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 (29)
- Huang W., Multerer M. (2022) Isogeometric analysis of diffusion problems on random surfaces, Applied Numerical Mathematics, 179:50-65
- 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, 388:114242-114242
- Harbrecht H., Multerer M., von Rickenbach R. (2022) Isogeometric shape optimization of periodic structures in three dimensions, Computer Methods in Applied Mechanics and Engineering, 391:114552-114552
- Harbrecht H., Multerer M. (2022) Samplets: Construction and scattered data compression, to appear in Journal of Computational Physics (2021/02):-----
- Harbrecht H., Multerer M. (2021) A fast direct solver for nonlocal operators in wavelet coordinates, Journal of Computational Physics, 428:110056
- Gander L., Krause R., Multerer M., Pezzuto S. (2021) Space-time shape uncertainties in the forward and inverse problem of electrocardiography, Numerical Methods in Biomedical Engineering, 37 (10):e3522-e3522
- 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):1189-1214
- 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, 11:100476
- 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):684-705
- Multerer M. (2019) A note on the domain mapping method with rough diffusion coefficients, Applied Numerical Mathematics, 145:283-296
- Barac D., Multerer M., Iber D. (2019) Global optimization using Gaussian processes to estimate biological parameters from image data, Journal of Theoretical Biology, 481:233-248
- 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):147-174
- Harbrecht H., Multerer M., Ilić N. (2019) Rapid computation of far-field statistics for random obstacle scattering, Engineering Analysis with Boundary Elements, 101:243-251
- Gantner R. N., Peters M. (2018) Higher-order quasi-Monte Carlo for Bayesian shape inversion, SIAM/ASA Journal on Uncertainty Quantification, 6 (2):707-736
- Haji-Ali A., Harbrecht H., Peters M., Siebenmorgen M. (2018) Novel results for the anisotropic sparse grid quadrature, Journal of Complexity, 47:62-85
- Harbrecht H., Peters M. (2018) The second order perturbation approach for PDEs on random domains, Applied Numerical Mathematics, 125:159-171
- Dölz J., Harbrecht H., Peters M. (2017) H-matrix based second moment analysis for rough random fields and finite element discretizations, SIAM Journal on Scientific Computing, 39 (4):B618-B639
- Ballani J., Kressner D., Peters M. (2017) Multilevel tensor approximation of PDEs with random data, Stochastics and Partial Differential Equations: Analysis and Computations, 5 (3):400-427
- Dambrine M., Harbrecht H., Peters M., Puig B. (2017) On Bernoulli's free boundary problem with a random boundary, International Journal for Uncertainty Quantification, 7 (4):335-353
- Harbrecht H., Peters 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):771-797
- Harbrecht H., Peters M., Schmidlin M. (2017) Uncertainty quantification for PDEs with anisotropic random diffusion, SIAM Journal on Numerical Analysis, 55 (2):1002-1023
- Dölz J., Harbrecht H., Peters 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):1705-1728
- Harbrecht H., Peters M., Siebenmorgen M. (2016) Analysis of the domain mapping method for elliptic diffusion problems on random domains, Numerische Mathematik, 134 (4):823-856
- Harbrecht H., Peters M., Siebenmorgen M. (2016) Multilevel accelerated quadrature for PDEs with log-normally distributed random coefficient, SIAM/ASA Journal on Uncertainty Quantification, 4 (1):520-551
- Harbrecht H., Peters M., Siebenmorgen M. (2015) Efficient approximation of random fields for numerical applications, Numerical Linear Algebra with Applications, 22 (4):596-617
- Dölz J., Harbrecht H., Peters M. (2015) H-matrix accelerated second moment analysis for potentials with rough correlation, Journal of Scientific Computing, 65 (1):387-410
- Harbrecht H., Peters M., Siebenmorgen M. (2013) Combination technique based k-th moment analysis of elliptic problems with random diffusion, Journal of Computational Physics, 252:128-141
- Harbrecht H., Peters M. (2013) Comparison of fast boundary element methods on parametric surfaces, Computer Methods in Applied Mechanics and Engineering, 261--262:39-55
- Harbrecht H., Peters M., Schneider R. (2012) On the low-rank approximation by the pivoted Cholesky decomposition, Applied Numerical Mathematics, 62 (4):428-440
Book (1)
- Harbrecht H., Multerer M. (2022) Algorithmische Mathematik. Springer
Book chapter (5)
- Multerer M., Pezzuto S. (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, 561-572
- Peters M., Wittwer L. D., Stopka A., Barac, D., Lang C., Iber D. (2018) Simulation of morphogen and tissue dynamics. Morphogen Gradients. Humana Press, 223-250
- Harbrecht H., Peters M. (2017) Solution of free boundary problems in the presence of geometric uncertainties. Topological Optimization and Optimal Transport in the Applied Sciences. de Gruyter, 20-39
- Harbrecht H., Peters M. (2016) Combination technique based second moment analysis for PDEs on random domains. Sparse grids and applications - Stuttgart 2014. Springer International Publishing, 51-77
- Harbrecht H., Peters M., Siebenmorgen M. (2013) On multilevel quadrature for elliptic stochastic partial differential equations. Sparse grids and applications. Springer, 161-179
Technical report (2)
- Filipovic D., Multerer M., Schneider P. (2021) Adaptive joint distribution learning (2021/04)
- Ben Bader S., Harbrecht H., Krause R., Multerer M., Quaglino A., Schmidlin M. (2021) Space-time multilevel quadrature methods and their application for cardiac electrophysiology
