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1
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0036679114
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Numerical operator calculus in higher dimensions
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Beylkin, G., Mohlenkamp, M. J.: Numerical operator calculus in higher dimensions. Proc. Natl. Acad. Sci. USA 99, 10246-10251 (2002).
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Beylkin, G.1
Mohlenkamp, M.J.2
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2
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29144527677
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Schneider, R
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in preparation
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Flad, H. -J., Hackbusch, W., Khoromskij, B. N., Schneider, R.: Concept of data-sparse tensor-product approximation in many-particle models (in preparation).
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Concept of Data-sparse Tensor-product Approximation in Many-particle Models
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Flad, H.J.1
Hackbusch, W.2
Khoromskij, B.N.3
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3
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0037042658
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Wavelet approximation of correlated wave-functions. I. Basics
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Flad, H. -J., Hackbusch, W., Kolb, D., Schneider, R.: Wavelet approximation of correlated wave-functions. I. Basics. J. Chem. Phys. 116, 9641-9657 (2002).
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Flad, H.J.1
Hackbusch, W.2
Kolb, D.3
Schneider, R.4
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4
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0036022621
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H-matrix approximation for the operator exponential with applications
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Gavrilyuk, I. P., Hackbusch, W., Khoromskij, B. N.: H-matrix approximation for the operator exponential with applications. Numer. Math. 92, 83-111 (2002).
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Numer. Math.
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Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
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5
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2942644816
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Data-sparse approximation to operator-valued functions of elliptic operators
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Gavrilyuk, I. P., Hackbusch, W., Khoromskij, B. N.: Data-sparse approximation to operator-valued functions of elliptic operators. Math. Comp. 73, 1297-1324 (2004).
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Math. Comp.
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Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
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6
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14944359407
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Data-sparse approximation to a class of operator-valued functions
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Gavrilyuk, I. P., Hackbusch, W., Khoromskij, B. N.: Data-sparse approximation to a class of operator-valued functions. Math. Comp. 74, 681-708 (2005).
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Math. Comp.
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Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
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7
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17144410769
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Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions
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Gavrilyuk, I. P., Hackbusch, W., Khoromskij, B. N.: Tensor-product approximation to elliptic and parabolic solution operators in higher dimensions. Computing 74, 131-157 (2005).
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Computing
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Gavrilyuk, I.P.1
Hackbusch, W.2
Khoromskij, B.N.3
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9
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3042756404
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Existence and computation of a low Kronecker-rank approximation to the solution of a tensor system with tensor right-hand side
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Grasedyck, L.: Existence and computation of a low Kronecker-rank approximation to the solution of a tensor system with tensor right-hand side. Computing 72, 247-265 (2004).
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Computing
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Grasedyck, L.1
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10
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0141829814
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Construction and arithmetics of H-matrices
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Grasedyck, L., Hackbusch, W.: Construction and arithmetics of H-matrices. Computing 70, 295-334 (2003).
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Computing
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Grasedyck, L.1
Hackbusch, W.2
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11
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0041340908
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Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices
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Grasedyck, L., Hackbusch, W., Khoromskij, B. N.: Solution of large scale algebraic matrix Riccati equations by use of hierarchical matrices. Computing 70, 121-165 (2003).
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(2003)
Computing
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Grasedyck, L.1
Hackbusch, W.2
Khoromskij, B.N.3
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12
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0034337983
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Optimized tensor-product approximation spaces
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Griebel, M., Knapek, S.: Optimized tensor-product approximation spaces. Constr. Approx. 16, 303-332 (2000).
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Constr. Approx.
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Griebel, M.1
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13
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A sparse matrix arithmetic based on H-matrices. Part I: Introduction to H-matrices
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Hackbusch, W.: A sparse matrix arithmetic based on H-matrices. Part I: Introduction to H-matrices. Computing 62, 89-108 (1999).
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Computing
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Hackbusch, W.1
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14
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0002133258
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A sparse H-matrix arithmetic. Part II: Application to multi-dimensional problems
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Hackbusch, W., Khoromskij, B. N.: A sparse H-matrix arithmetic. Part II: Application to multi-dimensional problems. Computing 64, 21-47 (2000).
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Computing
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Hackbusch, W.1
Khoromskij, B.N.2
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16
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29144513721
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Low-rank Kronecker product approximation to multi-dimensional nonlocal operators. Part I. Separable approximation of multi-variate functions
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(2006) (this issue)
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Hackbusch, W., Khoromskij, B. N.: Low-rank Kronecker product approximation to multi-dimensional nonlocal operators. Part I. Separable approximation of multi-variate functions. Computing 76, 177-202 (2006) (this issue).
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Computing
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Hackbusch, W.1
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17
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Hierarchical Kronecker tensor-product approximation
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Hackbusch, W., Khoromskij, B. N., Tyrtyshnikov, E.: Hierarchical Kronecker tensor-product approximation. J. Numer. Math. 13, 207-243 (2005).
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Hackbusch, W.1
Khoromskij, B.N.2
Tyrtyshnikov, E.3
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18
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0037158540
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Wavelet approximation of correlated wavefunctions. II. Hyperbolic wavelets and adaptive approximation schemes
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Luo, H., Kolb, D., Flad, H. -J., Hackbusch, W., Koprucki, T.: Wavelet approximation of correlated wavefunctions. II. Hyperbolic wavelets and adaptive approximation schemes. J. Chem. Phys. 117, 3625-3638 (2002).
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J. Chem. Phys.
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Luo, H.1
Kolb, D.2
Flad, H.J.3
Hackbusch, W.4
Koprucki, T.5
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19
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0001861898
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Approximation of functions with bounded mixed derivative
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Temlyakov, V. N.: Approximation of functions with bounded mixed derivative. Proc. Steklov Inst. Math. 178(1), 275-293 (1989).
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Tensor approximations of matrices generated by asymptotically smooth functions
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Tyrtyshnikov, E. E.: Tensor approximations of matrices generated by asymptotically smooth functions. Mat. Sb. 194(6), 147-160 (2003)
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Mat. Sb.
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Tyrtyshnikov, E.E.1
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22
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0036056838
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Rank-one approximation to high order tensors
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Zhang, T., Golub, G. H.: Rank-one approximation to high order tensors. SIAM J. Matrix Anal. Appl. 23, 534-550 (2001).
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Zhang, T.1
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Computation of the canonical decomposition by means of a simultaneous generalized Schur decomposition
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De Lathauwer, L., De Moor, B., Vandewalle, J.: Computation of the canonical decomposition by means of a simultaneous generalized Schur decomposition. SIAM J. Matrix Anal. Appl. 26, 295-327 (2004)
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De Lathauwer, L.1
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