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Khoromskiĭ, Boris Nikolaevich

Co-Author Distance

Author ID:: khoromskii.boris-n
Published as:: Khoromskij, Boris N.;Khoromskij, B. N.;Khoromskij, Boris;Khoromsky, B. N.;Khoronskij, Boris N.;Khoromskii, B. N.;Khoromskij, B.more...less
Homepage:: https://personal-homepages.mis.mpg.de/bokh/
External Links:: Google Scholar ·Math-Net.Ru ·dblp ·GND

Documents Indexed:

137 Publications since 1976, including3 Books and9 Additional arXiv Preprints

3 Contributions as Editor

Co-Authors:

61 Co-Authors with 124 Joint Publications

2,266 Co-Co-Authors

all top 5

Co-Authors

16	single-authored
31	Khoromskaia, Venera
24	Hackbusch, Wolfgang
13	Zhidkov, Eugeni P.
12	Dolgov, Sergey V.
9	Gavrilyuk, Ivan P.
8	Benner, Peter
8	Tyrtyshnikov, Evgeniĭ Evgen’evich
8	Wittum, Gabriel
6	Litvinenko, Alexander
6	Mazurkevich, G. E.
6	Oseledets, Ivan Valer’evich
5	Flad, Heinz-Jürgen
4	Matthies, Hermann Georg
4	Sauter, Stefan
3	Kazeev, Vladimir A.
3	Kriemann, Ronald
3	Kweyu, Cleophas M.
3	Savostyanov, Dmitry V.
3	Schmidt, Gunther
3	Schneider, Reinhold
3	Schulz, Volker H.
3	Stein, Matthias
3	Yamaleev, Robert M.
2	Gareev, Fangil A.
2	Goncharov, S. A.
2	Grasedyck, Lars
2	Jüttler, Bert
2	Langer, Ulrich
2	Mantzaflaris, Angelos
2	Melenk, Jens Markus
2	Nedyalkov, I. P.
2	Nikonov, Eh. G.
2	Prössdorf, Siegfried
2	Puzynin, Igor V.
2	Repin, Sergeĭ Igorevich
2	Schmitt, Britta
2	Veit, Alexander
2	Wendland, Wolfgang L.
1	Akishin, Pavel G.
1	Amirkhanov, Ilkizar Valer’evich
1	Andrae, Dirk
1	Bertoglio, Cristóbal
1	Chinnamsetty, Sambasiva Rao
1	Chuev, Gennady N.
1	Etter, Simon
1	Fedorov, Maxim V.
1	Hebeker, Friedrich-Karl
1	Heidel, Gennadij
1	Hsiao, George Chia-Chu
1	Keyes, David Elliot
1	Kumar, N. Kishore
1	Miao, Sentao
1	Ngen, M.
1	Nguen, M. Kh.
1	Otto, Felix
1	Schneider, Jan
1	Schwab, Christoph
1	Sun, Bonan
1	Yang, Chao
1	Yudin, I. P.
1	Zhidkova, I. E.

all top 5

Serials

13	Computational Methods in Applied Mathematics
11	Numerical Linear Algebra with Applications
10	SIAM Journal on Scientific Computing
9	Computing
6	Numerische Mathematik
5	Computer Physics Communications
5	Journal of Computational Physics
4	Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki
4	SIAM Journal on Matrix Analysis and Applications
4	U.S.S.R. Computational Mathematics and Mathematical Physics
3	Mathematics of Computation
3	East-West Journal of Numerical Mathematics
3	Russian Journal of Numerical Analysis and Mathematical Modelling
3	Journal of Numerical Mathematics
2	Journal of Computational and Applied Mathematics
2	Constructive Approximation
2	Soviet Journal of Numerical Analysis and Mathematical Modelling
2	Advances in Computational Mathematics
2	Computing and Visualization in Science
2	Matematicheskoe Modelirovanie
1	Computer Methods in Applied Mechanics and Engineering
1	Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
1	Differential Equations
1	Mathematics and Computers in Simulation
1	SIAM Journal on Numerical Analysis
1	Soviet Mathematics. Doklady
1	Journal of Computational Mathematics
1	Journal of Complexity
1	Journal of Integral Equations and Applications
1	Computational Mathematics and Mathematical Physics
1	Linear Algebra and its Applications
1	SIAM Review
1	Vychislitel’nye Protsessy i Sistemy
1	Siberian Journal of Computer Mathematics
1	Engineering Analysis with Boundary Elements
1	The Journal of Fourier Analysis and Applications
1	Central European Journal of Mathematics
1	Lecture Notes in Computational Science and Engineering
1	Radon Series on Computational and Applied Mathematics
1	SIAM/ASA Journal on Uncertainty Quantification
1	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys

all top 5

Fields

128	Numerical analysis (65-XX)
52	Partial differential equations (35-XX)
28	Linear and multilinear algebra; matrix theory (15-XX)
14	Integral equations (45-XX)
11	Quantum theory (81-XX)
10	Optics, electromagnetic theory (78-XX)
9	Operator theory (47-XX)
7	Probability theory and stochastic processes (60-XX)
6	Functional analysis (46-XX)
4	General and overarching topics; collections (00-XX)
4	Calculus of variations and optimal control; optimization (49-XX)
4	Statistical mechanics, structure of matter (82-XX)
3	Special functions (33-XX)
2	Potential theory (31-XX)
2	Integral transforms, operational calculus (44-XX)
2	Mechanics of deformable solids (74-XX)
2	Fluid mechanics (76-XX)
2	Biology and other natural sciences (92-XX)
1	Ordinary differential equations (34-XX)
1	Approximations and expansions (41-XX)
1	Harmonic analysis on Euclidean spaces (42-XX)
1	Operations research, mathematical programming (90-XX)
1	Systems theory; control (93-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

105 Publications have been cited 2,140 times in927 Documents	Cited by ▼	Year ▼
A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems. Zbl 0962.65029 Hackbusch, W.;Khoromskij, B. N.	149	2000
\(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling. Zbl 1228.65069 Khoromskij, Boris N.	105	2011
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs. Zbl 1243.65009 Khoromskij, Boris N.;Schwab, Christoph	91	2011
On \({\mathcal H}^2\)-matrices. Zbl 0963.65043 Hackbusch, W.;Khoromskij, B.;Sauter, S. A.	76	2000
Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions. Zbl 1087.65049 Hackbusch, W.;Khoromskij, B. N.	62	2006
Multigrid accelerated tensor approximation of function related multidimensional arrays. Zbl 1197.65215 Khoromskij, B. N.;Khoromskaia, V.	58	2009
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems. Zbl 1071.65032 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	54	2005
Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035 Hackbusch, W.;Khoromskij, B. N.;Tyrtyshnikov, E. E.	54	2005
Fast solution of parabolic problems in the tensor train/quantized tensor train format with initial application to the Fokker-Planck equation. Zbl 1259.82075 Dolgov, S. V.;Khoromskij, B. N.;Oseledets, I. V.	53	2012
Tensor numerical methods in scientific computing. Zbl 1405.65002 Khoromskij, Boris N.	53	2018
Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices. Zbl 1239.65026 Grasedyck, Lars;Hackbusch, Wolfgang;Khoromskij, B. N.	52	2003
Hierarchical matrices based on a weak admissibility criterion. Zbl 1063.65035 Hackbusch, W.;Khoromskij, B. N.;Kriemann, R.	50	2004
Approximate iterations for structured matrices. Zbl 1144.65029 Hackbusch, Wolfgang;Khoromskij, Boris N.;Tyrtyshnikov, Eugene E.	49	2008
Low-rank explicit QTT representation of the Laplace operator and its inverse. Zbl 1268.15025 Kazeev, Vladimir A.;Khoromskij, Boris N.	47	2012
Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185 Mantzaflaris, Angelos;Jüttler, Bert;Khoromskij, Boris N.;Langer, Ulrich	47	2017
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271 Dolgov, Sergey;Khoromskij, Boris N.;Litvinenko, Alexander;Matthies, Hermann G.	42	2015
Structured rank-\((r_1, \dots , r_d)\) decomposition of function-related tensors in \(\mathbb R^d\). Zbl 1120.65052 Khoromskij, B. N.	39	2006
Tensor numerical methods for multidimensional PDEs: theoretical analysis and initial applications. Zbl 1382.65461 Khoromskij, Boris N.	38	2015
Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\). Zbl 1185.65051 Khoromskij, Boris N.	36	2009
Tensor-product approximation to operators and functions in high dimensions. Zbl 1141.65032 Hackbusch, Wolfgang;Khoromskij, Boris N.	36	2007
Multilevel Toeplitz matrices generated by tensor-structured vectors and convolution with logarithmic complexity. Zbl 1275.15018 Kazeev, Vladimir A.;Khoromskij, Boris N.;Tyrtyshnikov, Eugene E.	35	2013
Computation of extreme eigenvalues in higher dimensions using block tensor train format. Zbl 1344.65043 Dolgov, S. V.;Khoromskij, B. N.;Oseledets, I. V.;Savostyanov, D. V.	35	2014
Data-sparse approximation to the operator-valued functions of elliptic operator. Zbl 1065.47009 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	33	2004
Data-sparse approximation to a class of operator-valued functions. Zbl 1066.65060 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	33	2005
Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format. Zbl 1227.65113 Khoromskij, B. N.;Khoromskaia, V.;Flad, H.-J.	33	2011
Low rank Tucker-type tensor approximation to classical potentials. Zbl 1130.65060 Khoromskij, B. N.;Khoromskaia, V.	33	2007
A sparse \({\mathcal H}\)-matrix arithmetic: General complexity estimates. Zbl 0977.65036 Hackbusch, W.;Khoromskij, B. N.	32	2000
Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs. Zbl 1283.65039 Khoromskij, B. N.;Oseledets, I.	32	2010
Application of hierarchical matrices for computing the Karhunen-Loève expansion. Zbl 1162.65306 Khoromskij, B. N.;Litvinenko, A.;Matthies, H. G.	32	2009
Superfast Fourier transform using QTT approximation. Zbl 1260.65114 Dolgov, Sergey;Khoromskij, Boris;Savostyanov, Dmitry	30	2012
\(\mathcal H\)-matrix approximation for the operator exponential with applications. Zbl 1005.65113 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	30	2002
Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension. Zbl 1197.65216 Khoromskij, Boris N.	28	2010
QTT approximation of elliptic solution operators in higher dimensions. Zbl 1221.65288 Khoromskij, B. N.;Oseledets, I. V.	26	2011
Two-level QTT-Tucker format for optimized tensor calculus. Zbl 1273.65169 Dolgov, Sergey;Khoromskij, Boris	25	2013
Simultaneous state-time approximation of the chemical master equation using tensor product formats. Zbl 1363.65117 Dolgov, Sergey;Khoromskij, Boris	24	2015
Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators. Zbl 1087.65050 Hackbusch, W.;Khoromskij, B. N.	24	2006
Boundary concentrated finite element methods. Zbl 1050.65113 Khoromskij, B. N.;Melenk, J. M.	22	2003
Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252 Hackbusch, Wolfgang;Khoromskij, Boris N.;Sauter, Stefan;Tyrtyshnikov, Eugene E.	21	2012
Tensor numerical methods in quantum chemistry. Zbl 1503.65003 Khoromskaia, Venera;Khoromskij, Boris N.	21	2018
Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels. Zbl 1308.65213 Bertoglio, Cristóbal;Khoromskij, Boris N.	20	2012
Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282 Mantzaflaris, Angelos;Jüttler, Bert;Khoromskij, B. N.;Langer, Ulrich	20	2015
Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation. Zbl 1360.78016 Khoromskaia, Venera;Khoromskij, Boris N.	19	2014
Numerical solution of elliptic differential equations by reduction to the interface. Zbl 1043.65128 Khoromskij, Boris N.;Wittum, Gabriel	19	2004
Tensor-structured factorized calculation of two-electron integrals in a general basis. Zbl 1266.65069 Khoromskaia, V.;Khoromskij, B. N.;Schneider, R.	17	2013
Tensor decomposition in electronic structure calculations on 3D Cartesian grids. Zbl 1171.82017 Khoromskij, B. N.;Khoromskaia, V.;Chinnamsetty, S. R.;Flad, H.-J.	17	2009
Verification of the cross 3D algorithm on quantum chemistry data. Zbl 1147.81317 Flad, H.-J.;Khoromskii, B. N.;Savostyanov, D. V.;Tyrtyshnikov, E. E.	15	2008
Range-separated tensor format for many-particle modeling. Zbl 1446.65202 Benner, Peter;Khoromskaia, Venera;Khoromskij, Boris N.	14	2018
On tensor approximation of Green iterations for Kohn-Sham equations. Zbl 1522.65249 Khoromskij, Boris N.	12	2008
Fast and accurate 3D tensor calculation of the Fock operator in a general basis. Zbl 1302.81009 Khoromskaia, V.;Andrae, D.;Khoromskij, B. N.	11	2012
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. Zbl 1376.65045 Benner, Peter;Dolgov, Sergey;Khoromskaia, Venera;Khoromskij, Boris N.	10	2017
Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180 Benner, Peter;Khoromskaia, Venera;Khoromskij, Boris;Kweyu, Cleophas;Stein, Matthias	9	2021
Fast tensor method for summation of long-range potentials on 3D lattices with defects. Zbl 1413.65141 Khoromskaia, Venera;Khoromskij, Boris N.	9	2016
Towards \(\mathcal H\)-matrix approximation of linear complexity. Zbl 1004.65125 Hackbusch, Wolfgang;Khoromskij, Boris N.	9	2001
QTT representation of the Hartree and exchange operators in electronic structure calculations. Zbl 1283.65038 Khoromskaia, Venera;Khoromskij, Boris;Schneider, Reinhold	9	2011
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians. Zbl 1283.65036 Gavrilyuk, Ivan;Khoromskij, Boris	8	2011
Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse. Zbl 1453.65035 Khoromskij, Boris N.	8	2020
Numerical study in stochastic homogenization for elliptic partial differential equations: convergence rate in the size of representative volume elements. Zbl 1538.65110 Khoromskaia, Venera;Khoromskij, Boris N.;Otto, Felix	7	2020
Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069 Khoromskij, Boris;Repin, Sergey	7	2017
A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098 Khoromskij, Boris N.;Repin, Sergey I.	7	2015
Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints. Zbl 07508470 Heidel, Gennadij;Khoromskaia, Venera;Khoromskij, Boris N.;Schulz, Volker	7	2021
Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040 Khoromskij, Boris;Sauter, Stefan;Veit, Alexander	7	2011
Spectrally equivalent preconditioners for boundary equations in substructuring techniques. Zbl 0835.65131 Khoromskij, B. N.;Wendland, Wolfgang L.	6	1993
An efficient direct solver for the boundary concentrated FEM in 2D. Zbl 1017.65089 Khoromskij, B. N.;Melenk, J. M.	6	2002
Preconditioning for boundary element methods in domain decomposition. Zbl 0988.65115 Hsiao, G. C.;Khoromskij, B. N.;Wendland, W. L.	6	2001
\(\mathcal H\)-matrix approximation for elliptic solution operators in cylinder domains. Zbl 1012.65134 Gavrilyuk, I. P.;Hackbusch, W.;Khoromskij, B. N.	6	2001
Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084 Litvinenko, Alexander;Keyes, David;Khoromskaia, Venera;Khoromskij, Boris N.;Matthies, Hermann G.	6	2019
Tensor-product approximation to multidimensional integral operators and Green’s functions. Zbl 1171.65099 Hackbusch, Wolfgang;Khoromskij, Boris N.	6	2008
Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation. Zbl 1113.65040 Khoromskij, Boris N.	6	2007
Direct Schur complement method by domain decomposition based on \(H\)-matrix approximation. Zbl 1512.65292 Hackbusch, Wolfgang;Khoromskij, Boris N.;Kriemann, Ronald	6	2005
Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains. Zbl 0974.65111 Schmidt, Gunther;Khoromskij, Boris N.	5	1999
Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals. Zbl 1344.65035 Khoromskaia, V.;Khoromskij, B. N.	5	2014
Efficient computation of highly oscillatory integrals by using QTT tensor approximation. Zbl 1329.65088 Khoromskij, Boris;Veit, Alexander	4	2016
Superfast wavelet transform using quantics-TT approximation. I: Application to Haar wavelets. Zbl 1304.65139 Khoromskij, Boris N.;Miao, Sentao	4	2014
Robust interface reduction for highly anisotropic elliptic equations. Zbl 0926.65131 Khoromskij, Boris N.;Wittum, Gabriel	4	1998
Concepts of data-sparse tensor-product approximation in many-particle modelling. Zbl 1214.81077 Flad, Heinz-Jürgen;Hackbusch, Wolfgang;Khoromskij, Boris N.;Schneider, Reinhold	4	2010
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020	4	2019
Data sparse computation of the Karhunen-Loève expansion. Zbl 1167.65326 Khoromskij, B. N.;Litvinenko, A.	4	2008
Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients. Zbl 1484.65326 Dolgov, Sergey V.;Kazeev, Vladimir A.;Khoromskij, Boris N.	4	2018
Data-sparse elliptic operator inverse based on explicit approximation to the Green function. Zbl 1115.65376 Khoromskij, B. N.	3	2003
Low-rank tensor structure of solutions to elliptic problems with jumping coefficients. Zbl 1265.35053 Dolgov, Sergey;Khoromskij, Boris N.;Oseledets, Ivan;Tyrtyshnikov, Eugene E.	3	2012
On fast computations with the inverse to harmonic potential operators via domain decomposition. Zbl 0854.65107 Khoromskij, Boris N.	3	1996
Multilevel preconditioning on the refined interface and optimal boundary solvers for the Laplace equation. Zbl 0839.65129 Khoromskij, Boris N.;Prößdorf, Siegfried	3	1995
Tensor method for optimal control problems constrained by fractional three-dimensional elliptic operator with variable coefficients. Zbl 07511585 Schmitt, Britta;Khoromskij, Boris N.;Khoromskaia, Venera;Schulz, Volker	3	2022
Direct Schur complement method by hierarchical matrix techniques. Zbl 1066.65143 Hackbusch, Wolfgang;Khoromskij, Boris N.;Kriemann, Ronald	3	2005
Frequency filtering for elliptic interface problems with Lagrange multipliers. Zbl 0943.65076 Khoromskij, B. N.;Mazurkevich, G. E.;Wittum, G.	3	1999
Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation. Zbl 1420.65056 Gavrilyuk, Ivan;Khoromskij, Boris N.	3	2019
A structured low-rank wavelet solver for the Ornstein-Zernike integral equation. Zbl 1117.65170 Fedorov, M. V.;Flad, H.-J.;Chuev, G. N.;Grasedyck, L.;Khoromskij, B. N.	3	2007
Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach. Zbl 1380.65355 Khoromskaia, Venera;Khoromskij, Boris N.	2	2017
Hierarchical matrix approximation to Green’s function via boundary concentrated FEM. Zbl 1047.65103 Khoromskij, B. N.	2	2003
Asymptotically optimal interface solvers for the biharmonic Dirichlet problem on convex polygonal domains. Zbl 0900.65319 Khoromskij, B. N.;Schmidt, G.	2	1996
A fast interface solver for the biharmonic Dirichlet problem on polygonal domains. Zbl 0899.65066 Khoromskij, B. N.;Schmidt, G.	2	1998
Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems. Zbl 1469.82010 Khoromskaia, V.;Khoromskij, B. N.	2	2021
A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients. Zbl 1247.65044 Dolgov, Sergey;Khoromskij, Boris N.;Oseledets, Ivan;Tyrtyshnikov, Eugene	2	2012
An integro-difference method for solving the Dirichlet problem for the Laplace equation. Zbl 0538.65083 Khoromskij, B. N.	2	1984
Fast solution of three-dimensional elliptic equations with randomly generated jumping coefficients by using tensor-structured preconditioners. Zbl 07729590 Khoromskij, Boris N.;Khoromskaia, Venera	2	2023
Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures. Zbl 0857.65033 Khoromskij, B. N.;Wittum, G.	1	1996
Domain decomposition method for magnetostatics nonlinear problems in combined formulation. Zbl 0816.65118 Khoromsky, B. N.;Mazurkevich, G. E.;Zhidkov, E. P.	1	1990
Preconditioners for one class of elliptic problems in not simply connected domains. Zbl 0770.65086 Khoromskij, B. N.;Mazurkevich, G. E.	1	1992
Blended kernel approximation in the \({\mathcal {H}}\)-matrix techniques. Zbl 1071.65553 Hackbusch, W.;Khoromskij, B. N.	1	2002
An asymptotically optimal Schur complement reduction for the Stokes equation. Zbl 0947.76054 Khoromskij, Boris N.;Wittum, Gabriel	1	1999
Fast solution of three-dimensional elliptic equations with randomly generated jumping coefficients by using tensor-structured preconditioners. Zbl 07729590 Khoromskij, Boris N.;Khoromskaia, Venera	2	2023
Tensor method for optimal control problems constrained by fractional three-dimensional elliptic operator with variable coefficients. Zbl 07511585 Schmitt, Britta;Khoromskij, Boris N.;Khoromskaia, Venera;Schulz, Volker	3	2022
Regularization of Poisson-Boltzmann-type equations with singular source terms using the range-separated tensor format. Zbl 1466.65180 Benner, Peter;Khoromskaia, Venera;Khoromskij, Boris;Kweyu, Cleophas;Stein, Matthias	9	2021
Tensor product method for fast solution of optimal control problems with fractional multidimensional Laplacian in constraints. Zbl 07508470 Heidel, Gennadij;Khoromskaia, Venera;Khoromskij, Boris N.;Schulz, Volker	7	2021
Prospects of tensor-based numerical modeling of the collective electrostatics in many-particle systems. Zbl 1469.82010 Khoromskaia, V.;Khoromskij, B. N.	2	2021
Range-separated tensor decomposition of the discretized Dirac delta and elliptic operator inverse. Zbl 1453.65035 Khoromskij, Boris N.	8	2020
Numerical study in stochastic homogenization for elliptic partial differential equations: convergence rate in the size of representative volume elements. Zbl 1538.65110 Khoromskaia, Venera;Khoromskij, Boris N.;Otto, Felix	7	2020
Tucker tensor analysis of Matérn functions in spatial statistics. Zbl 1420.60084 Litvinenko, Alexander;Keyes, David;Khoromskaia, Venera;Khoromskij, Boris N.;Matthies, Hermann G.	6	2019
Editorial. Tensor numerical methods: actual theory and recent applications. Zbl 1422.00020	4	2019
Quasi-optimal rank-structured approximation to multidimensional parabolic problems by Cayley transform and Chebyshev interpolation. Zbl 1420.65056 Gavrilyuk, Ivan;Khoromskij, Boris N.	3	2019
Computing the density of states for optical spectra of molecules by low-rank and QTT tensor approximation. Zbl 1451.65054 Benner, Peter;Khoromskaia, Venera;Khoromskij, Boris N.;Yang, Chao	1	2019
Tensor numerical methods in scientific computing. Zbl 1405.65002 Khoromskij, Boris N.	53	2018
Tensor numerical methods in quantum chemistry. Zbl 1503.65003 Khoromskaia, Venera;Khoromskij, Boris N.	21	2018
Range-separated tensor format for many-particle modeling. Zbl 1446.65202 Benner, Peter;Khoromskaia, Venera;Khoromskij, Boris N.	14	2018
Direct tensor-product solution of one-dimensional elliptic equations with parameter-dependent coefficients. Zbl 1484.65326 Dolgov, Sergey V.;Kazeev, Vladimir A.;Khoromskij, Boris N.	4	2018
Low rank tensor methods in Galerkin-based isogeometric analysis. Zbl 1439.65185 Mantzaflaris, Angelos;Jüttler, Bert;Khoromskij, Boris N.;Langer, Ulrich	47	2017
Fast iterative solution of the Bethe-Salpeter eigenvalue problem using low-rank and QTT tensor approximation. Zbl 1376.65045 Benner, Peter;Dolgov, Sergey;Khoromskaia, Venera;Khoromskij, Boris N.	10	2017
Rank structured approximation method for quasi-periodic elliptic problems. Zbl 1380.65069 Khoromskij, Boris;Repin, Sergey	7	2017
Block circulant and Toeplitz structures in the linearized Hartree-Fock equation on finite lattices: tensor approach. Zbl 1380.65355 Khoromskaia, Venera;Khoromskij, Boris N.	2	2017
Fast tensor method for summation of long-range potentials on 3D lattices with defects. Zbl 1413.65141 Khoromskaia, Venera;Khoromskij, Boris N.	9	2016
Efficient computation of highly oscillatory integrals by using QTT tensor approximation. Zbl 1329.65088 Khoromskij, Boris;Veit, Alexander	4	2016
Polynomial chaos expansion of random coefficients and the solution of stochastic partial differential equations in the tensor train format. Zbl 1329.65271 Dolgov, Sergey;Khoromskij, Boris N.;Litvinenko, Alexander;Matthies, Hermann G.	42	2015
Tensor numerical methods for multidimensional PDEs: theoretical analysis and initial applications. Zbl 1382.65461 Khoromskij, Boris N.	38	2015
Simultaneous state-time approximation of the chemical master equation using tensor product formats. Zbl 1363.65117 Dolgov, Sergey;Khoromskij, Boris	24	2015
Matrix generation in isogeometric analysis by low rank tensor approximation. Zbl 1360.65282 Mantzaflaris, Angelos;Jüttler, Bert;Khoromskij, B. N.;Langer, Ulrich	20	2015
A fast iteration method for solving elliptic problems with quasiperiodic coefficients. Zbl 1328.65098 Khoromskij, Boris N.;Repin, Sergey I.	7	2015
Computation of extreme eigenvalues in higher dimensions using block tensor train format. Zbl 1344.65043 Dolgov, S. V.;Khoromskij, B. N.;Oseledets, I. V.;Savostyanov, D. V.	35	2014
Grid-based lattice summation of electrostatic potentials by assembled rank-structured tensor approximation. Zbl 1360.78016 Khoromskaia, Venera;Khoromskij, Boris N.	19	2014
Møller-Plesset (MP2) energy correction using tensor factorization of the grid-based two-electron integrals. Zbl 1344.65035 Khoromskaia, V.;Khoromskij, B. N.	5	2014
Superfast wavelet transform using quantics-TT approximation. I: Application to Haar wavelets. Zbl 1304.65139 Khoromskij, Boris N.;Miao, Sentao	4	2014
Multilevel Toeplitz matrices generated by tensor-structured vectors and convolution with logarithmic complexity. Zbl 1275.15018 Kazeev, Vladimir A.;Khoromskij, Boris N.;Tyrtyshnikov, Eugene E.	35	2013
Two-level QTT-Tucker format for optimized tensor calculus. Zbl 1273.65169 Dolgov, Sergey;Khoromskij, Boris	25	2013
Tensor-structured factorized calculation of two-electron integrals in a general basis. Zbl 1266.65069 Khoromskaia, V.;Khoromskij, B. N.;Schneider, R.	17	2013
Fast solution of parabolic problems in the tensor train/quantized tensor train format with initial application to the Fokker-Planck equation. Zbl 1259.82075 Dolgov, S. V.;Khoromskij, B. N.;Oseledets, I. V.	53	2012
Low-rank explicit QTT representation of the Laplace operator and its inverse. Zbl 1268.15025 Kazeev, Vladimir A.;Khoromskij, Boris N.	47	2012
Superfast Fourier transform using QTT approximation. Zbl 1260.65114 Dolgov, Sergey;Khoromskij, Boris;Savostyanov, Dmitry	30	2012
Use of tensor formats in elliptic eigenvalue problems. Zbl 1274.35252 Hackbusch, Wolfgang;Khoromskij, Boris N.;Sauter, Stefan;Tyrtyshnikov, Eugene E.	21	2012
Low-rank quadrature-based tensor approximation of the Galerkin projected Newton/Yukawa kernels. Zbl 1308.65213 Bertoglio, Cristóbal;Khoromskij, Boris N.	20	2012
Fast and accurate 3D tensor calculation of the Fock operator in a general basis. Zbl 1302.81009 Khoromskaia, V.;Andrae, D.;Khoromskij, B. N.	11	2012
Low-rank tensor structure of solutions to elliptic problems with jumping coefficients. Zbl 1265.35053 Dolgov, Sergey;Khoromskij, Boris N.;Oseledets, Ivan;Tyrtyshnikov, Eugene E.	3	2012
A reciprocal preconditioner for structured matrices arising from elliptic problems with jumping coefficients. Zbl 1247.65044 Dolgov, Sergey;Khoromskij, Boris N.;Oseledets, Ivan;Tyrtyshnikov, Eugene	2	2012
\(O(d \log N)\)-quantics approximation of \(N\)-\(d\) tensors in high-dimensional numerical modeling. Zbl 1228.65069 Khoromskij, Boris N.	105	2011
Tensor-structured Galerkin approximation of parametric and stochastic elliptic PDEs. Zbl 1243.65009 Khoromskij, Boris N.;Schwab, Christoph	91	2011
Numerical solution of the Hartree-Fock equation in multilevel tensor-structured format. Zbl 1227.65113 Khoromskij, B. N.;Khoromskaia, V.;Flad, H.-J.	33	2011
QTT approximation of elliptic solution operators in higher dimensions. Zbl 1221.65288 Khoromskij, B. N.;Oseledets, I. V.	26	2011
QTT representation of the Hartree and exchange operators in electronic structure calculations. Zbl 1283.65038 Khoromskaia, Venera;Khoromskij, Boris;Schneider, Reinhold	9	2011
Quantized-TT-Cayley transform for computing the dynamics and the spectrum of high-dimensional Hamiltonians. Zbl 1283.65036 Gavrilyuk, Ivan;Khoromskij, Boris	8	2011
Fast quadrature techniques for retarded potentials based on TT/QTT tensor approximation. Zbl 1283.65040 Khoromskij, Boris;Sauter, Stefan;Veit, Alexander	7	2011
Quantics-TT collocation approximation of parameter-dependent and stochastic elliptic PDEs. Zbl 1283.65039 Khoromskij, B. N.;Oseledets, I.	32	2010
Fast and accurate tensor approximation of a multivariate convolution with linear scaling in dimension. Zbl 1197.65216 Khoromskij, Boris N.	28	2010
Concepts of data-sparse tensor-product approximation in many-particle modelling. Zbl 1214.81077 Flad, Heinz-Jürgen;Hackbusch, Wolfgang;Khoromskij, Boris N.;Schneider, Reinhold	4	2010
Multigrid accelerated tensor approximation of function related multidimensional arrays. Zbl 1197.65215 Khoromskij, B. N.;Khoromskaia, V.	58	2009
Tensor-structured preconditioners and approximate inverse of elliptic operators in \(\mathbb R^{d}\). Zbl 1185.65051 Khoromskij, Boris N.	36	2009
Application of hierarchical matrices for computing the Karhunen-Loève expansion. Zbl 1162.65306 Khoromskij, B. N.;Litvinenko, A.;Matthies, H. G.	32	2009
Tensor decomposition in electronic structure calculations on 3D Cartesian grids. Zbl 1171.82017 Khoromskij, B. N.;Khoromskaia, V.;Chinnamsetty, S. R.;Flad, H.-J.	17	2009
Approximate iterations for structured matrices. Zbl 1144.65029 Hackbusch, Wolfgang;Khoromskij, Boris N.;Tyrtyshnikov, Eugene E.	49	2008
Verification of the cross 3D algorithm on quantum chemistry data. Zbl 1147.81317 Flad, H.-J.;Khoromskii, B. N.;Savostyanov, D. V.;Tyrtyshnikov, E. E.	15	2008
On tensor approximation of Green iterations for Kohn-Sham equations. Zbl 1522.65249 Khoromskij, Boris N.	12	2008
Tensor-product approximation to multidimensional integral operators and Green’s functions. Zbl 1171.65099 Hackbusch, Wolfgang;Khoromskij, Boris N.	6	2008
Data sparse computation of the Karhunen-Loève expansion. Zbl 1167.65326 Khoromskij, B. N.;Litvinenko, A.	4	2008
Domain decomposition based \(\mathcal{H}\)-matrix preconditioners for the skin prolem. Zbl 1140.65370 Khoromskij, Boris N.;Litvinenko, Alexander	1	2008
Tensor-product approximation to operators and functions in high dimensions. Zbl 1141.65032 Hackbusch, Wolfgang;Khoromskij, Boris N.	36	2007
Low rank Tucker-type tensor approximation to classical potentials. Zbl 1130.65060 Khoromskij, B. N.;Khoromskaia, V.	33	2007
Structured data-sparse approximation to high order tensors arising from the deterministic Boltzmann equation. Zbl 1113.65040 Khoromskij, Boris N.	6	2007
A structured low-rank wavelet solver for the Ornstein-Zernike integral equation. Zbl 1117.65170 Fedorov, M. V.;Flad, H.-J.;Chuev, G. N.;Grasedyck, L.;Khoromskij, B. N.	3	2007
Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators I. Separable approximation of multi-variate functions. Zbl 1087.65049 Hackbusch, W.;Khoromskij, B. N.	62	2006
Structured rank-\((r_1, \dots , r_d)\) decomposition of function-related tensors in \(\mathbb R^d\). Zbl 1120.65052 Khoromskij, B. N.	39	2006
Low-rank Kronecker-product approximation to multi-dimensional nonlocal operators II. HKT representation of certain operators. Zbl 1087.65050 Hackbusch, W.;Khoromskij, B. N.	24	2006
Hierarchical tensor-product approximation to the inverse and related operators for high-dimensional elliptic problems. Zbl 1071.65032 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	54	2005
Hierarchical Kronecker tensor-product approximations. Zbl 1081.65035 Hackbusch, W.;Khoromskij, B. N.;Tyrtyshnikov, E. E.	54	2005
Data-sparse approximation to a class of operator-valued functions. Zbl 1066.65060 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	33	2005
Direct Schur complement method by domain decomposition based on \(H\)-matrix approximation. Zbl 1512.65292 Hackbusch, Wolfgang;Khoromskij, Boris N.;Kriemann, Ronald	6	2005
Direct Schur complement method by hierarchical matrix techniques. Zbl 1066.65143 Hackbusch, Wolfgang;Khoromskij, Boris N.;Kriemann, Ronald	3	2005
Hierarchical matrices based on a weak admissibility criterion. Zbl 1063.65035 Hackbusch, W.;Khoromskij, B. N.;Kriemann, R.	50	2004
Data-sparse approximation to the operator-valued functions of elliptic operator. Zbl 1065.47009 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	33	2004
Numerical solution of elliptic differential equations by reduction to the interface. Zbl 1043.65128 Khoromskij, Boris N.;Wittum, Gabriel	19	2004
Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices. Zbl 1239.65026 Grasedyck, Lars;Hackbusch, Wolfgang;Khoromskij, B. N.	52	2003
Boundary concentrated finite element methods. Zbl 1050.65113 Khoromskij, B. N.;Melenk, J. M.	22	2003
Data-sparse elliptic operator inverse based on explicit approximation to the Green function. Zbl 1115.65376 Khoromskij, B. N.	3	2003
Hierarchical matrix approximation to Green’s function via boundary concentrated FEM. Zbl 1047.65103 Khoromskij, B. N.	2	2003
\(\mathcal H\)-matrix approximation for the operator exponential with applications. Zbl 1005.65113 Gavrilyuk, Ivan P.;Hackbusch, Wolfgang;Khoromskij, Boris N.	30	2002
An efficient direct solver for the boundary concentrated FEM in 2D. Zbl 1017.65089 Khoromskij, B. N.;Melenk, J. M.	6	2002
Blended kernel approximation in the \({\mathcal {H}}\)-matrix techniques. Zbl 1071.65553 Hackbusch, W.;Khoromskij, B. N.	1	2002
Towards \(\mathcal H\)-matrix approximation of linear complexity. Zbl 1004.65125 Hackbusch, Wolfgang;Khoromskij, Boris N.	9	2001
Preconditioning for boundary element methods in domain decomposition. Zbl 0988.65115 Hsiao, G. C.;Khoromskij, B. N.;Wendland, W. L.	6	2001
\(\mathcal H\)-matrix approximation for elliptic solution operators in cylinder domains. Zbl 1012.65134 Gavrilyuk, I. P.;Hackbusch, W.;Khoromskij, B. N.	6	2001
A sparse \({\mathcal H}\)-matrix arithmetic. II: Application to multi-dimensional problems. Zbl 0962.65029 Hackbusch, W.;Khoromskij, B. N.	149	2000
On \({\mathcal H}^2\)-matrices. Zbl 0963.65043 Hackbusch, W.;Khoromskij, B.;Sauter, S. A.	76	2000
A sparse \({\mathcal H}\)-matrix arithmetic: General complexity estimates. Zbl 0977.65036 Hackbusch, W.;Khoromskij, B. N.	32	2000
\(\mathcal H\)-matrix approximation on graded meshes. Zbl 0960.65047 Hackbusch, Wolfgang;Khoronskij, Boris N.	1	2000
Boundary integral equations for the biharmonic Dirichlet problem on nonsmooth domains. Zbl 0974.65111 Schmidt, Gunther;Khoromskij, Boris N.	5	1999
Frequency filtering for elliptic interface problems with Lagrange multipliers. Zbl 0943.65076 Khoromskij, B. N.;Mazurkevich, G. E.;Wittum, G.	3	1999
An asymptotically optimal Schur complement reduction for the Stokes equation. Zbl 0947.76054 Khoromskij, Boris N.;Wittum, Gabriel	1	1999
Robust Schur complement method for strongly anisotropic elliptic equations. Zbl 0982.65133 Khoromskij, Boris N.;Wittum, Gabriel	1	1999
Robust interface reduction for highly anisotropic elliptic equations. Zbl 0926.65131 Khoromskij, Boris N.;Wittum, Gabriel	4	1998
A fast interface solver for the biharmonic Dirichlet problem on polygonal domains. Zbl 0899.65066 Khoromskij, B. N.;Schmidt, G.	2	1998
On a sparse finite element approximation to the Poincaré-Steklov operators of planar elasticity. Zbl 0914.73061 Khoromskij, B. N.	1	1998
On fast computations with the inverse to harmonic potential operators via domain decomposition. Zbl 0854.65107 Khoromskij, Boris N.	3	1996
Asymptotically optimal interface solvers for the biharmonic Dirichlet problem on convex polygonal domains. Zbl 0900.65319 Khoromskij, B. N.;Schmidt, G.	2	1996
Robust iterative methods for elliptic problems with highly varying coefficients in thin substructures. Zbl 0857.65033 Khoromskij, B. N.;Wittum, G.	1	1996
...and 5 more Documents

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Cited by 1,292 Authors

57	Khoromskiĭ, Boris Nikolaevich
37	Hackbusch, Wolfgang
28	Kressner, Daniel
27	Oseledets, Ivan Valer’evich
25	Dolgov, Sergey V.
23	Benner, Peter
22	Börm, Steffen
20	Khoromskaia, Venera
19	Tyrtyshnikov, Evgeniĭ Evgen’evich
17	Bebendorf, Mario
17	Matthies, Hermann Georg
16	Grasedyck, Lars
15	Harbrecht, Helmut
15	Ying, Lexing
14	Schneider, Reinhold
13	Litvinenko, Alexander
13	Schwab, Christoph
12	Darve, Eric
12	Gavrilyuk, Ivan P.
12	Melenk, Jens Markus
12	Rakhuba, Maxim V.
12	Savostyanov, Dmitry V.
12	Simoncini, Valeria
11	Bachmayr, Markus
11	Schmidt, Gunther
10	Jüttler, Bert
10	Lanzara, Flavia
10	Nouy, Anthony
10	Uschmajew, André
10	Xia, Jianlin
9	Makarov, Volodymyr Leonidovych
9	Tani, Mattia
8	Chow, Edmond
8	Espig, Mike
8	Maz’ya, Vladimir Gilelevich
8	Multerer, Michael D.
8	Sangalli, Giancarlo
8	Xi, Yuanzhe
7	Ehrlacher, Virginie
7	Ho, Kenneth L.
7	Kazeev, Vladimir A.
7	Keyes, David Elliot
7	Li, Xiaoye Sherry
7	Martinsson, Per-Gunnar
7	Massei, Stefano
7	Robol, Leonardo
7	Sauter, Stefan
7	Venturi, Daniele
6	Ambikasaran, Sivaram
6	Ballani, Jonas
6	Eigel, Martin
6	Faustmann, Markus
6	Ghysels, Pieter
6	Lin, Lin
6	Lombardi, Damiano
6	Mantzaflaris, Angelos
6	Zamarashkin, Nikolai L.
5	Dahmen, Wolfgang
5	De Lathauwer, Lieven
5	Dektor, Alec
5	Dölz, Jürgen
5	Doostan, Alireza
5	Huang, Jingfang
5	Rosić, Bojana V.
5	Saad, Yousef
5	Schulz, Volker H.
5	Stoll, Martin
5	Vabishchevich, Pëtr Nikolaevich
5	Vandereycken, Bart
5	Xing, Xin
5	Yang, Chao
4	Ferri Aliabadi, Mohammad Hossien
4	Baur, Ulrike
4	Benedetti, Ivano
4	Cai, Difeng
4	Cichocki, Andrzej
4	de Hoop, Maarten V.
4	Flad, Heinz-Jürgen
4	Gelß, Patrick
4	Greengard, Leslie F.
4	Kriemann, Ronald
4	Kweyu, Cleophas M.
4	Langer, Ulrich
4	Lee, Namgil
4	Li, Shengguo
4	Mach, Thomas
4	Matveev, Sergey A.
4	Palitta, Davide
4	Pan, Maodong
4	Pfeffer, Max
4	Praetorius, Dirk
4	Rodgers, Abram
4	Rouet, François-Henry
4	Scheichl, Robert
4	Schneider, Jan
4	Stein, Matthias
4	Tempone, Raúl F.
4	Tobler, Christine
4	Veit, Alexander
4	Wachsmuth, Daniel
...and 1,192 more Authors

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Cited in 152 Serials

78	SIAM Journal on Scientific Computing
67	Numerical Linear Algebra with Applications
66	Journal of Computational Physics
64	Computer Methods in Applied Mechanics and Engineering
36	SIAM Journal on Matrix Analysis and Applications
35	Numerische Mathematik
29	Journal of Computational and Applied Mathematics
22	Journal of Scientific Computing
20	Computing
20	Computing and Visualization in Science
19	Advances in Computational Mathematics
18	Linear Algebra and its Applications
17	Mathematics of Computation
17	Computational Methods in Applied Mathematics
16	Engineering Analysis with Boundary Elements
15	Computers & Mathematics with Applications
15	International Journal for Numerical Methods in Engineering
15	Applied Numerical Mathematics
15	SIAM/ASA Journal on Uncertainty Quantification
14	Applied Mathematics and Computation
12	Computer Physics Communications
9	Computational Mathematics and Mathematical Physics
9	Multiscale Modeling & Simulation
8	SIAM Journal on Numerical Analysis
8	Constructive Approximation
8	Computational Mechanics
8	Numerical Algorithms
8	Foundations of Computational Mathematics
7	BIT
6	ETNA. Electronic Transactions on Numerical Analysis
5	ACM Transactions on Mathematical Software
5	SIAM Review
5	European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
4	Linear and Multilinear Algebra
4	Ukrainian Mathematical Journal
4	Mathematics and Computers in Simulation
4	Numerical Methods for Partial Differential Equations
4	Applied Mathematics Letters
4	Computational and Applied Mathematics
4	Vietnam Journal of Mathematics
4	Acta Numerica
4	GAMM-Mitteilungen
4	Communications in Computational Physics
3	Communications on Pure and Applied Mathematics
3	Numerical Functional Analysis and Optimization
3	SIAM Journal on Control and Optimization
3	Computer Aided Geometric Design
3	Journal of Complexity
3	Journal of Integral Equations and Applications
3	Multidimensional Systems and Signal Processing
3	Computational Optimization and Applications
3	Applied and Computational Harmonic Analysis
3	Journal of Mathematical Sciences (New York)
3	Doklady Mathematics
3	Communications in Nonlinear Science and Numerical Simulation
3	Journal of Numerical Mathematics
3	Mathematics
3	Research in the Mathematical Sciences
2	Computers and Fluids
2	Inverse Problems
2	Mathematical Methods in the Applied Sciences
2	Calcolo
2	Systems & Control Letters
2	Zeitschrift für Analysis und ihre Anwendungen
2	Physica D
2	COMPEL
2	Applications of Mathematics
2	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
2	Celestial Mechanics and Dynamical Astronomy
2	SIAM Journal on Optimization
2	St. Petersburg Mathematical Journal
2	The Journal of Fourier Analysis and Applications
2	European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations
2	ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
2	Archives of Computational Methods in Engineering
2	Oberwolfach Reports
2	Communications in Applied Mathematics and Computational Science
2	PAMM. Proceedings in Applied Mathematics and Mechanics
2	GEM - International Journal on Geomathematics
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2	Statistics and Computing
2	European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
2	Bollettino dell’Unione Matematica Italiana
2	SciPost Physics
1	Applicable Analysis
1	International Journal of Control
1	International Journal of Solids and Structures
1	Journal of Mathematical Biology
1	Journal of Mathematical Physics
1	Journal of Statistical Physics
1	Mathematical Biosciences
1	Nonlinearity
1	Wave Motion
1	Archiv der Mathematik
1	Automatica
1	Fuzzy Sets and Systems
1	Journal of Approximation Theory
1	Mathematika
1	Results in Mathematics
1	Studies in Applied Mathematics
...and 52 more Serials

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Cited in 43 Fields

799	Numerical analysis (65-XX)
260	Linear and multilinear algebra; matrix theory (15-XX)
227	Partial differential equations (35-XX)
64	Probability theory and stochastic processes (60-XX)
61	Approximations and expansions (41-XX)
60	Mechanics of deformable solids (74-XX)
47	Computer science (68-XX)
45	Calculus of variations and optimal control; optimization (49-XX)
43	Fluid mechanics (76-XX)
32	Integral equations (45-XX)
32	Statistics (62-XX)
31	Optics, electromagnetic theory (78-XX)
30	Systems theory; control (93-XX)
26	Statistical mechanics, structure of matter (82-XX)
25	Operator theory (47-XX)
24	Quantum theory (81-XX)
22	Operations research, mathematical programming (90-XX)
16	Biology and other natural sciences (92-XX)
13	Functional analysis (46-XX)
11	Harmonic analysis on Euclidean spaces (42-XX)
10	Real functions (26-XX)
10	Ordinary differential equations (34-XX)
10	Integral transforms, operational calculus (44-XX)
10	Information and communication theory, circuits (94-XX)
7	Differential geometry (53-XX)
6	Special functions (33-XX)
6	Dynamical systems and ergodic theory (37-XX)
6	Global analysis, analysis on manifolds (58-XX)
6	Classical thermodynamics, heat transfer (80-XX)
5	General and overarching topics; collections (00-XX)
5	Mechanics of particles and systems (70-XX)
5	Geophysics (86-XX)
4	Combinatorics (05-XX)
3	Functions of a complex variable (30-XX)
3	Potential theory (31-XX)
3	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2	Manifolds and cell complexes (57-XX)
1	History and biography (01-XX)
1	Mathematical logic and foundations (03-XX)
1	Number theory (11-XX)
1	Algebraic geometry (14-XX)
1	Several complex variables and analytic spaces (32-XX)
1	Astronomy and astrophysics (85-XX)

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Cited in 152 Serials

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