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Davoli, E., Fonseca, I., & Liu, P. (2023). Adaptive Image Processing: First Order PDE Constraint Regularizers and a Bilevel Training Scheme. Journal of Nonlinear Science, 33(3), Article 41. https://doi.org/10.1007/s00332-023-09902-4, opens an external URL in a new window

Di Fratta, G., Pfeiler, C.-M., Praetorius, D., & Ruggeri, M. (2023). The Mass-Lumped Midpoint Scheme for Computational Micromagnetics: Newton Linearization and Application to Magnetic Skyrmion Dynamics. Computational Methods in Applied Mathematics, 23(1), 145–175. https://doi.org/10.1515/cmam-2022-0060, opens an external URL in a new window

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Böck, M., Malle, J., Pasterk, D., Kukina, H., Hasani, R., & Heitzinger, C. (2022). Superhuman performance on sepsis MIMIC-III data by distributional reinforcement learning. PLoS ONE, 17(11), Article e0275358. https://doi.org/10.1371/journal.pone.0275358, opens an external URL in a new window

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Faustmann, M., Melenk, J. M., & Parvizi, M. (2022). 𝘏-matrix approximability of inverses of FEM matrices for the time-harmonic Maxwell equations. Advances in Computational Mathematics, 48(5), Article 59. https://doi.org/10.1007/s10444-022-09965-z, opens an external URL in a new window

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Morales Escalante, J. A., & Heitzinger, C. (2022). Stochastic Galerkin methods for the Boltzmann-Poisson system. Journal of Computational Physics, 466, Article 111400. https://doi.org/10.1016/j.jcp.2022.111400, opens an external URL in a new window

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Rieder, A., Sayas, F.-J., & Melenk, J. M. (2022). Time domain boundary integral equations and convolution quadrature for scattering by composite media. Mathematics of Computation, 91(337), 2165–2195. https://doi.org/10.1090/mcom/3730, opens an external URL in a new window

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Jalaeian Zaferani, E., Teshnehlab, M., Khodadadian, A., Heitzinger, C., Vali, M., Noii, N., & Wick, T. (2022). Hyper-Parameter Optimization of Stacked Asymmetric Auto-Encoders for Automatic Personality Traits Perception. Sensors, 22(16), Article 6206. https://doi.org/10.3390/s22166206, opens an external URL in a new window

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Khodadadian, A., Parvizi, M., Teshnehlab, M., & Heitzinger, C. (2022). Rational Design of Field-Effect Sensors Using Partial Differential Equations, Bayesian Inversion, and Artificial Neural Networks. Sensors, 22(13), Article 4785. https://doi.org/10.3390/s22134785, opens an external URL in a new window

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Böck, M., & Heitzinger, C. (2022). Speedy Categorical Distributional Reinforcement Learning and Complexity Analysis. SIAM Journal on the Mathematics of Data Science, 4(2), 675–693. https://doi.org/10.1137/20M1364436, opens an external URL in a new window

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Hanser, V., Schöbinger, M., & Hollaus, K. (2022). A mixed multiscale FEM for the eddy current problem with T,Φ-Φ and vector hysteresis. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(3), 852–866. https://doi.org/10.1108/COMPEL-02-2021-0053, opens an external URL in a new window

Hollaus, K., Bauer, S., Leumüller, M., & Türk, C. (2022). Measurement and modeling of effective cable parameters of unshielded conductors. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 41(3), 1041–1051. https://doi.org/10.1108/COMPEL-03-2021-0098, opens an external URL in a new window

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Barletti, L., Holzinger, P., & Jüngel, A. (2022). Formal derivation of quantum drift-diffusion equations with spin-orbit interaction. Kinetic and Related Models, 15(2), 257–282. https://doi.org/10.3934/krm.2022007, opens an external URL in a new window

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Tomeva, E., Switzeny, O., Heitzinger, C., Hippe, B., & Haslberger, A. G. (2022). Comprehensive Approach to Distinguish Patients with Solid Tumors from Healthy Controls by Combining Androgen Receptor Mutation p.H875Y with Cell-Free DNA Methylation and Circulating miRNAs. Cancers, 14(2), Article 462. https://doi.org/10.3390/cancers14020462, opens an external URL in a new window

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Abbaszadeh, M., Dehghan, M., Khodadadian, A., & Heitzinger, C. (2022). Application of direct meshless local Petrov–Galerkin method for numerical solution of stochastic elliptic interface problems. Numerical Methods for Partial Differential Equations, 38(5), 1271–1292. https://doi.org/10.1002/num.22742, opens an external URL in a new window

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Stadlbauer, 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

Stadlbauer, 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

Sturm, K. (2020). First-order differentiability properties of a class of equality constrained optimal value functions with applications to shape optimization. Journal of Nonsmooth Analysis and Optimization. https://doi.org/10.46298/jnsao-2020-6034, opens an external URL in a new window

Sturm, K. (2020). Topological sensitivities via a Lagrangian approach for semilinear problems. Nonlinearity, 33(9), 4310–4337. https://doi.org/10.1088/1361-6544/ab86cb, opens an external URL in a new window

Taghizadeh, L., Karimi, A., & Heitzinger, C. (2020). Uncertainty quantification in epidemiological models for the COVID-19 pandemic. Computers in Biology and Medicine, 125(104011), 104011. https://doi.org/10.1016/j.compbiomed.2020.104011, opens an external URL in a new window

Taghizadeh, L., Karimi, A., Presterl, E., & Heitzinger, C. (2020). Bayesian inversion for a biofilm model including quorum sensing. Computers in Biology and Medicine, 117, Article 103582. https://doi.org/10.1016/j.compbiomed.2019.103582, opens an external URL in a new window

Taghizadeh, 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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Werginz, P., Raghuram, V., & Fried, S. I. (2020). Tailoring of the Axon Initial Segment shapes the conversion of synaptic inputs into spiking output in OFF-alpha T retinal ganglion cells. Science Advances, 6(37). https://doi.org/10.1126/sciadv.abb6642, opens an external URL in a new window

Werginz, P., Raghuram, V., & Fried, S. I. (2020). The relationship between morphological properties and thresholds to extracellular electric stimulation in alpha RGCs. Journal of Neural Engineering, 17(4), Article 045015. https://doi.org/10.1088/1741-2552/abab47, opens an external URL in a new window

Werginz, P., Wang, B.-Y., Chen, Z. C., & Palanker, D. (2020). On optimal coupling of the “electronic photoreceptors” into the degenerate retina. Journal of Neural Engineering, 17(4), Article 045008. https://doi.org/10.1088/1741-2552/aba0d2, opens an external URL in a new window

Hollaus, K., & Schöbinger, M. (2019). Air Gap and Edge Effect in the 2-D/1-D Method With the Magnetic Vector Potential A Using MSFEM. IEEE Transactions on Magnetics, 56(1), 1–5. https://doi.org/10.1109/tmag.2019.2949004, opens an external URL in a new window

Jüngel, A., Stefanelli, U., & Trussardi, L. (2019). Two structure-preserving time discretizations for gradient flows. Applied Mathematics and Optimization, 80(3), 733–764. https://doi.org/10.1007/s00245-019-09605-x, opens an external URL in a new window

Stadlbauer, 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

Daus, E. S., Jüngel, A., & Tang, B. Q. (2019). Exponential Time Decay of Solutions to Reaction-Cross-Diffusion Systems of Maxwell–Stefan Type. Archive for Rational Mechanics and Analysis, 235(2), 1059–1104. https://doi.org/10.1007/s00205-019-01439-9, opens an external URL in a new window

Schöbinger, M., Steentjes, S., Schöberl, J., Hameyer, K., & Hollaus, K. (2019). MSFEM for the Eddy Current Problem in a Laminated Core Including Hysteresis. IEEE Transactions on Magnetics, 55(8), 1–9. https://doi.org/10.1109/tmag.2019.2907894, opens an external URL in a new window

Schroeder, P. W., John, V., Lederer, P. L., Lehrenfeld, C., Lube, G., & Schöberl, J. (2019). On reference solutions and the sensitivity of the 2d Kelvin-Helmholtz instability problem. Computers and Mathematics with Applications, 77(4), 1010–1028. https://doi.org/10.1016/j.camwa.2018.10.030, opens an external URL in a new window

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Abbaszadeh, M., Khodadadian, A., Parvizi, M., Dehghan, M., & Heitzinger, C. (2019). A direct meshless local collocation method for solving stochastic Cahn–Hilliard–Cook and stochastic Swift–Hohenberg equations. Engineering Analysis with Boundary Elements, 98, 253–264. https://doi.org/10.1016/j.enganabound.2018.10.021, opens an external URL in a new window

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Auzinger, W., Březinová, I., Hofstätter, H., Koch, O., & Quell, M. (2019). Practical Splitting Methods for the Adaptive Integration of Nonlinear Evolution Equations. Part II: Comparison of Local Error Estimation and Step-Selection Strategies for Nonlinear Schrödinger and Wave Equations. Computer Physics Communications, 234, 55–71. https://doi.org/10.1016/j.cpc.2018.08.003, opens an external URL in a new window

Auzinger, W., Hofstätter, H., & Koch, O. (2019). Non-existence of generalized splitting methods with positive coefficients of order higher than four. Applied Mathematics Letters, 97, 48–52. https://doi.org/10.1016/j.aml.2019.05.017, opens an external URL in a new window

Auzinger, W., Hofstätter, H., & Koch, O. (2019). Symmetrized local error estimators for time-reversible one-step methods in nonlinear evolution equations. Journal of Computational and Applied Mathematics, 356, 339–357. https://doi.org/10.1016/j.cam.2019.02.011, opens an external URL in a new window

Auzinger, W., Hofstätter, H., Koch, O., Kropielnicka, K., & Singh, P. (2019). Time adaptive Zassenhaus splittings for the Schrödinger equation in the semiclassical regime. Applied Mathematics and Computation, 362, Article 124550. https://doi.org/10.1016/j.amc.2019.06.064, opens an external URL in a new window

Auzinger, W., Hofstätter, H., Koch, O., Quell, M., & Thalhammer, M. (2019). A Posteriori Error Estimation for Magnus-Type Integrators. ESAIM: Mathematical Modelling and Numerical Analysis, 53(1), 197–218. https://doi.org/10.1051/m2an/2018050, opens an external URL in a new window

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Betcke, T., Haberl, A., & Praetorius, D. (2019). Adaptive boundary element methods for the computation of the electrostatic capacity on complex polyhedra. Journal of Computational Physics, 397, Article 108837. https://doi.org/10.1016/j.jcp.2019.07.036, opens an external URL in a new window

Blankrot, B., & Heitzinger, C. (2019). Design of aperiodic demultiplexers and optical diodes by optimizing photonic crystals. OSA Continuum, 2(7), 2244. https://doi.org/10.1364/osac.2.002244, opens an external URL in a new window

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Chen, X., & Jüngel, A. (2019). Weak-strong uniqueness of renormalized solutions to reaction-cross-diffusion systems. MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 29(02), 237–270. https://doi.org/10.1142/s0218202519500088, opens an external URL in a new window

Cornel, D., Buttinger-Kreuzhuber, A., Konev, A., Horváth, Z., Wimmer, M., Heidrich, R., & Waser, J. (2019). Interactive Visualization of Flood and Heavy Rain Simulations. In Computer Graphics Forum (pp. 25–39). Computer Graphics Forum.

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Daus, E. S., Milišić, P., & Zamponi, N. (2019). Analysis of a degenerate and singular volume-filling cross-diffusion system modeling biofilm growth. SIAM Journal on Mathematical Analysis, 51(4), 3569–3605. https://doi.org/10.1137/18m1185806, opens an external URL in a new window

Dehghan, M., Abbaszadeh, M., Khodadadian, A., & Heitzinger, C. (2019). Galerkin proper orthogonal decomposition reduced order method (POD-ROM) for solving the generalized Swif}-Hohenberg equation. International Journal of Numerical Methods for Heat and Fluid Flow, 29(8), 2642–2665. https://doi.org/10.1108/hff-11-2018-0647, opens an external URL in a new window

Dhariwal, G., Jüngel, A., & Zamponi, N. (2019). Global Martingale solutions for a stochastic population cross-diffusion system. Stochastic Processes and Their Applications, 129(10), 3792–3820. https://doi.org/10.1016/j.spa.2018.11.001, opens an external URL in a new window

Di Fratta, G., Führer, T., Gantner, G., & Praetorius, D. (2019). Adaptive Uzawa algorithm for the Stokes equation. ESAIM: Mathematical Modelling and Numerical Analysis, 53(6), 1841–1870. https://doi.org/10.1051/m2an/2019039, opens an external URL in a new window

Dick, J., Feischl, M., & Schwab, C. (2019). Improved efficiency of a multi-index FEM for computational uncertainty quantification. SIAM Journal on Numerical Analysis, 57(4), 1744–1769. https://doi.org/10.1137/18m1193700, opens an external URL in a new window

Dlotko, P., Kapidani, B., Pitassi, S., & Specogna, R. (2019). Fake Conductivity or Cohomology: Which to Use When Solving Eddy Current Problems With h -Formulations? IEEE Transactions on Magnetics, 55(6), 1–4. https://doi.org/10.1109/tmag.2019.2906099, opens an external URL in a new window

Erath, C., & Praetorius, D. (2019). Adaptive vertex-centered finite volume methods for general second-order linear elliptic PDEs. IMA Journal of Numerical Analysis, 39(2), 983–1008. https://doi.org/10.1093/imanum/dry006, opens an external URL in a new window

Erath, C., & Praetorius, D. (2019). Optimal adaptivity for the SUPG finite element method. Computer Methods in Applied Mechanics and Engineering, 353, 308–327. https://doi.org/10.1016/j.cma.2019.05.028, opens an external URL in a new window

Feischl, M. (2019). Optimality of a standard adaptive finite element method for the Stokes problem. SIAM Journal on Numerical Analysis, 57(3), 1124–1157. https://doi.org/10.1137/17m1153170, opens an external URL in a new window

Fellner, A., Stiennon, I., & Rattay, F. (2019). Analysis of upper threshold mechanisms of spherical neurons during extracellular stimulation. Journal of Neurophysiology, 121(4), 1315–1328. https://doi.org/10.1152/jn.00700.2018, opens an external URL in a new window

Führer, T., Gantner, G., Praetorius, D., & Schimanko, S. (2019). Optimal additive Schwarz preconditioning for adaptive 2D IGA boundary element methods. Computer Methods in Applied Mechanics and Engineering, 351, 571–598. https://doi.org/10.1016/j.cma.2019.03.038, opens an external URL in a new window

Führer, T., Haberl, A., Praetorius, D., & Schimanko, S. (2019). Adaptive BEM with inexact PCG solver yields almost optimal computational costs. Numerische Mathematik, 141(4), 967–1008. https://doi.org/10.1007/s00211-018-1011-1, opens an external URL in a new window

Gerstenmayer, A., & Jüngel, A. (2019). Comparison of a finite-element and finite-volume scheme for a degenerate cross-diffusion system for ion transport. Journal of Computational and Applied Mathematics, 35, Article 108. https://doi.org/10.1007/s40314-019-0882-9, opens an external URL in a new window

Gopalakrishnan, J., Lederer, P. L., & Schöberl, J. (2019). A mass conserving mixed stress formulation for the Stokes equations. IMA Journal of Numerical Analysis, 40(3), 1838–1874. https://doi.org/10.1093/imanum/drz022, opens an external URL in a new window

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Hametner, B., Bauer, A., & Wassertheurer, S. (2019). Unveiling the Vascular Mechanisms Behind Long‐Term Effects of Coarctation Treatment Using Pulse Wave Dynamics. Journal of the American Heart Association Cardiovascular and Cerebrovascular Disease, 8(7). https://doi.org/10.1161/jaha.119.012278, opens an external URL in a new window

Hollaus, K. (2019). A MSFEM to simulate the eddy current problem in laminated iron cores in 3D. COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering, 38(5), 1667–1682. https://doi.org/10.1108/compel-12-2018-0538, opens an external URL in a new window

Hollaus, K., Schöberl, J., & Schöbinger, M. (2019). MSFEM and MOR to Minimize the Computational Costs of Nonlinear Eddy-Current Problems in Laminated Iron Cores. IEEE Transactions on Magnetics, 56(2), 1–4. https://doi.org/10.1109/tmag.2019.2954392, opens an external URL in a new window

Hrkac, G., Pfeiler, C.-M., Praetorius, D., Ruggeri, M., Segatti, A., & Stiftner, B. (2019). Convergent tangent plane integrators for the simulation of chiral magnetic skyrmion dynamics. Advances in Computational Mathematics, 45(3), 1329–1368. https://doi.org/10.1007/s10444-019-09667-z, opens an external URL in a new window

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Iuorio, A., Popović, N., & Szmolyan, P. (2019). Singular perturbation analysis of a regularized MEMS mode. SIAM Journal on Applied Dynamical Systems, 18(2), 661–708. https://doi.org/10.1137/18m1197552, opens an external URL in a new window

Jüngel, A., & Leingang, O. (2019). Blow-up of solutions to semi-discrete parabolic-elliptic Keller-Segel models. Discrete and Continuous Dynamical Systems - Series A, 24, 4755–4782.

Jüngel, A., & Leingang, O. (2019). Convergence of an implicit Euler Galerkin scheme for Poisson–Maxwell–Stefan systems. Advances in Computational Mathematics, 45(3), 1469–1498. https://doi.org/10.1007/s10444-019-09674-0, opens an external URL in a new window

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Kapidani, B., & Schöberl, J. (2019). A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in open domians. In M. Kaltenbacher, J. M. Melenk, L. Nannen, & F. Toth (Eds.), Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation (pp. 432–433). Proceedings of the 14th International Conference on Mathematical and Numerical Aspects of Wave Propagation. https://doi.org/10.34726/waves2019, opens an external URL in a new window

Kapidani, B., Codecasa, L., & Specogna, R. (2019). The Time-Domain Cell Method Is a Coupling of Two Explicit Discontinuous Galerkin Schemes With Continuous Fluxes. IEEE Transactions on Magnetics, 56(1), 1–4. https://doi.org/10.1109/tmag.2019.2952015, opens an external URL in a new window

Kapidani, B., Passarotto, M., & Specogna, R. (2019). Exploiting Cyclic Symmetry in Stream Function-Based Boundary Integral Formulations. IEEE Transactions on Magnetics, 55(6), 1–4. https://doi.org/10.1109/tmag.2018.2889711, opens an external URL in a new window

Karkulik, M., & Melenk, J. M. (2019). H-matrix approximability of inverses of discretizations of the fractional Laplacian. Advances in Computational Mathematics, 45(5–6), 2893–2919. https://doi.org/10.1007/s10444-019-09718-5, opens an external URL in a new window

Kraus, J., Pfeiler, C.-M., Praetorius, D., Ruggeri, M., & Stiftner, B. (2019). Iterative solution and preconditioning for the tangent plane scheme in computational micromagnetics. Journal of Computational Physics, 398, Article 108866. https://doi.org/10.1016/j.jcp.2019.108866, opens an external URL in a new window

Lackner, C., Meng, S., & Monk, P. (2019). Determination of electromagnetic Bloch variety in a medium with frequency-dependent coefficients. Journal of Computational and Applied Mathematics, 358, 359–373. https://doi.org/10.1016/j.cam.2019.03.027, opens an external URL in a new window

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