Eugene E. Tyrtyshnikov

CoRR, 2022

2021

Residual and Restarting in Krylov Subspace Evaluation of the φ Function.

[BibT_eX]

[DOI]

Mike A. Botchev

Leonid Knizhnerman

SIAM J. Sci. Comput., 2021

Tensor-Train Numerical Integration of Multivariate Functions with Singularities.

[BibT_eX]

[DOI]

Lev I. Vysotsky

Alexander V. Smirnov

CoRR, 2021

2020

A residual concept for Krylov subspace evaluation of the 𝓁 matrix function.

[BibT_eX]

[DOI]

Mike A. Botchev

Leonid A. Knizhnerman

CoRR, 2020

Model reduction in Smoluchowski-type equations.

[BibT_eX]

[DOI]

Ivan V. Timokhin

CoRR, 2020

2019

Newton method for stationary and quasi-stationary problems for Smoluchowski-type equations.

[BibT_eX]

[DOI]

Ivan V. Timokhin

Nana Siddharth

Nikolai V. Brilliantov

J. Comput. Phys., 2019

Supercomputer Modelling of Spatially-heterogeneous Coagulation using MPI and CUDA.

[BibT_eX]

[DOI]

Proceedings of the Supercomputing, 2019

Application of the Global Optimization Methods for Solving the Parameter Estimation Problem in Mathematical Immunology.

[BibT_eX]

[DOI]

Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

Nonnegative Tensor Train Factorizations and Some Applications.

[BibT_eX]

[DOI]

Elena Shcherbakova

Proceedings of the Large-Scale Scientific Computing - 12th International Conference, 2019

2018

Parallel Numerical Algorithm for Solving Advection Equation for Coagulating Particles.

[BibT_eX]

[DOI]

Rishat R. Zagidullin

Supercomput. Front. Innov., 2018

Anderson acceleration method of finding steady-state particle size distribution for a wide class of aggregation-fragmentation models.

[BibT_eX]

[DOI]

Nikolai V. Brilliantov

Comput. Phys. Commun., 2018

2017

Tensor Train Global Optimization: Application to Docking in the Configuration Space with a Large Number of Dimensions.

[BibT_eX]

[DOI]

Vladimir B. Sulimov

Proceedings of the Supercomputing, 2017

2016

Tensor train versus Monte Carlo for the multicomponent Smoluchowski coagulation equation.

[BibT_eX]

[DOI]

Dmitry A. Zheltkov

J. Comput. Phys., 2016

Fast and Accurate Finite-difference Method Solving Multicomponent Smoluchowski Coagulation Equation with Source and Sink Terms.

[BibT_eX]

[DOI]

Dmitry A. Zheltkov

Proceedings of the International Conference on Computational Science 2016, 2016

2015

A fast numerical method for the Cauchy problem for the Smoluchowski equation.

[BibT_eX]

[DOI]

J. Comput. Phys., 2015

2014

Low-rank approximation in the numerical modeling of the Farley-Buneman instability in ionospheric plasma.

[BibT_eX]

[DOI]

Sergey V. Dolgov

J. Comput. Phys., 2014

Superfast solution of linear convolutional Volterra equations using QTT approximation.

[BibT_eX]

[DOI]

Jason A. Roberts

J. Comput. Appl. Math., 2014

Iterative across-time solution of linear differential equations: Krylov subspace versus waveform relaxation.

[BibT_eX]

[DOI]

Mike A. Botchev

Evgenii Evgenvich Tyrtyshnikov

Comput. Math. Appl., 2014

Iterative Methods for Linear Systems - Theory and Applications.

[BibT_eX]

[DOI]

Maxim A. Olshanskii

SIAM, ISBN: 978-1-61197-345-7, 2014

2013

Multilevel Toeplitz Matrices Generated by Tensor-Structured Vectors and Convolution with Logarithmic Complexity.

[BibT_eX]

[DOI]

Vladimir A. Kazeev

SIAM J. Sci. Comput., 2013

2012

Fast truncation of mode ranks for bilinear tensor operations.

[BibT_eX]

[DOI]

Nickolai L. Zamarashkin

Numer. Linear Algebra Appl., 2012

Structured matrices and tensors.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2012

Use of tensor formats in elliptic eigenvalue problems.

[BibT_eX]

[DOI]

Wolfgang Hackbusch

Stefan A. Sauter

Numer. Linear Algebra Appl., 2012

2011

Algebraic Wavelet Transform via Quantics Tensor Train Decomposition.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2011

Tensor-Train Ranks for Matrices and Their Inverses.

[BibT_eX]

[DOI]

Nickolai L. Zamarashkin

Comput. Methods Appl. Math., 2011

Preface to the special issue, CMAM 2011, no. 3.

[BibT_eX]

[DOI]

Ivan P. Gavrilyuk

Comput. Methods Appl. Math., 2011

2010

A Fast Algorithm for Updating and Downsizing the Dominant Kernel Principal Components.

[BibT_eX]

[DOI]

Nicola Mastronardi

Paul Van Dooren

SIAM J. Matrix Anal. Appl., 2010

Decay in Functions of Multiband Matrices.

[BibT_eX]

[DOI]

Nicola Mastronardi

Michael K. Ng

SIAM J. Matrix Anal. Appl., 2010

Cross approximation in tensor electron density computations.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2010

Tensor ranks for the inversion of tensor-product binomials.

[BibT_eX]

[DOI]

J. Comput. Appl. Math., 2010

2009

Breaking the Curse of Dimensionality, Or How to Use SVD in Many Dimensions.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2009

Fast Simultaneous Orthogonal Reduction to Triangular Matrices.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2009

Optimal in-place transposition of rectangular matrices.

[BibT_eX]

[DOI]

Alexey Tret'yakov

J. Complex., 2009

Linear algebra for tensor problems.

[BibT_eX]

[DOI]

Computing, 2009

2008

Tucker Dimensionality Reduction of Three-Dimensional Arrays in Linear Time.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

Approximate iterations for structured matrices.

[BibT_eX]

[DOI]

Wolfgang Hackbusch

Numerische Mathematik, 2008

2006

Parallel iterative multilevel solution of mixed finite element systems for scalar equations.

[BibT_eX]

[DOI]

Concurr. Comput. Pract. Exp., 2006

2005

Some Remarks on the Elman Estimate for GMRES.

[BibT_eX]

[DOI]

Bernhard Beckermann

Sergei A. Goreinov

SIAM J. Matrix Anal. Appl., 2005

Structured preconditioners for operator equations.

[BibT_eX]

[DOI]

Numer. Linear Algebra Appl., 2005

Solving linear systems using wavelet compression combined with Kronecker product approximation.

[BibT_eX]

[DOI]

Judith M. Ford

Numer. Algorithms, 2005

Hierarchical Kronecker tensor-product approximations.

[BibT_eX]

[DOI]

Wolfgang Hackbusch

J. Num. Math., 2005

2003

Combining Kronecker Product Approximation with Discrete Wavelet Transforms to Solve Dense, Function-Related Linear Systems.

[BibT_eX]

[DOI]

Judith M. Ford

SIAM J. Sci. Comput., 2003

How to prove that a preconditioner cannot be superlinear.

[BibT_eX]

[DOI]

Stefano Serra Capizzano

Math. Comput., 2003

2000

Any Circulant-Like Preconditioner for Multilevel Matrices Is Not Superlinear.

[BibT_eX]

[DOI]

Stefano Serra Capizzano

SIAM J. Matrix Anal. Appl., 2000

Incomplete Cross Approximation in the Mosaic-Skeleton Method.

[BibT_eX]

[DOI]

Computing, 2000

1999

Mosaic Ranks for Weakly Semiseparable Matrices.

[BibT_eX]

Proceedings of the Large-Scale Scientific Computation for Engineering and Environmental Problems, 1999

1997

Matrix-free iterative solution strategies for large dense linear systems.

[BibT_eX]

[DOI]

Sergei A. Goreinov

Alex Yu. Yeremin

Numer. Linear Algebra Appl., 1997

1996

Which circulant preconditioner is better?

[BibT_eX]

[DOI]

Vasily Strela

Math. Comput., 1996

Mosaic Ranks and Skeletons.

[BibT_eX]

[DOI]

Proceedings of the Numerical Analysis and Its Applications, First International Workshop, 1996

1992

Optimal and Superoptimal Circulant Preconditioners.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 1992

1990

New approaches to deriving parallel algorithms.

[BibT_eX]

[DOI]