Research reports

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Nr.	PDF	Authors and Title
2013-50	PDFfile_download	A. Andersson and R. Kruse and S. Larsson Duality in refined Watanabe-Sobolev spaces and weak approximations of SPDE
2013-49	PDFfile_download	P. Grohs and S. Hosseini $\varepsilon$-Subgradient Algorithms for Locally Lipschitz Functions on Riemannian Manifolds Revised 1: October 2014
2013-48	PDFfile_download	R. Hiptmair and C. Jerez-Hanckes and C. Urzua Optimal Operator Preconditioning for Boundary Elements on Open Curves
2013-47	PDFfile_download	P. Grohs and S. Keiper and G. Kutyniok and M. Schaefer Parabolic Molecules: Curvelets, Shearlets, and Beyond
2013-46	PDFfile_download	G. Da Prato and A. Jentzen and M. Röckner A mild Itô formula for SPDEs
2013-45	PDFfile_download	M. Hutzenthaler and A. Jentzen Numerical approximations of stochastic differential equations with non-globally Lipschitz continuous coefficients
2013-44	PDFfile_download	G. Coclite and S. Mishra and N. Risebro and F. Weber Analysis and Numerical approximation of Brinkman regularization of two-phase flows in porous media
2013-43	PDFfile_download	F. Weber Robust finite difference schemes for a nonlinear variational wave equation modeling liquid crystals Revised 1: May 2016
2013-42	PDFfile_download	S. Mishra and N. Risebro and F. Weber Convergence rates of finite difference schemes for the wave equation with rough coeffiicients
2013-41	PDFfile_download	J. Ernest and P. LeFloch and S. Mishra Schemes with Well controlled Dissipation (WCD) I: Non-classical shock waves
2013-40	PDFfile_download	S. Mishra and F. Fuchs and A. McMurry and N.H. Risebro Explicit and implicit finite volume schemes for radiation mhd and the effects of radiation on wave propagation in stratified atmospheres.
2013-39	PDFfile_download	D. Schötzau and Ch. Schwab and T.P. Wihler hp-dGFEM for Second-Order Mixed Elliptic Problems in Polyhedra
2013-38	PDFfile_download	W. E and A. Jentzen and H. Shen Renormalized powers of Ornstein-Uhlenbeck processes and well-posedness of stochastic Ginzburg-Landau equations
2013-37	PDFfile_download	M. Hairer and M. Hutzenthaler and A. Jentzen Loss of regularity for Kolmogorov equations
2013-36	PDFfile_download	S. Becker and A. Jentzen and P. Kloeden An exponential Wagner-Platen type scheme for SPDEs
2013-35	PDFfile_download	S. Cox and M. Hutzenthaler and A. Jentzen Local Lipschitz continuity in the initial value and strong completeness for nonlinear stochastic differential equations
2013-34	PDFfile_download	M. Hutzenthaler and A. Jentzen and X. Wang Exponential integrability properties of numerical approximation processes for nonlinear stochastic differential equations
2013-33	PDFfile_download	A. Barth and Ch. Schwab and J. Sukys Multilevel Monte Carlo approximations of statistical solutions to the Navier-Stokes equations Revised 1: November 2013 Revised 2: September 2014
2013-32	PDFfile_download	U. Koley and N.H. Risebro and Ch. Schwab and F. Weber A Multilevel Monte Carlo Finite Difference Method for Random Scalar Degenerate Convection Diffusion Equations Revised 1: July 2016
2013-31	PDFfile_download	R. Hiptmair and A. Moiola and I. Perugia Plane Wave Discontinuous Galerkin Methods: Exponential Convergence of the hp-version Revised 1: December 2014
2013-30	PDFfile_download	R. Hiptmair and A. Paganini and S. Sargheini Comparison of Approximate Shape Gradients Revised 1: October 2013 Revised 2: February 2014 Revised 3: May 2014
2013-29	PDFfile_download	J. Dick and F.Y. Kuo and Q.T. Le Gia and D. Nuyens and Ch. Schwab Higher order QMC Petrov-Galerkin discretization for affine parametric operator equations with random field inputs Revised 1: October 2013 Revised 2: August 2014 Revised 3: March 2015
2013-28	PDFfile_download	V. Kazeev and I. Oseledets The tensor structure of a class of adaptive algebraic wavelet transforms
2013-27	PDFfile_download	Ch. Schwab and C. Schillings Sparse Quadrature Approach to Bayesian Inverse Problems
2013-26	PDFfile_download	A. Lang Isotropic Gaussian random fields on the sphere
2013-25	PDFfile_download	A. Cohen and A. Chkifa and Ch. Schwab Breaking the curse of dimensionality in sparse polynomial approximation of parametric PDEs
2013-24	PDFfile_download	P. Grohs and S. Keiper and G. Kutyniok and M. Schaefer $\alpha$-Molecules: Curvelets, Shearlets, Ridgelets, and Beyond
2013-23	PDFfile_download	P. Grohs and M. Sprecher Projection-based Quasiinterpolation in Manifolds
2013-22	PDFfile_download	R. Andreev and A. Lang Kolmogorov-Chentsov theorem and differentiability of random fields on manifolds
2013-21	PDFfile_download	J. Sukys Adaptive load balancing for massively parallel multi-level Monte Carlo solvers
2013-20	PDFfile_download	R. Kruse Consistency and Stability of a Milstein-Galerkin Finite Element Scheme for Semilinear SPDE
2013-19	PDFfile_download	K. Schmidt and R. Hiptmair Asymptotic Boundary Element Methods for Thin Conducting Sheets
2013-18	PDFfile_download	V. Kazeev and Ch. Schwab Tensor approximation of stationary distributions of chemical reaction networks
2013-17	PDFfile_download	Cl. Schillings and Ch. Schwab Sparsity in Bayesian Inversion of Parametric Operator Equations Revised 1: November 2013
2013-16	PDFfile_download	P. Grohs and H. Hardering and O. Sander Optimal A Priori Discretization Error Bounds for Geodesic Finite Elements Revised 1: September 2014
2013-15	PDFfile_download	A. Lang and Ch. Schwab Isotropic Gaussian random fields on the sphere: regularity, fast simulation, and stochastic partial differential equations Revised 1: May 2014
2013-14	PDFfile_download	I. G. Graham and F.Y. Kuo and J. A. Nichols and R. Scheichl and Ch. Schwab and I. H. Sloan Quasi-Monte Carlo finite element methods for elliptic PDEs with log-normal random coefficient Revised 1: November 2014
2013-13	PDFfile_download	X. Claeys and R. Hiptmair and E. Spindler A Second-Kind Galerkin Boundary Element Method for Scattering at Composite Objects Revised 1: December 2013
2013-12	PDFfile_download	R. Kornhuber and Ch. Schwab and M. Wolf Multi-Level Monte-Carlo Finite Element Methods for stochastic elliptic variational inequalities
2013-11	PDFfile_download	F. Müller and Ch. Schwab Finite Elements with mesh refinement for wave equations in polygons
2013-10	PDFfile_download	M. Hansen and C. Schillings and Ch. Schwab Sparse Approximation Algorithms for High Dimensional Parametric Initial Value Problems
2013-09	PDFfile_download	C. Gittelson and R. Andreev and Ch. Schwab Optimality of Adaptive Galerkin methods for random parabolic partial differential equations
2013-08	PDFfile_download	R. Hiptmair and C. Jerez-Hanckes and J. Lee and Z. Peng Domain Decomposition for Boundary Integral Equations via Local Multi-Trace Formulations Revised 1: December 2013
2013-07	PDFfile_download	A. Paganini and M. López-Fernández Efficient convolution based impedance boundary condition Revised 1: June 2013
2013-06	PDFfile_download	C. Schillings A Note on Sparse, Adaptive Smolyak Quadratures for Bayesian Inverse Problems
2013-05	PDFfile_download	R. Käppeli and S. Mishra Well-balanced schemes for the Euler equations with gravitation Revised 1: December 2013
2013-04	PDFfile_download	V. Kazeev and M. Khammash and M. Nip and Ch. Schwab Direct Solution of the Chemical Master Equation using Quantized Tensor Trains
2013-03	PDFfile_download	X. Claeys and R. Hiptmair Integral Equations on Multi-Screens
2013-02	PDFfile_download	R. Hiptmair and M. Lopez-Fernandez and A. Paganini Fast Convolution Quadrature Based Impedance Boundary Conditions
2013-01	PDFfile_download	M. Eigel and C. Gittelson and Ch. Schwab and E. Zander Adaptive stochastic Galerkin FEM

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