Wolfgang Hackbusch

Anthony Nouy

CoRR, 2020

2019

On the Dirac-Frenkel Variational Principle on Tensor Banach Spaces.

[BibT_eX]

[DOI]

Antonio Falcó

Anthony Nouy

Found. Comput. Math., 2019

Post-Processing of High-Dimensional Data.

[BibT_eX]

[DOI]

CoRR, 2019

Computation of best L∞ exponential sums for 1 / x by Remez' algorithm.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2019

2017

Perturbation of Higher-Order Singular Values.

[BibT_eX]

[DOI]

Daniel Kressner

André Uschmajew

SIAM J. Appl. Algebra Geom., 2017

On the interconnection between the higher-order singular values of real tensors.

[BibT_eX]

[DOI]

André Uschmajew

Numerische Mathematik, 2017

2016

New estimates for the recursive low-rank truncation of block-structured matrices.

[BibT_eX]

[DOI]

Numerische Mathematik, 2016

2015

Solution of linear systems in high spatial dimensions.

[BibT_eX]

[DOI]

Sambasiva Rao Chinnamsetty

Comput. Vis. Sci., 2015

Mesh-free canonical tensor products for six-dimensional density matrix: computation of kinetic energy.

[BibT_eX]

[DOI]

Mike Espig

Comput. Vis. Sci., 2015

2014

Efficient low-rank approximation of the stochastic Galerkin matrix in tensor formats.

[BibT_eX]

[DOI]

Comput. Math. Appl., 2014

Numerical tensor calculus.

[BibT_eX]

[DOI]

Acta Numer., 2014

2013

L∞ estimation of tensor truncations.

[BibT_eX]

[DOI]

Numerische Mathematik, 2013

2012

Variational calculus with sums of elementary tensors of fixed rank.

[BibT_eX]

[DOI]

Numerische Mathematik, 2012

A regularized Newton method for the efficient approximation of tensors represented in the canonical tensor format.

[BibT_eX]

[DOI]

Mike Espig

Numerische Mathematik, 2012

Use of tensor formats in elliptic eigenvalue problems.

[BibT_eX]

[DOI]

Eugene E. Tyrtyshnikov

Numer. Linear Algebra Appl., 2012

A fast solver for the gyrokinetic field equation with adiabatic electrons.

[BibT_eX]

[DOI]

Matthias Borchardt

Ralf Kleiber

J. Comput. Phys., 2012

On Minimal Subspaces in Tensor Representations.

[BibT_eX]

[DOI]

Antonio Falcó

Found. Comput. Math., 2012

Partial evaluation of the discrete solution of elliptic boundary value problems.

[BibT_eX]

[DOI]

Florian Drechsler

Comput. Vis. Sci., 2012

2011

Tensorisation of vectors and their efficient convolution.

[BibT_eX]

[DOI]

Volodymyr P. Sergiievskyi

Numerische Mathematik, 2011

Multigrid solver for the reference interaction site model of molecular liquids theory.

[BibT_eX]

[DOI]

Maxim V. Fedorov

J. Comput. Chem., 2011

Optimization problems in contracted tensor networks.

[BibT_eX]

[DOI]

Comput. Vis. Sci., 2011

An Introduction to Hierarchical (H-) Rank and TT-Rank of Tensors with Examples.

[BibT_eX]

[DOI]

Comput. Methods Appl. Math., 2011

2010

On the efficient convolution with the Newton potential.

[BibT_eX]

[DOI]

Sambasiva Rao Chinnamsetty

Kishore Kumar Naraparaju

Jan Schneider

J. Num. Math., 2010

Efficient multi-scale computation of products of orbitals in electronic structure calculations.

[BibT_eX]

[DOI]

Heinz-Jürgen Flad

Comput. Vis. Sci., 2010

2008

Tensor-Product Approximation to Multidimensional Integral Operators and Green's Functions.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

Approximate iterations for structured matrices.

[BibT_eX]

[DOI]

Eugene E. Tyrtyshnikov

Numerische Mathematik, 2008

Efficient convolution with the Newton potential in d dimensions.

[BibT_eX]

[DOI]

Numerische Mathematik, 2008

Numerical method for elliptic multiscale problems.

[BibT_eX]

[DOI]

Isabelle Greff

J. Num. Math., 2008

H-matrix methods for quadratic integral operators appearing in population balances.

[BibT_eX]

[DOI]

Jürgen Koch

Kai Sundmacher

Comput. Chem. Eng., 2008

2007

Numerical Mathematics of the Subtraction Method for the Modeling of a Current Dipole in EEG Source Reconstruction Using Finite Element Head Models.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2007

Optimal Panel-Clustering in the Presence of Anisotropic Mesh Refinement.

[BibT_eX]

[DOI]

SIAM J. Numer. Anal., 2007

A Multigrid Method to Solve Large Scale Sylvester Equations.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2007

Adaptive Galerkin boundary element methods with panel clustering.

[BibT_eX]

[DOI]

Numerische Mathematik, 2007

Approximation of coalescence integrals in population balance models with local mass conservation.

[BibT_eX]

[DOI]

Numerische Mathematik, 2007

Stabilized rounded addition of hierarchical matrices.

[BibT_eX]

[DOI]

Mario Bebendorf

Numer. Linear Algebra Appl., 2007

Tensor-product approximation to operators and functions in high dimensions.

[BibT_eX]

[DOI]

J. Complex., 2007

A projection method for the computation of inner eigenvalues using high degree rational operators.

[BibT_eX]

[DOI]

W. Kress

Computing, 2007

Fast and exact projected convolution for non-equidistant grids.

[BibT_eX]

[DOI]

Computing, 2007

H-matrix methods for linear and quasi-linear integral operators appearing in population balances.

[BibT_eX]

[DOI]

Jürgen Koch

Kai Sundmacher

Comput. Chem. Eng., 2007

2006

Coarsening of Boundary-element Spaces.

[BibT_eX]

[DOI]

M. Löhndorf

Computing, 2006

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part II. HKT Representation of Certain Operators.

[BibT_eX]

[DOI]

Computing, 2006

Low-rank Kronecker-product Approximation to Multi-dimensional Nonlocal Operators. Part I. Separable Approximation of Multi-variate Functions.

[BibT_eX]

[DOI]

Computing, 2006

On the Efficient Evaluation of Coalescence Integrals in Population Balance Models.

[BibT_eX]

[DOI]

Computing, 2006

Approximation of 1/||x-y|| by Exponentials for Wavelet Applications (Short Communication).

[BibT_eX]

[DOI]

Computing, 2006

2005

Data-sparse approximation to a class of operator-valued functions.

[BibT_eX]

[DOI]

Math. Comput., 2005

Hierarchical Kronecker tensor-product approximations.

[BibT_eX]

[DOI]

Eugene E. Tyrtyshnikov

J. Num. Math., 2005

Hierarchical Tensor-Product Approximation to the Inverse and Related Operators for High-Dimensional Elliptic Problems.

[BibT_eX]

[DOI]

Computing, 2005

Hierarchical Quadrature for Singular Integrals.

[BibT_eX]

[DOI]

Steffen Börm

Computing, 2005

2004

Data-sparse approximation to the operator-valued functions of elliptic operator.

[BibT_eX]

[DOI]

Math. Comput., 2004

Inverse inequalities on non-quasi-uniform meshes and application to the mortar element method.

[BibT_eX]

[DOI]

Math. Comput., 2004

Hierarchical Matrices Based on a Weak Admissibility Criterion.

[BibT_eX]

[DOI]

Ronald Kriemann

Computing, 2004

Adaptive Geometrically Balanced Clustering of H-Matrices.

[BibT_eX]

[DOI]

Sabine Le Borne

Computing, 2004

2003

Existence of ℋ-matrix approximants to the inverse FE-matrix of elliptic operators with L∞-coefficients.

[BibT_eX]

[DOI]

Mario Bebendorf

Numerische Mathematik, 2003

Solution of Large Scale Algebraic Matrix Riccati Equations by Use of Hierarchical Matrices.

[BibT_eX]

[DOI]

Computing, 2003

Construction and Arithmetics of H-Matrices.

[BibT_eX]

[DOI]

Computing, 2003

2002

ℋ-Matrix approximation for the operator exponential with applications.

[BibT_eX]

[DOI]

Numerische Mathematik, 2002

Blended kernel approximation in the ℋ-matrix techniques.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2002

Data-sparse Approximation by Adaptive H2-Matrices.

[BibT_eX]

[DOI]

Steffen Börm

Computing, 2002

Direct Integration of the Newton Potential over Cubes.

[BibT_eX]

[DOI]

Computing, 2002

2001

ℋ-matrix approximation for elliptic solution operators in cylinder domains.

[BibT_eX]

[DOI]

J. Num. Math., 2001

The Efficient Computation of Certain Determinants Arising in the Treatment of Schroedinger's Equations.

[BibT_eX]

[DOI]

Computing, 2001

2000

Hybrid Galerkin boundary elements: theory and implementation.

[BibT_eX]

[DOI]

Ivan G. Graham

Numerische Mathematik, 2000

Discrete boundary element methods on general meshes in 3D.

[BibT_eX]

[DOI]

Ivan G. Graham

Numerische Mathematik, 2000

A Sparse H-Matrix Arithmetic. Part II: Application to Multi-Dimensional Problems.

[BibT_eX]

[DOI]

Computing, 2000

1999

A Sparse Matrix Arithmetic Based on H-Matrices. Part I: Introduction to H-Matrices.

[BibT_eX]

[DOI]

Computing, 1999

A Multigrid Method for Nonconforming FE-Discretisations with Application to Non-Matching Grids.

[BibT_eX]

[DOI]

Dietrich Braess

Maksimillian Dryja

Computing, 1999

1998

Remarks on A Posteriori Error Estimation for Inaccurate Finite Element Solutions.

[BibT_eX]

[DOI]

J. U. Wappler

Computing, 1998

Additive and Multiplicative Multi-Grid - A Comparison.

[BibT_eX]

[DOI]

Peter Bastian

Gabriel Wittum

Computing, 1998

1997

Downwind Gauß-Seidel Smoothing for Convection Dominated Problems.

[BibT_eX]

[DOI]

Thomas Probst

Numer. Linear Algebra Appl., 1997

On the Feedback Vertex Set Problem for a Planar Graph.

[BibT_eX]

[DOI]

Computing, 1997

1995

A Note on Reusken's Lemma.

[BibT_eX]

[DOI]

Computing, 1995

1994

On numerical cubatures of nearly singular surface integrals arising in BEM collocation.

[BibT_eX]

[DOI]

Computing, 1994

1989

On first and second order box schemes.

[BibT_eX]

[DOI]

Computing, 1989

1986

Theorie und Numerik elliptischer Differentialgleichungen.

[BibT_eX]

Teubner Studienbücher, Teubner, ISBN: 978-3-519-02074-5, 1986

1985

Multi-grid methods and applications.

[BibT_eX]

Springer series in computational mathematics 4, Springer, ISBN: 978-3-540-12761-1, 1985

1978

On the multi-grid method applied to difference equations.

[BibT_eX]

[DOI]

Computing, 1978

A numerical method for solving parabolic equations with opposite orientations.

[BibT_eX]

[DOI]

Computing, 1978

On a method of characteristics for solving a hyperbolic equation of second order.

[BibT_eX]

[DOI]