-
1
-
-
0042936758
-
A relation between cubature formulae of trigonometric degree and lattice rules
-
Numerical Integration IV (H. Brass and G. Hämmerlin, eds.), Birkhäuser Verlag, Basel
-
M. Beckers and R. Cools, A relation between cubature formulae of trigonometric degree and lattice rules, International Series of Numerical Mathematics., Vol. 112, Numerical Integration IV (H. Brass and G. Hämmerlin, eds.), Birkhäuser Verlag, Basel, 1993, pp. 13-24. MR 95b:65034
-
(1993)
International Series of Numerical Mathematics
, vol.112
, pp. 13-24
-
-
Beckers, M.1
Cools, R.2
-
2
-
-
0041182959
-
-
M. Beckers and R. Cools, A relation between cubature formulae of trigonometric degree and lattice rules, International Series of Numerical Mathematics., Vol. 112, Numerical Integration IV (H. Brass and G. Hämmerlin, eds.), Birkhäuser Verlag, Basel, 1993, pp. 13-24. MR 95b:65034
-
MR
, vol.95 B
, pp. 65034
-
-
-
3
-
-
0032687344
-
Smolyak's construction of cubature formulas of arbitrary trigonometric degree
-
R. Cools, E. Novak, and K. Ritter, Smolyak's construction of cubature formulas of arbitrary trigonometric degree, Computing 62, no. 2, (1999), 147-162. MR 2000c:41041
-
(1999)
Computing
, vol.62
, Issue.2
, pp. 147-162
-
-
Cools, R.1
Novak, E.2
Ritter, K.3
-
4
-
-
0032687344
-
-
R. Cools, E. Novak, and K. Ritter, Smolyak's construction of cubature formulas of arbitrary trigonometric degree, Computing 62, no. 2, (1999), 147-162. MR 2000c:41041
-
MR
, vol.2000 C
, pp. 41041
-
-
-
5
-
-
0041111132
-
Different quality indexes for lattice rules
-
R. Cools and A. Reztsov, Different quality indexes for lattice rules, J. Complexity 13 (1997), 235-258. MR 98e:65011
-
(1997)
J. Complexity
, vol.13
, pp. 235-258
-
-
Cools, R.1
Reztsov, A.2
-
6
-
-
0041111132
-
-
R. Cools and A. Reztsov, Different quality indexes for lattice rules, J. Complexity 13 (1997), 235-258. MR 98e:65011
-
MR
, vol.98 E
, pp. 65011
-
-
-
7
-
-
0030518012
-
Minimal cubature formulae of trigonometric degree
-
R. Cools and I. H. Sloan, Minimal cubature formulae of trigonometric degree, Math. Comp. 65, no. 216, (1996), 1583-1600. MR 97a:65025
-
(1996)
Math. Comp.
, vol.65
, Issue.216
, pp. 1583-1600
-
-
Cools, R.1
Sloan, I.H.2
-
8
-
-
0030518012
-
-
R. Cools and I. H. Sloan, Minimal cubature formulae of trigonometric degree, Math. Comp. 65, no. 216, (1996), 1583-1600. MR 97a:65025
-
MR
, vol.97 A
, pp. 65025
-
-
-
9
-
-
0039403716
-
On the connection between quadrature formulas and sublattices of the lattice of integral vectors
-
K. K. Frolov, On the connection between quadrature formulas and sublattices of the lattice of integral vectors, Dokl. Akad. Nauk SSSR 232 (1977), 40-43, (Russian) Soviet Math. Dokl. 18 (1977), 37-41 (English). MR 55:272
-
(1977)
Dokl. Akad. Nauk SSSR
, vol.232
, pp. 40-43
-
-
Frolov, K.K.1
-
10
-
-
0039995689
-
-
English
-
K. K. Frolov, On the connection between quadrature formulas and sublattices of the lattice of integral vectors, Dokl. Akad. Nauk SSSR 232 (1977), 40-43, (Russian) Soviet Math. Dokl. 18 (1977), 37-41 (English). MR 55:272
-
(1977)
(Russian) Soviet Math. Dokl.
, vol.18
, pp. 37-41
-
-
-
11
-
-
0040588872
-
-
K. K. Frolov, On the connection between quadrature formulas and sublattices of the lattice of integral vectors, Dokl. Akad. Nauk SSSR 232 (1977), 40-43, (Russian) Soviet Math. Dokl. 18 (1977), 37-41 (English). MR 55:272
-
MR
, vol.55
, pp. 272
-
-
-
13
-
-
0039643180
-
-
P. M. Gruber and C. G. Lekkerkerker, Geometry of numbers, North-Holland, Amsterdam, 1987. MR 88j:11034
-
MR
, vol.88 J
, pp. 11034
-
-
-
14
-
-
0040588867
-
A relation between cubature formulas and densest lattice packings
-
B. V. Klyuchnikov and A. V. Reztsov. A relation between cubature formulas and densest lattice packings, East J. Approx. 1, no. 4, (1995), 557-570. MR 97g:41045
-
(1995)
East J. Approx.
, vol.1
, Issue.4
, pp. 557-570
-
-
Klyuchnikov, B.V.1
Reztsov, A.V.2
-
15
-
-
0040588871
-
-
B. V. Klyuchnikov and A. V. Reztsov. A relation between cubature formulas and densest lattice packings, East J. Approx. 1, no. 4, (1995), 557-570. MR 97g:41045
-
MR
, vol.97 G
, pp. 41045
-
-
-
16
-
-
0009286941
-
Cubature rules of prescribed merit
-
J. N. Lyness and I. H. Sloan, Cubature rules of prescribed merit, SIAM J. Numer. Anal. 34, no. 2, (1997), 586-602. MR 97m:65052
-
(1997)
SIAM J. Numer. Anal.
, vol.34
, Issue.2
, pp. 586-602
-
-
Lyness, J.N.1
Sloan, I.H.2
-
17
-
-
0009286941
-
-
J. N. Lyness and I. H. Sloan, Cubature rules of prescribed merit, SIAM J. Numer. Anal. 34, no. 2, (1997), 586-602. MR 97m:65052
-
MR
, vol.97 M
, pp. 65052
-
-
-
18
-
-
21344489794
-
Lattice rules by component scaling
-
J. N. Lyness and T. Sørevik, Lattice rules by component scaling, Math. Comp. 61, no. 204, (1993), 799-820. MR 94a:65011
-
(1993)
Math. Comp.
, vol.61
, Issue.204
, pp. 799-820
-
-
Lyness, J.N.1
Sørevik, T.2
-
19
-
-
21344489794
-
-
J. N. Lyness and T. Sørevik, Lattice rules by component scaling, Math. Comp. 61, no. 204, (1993), 799-820. MR 94a:65011
-
MR
, vol.94 A
, pp. 65011
-
-
-
20
-
-
0041182891
-
Some comments on quadrature rule construction criteria
-
Numerical Integration III (G. Hämmerlin and H. Brass, eds.), Birkhäuser Verlag, Basel
-
J. N. Lyness, Some comments on quadrature rule construction criteria, International Series of Numerical Mathematics., Vol. 85, Numerical Integration III (G. Hämmerlin and H. Brass, eds.), Birkhäuser Verlag, Basel, 1988, pp. 117-129. MR 91b:65028
-
(1988)
International Series of Numerical Mathematics
, vol.85
, pp. 117-129
-
-
Lyness, J.N.1
-
21
-
-
0040588870
-
-
J. N. Lyness, Some comments on quadrature rule construction criteria, International Series of Numerical Mathematics., Vol. 85, Numerical Integration III (G. Hämmerlin and H. Brass, eds.), Birkhäuser Verlag, Basel, 1988, pp. 117-129. MR 91b:65028
-
MR
, vol.91 B
, pp. 65028
-
-
-
22
-
-
0037948473
-
An introduction to lattice rules and their generator matrices
-
J. N. Lyness, An introduction to lattice rules and their generator matrices, IMA J. Numer. Anal. 9 (1989), 405-419. MR 91b:65029
-
(1989)
IMA J. Numer. Anal.
, vol.9
, pp. 405-419
-
-
Lyness, J.N.1
-
23
-
-
0037948473
-
-
J. N. Lyness, An introduction to lattice rules and their generator matrices, IMA J. Numer. Anal. 9 (1989), 405-419. MR 91b:65029
-
MR
, vol.91 B
, pp. 65029
-
-
-
24
-
-
0004230976
-
-
Reprint (originally published in 2 volumes, Leipzig, 1911), Chelsea Publishing Company
-
H. Minkowski, Gesammelte Abhandlungen, Reprint (originally published in 2 volumes, Leipzig, 1911), Chelsea Publishing Company, 1967.
-
(1967)
Gesammelte Abhandlungen
-
-
Minkowski, H.1
-
25
-
-
0039403711
-
Quadrature formulae of the highest trigonometric degree of accuracy
-
Russian
-
I. P. Mysovskikh, Quadrature formulae of the highest trigonometric degree of accuracy, Zh. Vychisl. Mat. i Mat. Fiz. 25 (1985), 1246 1252 (Russian). U.S.S.R. Comput. Maths. Math. Phys. 25 (1985), 180-184 (English). MR 87b:65030
-
(1985)
Zh. Vychisl. Mat. i Mat. Fiz.
, vol.25
, pp. 1246-1252
-
-
Mysovskikh, I.P.1
-
26
-
-
0039403711
-
-
English
-
I. P. Mysovskikh, Quadrature formulae of the highest trigonometric degree of accuracy, Zh. Vychisl. Mat. i Mat. Fiz. 25 (1985), 1246 1252 (Russian). U.S.S.R. Comput. Maths. Math. Phys. 25 (1985), 180-184 (English). MR 87b:65030
-
(1985)
U.S.S.R. Comput. Maths. Math. Phys.
, vol.25
, pp. 180-184
-
-
-
27
-
-
0039403711
-
-
I. P. Mysovskikh, Quadrature formulae of the highest trigonometric degree of accuracy, Zh. Vychisl. Mat. i Mat. Fiz. 25 (1985), 1246 1252 (Russian). U.S.S.R. Comput. Maths. Math. Phys. 25 (1985), 180-184 (English). MR 87b:65030
-
MR
, vol.87 B
, pp. 65030
-
-
-
28
-
-
0011598379
-
Cubature formulas that are exact for trigonometric polynomials
-
Russian
-
I. P. Mysovskikh, Cubature formulas that are exact for trigonometric polynomials, Dokl. Akad. Nauk SSSR 296 (1987), 28-31 (Russian). Soviet Math. Dokl. 36 (1988), 229-232 (English). MR 89b:41038
-
(1987)
Dokl. Akad. Nauk SSSR
, vol.296
, pp. 28-31
-
-
Mysovskikh, I.P.1
-
29
-
-
0041182950
-
-
English
-
I. P. Mysovskikh, Cubature formulas that are exact for trigonometric polynomials, Dokl. Akad. Nauk SSSR 296 (1987), 28-31 (Russian). Soviet Math. Dokl. 36 (1988), 229-232 (English). MR 89b:41038
-
(1988)
Soviet Math. Dokl.
, vol.36
, pp. 229-232
-
-
-
30
-
-
0039403712
-
-
I. P. Mysovskikh, Cubature formulas that are exact for trigonometric polynomials, Dokl. Akad. Nauk SSSR 296 (1987), 28-31 (Russian). Soviet Math. Dokl. 36 (1988), 229-232 (English). MR 89b:41038
-
MR
, vol.89 B
, pp. 41038
-
-
-
31
-
-
0038285801
-
Cubature formulas that are exact for trigonometric polynomials
-
Russian
-
I. P. Mysovskikh, Cubature formulas that are exact for trigonometric polynomials, Metody Vyčisl. 15 (1988), 7-19 (Russian). MR 90a:65050
-
(1988)
Metody Vyčisl.
, vol.15
, pp. 7-19
-
-
Mysovskikh, I.P.1
-
32
-
-
0041182951
-
-
I. P. Mysovskikh, Cubature formulas that are exact for trigonometric polynomials, Metody Vyčisl. 15 (1988), 7-19 (Russian). MR 90a:65050
-
MR
, vol.90 A
, pp. 65050
-
-
-
33
-
-
0038982485
-
Cubature formulae for the approximate integration of periodic functions
-
Russian
-
M. V. Noskov, Cubature formulae for the approximate integration of periodic functions, Metody Vyčisl. 14 (1985), 15-23 (Russian). MR 90f:65038
-
(1985)
Metody Vyčisl.
, vol.14
, pp. 15-23
-
-
Noskov, M.V.1
-
34
-
-
0039403718
-
-
M. V. Noskov, Cubature formulae for the approximate integration of periodic functions, Metody Vyčisl. 14 (1985), 15-23 (Russian). MR 90f:65038
-
MR
, vol.90 F
, pp. 65038
-
-
-
35
-
-
0038285802
-
Cubature formulae for the approximate integration of functions of three variables
-
Russian
-
M. V. Noskov, Cubature formulae for the approximate integration of functions of three variables, Zh. Vychisl. Mat. Mat. Fiz. 28 (1988), 1583-1586 (Russian). U.S.S.R. Comput. Maths. Math. Phys. 28 (1988), 200-202 (English). MR 90j:65042
-
(1988)
Zh. Vychisl. Mat. Mat. Fiz.
, vol.28
, pp. 1583-1586
-
-
Noskov, M.V.1
-
36
-
-
0040588868
-
-
English
-
M. V. Noskov, Cubature formulae for the approximate integration of functions of three variables, Zh. Vychisl. Mat. Mat. Fiz. 28 (1988), 1583-1586 (Russian). U.S.S.R. Comput. Maths. Math. Phys. 28 (1988), 200-202 (English). MR 90j:65042
-
(1988)
U.S.S.R. Comput. Maths. Math. Phys.
, vol.28
, pp. 200-202
-
-
-
37
-
-
0039403717
-
-
M. V. Noskov, Cubature formulae for the approximate integration of functions of three variables, Zh. Vychisl. Mat. Mat. Fiz. 28 (1988), 1583-1586 (Russian). U.S.S.R. Comput. Maths. Math. Phys. 28 (1988), 200-202 (English). MR 90j:65042
-
MR
, vol.90 J
, pp. 65042
-
-
-
38
-
-
0040166652
-
Formulas for the approximate integration of periodic functions
-
Russian
-
M. V. Noskov, Formulas for the approximate integration of periodic functions, Metody Vyčisl. 15 (1988), 19-22 (Russian). CMP 21:03
-
(1988)
Metody Vyčisl.
, vol.15
, pp. 19-22
-
-
Noskov, M.V.1
-
39
-
-
4243623597
-
-
M. V. Noskov, Formulas for the approximate integration of periodic functions, Metody Vyčisl. 15 (1988), 19-22 (Russian). CMP 21:03
-
CMP
, vol.21
, pp. 03
-
-
-
40
-
-
0039403662
-
On the construction of cubature formulae of higher trigonometric degree
-
Russian
-
M. V. Noskov, On the construction of cubature formulae of higher trigonometric degree, Metody Vyčisl. 16 (1991), 16-23 (Russian).
-
(1991)
Metody Vyčisl.
, vol.16
, pp. 16-23
-
-
Noskov, M.V.1
-
41
-
-
0039995641
-
Cubature formulae of high trigonometric accuracy for periodic functions of four variables
-
M. V. Noskov and A. R. Semenova, Cubature formulae of high trigonometric accuracy for periodic functions of four variables, Comp. Math. Math. Phys. 36, no. 10, (1996), 1325-1330. MR 97h:65029
-
(1996)
Comp. Math. Math. Phys.
, vol.36
, Issue.10
, pp. 1325-1330
-
-
Noskov, M.V.1
Semenova, A.R.2
-
42
-
-
0039995641
-
-
M. V. Noskov and A. R. Semenova, Cubature formulae of high trigonometric accuracy for periodic functions of four variables, Comp. Math. Math. Phys. 36, no. 10, (1996), 1325-1330. MR 97h:65029
-
MR
, vol.97 H
, pp. 65029
-
-
-
43
-
-
0041182949
-
Computing experiments for construction of cubature formulae of high trigonometric accuracy
-
(Ufa) (M. D. Ramazanov, ed.)
-
A. R. Semenova, Computing experiments for construction of cubature formulae of high trigonometric accuracy, Cubature Formulas and Their Applications (Russian) (Ufa) (M. D. Ramazanov, ed.), 1996, pp. 105-115.
-
(1996)
Cubature Formulas and Their Applications (Russian)
, pp. 105-115
-
-
Semenova, A.R.1
-
45
-
-
0040588869
-
-
I. H. Sloan and S. Joe, Lattice methods for multiple integration, Oxford University Press, 1994. MR 98a:65026
-
MR
, vol.98 A
, pp. 65026
-
-
|