Research reports

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Nr.	PDF	Authors and Title
2017-58	PDFfile_download	P. Kritzer and G. Leobacher and M. Szölgyenyi and S. Thonhauser Approximation methods for piecewise deterministic Markov processes and their costs Revised 1: May 2019
2017-57	PDFfile_download	Ch. Schwab and J. Zech Deep Learning in High Dimension Revised 1: February 2018 Revised 2: May 2018
2017-56	PDFfile_download	H. Ammari and W. Wu and S. Yu Double-negative electromagnetic metamaterials due to chirality
2017-55	PDFfile_download	H. Ammari and M. Ruiz and S. Yu and H. Zhang Reconstructing fine details of small objects by using plasmonic spectroscopic data. Part II: The strong interaction regime
2017-54	PDFfile_download	S. Becker and B. Gess and A. Jentzen and P.E. Kloeden Strong convergence rates for explicit space-time discrete numerical approximations of stochastic Allen-Cahn equations
2017-53	PDFfile_download	G. Leobacher and M. Szölgyenyi Numerical methods for SDEs with drift discontinuous on a set of positive reach
2017-52	PDFfile_download	U. S. Fjordholm and K. Lye and S. Mishra Numerical approximation of statistical solutions of scalar conservation laws Revised 1: November 2017
2017-51	PDFfile_download	A. Jentzen and D. Salimova and T. Welti Strong convergence for explicit space-time discrete numerical approximation methods for stochastic Burgers equations
2017-50	PDFfile_download	D. Devaud and Ch. Schwab Space-time hp-approximation of parabolic equations
2017-49	PDFfile_download	Ch. Beck and W. E and A. Jentzen Machine learning approximation algorithms for high-dimensional fully nonlinear partial differential equations and second-order backward stochastic differential equations
2017-48	PDFfile_download	M. Hutzenthaler and A. Jentzen and D. Salimova Strong convergence of full-discrete nonlinearity-truncated accelerated exponential Euler-type approximations for stochastic Kuramoto-Sivashinsky equations
2017-47	PDFfile_download	R. Hiptmair and C. Pechstein Discrete Regular Decompositions of Tetrahedral Discrete 1-Forms
2017-46	PDFfile_download	H. Ammari and M. Ruiz and S. Yu and H. Zhang Field expansions for systems of strongly coupled plasmonic nanoparticle
2017-45	PDFfile_download	H. Ammari and B. Fitzpatrick and H. Lee and S. Yu and H. Zhang Double-negative acoustic metamaterials Revised 1: March 2018
2017-44	PDFfile_download	J. Han and A. Jentzen and W. E Overcoming the curse of dimensionality: Solving high-dimensional partial differential equations using deep learning
2017-43	PDFfile_download	W. E and M. Hutzenthaler and A. Jentzen and T. Kruse Linear scaling algorithms for solving high-dimensional nonlinear parabolic differential equations
2017-42	PDFfile_download	W. E and M. Hutzenthaler and A. Jentzen and T. Kruse On multilevel Picard numerical approximations for high-dimensional nonlinear parabolic partial differential equations and high-dimensional nonlinear backward stochastic differential equations
2017-41	PDFfile_download	T. Koltukluoğlu and P. Blanco Boundary Control in Computational Haemodynamics Revised 1: September 2018 Revised 2: September 2018
2017-40	PDFfile_download	H. Ammari and H. Lee and H. Zhang High frequency homogenization of bubbly crystals
2017-39	PDFfile_download	A. Hiltebrand and S. Mishra and C. Parés Entropy-stable space-time DG schemes for non-conservative hyperbolic systems
2017-38	PDFfile_download	S. Mishra and Ch. Schwab Monte-Carlo Finite-Volume Methods inUncertainty Quantification for Hyperbolic Conservation Laws Revised 1: May 2018
2017-37	PDFfile_download	A. Dabrowski A variational principle for the perturbation of repeated eigenvalues and applications
2017-36	PDFfile_download	L. Banjai and J. Melenk and R. Nochetto and E. Otarola and A. Salgado and Ch. Schwab Tensor FEM for spectral fractional diffusion Revised 1: August 2018
2017-35	PDFfile_download	L. Herrmann Strong convergence analysis of iterative solvers for random operator equations Revised 1: August 2018 Revised 2: October 2019
2017-34	PDFfile_download	A. Dabrowski A localized perturbation which splits the spectrum of the Laplacian
2017-33	PDFfile_download	A. Dabrowski Explicit terms in the small volume expansion of the shift of Neumann Laplacian eigenvalues due to a grounded inclusion in two dimensions
2017-32	PDFfile_download	M. Lim and S. Yu Stress concentration for two nearly touching circular holes
2017-31	PDFfile_download	H. Kang and S. Yu A proof of the Flaherty-Keller formula on the effective property of densely packed elastic composites
2017-30	PDFfile_download	H. Kang and S. Yu Quantitative characterization of stress concentration in the presence of closely spaced hard inclusions in two-dimensional linear elasticity
2017-29	PDFfile_download	W. E and J. Han and A. Jentzen Deep learning-based numerical methods for high-dimensional parabolic partial differential equations and backward stochastic differential equations
2017-28	PDFfile_download	H. Ammari and B. Fitzpatrick and D. Gontier and H. Lee and H. Zhang Sub-wavelength focusing of acoustic waves in bubbly media
2017-27	PDFfile_download	J. Zech and Ch. Schwab Convergence rates of high dimensional Smolyak quadrature Revised 1: November 2018
2017-26	PDFfile_download	B. Ayuso deDios and R. Hiptmair and C. Pagliantini Auxiliary Space Preconditioner for a Discontinuous Galerkin Discretization of H(curl)-Elliptic Problems on Hexahedral Meshes
2017-25	PDFfile_download	R. Hiptmair and L.-X. Li and S.-P. Mao and W.-Y. Zheng A fully divergence-free finite element method for magneto-hydrodynamic equations
2017-24	PDFfile_download	R. Hiptmair and J.-Z. Li Shape Derivatives in Differential Forms II: Shape Derivatives for Scattering Problems
2017-23	PDFfile_download	F. Henriquez and C. Jerez-Hanckes Multiple Traces Formulation and Semi-Implicit Scheme for Modeling Biological Cells under Electrical Stimulation
2017-22	PDFfile_download	X. Claeys and R. Hiptmair First-Kind Boundary Integral Equations for the Hodge-Helmholtz Equation Revised 1: June 2017
2017-21	PDFfile_download	H. Ammari and F. Triki and C.-H. Tsou Numerical determination of anomalies in multifrequency electrical impedance tomography
2017-20	PDFfile_download	H. Ammari and M. Ruiz and S. Yu and H. Zhang Reconstructing fine details of small objects by using plasmonic spectroscopic data
2017-19	PDFfile_download	L. Herrmann and Ch. Schwab Multilevel quasi-Monte Carlo integration with product weights for elliptic PDEs with lognormal coefficients Revised 1: June 2018 Revised 2: November 2018
2017-18	PDFfile_download	R. Hiptmair and C. Pagliantini Splitting-Based Structure Preserving Discretizations for Magnetohydrodynamics
2017-17	PDFfile_download	M. Hefter and A. Jentzen and R. Kurniawan Counterexamples to regularities for the derivative processes associated to stochastic evolution equations
2017-16	PDFfile_download	M. Hefter and A. Jentzen On arbitrarily slow convergence rates for strong numerical approximations of Cox-Ingersoll-Ross processes and squared Bessel processes
2017-15	PDFfile_download	F. Müller and D. Schötzau and Ch. Schwab Symmetric Interior penalty discontinuous Galerkin methods for elliptic problems in polygons
2017-14	PDFfile_download	H. Ammari and F. Romero and M. Ruiz Heat generation with plasmonic nanoparticles
2017-13	PDFfile_download	R. Hiptmair and C. Jerez-Hanckes and C. Urzúa-Torres Optimal Operator preconditioning for weakly singular operator over 3D screens
2017-12	PDFfile_download	A. I. Aviles and T. Widlak and A. Casals and M. M. Nillesen and H. Ammari Robust Cardiac Motion Estimation using Ultrafast Ultrasound Data: A Low-Rank-Topology-Preserving Approach
2017-11	PDFfile_download	H. Ammari and T. Boulier and J. Garnier and H. Wang Mathematical modelling of the electric sense of fish: the role of multi-frequency measurements and movement
2017-10	PDFfile_download	H. Ammari and B. Fitzpatrick and H. Lee and S. Yu and H. Zhang Subwavelength phononic bandgap opening in bubbly media
2017-09	PDFfile_download	H. Ammari and L. Qiu and F. Santosa and W. Zhang Determining anisotropic conductivity using diffusion tensor imaging data in magneto-acoustic tomography with magnetic induction
2017-08	PDFfile_download	M. Bachmayr and A. Cohen and D. Düng and Ch. Schwab Fully discrete approximation of parametric and stochastic elliptic PDEs
2017-07	PDFfile_download	M. Gerencsér and A. Jentzen and D. Salimova On stochastic differential equations with arbitrarily slow convergence rates for strong approximation in two space dimensions
2017-06	PDFfile_download	F. Leonardi A projection method for the computation of admissible measure valued solutions of the incompressible Euler equations
2017-05	PDFfile_download	H. Ammari and B. Fitzpatrick and H. Kang and M. Ruiz and S. Yu and H. Zhang Mathematical and Computational Methods in Photonics and Phononics Revised 1: March 2017
2017-04	PDFfile_download	L. Herrmann and Ch. Schwab QMC Algorithms with Product Weights for Lognormal-Parametric, Elliptic PDEs Revised 1: August 2017
2017-03	PDFfile_download	R. N. Gantner Dimension Truncation in QMC for Affine-Parametric Operator Equations Revised 1: August 2017
2017-02	PDFfile_download	L. Jacobe de Naurois and A. Jentzen and T. Welti Lower bounds for weak approximation errors for spatial spectral Galerkin approximations of stochastic wave equations
2017-01	PDFfile_download	J.-L. Bouchot and H. Rauhut and Ch. Schwab Multi-level Compressed Sensing Petrov-Galerkin discretization of high-dimensional parametric PDEs

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