko, S., & Vohralík, M. (2021). Convergence and quasi-optimal cost of adaptive algorithms for nonlinear operators including iterative linearization and algebraic solver. Numerische Mathematik, 147(3), 679–725. https://doi.org/10.1007/s00211-021-01176-w, opens an external URL in a new window
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| Rate optimality of adaptive finite element methods with respect to the overall computational costs at reposiTUm , opens an external URL in a new windowGantner, G., Haberl, A., Praetorius, D., & Schimanko, S. (2021). Rate optimality of adaptive finite element methods with respect to the overall computational costs. Mathematics of Computation, 90(331), 2011–2040. https://doi.org/10.1090/mcom/3654, opens an external URL in a new window
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| Bayesian inversion for nanowire field-effect sensors at reposiTUm , opens an external URL in a new windowKhodadadian, A., Stadlbauer, B., & Heitzinger, C. (2020). Bayesian inversion for nanowire field-effect sensors. Journal of Computational Electronics, 19(1), 147–159. https://doi.org/10.1007/s10825-019-01417-0, opens an external URL in a new window
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| Modeling single-molecule stochastic transport for {DNA} exo-sequencing in nanopore sensors at reposiTUm , opens an external URL in a new windowStadlbauer, B., Mitscha-Baude, G., & Heitzinger, C. (2020). Modeling single-molecule stochastic transport for {DNA} exo-sequencing in nanopore sensors. Nanotechnology, 31(7), 075502. https://doi.org/10.1088/1361-6528/ab513e, opens an external URL in a new window
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| Modeling single-molecule stochastic transport in nanopore sensors at reposiTUm , opens an external URL in a new windowStadlbauer, B., Mitscha-Eibl, G., & Heitzinger, C. (2020). Modeling single-molecule stochastic transport in nanopore sensors. Nanotechnology, 31(7), 075502. https://doi.org/10.1088/1361-6528/ab513e, opens an external URL in a new window
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| Bayesian inversion for electrical-impedance tomography in medical imaging using the nonlinear Poisson-Boltzmann equation at reposiTUm , opens an external URL in a new windowTaghizadeh, L., Karimi, A., Stadlbauer, B., Weninger, W. J., Kaniusas, E., & Heitzinger, C. (2020). Bayesian inversion for electrical-impedance tomography in medical imaging using the nonlinear Poisson-Boltzmann equation. Computer Methods in Applied Mechanics and Engineering, 365(112959), 112959. https://doi.org/10.1016/j.cma.2020.112959, opens an external URL in a new window
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| Bayesian estimation of physical and geometrical parameters for nanocapacitor array biosensors at reposiTUm , opens an external URL in a new windowStadlbauer, B., Cossettini, A., Morales Escalante, J. A., Pasterk, D., Scarbolo, P., Taghizadeh, L., Heitzinger, C., & Selmi, L. (2019). Bayesian estimation of physical and geometrical parameters for nanocapacitor array biosensors. Journal of Computational Physics, 397, Article 108874. https://doi.org/10.1016/j.jcp.2019.108874, opens an external URL in a new window
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| Compressed Resolvents and Reduction of Spectral Problems on Star Graphs at reposiTUm , opens an external URL in a new windowBrown, B. M., Langer, H., & Tretter, C. (2019). Compressed Resolvents and Reduction of Spectral Problems on Star Graphs. Complex Analysis and Operator Theory. https://doi.org/10.1007/s11785-018-0793-6, opens an external URL in a new window
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| ARGESIM Benchmark C11 'SCARA Robot': Comparison of Basic Implementations in EXCEL and MATLAB at reposiTUm , opens an external URL in a new windowRekova, O., Pelzmann, N., Mandl, P., Hoffmann, M., Ecker, H., Körner, A., Bicher, M., & Breitenecker, F. (2019). ARGESIM Benchmark C11 “SCARA Robot”: Comparison of Basic Implementations in EXCEL and MATLAB. SNE Simulation Notes Europe, 29(3), 149–158. https://doi.org/10.11128/sne.29.bne11.10488, opens an external URL in a new window
At the Institute of Analysis and Scientific Computing, over 60 scientists in more than 15 research groups are working on problems in pure and applied mathematics. Most of our research topics are from the TU Wien's focal areas of research in Computational Science and Engineering as well as Quantum Physics and Quantum Technologies. For us it is paramount to further development mathematics and its appliance.
Projects
Currently, around 25 projects with a total funding volume of more than € 13 Mio are running at the Institute of Analysis and Scientific Computing, funded by various organisations, including FWF, WWTF, AIT, EU, and Siemens.
- We have put together a list of all our current projects.
In particular, we would like to highlight the following projects:
- Elise-Richter Project "Computational Uncertainty Quantification in Nanotechnology" by Dr. Leila TAGHIZADEH
- FWF START Project "Tunable materials: geometry, nonlocality, chirality" by Prof. Elisa DAVOLI
- ERC Starting Grant "Stochastic PDEs and renormalisation" by Prof. Mate GERENCSER
- ERC Consolidator Grant „New Frontiers in Optimal Adaptivity“ by Prof. Michael FEISCHL
- ERC Advanced Grant "Emerging Network Structures and Neuromorphic Applications" by Prof. Ansgar JÜNGEL