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Analysis of Tensor Approximation Schemes for Continuous Functions

Foundations of computational mathematics, 2023-02, Vol.23 (1), p.219-240

2023

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Compression of boundary integral operators discretized by anisotropic wavelet bases

Numerische Mathematik, 2024, Vol.156 (3), p.853-899

2024

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Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction

Advances in computational mathematics, 2024, Vol.50 (5), Article 101

2024

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Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM

Stochastic partial differential equations : analysis and computations, 2022-12, Vol.10 (4), p.1619-1650

2022

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Shape optimization for composite materials in linear elasticity

Optimization and engineering, 2023-09, Vol.24 (3), p.2115-2143

2023

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On the low-rank approximation by the pivoted Cholesky decomposition

Applied numerical mathematics, 2012-04, Vol.62 (4), p.428-440

2012

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Approximating solution spaces as a product of polygons

Structural and multidisciplinary optimization, 2021-10, Vol.64 (4), p.2225-2242

2021

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Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion

Stochastic partial differential equations : analysis and computations, 2020-03, Vol.8 (1), p.54-81

2020

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Modeling the persistence of Opisthorchis viverrini worm burden after mass-drug administration and education campaigns with systematic adherence

PLoS neglected tropical diseases, 2024-02, Vol.18 (2), p.e0011362-e0011362

2024

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On the Numerical Solution of a Shape Optimization Problem for the Heat Equation

SIAM journal on scientific computing, 2013-01, Vol.35 (1), p.A104-A121

2013

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Uncertainty quantification for random domains using periodic random variables

Numerische Mathematik, 2024-02, Vol.156 (1), p.273-317

2024

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On the construction of sparse tensor product spaces

Mathematics of computation, 2013-04, Vol.82 (282), p.975-994

2013

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Boundary Integral Operators for the Heat Equation in Time-Dependent Domains

Integral equations and operator theory, 2022-06, Vol.94 (2), Article 10

2022

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Algorithmische Mathematik: Graphen, Numerik und Probabilistik

1st Aufl 2022nd edition, 2022

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On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion

Mathematics of computation, 2017-03, Vol.86 (304), p.771-797

2017

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Improved trial methods for a class of generalized Bernoulli problems

Journal of mathematical analysis and applications, 2014-12, Vol.420 (1), p.177-194

2014

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ON ADAPTIVE WAVELET BOUNDARY ELEMENT METHODS

Journal of computational mathematics, 2018-01, Vol.36 (1), p.90-109

2018

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Computation of Shape Derivatives in Electromagnetic Shaping by Algorithmic Differentiation

Journal of Mathematical Study, 2019-09, Vol.52 (3), p.227-243

2019

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Samplets: Construction and scattered data compression

Journal of computational physics, 2022-12, Vol.471, p.111616, Article 111616

2022

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A fast direct solver for nonlocal operators in wavelet coordinates

Journal of computational physics, 2021-03, Vol.428, p.110056, Article 110056

2021

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An efficient numerical method for a shape-identification problem arising from the heat equation

Inverse problems, 2011-06, Vol.27 (6), p.065013

2011

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Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data

Mathematical methods in the applied sciences, 2015-09, Vol.38 (13), p.2850-2863

2015

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On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem

SIAM journal on control and optimization, 2022-02, Vol.60 (1), p.310-329

2022

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An optimal adaptive wavelet method without coarsening of the iterands

Mathematics of computation, 2007-04, Vol.76 (258), p.615-629

2007

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Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control

SIAM journal on control and optimization, 2021-01, Vol.59 (6), p.4538-4562

2021

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Analysis of Tensor Approximation Schemes for Continuous Functions

Compression of boundary integral operators discretized by anisotropic wavelet bases

Multilevel approximation of Gaussian random fields: Covariance compression, estimation, and spatial prediction

Multilevel quadrature for elliptic problems on random domains by the coupling of FEM and BEM

Shape optimization for composite materials in linear elasticity

On the low-rank approximation by the pivoted Cholesky decomposition

Approximating solution spaces as a product of polygons

Multilevel methods for uncertainty quantification of elliptic PDEs with random anisotropic diffusion

Modeling the persistence of Opisthorchis viverrini worm burden after mass-drug administration and education campaigns with systematic adherence

On the Numerical Solution of a Shape Optimization Problem for the Heat Equation

Uncertainty quantification for random domains using periodic random variables

On the construction of sparse tensor product spaces

Boundary Integral Operators for the Heat Equation in Time-Dependent Domains

Algorithmische Mathematik: Graphen, Numerik und Probabilistik

On the quasi-Monte Carlo method with Halton points for elliptic PDEs with log-normal diffusion

Improved trial methods for a class of generalized Bernoulli problems

ON ADAPTIVE WAVELET BOUNDARY ELEMENT METHODS

Computation of Shape Derivatives in Electromagnetic Shaping by Algorithmic Differentiation

Samplets: Construction and scattered data compression

A fast direct solver for nonlocal operators in wavelet coordinates

An efficient numerical method for a shape-identification problem arising from the heat equation

Stabilization of the trial method for the Bernoulli problem in case of prescribed Dirichlet data

On the Reformulation of the Classical Stefan Problem as a Shape Optimization Problem

An optimal adaptive wavelet method without coarsening of the iterands

Sparse Grid Approximation of the Riccati Operator for Closed Loop Parabolic Control Problems with Dirichlet Boundary Control

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