Publikationen

Harbrecht, H., Tröndle, D. und Zimmermann, M. (2019) «A sampling-based optimization algorithm for solution spaces with pair-wise-coupled design variables», Structural and multidisciplinary optimization. Springer, 60(2), S. 501-512. doi: 10.1007/s00158-019-02221-x.   edoc
Balazs, P. und Harbrecht, H. (2019) «Frames for the solution of operator equations in Hilbert spaces with fixed dual pairing», Numerical Functional Analysis and Optimization. Taylor & Francis, 40(1), S. 65-84. doi: 10.1080/01630563.2018.1495232.   edoc | Open Access
Zaspel, P., Huang, B., Harbrecht, H. und von Lilienfeld, A. O. (2019) «Boosting quantum machine learning models with multi-level combination technique: Pople diagrams revisited», Journal of chemical theory and computation. American Chemical Society, 15(3), S. 1546-1559. doi: 10.1021/acs.jctc.8b00832.   edoc | Open Access
Harbrecht, H. und Zaspel, P. (2019) «On the algebraic construction of sparse multilevel approximations of elliptic tensor product problems», Journal of scientific computing. Springer, 78(2), S. 1272-1290. doi: 10.1007/s10915-018-0807-6.   edoc
Caubet, F., Dambrine, M. und Harbrecht, H. (2019) «A new method for the data completion problem and application to obstacle detection», SIAM journal on applied mathematics. Society for Industrial and Applied Mathematics , 79(1), S. 415-435. doi: 10.1137/18M1186071.   edoc | Open Access
Harbrecht, H., Dölz, J. und Multerer, M. D. (2019) «On the Best Approximation of the Hierarchical Matrix Product», SIAM journal on matrix analysis and applications. Society for Industrial and Applied Mathematics, 40(1), S. 147-174.   edoc | Open Access
Harbrecht, H., Ilić, N. und Multerer, M. D. (2019) «Rapid computation of far-field statistics for random obstacle scattering», Engineering analysis with boundary elements. Elsevier, 101, S. 243-251.   edoc
Alberti, G., Crippa, G. und Mazzucato, A. L. (2019) «Exponential self-similar mixing by incompressible flows», Journal of the American Mathematical Society. American Mathematical Society (AMS), 32(2), S. 445-490. doi: 10.1090/jams/913.   edoc | Open Access
Bugeanu, M. und Harbrecht, H. (2019) «Parametric representation of molecular surfaces», International journal of quantum chemistry. Wiley, 119(1), S. e25695. doi: 10.1002/qua.25695.   edoc | Open Access
Zaspel, P. (2019) «Algorithmic patterns for H matrices on many-core processors», Journal of scientific computing. Springer, 78(2), S. 1174-1206.   
Zaspel, P. (2019) «Ensemble Kalman filters for reliability estimation in perfusion inference», International Journal for Uncertainty Quantification, 9(1), S. 15-32.   
Griebel, M., Rieger Christian und Zaspel, P. (2019) «Kernel-based stochastic collocation for the random two-phase Navier-Stokes equations», International Journal for Uncertainty Quantification.   
Lamy, X. und Ghiraldin, F. (2018) «Optimal besov differentiability for entropy solutions of the eikonal equation», Communications in Pure and Applied Mathematics. Wiley, S. n/a. Verfügbar unter: https://archiv.math.unibas.ch/uploads/tx_x4epublication/2018-02-eikonal-veryfinal.pdf.   edoc | Open Access
Harbrecht, H. und Tausch, J. (2018) «A fast sparse grid based space-time boundary element method for the nonstationary heat equation», Numerische Mathematik. Springer, 140(1), S. 239-264. doi: 10.1007/s00211-018-0963-5.   edoc | Open Access
Bürli, C., Harbrecht, H., Odermatt, P., Sayasone, S. und Chitnis, N. (2018) «Analysis of interventions against the liver fluke, Opisthorchis viverrini», Mathematical biosciences : an international journal. American Elsevier, 303, S. 115-125.   edoc | Open Access
Brügger, R., Croce, R. und Harbrecht, H. (2018) «Solving a free boundary problem with non-constant coefficients», Mathematical Methods in the Applied Sciences . Wiley, 41(10), S. 3653-3671. doi: 10.1002/mma.4853.   edoc | Open Access
Crippa, G., Ligabue, S. und Saffirio, C. (2018) «Lagrangian solutions to the Vlasov-Poissosystem with a point charge», Kinetic and related models, 11(6), S. 1277-1299. doi: 10.3934/krm.2018050.   edoc | Open Access
Dölz, J. und Harbrecht, H. (2018) «Hierarchical matrix approximation for the uncertainty quantification of potentials on random domains», Journal of Computational Physics. Elsevier, 371, S. 506-527. doi: 10.1016/j.jcp.2018.05.040.   edoc
Haji-Ali, A.-L., Harbrecht, H., Peters, M. und Siebenmorgen, M. (2018) «Novel results for the anisotropic sparse grid quadrature», Journal of complexity. Elsevier, 47, S. 62-85. doi: 10.1016/j.jco.2018.02.003 .   edoc
Gérard, P. und Lenzmann, E. (2018) «A Lax Pair Structure for the Half-Wave Maps Equation», Letters in Mathematical Physics. Springer, 108(7), S. 1635-1648. doi: 10.1007/s11005-017-1044-x.   edoc
Gérard, P., Lenzmann, E., Pocovnicu, O. und Raphael, P. (2018) «A Two-Soliton with Transient Turbulent Regime for the Cubic Half-Wave Equation on the Real Line», Annals of PDE. Springer, 4(7). doi: 10.1007/s40818-017-0043-7.   edoc
Lenzmann, E. und Schikorra, A. (2018) «On energy-critical half-wave maps into S^2», Inventiones Mathematicae. Springer, S. 1-82. doi: 10.1007/s00222-018-0785-1.   edoc
Dahlke, S., Harbrecht, H., Utzinger, M. und Weimar, M. (2018) «Adaptive Wavelet BEM for boundary integral equations. Theory and numerical experiments», Numerical Functional Analysis and Optimization. Taylor & Francis, 39(2), S. 208-232. doi: 10.1080/01630563.2017.1359623.   edoc | Open Access
Harbrecht, H., Wendland, W. L. und Zorii, N. (2018) «Minimal energy problems for strongly singular Riesz kernels», Mathematical News / Mathematische Nachrichten. Wiley, 291(1), S. 55-85. doi: 10.1002/mana.201600024.   edoc | Open Access
Harbrecht, H. und Peters, M. D. (2018) «The second order perturbation approach for elliptic partial differential equations on random domains», Applied Numerical Mathematics. Elsevier, 125, S. 159-171. doi: 10.1016/j.apnum.2017.11.002.   edoc
Dölz, J., Harbrecht, H., Kurz, S., Schöps, S. und Wolf, F. (2018) «A fast isogeometric BEM for the three dimensional Laplace- and Helmholtz problems», Computer Methods in Applied Mechanics and Engineering. Elsevier, 330, S. 83-101. doi: 10.1016/j.cma.2017.10.020.   edoc
Bürli, C., Harbrecht, H., Odermatt, P., Sayasone, S. und Chitnis, N. (2018) «Mathematical analysis of the transmission dynamics of the liver fluke, Opisthorchis viverrini», Journal of Theoretical Biology. Elsevier, 439, S. 181-194. doi: 10.1016/j.jtbi.2017.11.020.   edoc | Open Access
Harbrecht, H. und Utzinger, M. (2018) «On adaptive wavelet boundary element methods», Journal of Computational Mathematics. Institute of Computational Mathematics and Scientific/Engineering Computing , 36(1), S. 90-109. doi: 10.4208/jcm.1610-m2016-0496.   edoc | Open Access
Gantner, R. N. und Peters, M. D. (2018) «Higher-Order Quasi-Monte Carlo for Bayesian Shape Inversion», SIAM/ASA Journal on Uncertainty Quantification, 6(2), S. 707–736.   
Grote, M., Mehlin, M. und Sauter, S. (2018) «Convergence Analysis of Energy Conserving Explicit Local Time-stepping Methods for the Wave Equation», SIAM Num. Anal, (56), S. 994-1021.   
Crippa, G. und Mazzucato, A. (Hrsg.) (2017) Transport, Fluids, and Mixing. Warsaw: De Gruyter Open. Verfügbar unter: https://www.degruyter.com/view/product/497138.   
Leugering, G., Benner, P., Engell, S., Griewank, A., Harbrecht, H., Hinze, M., Rannacher, R. und Ulbrich, S. (Hrsg.) (2014) Trends in PDE constrained optimization, International series of numerical mathematics. Basel: Birkhäuser.   edoc
Déserti, J. (2012) Some properties of the Cremona group, Ensaios matemáticos. Rio de Janeiro: Sociedade Brasileira De Matemática.   edoc
Crippa, G. (2009) The flow associated to weakly differentiable vector fields, Theses / Scuola Normale Superiore di Pisa. Pisa: Edizioni della Normale.   edoc
Harbrecht, H. und Moor, M. (2019) «Wavelet boundary element methods - Adaptivity and goal-oriented error estimation», in Apel, T., Langer, U., Meyer, A., und Steinbach, O. (Hrsg.) Lecture Notes in Computational Science and Engineering. Switzerland: Springer Nature (Advanced Finite Element Methods with Applications), S. 143-164.   edoc
Garcke, J. und Kalmykov, I. (2018) «Efficient Higher Order Time Discretization Schemes For Hamilton-Jacobi-Bellman Equations Based On Diagonally Implicit Symplectic Runge-Kutta Methods», in Kalise, D., Kunisch, K., und Rao, Z. (Hrsg.) Radon Series on Computational and Applied Mathematics. Berlin-Bosten: De Gruyter (Hamilton-Jacobi-Bellman Equations. Numerical Methods and Applications in Optimal Control), S. 97-128.   edoc
Harbrecht, H. und Peters, M. (2017) «Solution of free boundary problems in the presence of geometric uncertainties», in Bergounioux, M., Oudet, Édouard, Rumpf, M., Carlier, G., Champion, T., und Santambrogio, F. (Hrsg.) Radon Series on Computational and Applied Mathematics. Berlin-Bosten: De Gruyter (Topological Optimization and Optimal Transport In the Applied Sciences), S. 20-39. doi: 10.1515/9783110430417-002.   edoc | Open Access
Habegger, P. (2016) «Effective Height Upper Bounds on Algebraic Tori», in Habegger, P., Rémond, G., Scanlon, T., Emmanuel, U., und Yafaev, A. (Hrsg.) Panoramas et synthèses. Paris: Société mathématique de France (Around the Zilber-Pink conjecture), S. 167-242.   edoc
Habegger, P. (2016) «Quasi-equivalence of Heights and Runge’s Theorem», in Elsholtz, C. und Grabner, P. (Hrsg.). Cham: Springer (Diophantine problems, uniform distribution and applications, Festschrift in honour of Robert F. Tichy’s 60th birthday), S. 257-280.   edoc
Harbrecht, H. und Peters, M. (2016) «Combination technique based second moment analysis for elliptic PDEs on random domains», in Garcke, J. und Pflüger, D. (Hrsg.) Lecture notes in computational science and engineering. Switzerland: Springer International Publishing (Sparse grids and applications - Stuttgart 2014), S. 51-77. doi: 10.1007/978-3-319-28262-6_3.   edoc | Open Access
Habegger, P. (2015) «The Manin-Mumford conjecture, an elliptic curve, its torsion points & their Galois orbits», in Jones, G. und Wilkie, A. (Hrsg.) London Mathematical Society lecture note series. Cambridge: Cambridge University Press (O-Minimality and Diophantine Geometry), S. 1-40. doi: 10.1017/CBO9781316106839.002.   edoc
Harbrecht, H. und Tausch, J. (2014) «On shape optimization with parabolic state equation», in International series of numerical mathematics. Basel: Birkhäuser (Trends in PDE constrained optimization), S. 213-229.   edoc
Griebel, M. und Harbrecht, H. (2014) «On the convergence of the combination technique», in. Berlin-Heidelberg: Springer (Sparse Grids and Applications - Munich 2012), S. 55-74. doi: 10.1007/978-3-319-04537-5_3.   edoc | Open Access
Harbrecht, H. (2014) «Second moment analysis for Robin boundary value problems on random domains», in. Cham: Springer (Singular Phenomena and Scaling in Mathematical Models), S. 361-382. doi: 10.1007/978-3-319-00786-1_16.   edoc
Grote, M. J. und Mitkova, T. (2013) «Explicit Local Time-Stepping Methods for Time-Dependent Wave Propagation», in. Berlin: De Gruyter (Direct and Inverse Problems in Wave Propagation and Applications), S. 187-218.   edoc
Harbrecht, H., Peters, M. und Siebenmorgen, M. (2013) «On multilevel quadrature for elliptic stochastic partial differential equations», in. Berlin-Heidelberg: Springer (Sparse grids and applications), S. 161-179.   edoc
Eppler, K. und Harbrecht, H. (2012) «Shape optimization for free boundary problems : analysis and numerics», in International Series of Numerical Mathematics. Basel: Springer Basel (Constrained Optimization and Optimal Control for Partial Differential Equations), S. 277-288. doi: 10.1007/978-3-0348-0133-1_15.   edoc
Ambrosio, L. und Crippa, G. (2008) «Existence, uniqueness, stability and differentiability properties of the flow associated to weakly differentiable vector fields», in Ancona, F., Bianchini, S., Colombo, R. M., De Lellis, C., Marson, A., und Montanari, A. (Hrsg.). Berlin: Springer (Transport equations and multi-D hyperbolic conservation laws), S. 3-57. doi: 10.1007/978-3-540-76781-7_1.   
Crippa, G., Otto, F. und Westdickenberg, M. (2008) «Regularizing effect of nonlinearity in multidimensional scalar conservation laws», in Ancona, F., Bianchini, S., Colombo, R. M., De Lellis, C., Marson, A., und Montanari, A. (Hrsg.). Berlin: Springer (Transport equations and multi-D hyperbolic conservation laws), S. 77-128. doi: 10.1007/978-3-540-76781-7_3.   
Habegger, P. (2007) «Multiplicative dependence and isolation I», in Zannier, U. (Hrsg.). Pisa: Publications of the Scuola Normale Superiore (Diophantine Geometry, Scuola Normale Superiore), S. ?.   
Blanc, J. (2017) «Algebraic structures of groups of birational transformations», in Bilen Can, M. (Hrsg.). Providence, Rhode Island: Proceedings of Symposia in Pure Mathematics (Algebraic groups : structure and actions : 2015 Clifford lectures), S. 17-30.   edoc
Grote, M. und Nahum, U. (2015) «Adaptive Eigenspace Inversion for the Helmholtz Equation», in. Karlsruhe: KIT (12th International Conference on Mathematical and Numerical Aspects of Wave Propagation).   edoc
Gaudio, L., Grote, M. und Mehlin, M. (2015) «Convergence Analysis of Leap-Frog Based Local Time-Stepping for the Wave Equation», in. Karlsruhe: KIT (12th International Conference on Mathematical and Numerical Aspects of Wave Propagation).   edoc
Rietmann, M., Grote, M., Daniel , P., Schenk, O. und Ucar, B. (2015) «Load-Balanced Local Time Stepping for Large-Scale Wave Propagation», in. Piscataway, NJ: IEEE (2015 IEEE International Parallel and Distributed Processing Symposium (IPDPS 2015) ), S. 925-935. doi: 10.1109/IPDPS.2015.10.   edoc
Almquist, M., Grote, M. und Mehlin, M. (2015) «Multi-Level Runge-Kutta based Explicit Local Time-Stepping for Wave Propagation», in. Karlsruhe: KIT (12th International Conference on Mathematical and Numerical Aspects of Wave Propagation), S. 268-269.   edoc
Grote, M., Kray, M., Nataf, F. und Assous, F. (2015) «Wave-Splitting for Time-Dependent Scattered Field Separation», in. Karlsruhe: KIT (12th International Conference on Mathematical and Numerical Aspects of Wave Propagation), S. 292-293.   edoc
Grote, M. und Mehlin, M. (2015) «Runge-Kutta type Explicit Local Time-Stepping for Electromagnetics», in. Karlsruhe: KIT (12th International Conference on Mathematical and Numerical Aspects of Wave Propagation), S. 266-267.   edoc
Pflueger, D., Bungartz, H.-J., Griebel, M., Jenko, F., Dannert, T., Heene, M., Kowitz, C., Hinojosa, A. P. und Zaspel, P. (2014) «EXAHD: An Exa-scalable Two-Level Sparse Grid Approach for Higher-Dimensional Problems in Plasma Physics and Beyond», in Lopes, L. (Hrsg.). Berlin: Springer (Lecture Notes in Computer Science), S. 565-576.   edoc
Crippa, G., Donadello, C. und Spinolo, L. V. (2014) «A note on the initial-boundary value problem for continuity equations with rough coefficients», in AIMS on Applied Mathematics. American Institute of Mathematical Sciences (Hyperbolic problems: theory, numerics, applications), S. 957-966. Verfügbar unter: https://aimsciences.org/books/am/AMVol8.html.   edoc | Open Access
Crippa, G. (2014) «Ordinary differential equations and singular integrals», in AIMS on Applied Mathematics. American Institute of Mathematical Sciences (Hyperbolic problems: theory, numerics, applications), S. 109-117. Verfügbar unter: https://aimsciences.org/books/am/AMVol8.html.   edoc | Open Access
Assous, F., Grote, M. J., Kray, M. und Nataf, F. (2013) «Time-reversed absorbing conditions (TRAC): discrimination between one and two nearby inclusions in the partial aperture case», in. [s.l.]: INRIA (Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), S. 137-138.   edoc
Grote, M. J., Mehlin, M. und Mitkova, T. (2013) «Runge-Kutta type explicit local time-stepping methods», in. [s.l.]: INRIA (Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), S. 189-190.   edoc
Gaudio, L., Grote, M. J. und Schenk, O. (2013) «Interior point method for time-dependent inverse problems», in. [s.l.]: INRIA (Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), S. 121-122.   edoc
Abdulle, A., Grote, M. J. und Stohrer, C. (2013) «Finite element heterogeneous multiscale method for the wave equation: long-time effects», in. [s.l.]: INRIA (Proceedings of 11th international conference on mathematical and numerical aspects of wave propagation (WAVES 2013), S. 233-234. doi: 10.4171/OWR/2013/03.   edoc
Blanc, J. und Mangolte, F. (2013) «Cremona groups of real surfaces», in. Cham: Springer (Automorphisms in birational and affine geometry), S. 35-58. doi: 10.1007/978-3-319-05681-4_3.   edoc
Grote, M. J., Mehlin, M. und Mitkova, T. (2012) «DG Methods and Local Time-Stepping for Wave Propagation», in Oberwolfach Reports. European Math Society (Theory and Applications of DG Methods), S. 572-574.   
Grote, M. J., Mehlin, M. und Mitkova, T. (2012) «High-Order Local Time-Stepping with Explicit Runge-Kutta Methods», in. ETHZ (Proceedings of SCEE’12).   
Grote, M. J., Huber, J. und Schenk, O. (2011) «Interior point methods for the inverse medium problem on massively parallel architectures», in. Amsterdam: Elsevier (Proceedings of the international conference on computational science (ICCS 2011), S. 1466-1474. doi: 10.1016/j.procs.2011.04.159.   edoc
Abdulle Assyr, Grote, M. J. und Stohrer, C. (2011) «Finite element heterogeneous multiscale method for transient wave propagation», in. Vancouver: The Pacific Institute for the Mathematical Sciences (Proceedings of WAVES 2010, the 10th International conference on the mathematical and numerical aspects of waves), S. 45-48.   edoc
Zaspel, P. und Griebel, M. (2011) «Massively Parallel Fluid Simulations on Amazon’s HPC Cloud», in. IEEE (2011 First International Symposium on Network Cloud Computing and Applications). doi: 10.1109/NCCA.2011.19.   
Grote, M. J. und Mitkova, T. (2010) «Discontinuous galerkin methods and local time stepping for wave propagation», in. American Institute of Physics (AIP) (AIP Conference Proceedings Volume 1281 for ICNAAM 2010), S. 320-324.   edoc
Grote, M. und Mitkova, T. (2009) «Explicit local time-stepping for transient electromagnetic waves», in. Rocquencourt: INRIA (Proceedings of WAVES 2009, the 9th International conference on mathematical and numerical aspects of waves propagation), S. 70-71.   edoc
Blanc, J. und van Santen, I. (2017) «Embeddings of Affine Spaces into Quadrics». arXiv.org.   edoc
Harbrecht, H. (2017) «Novel results for the anisotropic sparse grid quadrature», Oberwolfach Reports. European Mathematical Society. doi: 10.4171/OWR/2017/17.   edoc | Open Access
Harbrecht, H. (2017) «On shape optimization with parabolic state equation», Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Checcoli, S., Veneziano, F. und Viada, E. (2016) «The explicit Mordell Conjecture for families of curves (with an appendix by M. Stoll)». Cornell: Cornell University Library. Verfügbar unter: https://arxiv.org/pdf/1602.04097.pdf.   edoc
Feller, P. und van Santen, I. (2016) «Uniqueness of Embeddings of the Affine Line into Algebraic Groups». arXiv.org. Verfügbar unter: https://arxiv.org/abs/1609.02113.   edoc
Harbrecht, H. (2016) «On fast boundary element methods for parametric surfaces», Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Vávra, T. und Veneziano, F. (2015) «Pisot units in number fields». ArXiv. Verfügbar unter: https://arxiv.org/abs/1512.08786.   edoc
Boulenger, T. und Lenzmann, E. (2015) «Blowup for Biharmonic NLS», Annales scientifiques de l’ENS - Parutions - série 4. arXiv. doi: 10.24033/asens.2326.   edoc
Harbrecht, H. (2015) «Sparse BEM for the heat equation», Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Utzinger, M. (2015) «Adaptive Wavelet BEM», Oberwolfach reports. European Mathematical Society Publishing House.   
Feller, P. und Stampfli, I. (2014) «Holomorphically equivalent algebraic embeddings». arXiv.org. Verfügbar unter: http://arxiv.org/abs/1409.7319.   
Harbrecht, H. (2013) «Multilevel quadrature for elliptic stochastic partial differential equations», Oberwolfach Reports. European Mathematical Society.   edoc | Open Access
Harbrecht, H. (2013) «Modelling and simulation of elliptic PDEs on random domains». Zürich: Oberwolfach reports.   edoc
Harbrecht, H. (2011) «Shape optimization for free boundary problems». European Mathematical Society Publishing House. Verfügbar unter: http://www.ems-ph.org/journals/show_pdf.php?issn=1660-8933&vol=8&iss=1&rank=5.   edoc