Michael Multerer
http://usi.to/3ps
Publications
Key publications (2)
- Harbrecht H., Multerer M. (2022) Algorithmische Mathematik
- Harbrecht H., Multerer M. (2022) Samplets. Construction and scattered data compression
Journal Article (31)
- Harbrecht H., Multerer M., Schenk O., Schwab C. (2024) Multiresolution kernel matrix algebra, Numerische Mathematik
- Multerer M., Schneider P., Sen R. (2024) Fast empirical scenarios, Journal of Computational Mathematics and Data Science
- Dölz J., Harbrecht H., Jerez-Hanckes C., Multerer M. (2022) Isogeometric multilevel quadrature for forward and inverse random acoustic scattering, Computer Methods in Applied Mechanics and Engineering, 388
- Harbrecht H., Multerer M. (2022) Samplets. Construction and scattered data compression, Journal of computational physics, 471
- Harbrecht H., Multerer M., von Rickenbach R. (2022) Isogeometric shape optimization of periodic structures in three dimensions, Computer methods in applied mechanics and engineering, 391
- Huang W., Multerer M. (2022) Isogeometric analysis of diffusion problems on random surfaces, Applied numerical mathematics, 179
- Eigel M., Marschall M., Multerer M. (2020) An adaptive stochastic Galerkin tensor train discretization for randomly perturbed domains, SIAM/ASA Journal on Uncertainty Quantification, 8 (3)
- Dölz J., Harbrecht H., Kurz S., Multerer M., Schöps S., Wolf F. (2020) Bembel: The Fast Isogeometric Boundary Element C++ Library for Laplace, Helmholtz, and Electric Wave Equation, SoftwareX, 11
- Griebel M., Harbrecht H., Multerer M. (2020) Multilevel quadrature for elliptic parametric partial differential equations in case of polygonal approximations of curved domains, SIAM Journal on Numerical Analysis, 58 (1)
- Dölz J., Harbrecht H., Multerer M. (2019) On the best approximation of the hierarchical matrix product, SIAM Journal on Matrix Analysis and Applications, 40 (1)
- Harbrecht H., Multerer M., Ilić N. (2019) Rapid computation of far-field statistics for random obstacle scattering, Engineering Analysis with Boundary Elements, 101
- Multerer M. (2019) A note on the domain mapping method with rough diffusion coefficients, Applied Numerical Mathematics, 145
- Barac D., Multerer M., Iber D. (2019) Global optimization using Gaussian processes to estimate biological parameters from image data, Journal of Theoretical Biology, 481
- Haji-Ali A. L., Harbrecht H., Multerer M., Siebenmorgen M. (2018) Novel results for the anisotropic sparse grid quadrature, Journal of Complexity, 47
- Gantner R. N., Multerer M. (2018) Higher-order quasi-Monte Carlo for Bayesian shape inversion, SIAM/ASA Journal on Uncertainty Quantification, 6 (2)
- Harbrecht H., Multerer M. (2018) The second order perturbation approach for PDEs on random domains, Applied Numerical Mathematics, 125
- Dambrine M., Harbrecht H., Multerer M., Puig B. (2017) On Bernoulli's free boundary problem with a random boundary, International Journal for Uncertainty Quantification, 7 (4)
- Dölz J., Harbrecht H., Multerer M. (2017) H-matrix based second moment analysis for rough random fields and finite element discretizations, SIAM Journal on Scientific Computing, 39 (4)
- Ballani J., Kressner D., Multerer M. (2017) Multilevel tensor approximation of PDEs with random data, Stochastics and Partial Differential Equations: Analysis and Computations, 5 (3)
- Harbrecht H., Multerer M., Schmidlin M. (2017) Uncertainty quantification for PDEs with anisotropic random diffusion, SIAM Journal on Numerical Analysis, 55 (2)
- Harbrecht H., Multerer M., Siebenmorgen M. (2017) On the quasi-Monte Carlo quadrature with Halton points for elliptic PDEs with log-normal diffusion, Mathematics of Computation, 86 (304)
- Dölz J., Harbrecht H., Multerer M. (2016) An interpolation-based fast multipole method for higher order boundary elements on parametric surfaces, International Journal for Numerical Methods in Engineering, 108 (13)
- Harbrecht H., Multerer M., Siebenmorgen M. (2016) Multilevel accelerated quadrature for PDEs with log-normally distributed random coefficient, SIAM/ASA Journal on Uncertainty Quantification, 4 (1)
- Harbrecht H., Multerer M., Siebenmorgen M. (2016) Analysis of the domain mapping method for elliptic diffusion problems on random domains, Numerische Mathematik, 134 (4)
- Harbrecht H., Multerer M., Siebenmorgen M. (2015) Efficient approximation of random fields for numerical applications, Numerical Linear Algebra with Applications, 22 (4)
- Dölz J., Harbrecht H., Multerer M. (2015) H-matrix accelerated second moment analysis for potentials with rough correlation, Journal of Scientific Computing, 65 (1)
- Harbrecht H., Multerer M. (2013) Comparison of fast boundary element methods on parametric surfaces, Computer Methods in Applied Mechanics and Engineering, 261--262
- Harbrecht H., Multerer M., Siebenmorgen M. (2013) Combination technique based k-th moment analysis of elliptic problems with random diffusion, Journal of Computational Physics, 252
- Harbrecht H., Multerer M., Schneider R. (2012) On the low-rank approximation by the pivoted Cholesky decomposition, Applied Numerical Mathematics, 62 (4)
- Gander L., Krause R., Multerer M., Pezzuto S., Space–time shape uncertainties in the forward and inverse problem of electrocardiography, International journal for numerical methods in biomedical engineering, 37 (10)
- Harbrecht H., Multerer M., A fast direct solver for nonlocal operators in wavelet coordinates, Journal of computational physics, 428
Book (1)
- Harbrecht H., Multerer M. (2022) Algorithmische Mathematik. Springer
Book chapter (5)
- Multerer M., Pezzuto S., Ennis D.B. P. L. (2021) Fast and Accurate Uncertainty Quantification for the ECG with Random Electrodes Location. Functional Imaging and Modeling of the Heart. FIMH 2021. Springer. Lecture Notes in Computer Science
- Multerer M., Wittwer L. D., Stopka A., Barac D., Lang C., Iber D., Dubrulle J. (2018) Simulation of morphogen and tissue dynamics. Morphogen Gradients. Humana Press
- Harbrecht H., Multerer M. (2017) Solution of free boundary problems in the presence of geometric uncertainties. Topological Optimization and Optimal Transport in the Applied Sciences. de Gruyter
- Harbrecht H., Multerer M. (2016) Combination technique based second moment analysis for PDEs on random domains. Sparse grids and applications - Stuttgart 2014. Springer International Publishing
- Harbrecht H., Multerer M., Siebenmorgen M. (2013) On multilevel quadrature for elliptic stochastic partial differential equations. Sparse grids and applications. Springer
Article in conference proceedings (1)
- Ghidini V., Multerer M., Quizi J., Sen R. (2024) Observation-specific explanations through scattered data approximation. Second World Conference on Explainable Artificial Intelligence. Second World Conference, xAI 2024. Valetta, Malta. July 17-19, 2024
