No. 
Preprint 
175 
Pathwise Dynamic Programming
C. Bender, C. Gärtner and N. Schweizer
August 2015

174 
On the convergence analysis of the inexact linearly implicit Euler scheme for a class of SPDEs
P.A. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter and R.L. Schilling
January 2015

173 
Convergence of Alternating Least Squares Optimisation for RankOne Approximation to High Order Tensors
M. Espig and A. Khachatryan
November 2014

172 
Weak convergence of finite element approximations of linear stochastic evolution equations with additive L{\'e}vy noise
M. Kov{\'a}cs, F. Lindner and R. L. Schilling
November 2014

171 
Sparse highdimensional FFT based on rank1 lattice sampling
D. Potts and T. Volkmer
October 2014

170 
Adaptation to lowest density regions with application to support recovery
T. Patschkowski and A. Rohde
September 2014

169 
A class of random functions in nonstandard smoothness spaces
S. Dahlke, N. Döhring and S. Kinzel
September 2014

168 
Multilevel Path Simulation for Weak Approximation Schemes: Myth or Reality
D. Belomestny, T. Nagapetyan and V. Shiryaev
June 2014

167 
Deterministic quadrature formulas for SDEs based on simplified weak ItoTaylor steps
T. MüllerGronbach and L. Yaroslavtseva
June 2014

166 
Computational Methods for the Fourier Analysis of Sparse HighDimensional Functions
L. Kämmerer, S. Kunis, I. Melzer, D. Potts and T. Volkmer
April 2014

165 
Discrepancy estimates for variance bounding Markov chain quasiMonte Carlo
J. Dick and D. Rudolf
April 2014

164 
Tractability of the approximation of highdimensional rank one tensors
E. Novak and D. Rudolf
April 2014

163 
Error Bounds of MCMC for Functions with Unbounded Stationary Variance
D. Rudolf and N. Schweizer
April 2014

162 
Sampling Rules for Tensor Reconstruction
in Hierarchical Tucker Format
M. Kluge
April 2014

161 
Multilevel Monte Carlo for Lévydriven SDEs: central limit theorems for adaptive Euler schemes
S. Dereich and S. Li
March 2014

160 
Quadrature for SelfAffine Distributions on IR^d
S. Dereich and T. MüllerGronbach
March 2014

159 
Approximation of multivariate periodic functions by trigonometric polynomials based on sampling along rank1 lattice with generating vector of Korobov form
L. Kämmerer, D. Potts and T. Volkmer
February 2014

158 
Faster Comparison of Stopping Times by Nested Conditional Monte Carlo
F. Dickmann and N. Schweizer
February 2014

157 
MultiLevel Monte Carlo Approximation of Distribution Functions and Densities
M. Giles, T. Nagapetyan and K. Ritter
February 2014

156 
On the complexity of computing quadrature formulas for marginal distributions of SDEs
T. MüllerGronbach, K. Ritter and L. Yaroslavtseva
January 2014

155 
Multilevel preconditioning for sparse optimization of functionals with nonconvex fidelity terms
S. Dahlke, M. Fornasier, U. Friedrich and T. Raasch
December 2013

154 
On the Backward Euler Approximation of the Stochastic AllenChan Equation
M. Kov{\'a}cs, S. Larsson and F. Lindgren
November 2013

153 
The Total Variation on Hypergraphs  Learning on Hypergraphs Revisited
M. Hein, S. Setzer, L. Jost and S. Rangapuram
November 2013

152 
A Tractability Result for the Clenshaw Curtis Smolyak Algorithm
A. Hinrichs, E. Novak and M. Ullrich
November 2013

151 
Complexity of Oscillatory Integration for Univariate Sobolev Spaces
E. Novak, M. Ullrich and H. Woźniakowski
November 2013

150 
Effective discretization of direct reconstruction schemes for photoacoustic imaging in spherical geometries
F. Filbir, S. Kunis and R. Seyfried
November 2013

149 
Alternating Directions Fitting (ADF) of Hierarchical Low Rank Tensors
L. Grasedyck, M. Kluge and S. Krämer
October 2013

148 
Positivity of hitandrun and related algorithms
D. Rudolf and M. Ullrich
October 2013

147 
Hitandrun for numerical integration
D. Rudolf
October 2013

146 
A primaldual algorithm for BSDEs
C. Bender, N. Schweizer and J. Zhuo
October 2013

145 
Approximation of multivariate functions by trigonometric polynomials based on rank1 lattice sampling
L. Kämmerer, D. Potts and T. Volkmer
September 2013

144 
Multilevel Monte Carlo Quadrature of Discontinuous Payoffs in the Generalized Heston Model using Malliavin Integration by Parts
M. Altmayer and A. Neuenkirch
August 2013

143 
On Embeddings of Weighted Tensor Product Hilbert Spaces
M. Hefter and K. Ritter
August 2013

142 
A short theory of the RayleighRitz method
Harry Yserentant
July 2013

141 
Tree Adaptive Approximation in the Hierarchical Tensor Format
Jonas Ballani and Lars Grasedyck
June 2013

140 
Adaptive Wavelet Schwarz Methods for the NavierStokes Equation
Stephan Dahlke, Dominik Lellek, Shiu Hong Lui and Rob Stevenson
May 2013

139 
Singular Behavior of the Solution to the Stochastic Heat Equation on a Polygonal Domain
Felix Lindner
May 2013

138 
Adaptive NearOptimal Rank Tensor Approximation for HighDimensional Operator Equations
Markus Bachmayr and Wolfgang Dahmen
April 2013

137 
Approximation of HighDimensional Rank One Tensors
Markus Bachmayr, Wolfgang Dahmen, Ronald DeVore and Lars Grasedyck
March 2013

136 
The Curse of Dimensionality for Numerical Integration of Smooth Functions
Aicke Hinrichs, Erich Novak, Mario Ullrich and Henryk Wozniakowski
February 2013

135 
Double Greedy Algorithms: Reduced Basis Methods for Transport Dominated Problems
Wolfgang Dahmen, Christian Plesken and Gerrit Welper
February 2013

134 
Robust Filtering: Correlated Noise and Multidimensional Observation
D. Crisan, J. Diehl, P.K. Friz and H. Oberhauser
January 2013

133 
On Weighted Hilbert Spaces and Integration of Functions of Infinitely Many Variables
M. Gnewuch, S. Mayer and K. Ritter
December 2012

132 
On the $H^1$ stability of the $L_2$ projection onto finite element spaces
R. E. Bank and H. Yserentant
December 2012

131 
$n$term Approximation Rates and Besov Regularity for Elliptic PDEs on Polyhedral Domains
M. Hansen
December 2012

130 
On the $L_q(L_p)$regularity and Besov smoothness of stochastic parabolic equations on bounded Lipschitz domains
P.A. Cioica, K.H. Kim, K. Lee and F. Lindner
December 2012

129 
Explicit error bounds for Markov chain Monte Carlo
D. Rudolf
August 2012

128 
Numerical analysis of Gaussian approximations in quantum chemistry
M. Bachmayr, H. Chen and R. Schneider
August 2012

127 
On WaveletGalerkin methods for semilinear parabolic equations with additive noise
M. Kov{\'a}cs, S. Larsson and K. Urban
August 2012

126 
Dynamical approximation of hierarchical Tucker and TensorTrain tensors
C. Lubich, T. Rohwedder, R. Schneider and B. Vandereycken
July 2012

125 
Classification Algorithms using Adaptive Partitioning
P. Binev, A. Cohen, W. Dahmen and R. DeVore
July 2012

124 
On the convergence analysis of Rothe's method
P.A. Cioica, S. Dahlke, N. Döhring, U. Friedrich, S. Kinzel, F. Lindner, T. Raasch, K. Ritter and R.L. Schilling
July 2012

123 
On the convergence of the stochastic Galerkin method for random elliptic partial differential equations
A. Mugler and H.J. Starkloff
June 2012

122 
An adaptive sparse grid semiLagrangian scheme for first order HamiltonJacobi Bellman equations
O. Bokanowski, J. Garcke, M. Griebel and I. Klompmaker
June 2012

121 
Effcient lowrank approximation of the stochastic Galerkin matrix in tensor formats
M. Espig, W. Hackbusch, A. Litvinenkoy, H.G. Matthiesy and P. Wähnert
May 2012

120 
Aposteriori estimates for backward SDEs
C. Bender and J. Steiner
April 2012

119 
Error bound for piecewise deterministic processes modeling stochastic reaction systems
T. Jahnke and M. Kreim
March 2012

118 
Wavelet shrinkage on paths for scattered data denoising
D. Heinen and G. Plonka
February 2012

117 
Compressive Video Sampling with Approximate Message Passing Decoding
J. Ma, G. Plonka and M.Y. Hussaini
February 2012

116 
Numerical analysis of augmented plane waves methods for fullpotential electronic structure calculations
H. Chen and R. Schneider
February 2012

115 
Reconstructing hyperbolic cross trigonometric polynomials by sampling along generated sets
L. Kämmerer
February 2012

114 
An iterative reconstruction scheme for photoacoustic imaging
Y. Dong, T. Görner and S. Kunis
December 2011

113 
Efficient and accurate computation of spherical mean values at scattered center points
T. Görner, R. Hielscher and S. Kunis
December 2011

112 
Local convergence of alternating schemes for optimization of convex problems in the TT format
T. Rohwedder and A. Uschmajew
December 2011

111 
Multilevel dual approach for pricing American style derivatives
D. Belomestny and J. Schoenmakers
November 2011

110 
Solving optimal stopping problems by empirical dual optimization and penalization
D. Belomestny
November 2011

109 
On the Complexity of Computing Quadrature Formulas for SDEs
S. Dereich, T. MüllerGronbach and K. Ritter
October 2011

108 
Optimization Problems in Contracted Tensor Networks
M. Espig, W. Hackbusch, S. Handschuh and R. Schneider
October 2011

107 
Efficient Analysis of High Dimensional Data in Tensor Formats
M. Espig, W. Hackbusch, A. Litvinenko, H. Matthies and E. Zander
September 2011

106 
Discontinuous information in the worst case and randomized settings
A. Hinrichs, E. Novak and H. Woźniakowski
September 2011

105 
On Groupoid C*Algebras, Persistent Homology and TimeFrequency Analysis
M. Guillemard and A. Iske
September 2011

104 
Multiconfigurational timedependent Hartree method for describing particle loss due to absorbing boundary conditions
S. Kvaal
September 2011

103 
Local Convergence of the Alternating Least Squares Algorithm For Canonical Tensor Approximation
A. Uschmajew
September 2011

102 
A Note on Quarkonial Systems and Multilevel Partition of Unity Methods
S. Dahlke, P. Oswald and T. Raasch
September 2011

101 
Piecewise Tensor Product Wavelet Bases by Extensions and Approximation Rates
N. Chegini, S. Dahlke, U. Friedrich and R. Stevenson
September 2011

100 
An Introduction to Hierarchical (H) Rank and TTRank of Tensors with Examples
L. Grasedyck and W. Hackbusch
August 2011

99 
Spatial Besov Regularity for Semilinear Stochastic Partial Differential Equations on Bounded Lipschitz Domains
P. A. Cioica and S. Dahlke
July 2011

98 
Error Estimates for the Coupled Cluster Method
T. Rohwedder and R. Schneider
June 2011

97 
The Continuous Coupled Cluster Formulation for the Electronic Schrödinger Equation
T. Rohwedder
June 2011

96 
On the Butterfly Sparse Fourier Transform
S. Kunis and I. Melzer
June 2011

95 
Efficient Iterative Solvers for Stochastic Galerkin Discretizations of LogTransformed Random Diffusion Problems
E. Ullmann, H. C. Elman and O. G. Ernst
June 2011

94 
The Mixed Regularity of Electronic Wave Functions in Fractional Order and Weighted Sobolev Spaces
H.C. Kreusler and H. Yserentant
June 2011

93 
Introduction to Compressed Sensing
M. A. Davenport, M. F. Duarte, Y. C. Eldar and G. Kutyniok
May 2011

92 
Data Separation by Sparse Representations
G. Kutyniok
May 2011

91 
A Parameter Identification Problem for a Nonlinear Parabolic Differential Equation
R. A. Ressel
May 2011

90 
High Quality Image Formation by Nonlocal Means Applied to HighAngle Annular Dark Field Scanning Transmission Electron Microscopy (HAADFSTEM)
P. Binev, F. BlancoSilva, D. Blom, W. Dahmen, P. Lamby, R. Sharpley and T. Vogt
March 2011

89 
Compressed Sensing and Electron Microscopy
P. Binev, W. Dahmen, R. DeVore, P. Lamby, D. Savu and R. Sharpley
March 2011

88 
On Reduced Models for the Chemical Master Equation
T. Jahnke
January 2011

87 
Adaptivity and Variational Stabilization for ConvectionDiffusion Equations
A. Cohen, W. Dahmen and G. Welper
January 2011

86 
An adaptive wavelet method for parameter identification problems in parabolic partial differential equations
S. Dahlke, U. Friedrich, P. Maass, T. Raasch and R.A. Ressel
January 2011

85 
On Besov Regularity of Solutions to Nonlinear Elliptic Partial Differential Equations
S. Dahlke and W. Sickel
January 2011

84 
Constructive quantization: Approximation by empirical measures
S. Dereich, M. Scheutzow and R. Schottstedt
January 2011

83 
Beyond Convergence Rates: Exact Inversion With Tikhonov Regularization With Sparsity Constraints
D.A. Lorenz, S. Schiffler and D. Trede
January 2011

82 
Sparse Tensor Spherical Harmonics Approximation in Radiative Transfer
K. Grella and C. Schwab
January 2011

81 
Adaptive PetrovGalerkin methods for first order transport equations
W. Dahmen, C. Huang, C. Schwab and G. Welper
January 2011

80 
A Derandomization of the Euler Scheme for Scalar Stochastic Differential Equations
T. MüllerGronbach, K. Ritter and L. Yaroslavtseva
January 2011

79 
On Elliptic Partial Differential Equations with Random Coefficients
A. Mugler and H.J. Starkloff
January 2011

78 
Optimal Representation of Piecewise Hölder Smooth Bivariate Functions by the Easy Path Wavelet Transform
G. Plonka, S. Tenorth and A. Iske
January 2011

77 
Adaptive Wavelet Methods for Elliptic Stochastic Partial Differential Equations
P. A. Cioica, S. Dahlke, N. Döhring, S. Kinzel, F. Lindner, T. Raasch, K. Ritter and R. L. Schilling
January 2011

76 
On the Lowrank Approximation by the Pivoted Cholesky Decomposition
H. Harbrecht, M. Peters and R. Schneider
December 2010

75 
Primal and Dual Pricing of Multiple Exercise Options in Continuous Time
C. Bender
December 2010

74 
LeastSquares Monte Carlo for Backward SDEs
C. Bender and J. Steiner
December 2010

73 
An Analysis for the DIIS Acceleration Method used in Quantum Chemistry Calculations
T. Rohwedder and R. Schneider
December 2010

72 
A Local Refinement Strategy for Constructive Quantization of Scalar SDEs
T. MüllerGronbach and K. Ritter
December 2010

71 
The Alternating Linear Scheme for Tensor Optimisation in the TT Format
S. Holtz, T. Rohwedder and R. Schneider
December 2010

70 
An Analysis of Electrical Impedance Tomography with Applications to Tikhonov Regularization
B. Jin and P. Maass
December 2010

69 
Image Separation Using Shearlets
G. Kutyniok and W.Q Lim
November 2010

68 
The Curse of Dimensionality for Monotone and Convex Functions of Many Variables
A. Hinrichs, E. Novak and H. Woźniakowski
November 2010

67 
On the Power of Function Values for the Approximation Problem in Various Settings
E. Novak and H. Woźniakowski
November 2010

66 
Spatial Besov Regularity for Stochastic Partial Differential Equations on Lipschitz Domains
P. A. Cioica, S. Dahlke, S. Kinzel, F. Lindner, T. Raasch, K. Ritter and R. L. Schilling
November 2010

65 
Tensorisation of Vectors and their Efficient Convolution
W. Hackbusch
November 2010

64 
Shearlet Coorbit Spaces: Compactly Supported Analyzing Shearlets, Traces and Embeddings
S. Dahlke, G. Steidl and G. Teschke
October 2010

63 
On Tensor Products of QuasiBanach Spaces
M. Hansen
October 2010

62 
Black Box Approximation of Tensors in Hierarchical Tucker Format
J. Ballani, L. Grasedyck and M. Kluge
October 2010

61 
On Manifolds of Tensors of Fixed TTRank
S. Holtz, T. Rohwedder and R. Schneider
September 2010

60 
On the Convergence of Generalized Polynomial Chaos Expansions
O. G. Ernst, A. Mugler, H.J. Starkloff and E. Ullmann
August 2010

59 
Adaptive ADER Methods Using KernelBased Polyharmonic Spline WENO Reconstruction
T. Aboiyar, E. H. Georgoulis and A. Iske
August 2010

58 
Sparse Recovery and Kronecker Products
S. Jokar
August 2010

57 
On the Optimality of the Inexact Inverse Iteration Coupled with Adaptive Finite Element Methods
A. Zeiser
July 2010

56 
Compactly Supported Shearlets
G. Kutyniok, J. Lemvig and W.Q Lim
July 2010

55 
Wavelet Approximation in Weighted Sobolev Spaces of Mixed Order with Applications to the Electronic Schrödinger Equation
A. Zeiser
July 2010

54 
Shearlets on Bounded Domains
G. Kutyniok and W.Q Lim
July 2010

53 
Interpolation Lattices for Hyperbolic Cross Trigonometric Polynomials
L. Kämmerer, S. Kunis and D. Potts
July 2010

52 
Compressive Sensing Principles and Iterative Sparse Recovery for Inverse and IllPosed Problems
E. Herrholz and G. Teschke
July 2010

51 
Curvature Analysis of Frequency Modulated Manifolds in Dimensionality Reduction
M. Guillemard and A. Iske
June 2010

50 
On the Complexity of the Electronic Schrödinger Equation
H. Yserentant
June 2010

49 
The Mixed Regularity of Electronic Wave Functions Multiplied by Explicit Correlation Factors
H. Yserentant
June 2010

48 
Adaptive Wavelet Methods on Unbounded Domains
S. Kestler and K. Urban
June 2010

47 
Convergence Rates for Greedy Algorithms in Reduced Basis Methods
P. Binev, A. Cohen, W. Dahmen, R. DeVore, G. Petrova and P. Wojtaszczyk
May 2010

46 
A Projection Method to Solve Linear Systems in Tensor Format
J. Ballani and L. Grasedyck
May 2010

45 
Fast HighDimensional Approximation with Sparse Occupancy Trees
P. Binev, W. Dahmen and P. Lamby
May 2010

44 
Best mTerm Approximation and SobolevBesov Spaces of Dominating Mixed Smoothness – the Case of Compact Embeddings
M. Hansen und W. Sickel
April 2010

43 
Polynomial Approximation in Hierarchical Tucker Format by VectorTensorization
L. Grasedyck
April 2010

42 
Error Criteria for Numerical Solutions of Backward SDEs
C. Bender and J. Steiner
April 2010

41 
Construction of Compactly Supported Shearlet Frames
P. Kittipoom, G. Kutyniok and W.Q Lim
March 2010

40 
Deterministic Multilevel Algorithms for Infinitedimensional Integration on R^{N}
B. Niu, F.J. Hickernell, T. MüllerGronbach and K. Ritter
March 2010

39 
Best mTerm Approximation and Tensor Products of Sobolev and Besov Spaces – the Case of Noncompact Embeddings
M. Hansen and W. Sickel
March 2010

38 
Compactly Supported Shearlets are Optimally Sparse
G. Kutyniok and W.Q Lim
February 2010

37 
Irregular Shearlet Frames: Geometry and Approximation Properties
P. Kittipoom, G. Kutyniok and W.Q Lim
February 2010

36 
Solving Chemical Master Equations by Adaptive Wavelet Compression
T. Jahnke and T. Udrescu
January 2010

35 
Inversion of the noisy Radon transform on SO(3) by Gabor frames and sparse recovery principles
P. Cerejeiras, M. Ferreira, U. Kähler and G. Teschke
January 2010

34 
On the Stability of the Hyperbolic Cross Discrete Fourier Transform
L. Kämmerer and S. Kunis
December 2009

33 
Weak Order for the Discretization of the Stochastic Heat Equation Driven by Impulsive Noise
F. Lindner and R. L. Schilling
November 2009

32 
Stochastic Galerkin Matrices
O. G. Ernst and E. Ullmann
November 2009

31 
Preconditioning Stochastic Galerkin Saddle Point Problems
C. E. Powell and E. Ullmann
November 2009

30 
An Error Analysis of the Multiconfiguration Timedependent Hartree Method of Quantum Dynamics
D. Conte and C. Lubich
November 2009

29 
Computing Semiclassical Quantum Dynamics with Hagedorn Wavepackets
E. Faou, V. Gradinaru and C. Lubich
November 2009

28 
Dynamical Lowrank Approximation of Tensors
O. Koch and C. Lubich
November 2009

27 
A New Hybrid Method for Image Approximation using the Easy Path Wavelet Transform
G. Plonka, S. Tenorth and D. Roşca
October 2009

26 
Multilevel Monte Carlo Algorithms for Lévydriven SDEs with Gaussian Correction
S. Dereich
August 2009

25 
Multilevel Preconditioning for Adaptive Sparse Optimization
S. Dahlke, M. Fornasier and T. Raasch
August 2009

24 
A Multilevel Monte Carlo Algorithm for Lévy Driven Stochastic Differential Equations
S. Dereich and F. Heidenreich
August 2009

23 
Multilevel Monte Carlo Algorithms for Infinitedimensional Integration on R^{N}
F.J. Hickernell, T. MüllerGronbach, B. Niu and K. Ritter
August 2009

22 
Best mterm Approximation and LizorkinTriebel Spaces
M. Hansen and W. Sickel
August 2009

21 
Error Bounds for Computing the Expectation by Markov Chain Monte Carlo
D. Rudolf
July 2009

20 
Hierarchical Singular Value Decomposition of Tensors
L. Grasedyck
July 2009

19 
Accelerated Projected Steepest Descent Method for Nonlinear Inverse Problems with Sparsity Constraints
G. Teschke and C. Borries
July 2009

18 
CurveletWavelet Regularized Split Bregman Iteration for Compressed Sensing
G. Plonka and J. Ma
June 2009

17 
Function Spaces and Optimal Currents in Impedance Tomography
B. Jin, T. Khan, P. Maass and M. Pidcock
June 2009

16 
Optimal Approximation of Elliptic Problems by Linear and Nonlinear Mappings IV: Errors in L_{2} and Other Norms
S. Dahlke, E. Novak and W. Sickel
June 2009

15 
Optimally Sparse Image Representation by the Easy Path Wavelet Transform
G. Plonka, S. Tenorth and A. Iske
May 2009

14 
Variable Subspace Sampling and Multilevel Algorithms
T. MüllerGronbach and K. Ritter
May 2009

13 
Dual Pricing of MultiExercise Options under Volume Constraints
C. Bender
April 2009

12 
Nonequispaced Hyperbolic Cross Fast Fourier Transform
M. Döhler, S. Kunis and D. Potts
April 2009

11 
Regularization with Nonconvex Separable Constraints
K. Bredies and D. A. Lorenz
April 2009

10 
Minimization of Nonsmooth, Nonconvex Functionals by Iterative Thresholding
K. Bredies and D. A. Lorenz
April 2009

9 
A Two Parameter Generalization of Lions' Nonoverlapping Domain Decomposition Method for Linear Elliptic PDEs
U. Friedrich
April 2009

8 
Greedy Solution of IllPosed Problems: Error Bounds and Exact Inversion
L. Denis, D. A. Lorenz and D. Trede
April 2009

7 
A Review of Curvelets and Recent Applications
J. Ma and G. Plonka
February 2009

6 
Approximation of Infinitely Differentiable Multivariate Functions Is Intractable
E. Novak and H. Woźniakowski
January 2009

5 
Adaptive Wavelet Methods and Sparsity Reconstruction for Inverse Heat Conduction Problems
T. Bonesky, S. Dahlke, P. Maass and T. Raasch
January 2009

4 
Black Box Low Tensor Rank Approximation Using FibreCrosses
M. Espig, L. Grasedyck and W. Hackbusch
October 2008

3 
Optimal Order of Convergence and (In) Tractability of Multivariate Approximation of Smooth Functions
E. Novak and H. Woźniakowski
October 2008

2 
The Easy Path Wavelet Transform: A New Adaptive Wavelet Transform for Sparse Representation of Twodimensional Data
G. Plonka
September 2008

1 
A Compressive Landweber Iteration for Solving IllPosed Inverse Problems
R. Ramlau, G. Teschke and M. Zhariy
September 2008
