-
1
-
-
5844381624
-
Approximation of boundary element matrices
-
M. Bebendorf, Approximation of boundary element matrices. Numer. Math. (2000) 86, 565-589.
-
(2000)
Numer. Math.
, vol.86
, pp. 565-589
-
-
Bebendorf, M.1
-
3
-
-
0036679114
-
Numerical operator calculus in higher dimensions
-
G. Beylkin and M. M. Mohlenkamp, Numerical operator calculus in higher dimensions. Proc. Natl. Acad. Sci. USA (2002) 99, 10246-10251.
-
(2002)
Proc. Natl. Acad. Sci. USA
, vol.99
, pp. 10246-10251
-
-
Beylkin, G.1
Mohlenkamp, M.M.2
-
4
-
-
21244487234
-
-
Preprint No. 5, Max-Planck-Institut für Mathematik, Leipzig
-
2-matrices. Preprint No. 5, Max-Planck-Institut für Mathematik, Leipzig, 2003.
-
(2003)
2-matrices
-
-
Börm, S.1
Hackbusch, W.2
-
5
-
-
0026413037
-
Multilevel computations of integral transforms and particle interactions with oscillatory kernels
-
A. Brandt, Multilevel computations of integral transforms and particle interactions with oscillatory kernels. Comp. Phys. Comm. (1991) 65, 24-38.
-
(1991)
Comp. Phys. Comm.
, vol.65
, pp. 24-38
-
-
Brandt, A.1
-
7
-
-
2942606241
-
Combining Kronecker product approximation with discrete wavelet transforms to solve dense, function-related systems
-
J.M. Ford and E. E. Tyrtyshnikov, Combining Kronecker product approximation with discrete wavelet transforms to solve dense, function-related systems. SIAM J. Sci. Comp. (2003) 25, No. 3, 961-981.
-
(2003)
SIAM J. Sci. Comp.
, vol.25
, Issue.3
, pp. 961-981
-
-
Ford, J.M.1
Tyrtyshnikov, E.E.2
-
8
-
-
0036022621
-
ℋ-Matrix approximation for the operator exponential with applications
-
I. P. Gavrilyuk, W. Hackbusch, and B. N. Khoromskij, ℋ-Matrix approximation for the operator exponential with applications. Numer. Math. (2002) 92, 83-111.
-
(2002)
Numer. Math.
, vol.92
, pp. 83-111
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
9
-
-
0034936175
-
ℋ-Matrix approximation for elliptic solution operators in cylinder domains
-
I. P. Gavrilyuk, W. Hackbusch, and B. N. Khoromskij, ℋ-Matrix approximation for elliptic solution operators in cylinder domains. East-West J. Numer. Math. (2001) 9, No. 1, 25-59.
-
(2001)
East-West J. Numer. Math.
, vol.9
, Issue.1
, pp. 25-59
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
10
-
-
2942644816
-
Data-sparse approximation to operator-valued functions of elliptic operators
-
I. P. Gavrilyuk, W. Hackbusch, and B. N. Khoromskij, Data-sparse approximation to operator-valued functions of elliptic operators. Math. Comp. (2004) 73, No. 247, 1297-1324.
-
(2004)
Math. Comp.
, vol.73
, Issue.247
, pp. 1297-1324
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
11
-
-
14944359407
-
Data-sparse approximation to a class of operator-valued functions
-
I. P. Gavrilyuk, W. Hackbusch, and B. N. Khoromskij, Data-sparse approximation to a class of operator-valued functions. Math. Comp. (2005) 74, 681-708.
-
(2005)
Math. Comp.
, vol.74
, pp. 681-708
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
12
-
-
85025268533
-
-
Preprint No. 83, Max-Planck-Institut Mathematik in den Naturwissenschaften, Leipzig
-
I. P. Gavrilyuk, W. Hackbusch, and B. N. Khoromskij, Tensor-Product Approximation to Elliptic and Parabolic Solution Operators in Higher Dimensions. Preprint No. 83, Max-Planck-Institut Mathematik in den Naturwissenschaften, Leipzig, 2003.
-
(2003)
Tensor-product Approximation to Elliptic and Parabolic Solution Operators in Higher Dimensions
-
-
Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
-
13
-
-
0037790752
-
The maximal-volume concept in approximation by low-rank matrices
-
S. A. Goreinov, E. E. Tyrtyshnikov, The maximal-volume concept in approximation by low-rank matrices. Contemporary Mathematics (2001) 208, 47-51.
-
(2001)
Contemporary Mathematics
, vol.208
, pp. 47-51
-
-
Goreinov, S.A.1
Tyrtyshnikov, E.E.2
-
16
-
-
3042756404
-
Existence and computation of a low Kronecker-rank approximant to the solution of a tensor system with tensor right-hand side
-
L. Grasedyck, Existence and computation of a low Kronecker-rank approximant to the solution of a tensor system with tensor right-hand side. Computing (2004) 72, 247-265.
-
(2004)
Computing
, vol.72
, pp. 247-265
-
-
Grasedyck, L.1
-
17
-
-
0141829814
-
Construction and arithmetics of ℋ-matrices
-
L. Grasedyck and W. Hackbusch, Construction and arithmetics of ℋ-matrices. Computing (2003) 70, 295-334.
-
(2003)
Computing
, vol.70
, pp. 295-334
-
-
Grasedyck, L.1
Hackbusch, W.2
-
18
-
-
0032637646
-
A sparse matrix arithmetic based on ℋ-matrices. I. Introduction to ℋ-matrices
-
W. Hackbusch, A sparse matrix arithmetic based on ℋ-matrices. I. Introduction to ℋ-matrices. Computing (1999) 62, 89-108.
-
(1999)
Computing
, vol.62
, pp. 89-108
-
-
Hackbusch, W.1
-
19
-
-
0002133258
-
A sparse ℋ-matrix arithmetic. II. Application to multi-dimensional problems
-
W. Hackbusch and B. N. Khoromskij, A sparse ℋ-matrix arithmetic. II. Application to multi-dimensional problems. Computing (2000) 64, 21-47.
-
(2000)
Computing
, vol.64
, pp. 21-47
-
-
Hackbusch, W.1
Khoromskij, B.N.2
-
20
-
-
0034509772
-
A sparse ℋ-matrix arithmetic: General complexity estimates
-
W. Hackbusch and B. N. Khoromskij, A sparse ℋ-matrix arithmetic: General complexity estimates. J. Comp. Appl. Math. (2000) 125, 479-501.
-
(2000)
J. Comp. Appl. Math.
, vol.125
, pp. 479-501
-
-
Hackbusch, W.1
Khoromskij, B.N.2
-
21
-
-
0013004192
-
Towards ℋ-matrix approximation of the linear complexity
-
Birkhäuser Verlag
-
W.Hackbusch and B.N.Khoromskij, Towards ℋ-matrix approximation of the linear complexity. In: Operator Theory: Advances and Applications, Birkhäuser Verlag, 2001, Vol. 121, pp. 194-220.
-
(2001)
Operator Theory: Advances and Applications
, vol.121
, pp. 194-220
-
-
Hackbusch, W.1
Khoromskij, B.N.2
-
22
-
-
0038726355
-
ℋ-Matrix approximation on graded meshes
-
(Ed. J. R. Whiteman). Elsevier, Amsterdam, Chapter 19
-
W. Hackbusch and B.N. Khoromskij, ℋ-Matrix approximation on graded meshes. In: The Mathematics of Finite Elements and Applications X, MAFELAP 1999 (Ed. J. R. Whiteman). Elsevier, Amsterdam, 2000, Chapter 19, pp. 307-316.
-
(2000)
The Mathematics of Finite Elements and Applications X, MAFELAP 1999
, pp. 307-316
-
-
Hackbusch, W.1
Khoromskij, B.N.2
-
24
-
-
10644283019
-
Hierarchical matrices based on a weak admissibility criterion
-
W. Hackbusch, B. N. Khoromskij, and R. Kriemann, Hierarchical matrices based on a weak admissibility criterion. Computing (2004) 73, 207-243.
-
(2004)
Computing
, vol.73
, pp. 207-243
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Kriemann, R.3
-
25
-
-
0001852618
-
2-matrices
-
(Eds. H.-J. Bungartz, R. Hoppe, and C. Zenger), Springer-Verlag, Berlin
-
2- matrices. In: Lectures on Applied Mathematics (Eds. H.-J. Bungartz, R. Hoppe, and C. Zenger), Springer-Verlag, Berlin, 2000, pp. 9-30.
-
(2000)
Lectures on Applied Mathematics
, pp. 9-30
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Sauter, S.3
-
26
-
-
0037790754
-
-
Preprint No. 35, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig
-
W. Hackbusch, B.N. Khoromskij, and E. Tyrtyshnikov, Hierarchical Kronecker tensor-product approximation. Preprint No. 35, Max-Planck-Institut für Mathematik in den Naturwissenschaften, Leipzig, 2003.
-
(2003)
Hierarchical Kronecker Tensor-product Approximation
-
-
Hackbusch, W.1
Khoromskij, B.N.2
Tyrtyshnikov, E.3
-
27
-
-
0001617415
-
On the fast matrix multiplication in the boundary elements method by panel clustering
-
W. Hackbusch and Z.P. Nowak, On the fast matrix multiplication in the boundary elements method by panel clustering. Numer. Math.(1989) 54, 463-491.
-
(1989)
Numer. Math.
, vol.54
, pp. 463-491
-
-
Hackbusch, W.1
Nowak, Z.P.2
-
28
-
-
0036391742
-
Application of 3-way decomposition for matrix compression
-
I. Ibraghimov, Application of 3-way decomposition for matrix compression. Numer. Linear Algebra Appl. (2002) 9, 551-565.
-
(2002)
Numer. Linear Algebra Appl.
, vol.9
, pp. 551-565
-
-
Ibraghimov, I.1
-
31
-
-
46549096170
-
Rapid solution of integral equations of classical potential theory
-
V. Rokhlin, Rapid solution of integral equations of classical potential theory. J. Comp. Phys. (1985) 60, 187-207.
-
(1985)
J. Comp. Phys.
, vol.60
, pp. 187-207
-
-
Rokhlin, V.1
-
33
-
-
0035359436
-
A matrix version of the fast multipole method
-
X. Sun, N. P. Pitsianis, A matrix version of the fast multipole method. SIAM Review (2001) 43, 289-300.
-
(2001)
SIAM Review
, vol.43
, pp. 289-300
-
-
Sun, X.1
Pitsianis, N.P.2
-
34
-
-
84944459960
-
Mosaic ranks and skeletons
-
(Eds. L. Vulkov, J. Wasniewski, and P. Yalamov), Lecture Notes in Computer Science. Springer-Verlag
-
E.E.Tyrtyshnikov, Mosaic ranks and skeletons. In: Numerical Analysis and its Applications (Eds. L. Vulkov, J. Wasniewski, and P. Yalamov), Lecture Notes in Computer Science, Vol. 1196. Springer-Verlag, 1996, pp. 505-516.
-
(1996)
Numerical Analysis and Its Applications
, vol.1196
, pp. 505-516
-
-
Tyrtyshnikov, E.E.1
-
35
-
-
0029692981
-
Mosaic-skeleton approximations
-
E. E. Tyrtyshnikov, Mosaic-skeleton approximations. Calcolo (1996) 33, 47-57.
-
(1996)
Calcolo
, vol.33
, pp. 47-57
-
-
Tyrtyshnikov, E.E.1
-
36
-
-
0038805356
-
Incomplete cross approximation in the mosaic-skeleton method
-
E. E. Tyrtyshnikov, Incomplete cross approximation in the mosaic-skeleton method. Computing (2000) 64, 367-380.
-
(2000)
Computing
, vol.64
, pp. 367-380
-
-
Tyrtyshnikov, E.E.1
-
37
-
-
0742320626
-
Kronecker-product approximations for some function-related matrices
-
E. E. Tyrtyshnikov, Kronecker-product approximations for some function-related matrices. Linear Algebra Appl. (2004) 379, 423-437.
-
(2004)
Linear Algebra Appl.
, vol.379
, pp. 423-437
-
-
Tyrtyshnikov, E.E.1
-
38
-
-
17144425622
-
Tensor approximations of matrices associated with asymptotically smooth functions
-
E. E. Tyrtyshnikov, Tensor approximations of matrices associated with asymptotically smooth functions. Sbor. Math. (2003) 194, No. 6, 147-160.
-
(2003)
Sbor. Math.
, vol.194
, Issue.6
, pp. 147-160
-
-
Tyrtyshnikov, E.E.1
-
39
-
-
0002203498
-
Approximation with Kronecker products
-
Kluwer, Dordrecht
-
C. F. Van Loan and N. P. Pitsianis, Approximation with Kronecker products. NATO Adv. Sci. Ser. E Appl. Sci., Vol. 232, Kluwer, Dordrecht, 1993, pp. 293-314.
-
(1993)
NATO Adv. Sci. Ser. E Appl. Sci.
, vol.232
, pp. 293-314
-
-
Van Loan, C.F.1
Pitsianis, N.P.2
|