-
1
-
-
26944479180
-
Sur une classe de polynômes a deux variables et le calcul approché des intégrales doubles
-
Appell P. Sur une classe de polynômes a deux variables et le calcul approché des intégrales doubles. Ann. Fac. Sci. Univ. Toulouse. 4:1890;H1-H20.
-
(1890)
Ann. Fac. Sci. Univ. Toulouse
, vol.4
-
-
Appell, P.1
-
3
-
-
0038909488
-
On the number of nodes of odd degree cubature formulae for integrals with Jacobi weights on a simplex
-
T.O. Espelid, & A. Genz. Dordrecht: Kluwer Academic Publishers
-
Berens H., Schmid H.J. On the number of nodes of odd degree cubature formulae for integrals with Jacobi weights on a simplex. Espelid T.O., Genz A. Numerical Integration. 1992;37-44 Kluwer Academic Publishers, Dordrecht.
-
(1992)
Numerical Integration
, pp. 37-44
-
-
Berens, H.1
Schmid, H.J.2
-
4
-
-
21844506329
-
On twodimensional definite orthogonal systems and on a lower bound for the number of nodes of associated cubature formulae
-
Berens H., Schmid H.J., Xu Y. On twodimensional definite orthogonal systems and on a lower bound for the number of nodes of associated cubature formulae. SIAM J. Math. Anal. 26:1995;468-487.
-
(1995)
SIAM J. Math. Anal.
, vol.26
, pp. 468-487
-
-
Berens, H.1
Schmid, H.J.2
Xu, Y.3
-
5
-
-
0040687322
-
Multivariate Gaussian cubature formulae
-
Berens H., Schmid H.J., Xu Y. Multivariate Gaussian cubature formulae. Arch. Math. 64:1995;26-32.
-
(1995)
Arch. Math.
, vol.64
, pp. 26-32
-
-
Berens, H.1
Schmid, H.J.2
Xu, Y.3
-
6
-
-
0040687294
-
Sur une extension de la méthode de quadrature de Gauss
-
Bourget H. Sur une extension de la méthode de quadrature de Gauss. Acad. Sci. Paris. 126:1898;634-636.
-
(1898)
Acad. Sci. Paris
, vol.126
, pp. 634-636
-
-
Bourget, H.1
-
7
-
-
0039502153
-
Cubature formulae with a minimal number of nodes in a plane region which are exact for polynomials of degree 4
-
in Russian
-
T.M. Bykova, Cubature formulae with a minimal number of nodes in a plane region which are exact for polynomials of degree 4, Vestnik Leningrad. Univ. Math. 7 (1969) 145-147 (in Russian).
-
(1969)
Vestnik Leningrad. Univ. Math.
, vol.7
, pp. 145-147
-
-
Bykova, T.M.1
-
8
-
-
0038909469
-
Cubature formulae for three-dimensional integrals of degree four with eleven nodes
-
in Russian
-
T.M. Bykova, Cubature formulae for three-dimensional integrals of degree four with eleven nodes, Isw. AN BSSR. Ser. Phys.-Math. 10 (1) (1970) 51-54 (in Russian).
-
(1970)
Isw. AN BSSR. Ser. Phys.-Math.
, vol.10
, Issue.1
, pp. 51-54
-
-
Bykova, T.M.1
-
9
-
-
0040093777
-
Construction of domains for which there exist interpolation cubature formulae with the least number of nodes
-
in Russian
-
V.Ja. Cernicina, Construction of domains for which there exist interpolation cubature formulae with the least number of nodes, Vestnik Leningrad. Univ. No. 1, Mat. Meh. Astronom. Vyp. 28 (1973) 144-147 (in Russian).
-
(1973)
Vestnik Leningrad. Univ. No. 1, Mat. Meh. Astronom. Vyp.
, vol.28
, pp. 144-147
-
-
Cernicina, V.ja.1
-
10
-
-
85011494605
-
-
Cambridge University Press, Cambridge
-
R. Cools, Constructing Cubature Formulae: The Science Behind the Art, Acta Numerica, Vol. 6, Cambridge University Press, Cambridge, 1997, pp. 1-54.
-
(1997)
Constructing Cubature Formulae: The Science behind the Art, Acta Numerica
, vol.6
, pp. 1-54
-
-
Cools, R.1
-
11
-
-
0033322064
-
Monomial cubature rules since "stroud": A compilation - Part 2
-
Cools R. Monomial cubature rules since "Stroud": a compilation - Part 2. J. Comput. Appl. Math. 112:1999;21-27.
-
(1999)
J. Comput. Appl. Math.
, vol.112
, pp. 21-27
-
-
Cools, R.1
-
12
-
-
0040093814
-
Why do so many cubature formulae have so many positive weights?
-
Cools R., Haegemans A. Why do so many cubature formulae have so many positive weights? BIT. 28:1988;792-802.
-
(1988)
BIT
, vol.28
, pp. 792-802
-
-
Cools, R.1
Haegemans, A.2
-
13
-
-
0040687299
-
Construction of symmetric cubature formulae with the number of knots (almost) equal to Möller's lower bound
-
H. Braß, & G. Hämmerlin. Basel: Birkhäuser
-
Cools R., Haegemans A. Construction of symmetric cubature formulae with the number of knots (almost) equal to Möller's lower bound. Braß H., Hämmerlin G. Numerical Integration, ISNM, Vol. 85. 1988;25-36 Birkhäuser, Basel.
-
(1988)
Numerical Integration, ISNM, Vol. 85
, pp. 25-36
-
-
Cools, R.1
Haegemans, A.2
-
14
-
-
0001415473
-
Monomial cubature rules since "stroud": A compilation
-
Cools R., Rabinowitz P. Monomial cubature rules since "Stroud": a compilation. J. Comput. Appl. Math. 48:1993;309-326.
-
(1993)
J. Comput. Appl. Math.
, vol.48
, pp. 309-326
-
-
Cools, R.1
Rabinowitz, P.2
-
15
-
-
0011682972
-
Minimal cubature formulae of degree 2 k -1 for two classical functionals
-
Cools R., Schmid H.J. Minimal cubature formulae of degree. 2 k -1 for two classical functionals Computing. 43:1989;141-157.
-
(1989)
Computing
, vol.43
, pp. 141-157
-
-
Cools, R.1
Schmid, H.J.2
-
16
-
-
0037610427
-
A new lower bound for the number of nodes in cubature formulae of degree 4 n + 1 for some circularly symmetric integrals
-
H. Brass, & G. Hämmerlin. Basel: Birkhäuser
-
Cools R., Schmid H.J. A new lower bound for the number of nodes in cubature formulae of degree. 4 n + 1 for some circularly symmetric integrals Brass H., Hämmerlin G. Integration IV, International Series of Numerical Mathematics, Vol. 112. 1993;57-66 Birkhäuser, Basel.
-
(1993)
Integration IV, International Series of Numerical Mathematics, Vol. 112
, pp. 57-66
-
-
Cools, R.1
Schmid, H.J.2
-
18
-
-
0038909470
-
Algebraic theory of real varieties I
-
Academica Sinica, Tapei
-
D.W. Dubois, G. Efroymson, Algebraic theory of real varieties I, in: Studies and Essays Presented to Yu-Why Chen on his Sixtieth Birthday, Academica Sinica, Tapei, 1970, pp. 107-135.
-
(1970)
In: Studies and Essays Presented to Yu-Why Chen on His Sixtieth Birthday
, pp. 107-135
-
-
Dubois, D.W.1
Efroymson, G.2
-
19
-
-
0039815406
-
Local reality on algebraic varieties
-
Efroymson G. Local reality on algebraic varieties. J. Algebra. 29:1974;133-142.
-
(1974)
J. Algebra
, vol.29
, pp. 133-142
-
-
Efroymson, G.1
-
21
-
-
0039502149
-
Obtaining cubatures for rectangles and other planar regions by using orthogonal polynomials
-
Franke R. Obtaining cubatures for rectangles and other planar regions by using orthogonal polynomials. Math. Comp. 25:1971;813-817.
-
(1971)
Math. Comp.
, vol.25
, pp. 813-817
-
-
Franke, R.1
-
22
-
-
0040687321
-
Minimal point cubatures of precision seven for symmetric planar regions
-
Franke R. Minimal point cubatures of precision seven for symmetric planar regions. SIAM J. Numer. Anal. 10:1973;849-862.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 849-862
-
-
Franke, R.1
-
23
-
-
84968481500
-
On the existence of regions with minimal third degree integration formulas
-
Fritsch N.N. On the existence of regions with minimal third degree integration formulas. Math. Comp. 24:1970;855-861.
-
(1970)
Math. Comp.
, vol.24
, pp. 855-861
-
-
Fritsch, N.N.1
-
24
-
-
0001923625
-
The multidimensional moment problem
-
Fuglede B. The multidimensional moment problem. Exposition. Math. 1:1983;47-65.
-
(1983)
Exposition. Math.
, vol.1
, pp. 47-65
-
-
Fuglede, B.1
-
25
-
-
0039502152
-
On a cubature formula for the four-dimensional ball
-
in Russian
-
G.N. Gegel', On a cubature formula for the four-dimensional ball, Ž. Vyčisl. Mat. i Mat. Fiz. 15 (1) (1975) 234-236 (in Russian), USSR Math. Comp. 15 (1) (1975) 226-228.
-
(1975)
Ž. Vyčisl. Mat. I Mat. Fiz.
, vol.15
, Issue.1
, pp. 234-236
-
-
Gegel', G.N.1
-
26
-
-
0040093813
-
-
G.N. Gegel', On a cubature formula for the four-dimensional ball, Ž. Vyčisl. Mat. i Mat. Fiz. 15 (1) (1975) 234-236 (in Russian), USSR Math. Comp. 15 (1) (1975) 226-228.
-
(1975)
USSR Math. Comp.
, vol.15
, Issue.1
, pp. 226-228
-
-
-
27
-
-
0039502133
-
Construction of cubature formulae exact for polynomials of degree 2m
-
in Russian
-
G.N. Gegel', Construction of cubature formulae exact for polynomials of degree 2m , Voprosy Vychisl. i Prikl. Mat., Tashkent 32 (1975) 5-9 (in Russian).
-
(1975)
Voprosy Vychisl. I Prikl. Mat., Tashkent
, vol.32
, pp. 5-9
-
-
Gegel', G.N.1
-
28
-
-
0040093812
-
Über die Konstruktion von Systemen orthogonaler Polynome in ein- Und zweidimensionalen Bereichen
-
Gröbner W. Über die Konstruktion von Systemen orthogonaler Polynome in ein- und zweidimensionalen Bereichen. Monatsh. Math. 52:1948;38-54.
-
(1948)
Monatsh. Math.
, vol.52
, pp. 38-54
-
-
Gröbner, W.1
-
30
-
-
0016072652
-
Third degree integration formulas with four real points and positive weights in two dimensions
-
Günther C. Third degree integration formulas with four real points and positive weights in two dimensions. SIAM J. Numer. Anal. 11:1974;480-493.
-
(1974)
SIAM J. Numer. Anal.
, vol.11
, pp. 480-493
-
-
Günther, C.1
-
32
-
-
0040093778
-
Construction of known and new cubature formulas of degree five for three-dimensional symmetric regions, using orthogonal polynomials
-
G. Hämmerlin. Basel: Birkhäuser
-
Haegemans A. Construction of known and new cubature formulas of degree five for three-dimensional symmetric regions, using orthogonal polynomials. Hämmerlin G. Numerical Integration, International Series of Numerical Mathematics, Vol. 57. 1982;119-127 Birkhäuser, Basel.
-
(1982)
Numerical Integration, International Series of Numerical Mathematics, Vol. 57
, pp. 119-127
-
-
Haegemans, A.1
-
33
-
-
0038909480
-
Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials
-
Haegemans A., Piessens R. Construction of cubature formulas of degree eleven for symmetric planar regions, using orthogonal polynomials. Numer. Math. 25:1976;139-148.
-
(1976)
Numer. Math.
, vol.25
, pp. 139-148
-
-
Haegemans, A.1
Piessens, R.2
-
34
-
-
0040687298
-
Construction of cubature formulas of degree seven and nine symmetric planar regions, using orthogonal polynomials
-
Haegemans A., Piessens R. Construction of cubature formulas of degree seven and nine symmetric planar regions, using orthogonal polynomials. SIAM J. Numer. Anal. 14:1977;492-508.
-
(1977)
SIAM J. Numer. Anal.
, vol.14
, pp. 492-508
-
-
Haegemans, A.1
Piessens, R.2
-
35
-
-
84967710269
-
Evaluation of orthogonal polynomials and relationship to evaluating multiple integrals
-
Hirsch P.M. Evaluation of orthogonal polynomials and relationship to evaluating multiple integrals. Math. Comp. 22:1968;280-285.
-
(1968)
Math. Comp.
, vol.22
, pp. 280-285
-
-
Hirsch, P.M.1
-
36
-
-
0040687303
-
Quadrature formulas over fully symmetric planar regions
-
Huelsman III C.B. Quadrature formulas over fully symmetric planar regions. SIAM J. Numer. Anal. 10:1973;539-552.
-
(1973)
SIAM J. Numer. Anal.
, vol.10
, pp. 539-552
-
-
Huelsman C.B. III1
-
37
-
-
0040093808
-
On the construction of formulae for hypercube and sphere
-
in Russian
-
G.P. Ismatullaev, On the construction of formulae for hypercube and sphere, Voprosy Vycisl. i Prikl. Mat., Tashkent 51 (1978) 191-203 (in Russian).
-
(1978)
Voprosy Vycisl. I Prikl. Mat., Tashkent
, vol.51
, pp. 191-203
-
-
Ismatullaev, G.P.1
-
38
-
-
84972537281
-
Formal properties of orthogonal polynomials in two variables
-
Jackson D. Formal properties of orthogonal polynomials in two variables. Duke Math. J. 2:1936;423-434.
-
(1936)
Duke Math. J.
, vol.2
, pp. 423-434
-
-
Jackson, D.1
-
39
-
-
0002095317
-
Two-variable analogues for the classical orthogonal polynomials
-
R.A. Askey. New York: Academic Press
-
Koornwinder T. Two-variable analogues for the classical orthogonal polynomials. Askey R.A. Theory and Applications of Special Functions. 1975;Academic Press, New York.
-
(1975)
Theory and Applications of Special Functions
-
-
Koornwinder, T.1
-
40
-
-
0008909251
-
The recursion formulas for orthogonal polynomials in n variables
-
Kowalski M.A. The recursion formulas for orthogonal polynomials in. n variables SIAM J. Math. Anal. 13:1982;309-315.
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 309-315
-
-
Kowalski, M.A.1
-
41
-
-
0000105784
-
Orthogonality and recursion formulas for polynomials in n variables
-
Kowalski M.A. Orthogonality and recursion formulas for polynomials in. n variables SIAM J. Math. Anal. 13:1982;316-323.
-
(1982)
SIAM J. Math. Anal.
, vol.13
, pp. 316-323
-
-
Kowalski, M.A.1
-
42
-
-
0346768607
-
-
Springer, Berlin
-
M.A. Kowalski, Algebraic Characterization of Orthogonality in the Space of Polynomials, Lecture Notes in Mathematics, Vol. 1171, Springer, Berlin, 1985, pp. 101-110.
-
(1985)
Algebraic Characterization of Orthogonality in the Space of Polynomials, Lecture Notes in Mathematics
, vol.1171
, pp. 101-110
-
-
Kowalski, M.A.1
-
45
-
-
0040093806
-
The finite moment problem in several variables
-
in Russian
-
V.A. Kuzmenkov, The finite moment problem in several variables, Vestnik Leningr. Univ. 19 (1975) 26-31 (in Russian).
-
(1975)
Vestnik Leningr. Univ.
, vol.19
, pp. 26-31
-
-
Kuzmenkov, V.A.1
-
46
-
-
84966234389
-
On the existence of cubature formulae with a minimal number of nodes
-
in Russian
-
V.A. Kuzmenkov, On the existence of cubature formulae with a minimal number of nodes, Žh. Vyčisl. Mat. i Mat. Fiz. 16(5) (1976) 1337-1334 (in Russian). USSR Math. Comp. 16(5) (1975) 242-245.
-
(1976)
Žh. Vyčisl. Mat. I Mat. Fiz.
, vol.16
, Issue.5
, pp. 1337-1334
-
-
Kuzmenkov, V.A.1
-
47
-
-
0039502138
-
-
V.A. Kuzmenkov, On the existence of cubature formulae with a minimal number of nodes, Žh. Vyčisl. Mat. i Mat. Fiz. 16(5) (1976) 1337-1334 (in Russian). USSR Math. Comp. 16(5) (1975) 242-245.
-
(1975)
USSR Math. Comp.
, vol.16
, Issue.5
, pp. 242-245
-
-
-
48
-
-
0039502148
-
Gaussian type cubature formulae and the finite moment problem
-
in Russian
-
V.A. Kuzmenkov, Gaussian type cubature formulae and the finite moment problem, Metody Vychisl. 11 (1978) 21-42 (in Russian).
-
(1978)
Metody Vychisl.
, vol.11
, pp. 21-42
-
-
Kuzmenkov, V.A.1
-
50
-
-
0040093809
-
Mehrdimensionale Hermite-Interpolation und numerische Integration
-
Möller H.M. Mehrdimensionale Hermite-Interpolation und numerische Integration. Math. Z. 148:1976;107-118.
-
(1976)
Math. Z.
, vol.148
, pp. 107-118
-
-
Möller, H.M.1
-
51
-
-
0000561999
-
Kubaturformeln mit minimaler Knotenzahl
-
Möller H.M. Kubaturformeln mit minimaler Knotenzahl. Numerische Mathematik. 25:1976;185-200.
-
(1976)
Numerische Mathematik
, vol.25
, pp. 185-200
-
-
Möller, H.M.1
-
52
-
-
26344471945
-
-
Springer, Berlin
-
H.M. Möller, Hermite Interpolation in Several Variables Using Ideal-Theoretic Methods, Lecture Notes in Mathematics, Vol. 571, Springer, Berlin, 1977, pp. 155-163.
-
(1977)
Hermite Interpolation in Several Variables Using Ideal-Theoretic Methods, Lecture Notes in Mathematics
, vol.571
, pp. 155-163
-
-
Möller, H.M.1
-
55
-
-
25944458914
-
On the construction of cubature formulae with few nodes using Gröbner bases
-
P. Keast, & G. Fairweather. Dordrecht: Reidel
-
Möller H.M. On the construction of cubature formulae with few nodes using Gröbner bases. Keast P., Fairweather G. Numerical Integration - Recent Developments, Software and Applications. 1987;177-192 Reidel, Dordrecht.
-
(1987)
Numerical Integration - Recent Developments, Software and Applications
, pp. 177-192
-
-
Möller, H.M.1
-
56
-
-
0011681217
-
Construction of algebraic cubature rules using polynomial ideal theory
-
Morrow C.R., Patterson T.N.L. Construction of algebraic cubature rules using polynomial ideal theory. SIAM J. Numer. Anal. 15:1978;953-976.
-
(1978)
SIAM J. Numer. Anal.
, vol.15
, pp. 953-976
-
-
Morrow, C.R.1
Patterson, T.N.L.2
-
57
-
-
0040687304
-
Proof of the minimality of the number of nodes in the cubature formula for a hypersphere
-
in Russian
-
I.P. Mysovskikh, Proof of the minimality of the number of nodes in the cubature formula for a hypersphere, Žh. Vyčisl. Mat. i Mat. Fiz. 6 (4) (1966) 621-630 (in Russian), USSR Math. Comp. 6 (4) (1966) 15-27.
-
(1966)
Žh. Vyčisl. Mat. I Mat. Fiz.
, vol.6
, Issue.4
, pp. 621-630
-
-
Mysovskikh, I.P.1
-
58
-
-
0039502141
-
-
I.P. Mysovskikh, Proof of the minimality of the number of nodes in the cubature formula for a hypersphere, Žh. Vyčisl. Mat. i Mat. Fiz. 6 (4) (1966) 621-630 (in Russian), USSR Math. Comp. 6 (4) (1966) 15-27.
-
(1966)
USSR Math. Comp.
, vol.6
, Issue.4
, pp. 15-27
-
-
-
59
-
-
0038909496
-
Radon's paper on the cubature formula
-
in Russian
-
I.P. Mysovskikh, Radon's paper on the cubature formula, Žh. Vyčisl. Mat. i Mat. Fiz. 7(4) (1967) 889-891 (in Russian), USSR Comp. Math. 7(4) (1967) 232-236.
-
(1967)
Žh. Vyčisl. Mat. I Mat. Fiz.
, vol.7
, Issue.4
, pp. 889-891
-
-
Mysovskikh, I.P.1
-
60
-
-
0040687320
-
-
I.P. Mysovskikh, Radon's paper on the cubature formula, Žh. Vyčisl. Mat. i Mat. Fiz. 7(4) (1967) 889-891 (in Russian), USSR Comp. Math. 7(4) (1967) 232-236.
-
(1967)
USSR Comp. Math.
, vol.7
, Issue.4
, pp. 232-236
-
-
-
61
-
-
0038909475
-
Construction of cubature formulae and orthogonal polynomials
-
in Russian
-
I.P. Mysovskikh, Construction of cubature formulae and orthogonal polynomials, Žh. Vyčisl. Mat. i Mat. Fiz. 7(1) (1967) 185-189 (in Russian), USSR Comp. Math. 7(1) (1967) 252-257.
-
(1967)
Žh. Vyčisl. Mat. I Mat. Fiz.
, vol.7
, Issue.1
, pp. 185-189
-
-
Mysovskikh, I.P.1
-
62
-
-
0040093792
-
-
I.P. Mysovskikh, Construction of cubature formulae and orthogonal polynomials, Žh. Vyčisl. Mat. i Mat. Fiz. 7(1) (1967) 185-189 (in Russian), USSR Comp. Math. 7(1) (1967) 252-257.
-
(1967)
USSR Comp. Math.
, vol.7
, Issue.1
, pp. 252-257
-
-
-
63
-
-
0040093803
-
On the construction of cubature formulas with fewest nodes
-
in Russian
-
I.P. Mysovskikh, On the construction of cubature formulas with fewest nodes, Dokl. Akad. Nauk SSSR 178 (1968) 1252-1254 (in Russian), Soviet Math. Dokl. 9 (1968) 277-280 (in English).
-
(1968)
Dokl. Akad. Nauk SSSR
, vol.178
, pp. 1252-1254
-
-
Mysovskikh, I.P.1
-
64
-
-
0040687311
-
-
in English
-
I.P. Mysovskikh, On the construction of cubature formulas with fewest nodes, Dokl. Akad. Nauk SSSR 178 (1968) 1252-1254 (in Russian), Soviet Math. Dokl. 9 (1968) 277-280 (in English).
-
(1968)
Soviet Math. Dokl.
, vol.9
, pp. 277-280
-
-
-
65
-
-
0040093786
-
Cubature formulae and orthogonal polynomials
-
in Russian
-
I.P. Mysovskikh, Cubature formulae and orthogonal polynomials, Žh. Vyčisl. Mat. i Mat. Fiz. 9(2) (1969) 419-425 (in Russian), USSR Comp. Math. 9(2) (1969) 217-228.
-
(1969)
Žh. Vyčisl. Mat. I Mat. Fiz.
, vol.9
, Issue.2
, pp. 419-425
-
-
Mysovskikh, I.P.1
-
66
-
-
0039502139
-
-
I.P. Mysovskikh, Cubature formulae and orthogonal polynomials, Žh. Vyčisl. Mat. i Mat. Fiz. 9(2) (1969) 419-425 (in Russian), USSR Comp. Math. 9(2) (1969) 217-228.
-
(1969)
USSR Comp. Math.
, vol.9
, Issue.2
, pp. 217-228
-
-
-
67
-
-
0040687306
-
Numerical characteristics of orthogonal polynomials in two variables
-
in Russian
-
I.P. Mysovskikh, Numerical characteristics of orthogonal polynomials in two variables, Vestnik Leningrad. Univ. Mat. 25 (1970) 46-53 (in Russian).
-
(1970)
Vestnik Leningrad. Univ. Mat.
, vol.25
, pp. 46-53
-
-
Mysovskikh, I.P.1
-
68
-
-
0039502137
-
A multidimensional analogon of quadrature formulae of Gaussian type and the generalised problem of Radon
-
in Russian
-
I.P. Mysovskih, A multidimensional analogon of quadrature formulae of Gaussian type and the generalised problem of Radon, Voprosy Vychisl. i Prikl. Mat., Tashkent 38 (1970) 55-69 (in Russian).
-
(1970)
Voprosy Vychisl. I Prikl. Mat., Tashkent
, vol.38
, pp. 55-69
-
-
Mysovskih, I.P.1
-
69
-
-
0040687307
-
On the paper: Cubature formulae and orthogonal polynomials
-
in Russian
-
I.P. Mysovskikh, On the paper: Cubature formulae and orthogonal polynomials, Žh. Vyčisl. Mat. i Mat. Fiz. 10(2) (1970) 444-447 (in Russian), USSR Comp. Math. 10(2) (1970) 219-223.
-
(1970)
Žh. Vyčisl. Mat. I Mat. Fiz.
, vol.10
, Issue.2
, pp. 444-447
-
-
Mysovskikh, I.P.1
-
70
-
-
0040687319
-
-
I.P. Mysovskikh, On the paper: Cubature formulae and orthogonal polynomials, Žh. Vyčisl. Mat. i Mat. Fiz. 10(2) (1970) 444-447 (in Russian), USSR Comp. Math. 10(2) (1970) 219-223.
-
(1970)
USSR Comp. Math.
, vol.10
, Issue.2
, pp. 219-223
-
-
-
71
-
-
0039502146
-
Application of orthogonal polynomials to construct cubature formulae
-
in Russian
-
I.P. Mysovskikh, Application of orthogonal polynomials to construct cubature formulae, Ž. Vyčisl. Mat. i Mat. Fiz. 12(2) (1972) 467-475 (in Russian), USSR Comp. Math. 12(2) (1972) 228-239.
-
(1972)
Ž. Vyčisl. Mat. I Mat. Fiz.
, vol.12
, Issue.2
, pp. 467-475
-
-
Mysovskikh, I.P.1
-
72
-
-
0040093811
-
-
I.P. Mysovskikh, Application of orthogonal polynomials to construct cubature formulae, Ž. Vyčisl. Mat. i Mat. Fiz. 12(2) (1972) 467-475 (in Russian), USSR Comp. Math. 12(2) (1972) 228-239.
-
(1972)
USSR Comp. Math.
, vol.12
, Issue.2
, pp. 228-239
-
-
-
74
-
-
0040687318
-
Orthogonal polynomials in several variables
-
in Russian
-
I.P. Mysovskikh, Orthogonal polynomials in several variables, Metody Vyčisl. 10 (1976) 26-35 (in Russian).
-
(1976)
Metody Vyčisl.
, vol.10
, pp. 26-35
-
-
Mysovskikh, I.P.1
-
75
-
-
0004183882
-
-
Nauka, Moscow, (in Russian)
-
I.P. Mysovskikh, Interpolatory Cubature Formulas, Nauka, Moscow, 1981 (in Russian), Interpolatorische Kubaturformeln, Institut für Geometrie und Praktische Mathematik der RWTH Aachen, Aachen, 1992, Bericht No. 74 (in German).
-
(1981)
Interpolatory Cubature Formulas
-
-
Mysovskikh, I.P.1
-
76
-
-
2142804078
-
-
Institut für Geometrie und Praktische Mathematik der RWTH Aachen, Aachen, Bericht No. 74 (in German)
-
I.P. Mysovskikh, Interpolatory Cubature Formulas, Nauka, Moscow, 1981 (in Russian), Interpolatorische Kubaturformeln, Institut für Geometrie und Praktische Mathematik der RWTH Aachen, Aachen, 1992, Bericht No. 74 (in German).
-
(1992)
Interpolatorische Kubaturformeln
-
-
-
77
-
-
0038909497
-
The answer to a question of Radon
-
in Russian
-
I.P. Mysovskikh, V. Ja. Cernicina, The answer to a question of Radon, Dokl. Akad. Nauk SSSR 198(3) (1971) (in Russian), Soviet Math. Dokl. 12 (1971) 852-854 (in English).
-
(1971)
Dokl. Akad. Nauk SSSR
, vol.198
, Issue.3
-
-
Mysovskikh, I.P.1
Cernicina, V.ja.2
-
78
-
-
0040093805
-
-
in English
-
I.P. Mysovskikh, V. Ja. Cernicina, The answer to a question of Radon, Dokl. Akad. Nauk SSSR 198(3) (1971) (in Russian), Soviet Math. Dokl. 12 (1971) 852-854 (in English).
-
(1971)
Soviet Math. Dokl.
, vol.12
, pp. 852-854
-
-
-
79
-
-
0001106444
-
Characterization of positive quadrature formulas
-
Peherstorfer F. Characterization of positive quadrature formulas. SIAM J. Math. Anal. 12:1981;935-942.
-
(1981)
SIAM J. Math. Anal.
, vol.12
, pp. 935-942
-
-
Peherstorfer, F.1
-
80
-
-
0000492494
-
Characterization of quadrature formulas II
-
Peherstorfer F. Characterization of quadrature formulas II. SIAM J. Math. Anal. 15:1984;1021-1030.
-
(1984)
SIAM J. Math. Anal.
, vol.15
, pp. 1021-1030
-
-
Peherstorfer, F.1
-
81
-
-
0040093790
-
Cubature formulas of degree nine for symmetric planar regions
-
Piessens R., Haegemans A. Cubature formulas of degree nine for symmetric planar regions. Math. Comp. 29:1975;810-815.
-
(1975)
Math. Comp.
, vol.29
, pp. 810-815
-
-
Piessens, R.1
Haegemans, A.2
-
82
-
-
0016515707
-
Cubature formulas of degree eleven for symmetric planar regions
-
Piessens R., Haegemans A. Cubature formulas of degree eleven for symmetric planar regions. J. Comput. Appl. Math. 1:1975;79-83.
-
(1975)
J. Comput. Appl. Math.
, vol.1
, pp. 79-83
-
-
Piessens, R.1
Haegemans, A.2
-
83
-
-
0000650242
-
Zur mechanischen Kubatur
-
Radon J. Zur mechanischen Kubatur. Monatsh. Math. 52:1948;286-300.
-
(1948)
Monatsh. Math.
, vol.52
, pp. 286-300
-
-
Radon, J.1
-
84
-
-
0040687314
-
On the question of numerical characteristics for orthogonal polynomials of two variables
-
in Russian
-
G.G. Rasputin, On the question of numerical characteristics for orthogonal polynomials of two variables, Metody Vyčisl. 13 (1983) 145-154 (in Russian).
-
(1983)
Metody Vyčisl.
, vol.13
, pp. 145-154
-
-
Rasputin, G.G.1
-
85
-
-
0038909485
-
Zur Konstruktion der Kubaturformel mit geradem agebraischen Grad und minimaler Knotenzahl
-
Rasputin G.G. Zur Konstruktion der Kubaturformel mit geradem agebraischen Grad und minimaler Knotenzahl. Wiss. Z. d. Päd. Hochsch. in Erfurt-Mühlhausen, Math.-Nat. Reihe. 23:1987;158-165.
-
(1987)
Wiss. Z. D. Päd. Hochsch. in Erfurt-Mühlhausen, Math.-Nat. Reihe
, vol.23
, pp. 158-165
-
-
Rasputin, G.G.1
-
86
-
-
0038909479
-
Une charactérisation des idéaux des varietés algébriques réelles
-
Risler J.J. Une charactérisation des idéaux des varietés algébriques réelles. Note aux CRAS, Paris. 272:1970;522, 531.
-
(1970)
Note Aux CRAS, Paris
, vol.272
, pp. 522
-
-
Risler, J.J.1
-
87
-
-
0040093791
-
Un Théorème de Zéroes en Géometrie Algébrique et Analytique Réelles
-
Springer, Berlin
-
J.J. Risler, Un Théorème de Zéroes en Géometrie Algébrique et Analytique Réelles, in: Lecture Notes in Mathematics, Vol. 409, Springer, Berlin, 1974, pp. 522-531.
-
(1974)
In: Lecture Notes in Mathematics
, vol.409
, pp. 522-531
-
-
Risler, J.J.1
-
88
-
-
0040687305
-
On cubature formulae with a minimal number of knots
-
Schmid H.J. On cubature formulae with a minimal number of knots. Numer. Math. 31:1978;282-297.
-
(1978)
Numer. Math.
, vol.31
, pp. 282-297
-
-
Schmid, H.J.1
-
89
-
-
0040093799
-
Interpolatorische Kubaturformeln und reelle Ideale
-
Schmid H.J. Interpolatorische Kubaturformeln und reelle Ideale. Math. Z. 170:1980;267-280.
-
(1980)
Math. Z.
, vol.170
, pp. 267-280
-
-
Schmid, H.J.1
-
90
-
-
0004018578
-
Interpolatorische Kubaturformeln
-
Schmid H.J. Interpolatorische Kubaturformeln. Diss. Math. CCXX:1983;1-122.
-
(1983)
Diss. Math.
, vol.220
, pp. 1-122
-
-
Schmid, H.J.1
-
92
-
-
21844493645
-
Two-dimensional minimal cubature formulas and matrix equations
-
Schmid H.J. Two-dimensional minimal cubature formulas and matrix equations. SIAM J. Matrix Anal. Appl. 16:1995;898-921.
-
(1995)
SIAM J. Matrix Anal. Appl.
, vol.16
, pp. 898-921
-
-
Schmid, H.J.1
-
93
-
-
84966200337
-
On bivariate Gaussian cubature formulae
-
Schmid H.J., Xu Y. On bivariate Gaussian cubature formulae. Proc. Amer. Math. Soc. 122:1994;833-841.
-
(1994)
Proc. Amer. Math. Soc.
, vol.122
, pp. 833-841
-
-
Schmid, H.J.1
Xu, Y.2
-
94
-
-
0000433498
-
Formulas of mechanical cubature on the surface of the sphere
-
in Russian
-
S.L. Sobolev, Formulas of mechanical cubature on the surface of the sphere, Sibirsk. Math. 3 (1962) 769-796 (in Russian).
-
(1962)
Sibirsk. Math.
, vol.3
, pp. 769-796
-
-
Sobolev, S.L.1
-
95
-
-
0011609889
-
-
Nauka Publishers, Moscow, (in Russian)
-
S.L. Sobolev, Introduction to Cubature Formulae, Nauka Publishers, Moscow, 1974 (in Russian), Cubature Formulas and Modern Analysis, Gordon and Breach Science Publishers, Philadelphia, PA, 1992, xvi + 379 pp. (in English).
-
(1974)
Introduction to Cubature Formulae
-
-
Sobolev, S.L.1
-
96
-
-
0003611123
-
-
Gordon and Breach Science Publishers, Philadelphia, PA, xvi + 379 pp. (in English)
-
S.L. Sobolev, Introduction to Cubature Formulae, Nauka Publishers, Moscow, 1974 (in Russian), Cubature Formulas and Modern Analysis, Gordon and Breach Science Publishers, Philadelphia, PA, 1992, xvi + 379 pp. (in English).
-
(1992)
Cubature Formulas and Modern Analysis
-
-
-
97
-
-
0003673526
-
-
Moskau, Nauka, (in Russian)
-
S.L. Sobolev, V.L. Vaskevich, The Theory of Cubature Formulas, Moskau, Nauka, 1996 (in Russian), Kluwer Academic Publishers, Dordrecht, 1997 (in English).
-
(1996)
The Theory of Cubature Formulas
-
-
Sobolev, S.L.1
Vaskevich, V.L.2
-
98
-
-
0040687283
-
-
Kluwer Academic Publishers, Dordrecht, (in English)
-
S.L. Sobolev, V.L. Vaskevich, The Theory of Cubature Formulas, Moskau, Nauka, 1996 (in Russian), Kluwer Academic Publishers, Dordrecht, 1997 (in English).
-
(1997)
-
-
-
99
-
-
0039502145
-
The number of weights of a quadrature formula
-
Sottas G., Wanner G. The number of weights of a quadrature formula. BIT. 22:1982;339-352.
-
(1982)
BIT
, vol.22
, pp. 339-352
-
-
Sottas, G.1
Wanner, G.2
-
100
-
-
0040093797
-
Integration formulas and orthogonal polynomials
-
Stroud A.H. Integration formulas and orthogonal polynomials. SIAM J. Numer. Anal. 4:1967;381-389.
-
(1967)
SIAM J. Numer. Anal.
, vol.4
, pp. 381-389
-
-
Stroud, A.H.1
-
101
-
-
0014521142
-
Integration formulas and orthogonal polynomials for two variables
-
Stroud A.H. Integration formulas and orthogonal polynomials for two variables. SIAM J. Numer. Anal. 6:1969;222-229.
-
(1969)
SIAM J. Numer. Anal.
, vol.6
, pp. 222-229
-
-
Stroud, A.H.1
-
102
-
-
0014798054
-
Integration formulas and orthogonal polynomials II
-
Stroud A.H. Integration formulas and orthogonal polynomials II. SIAM J. Numer. Anal. 7:1967;271-276.
-
(1967)
SIAM J. Numer. Anal.
, vol.7
, pp. 271-276
-
-
Stroud, A.H.1
-
105
-
-
0002074952
-
On cubature formulae of degree 4 k + 1 attaining Möller's lower bound for integrals with circular symmetry
-
Verlinden P., Cools R. On cubature formulae of degree. 4 k + 1 attaining Möller's lower bound for integrals with circular symmetry Numer. Math. 61:1992;395-407.
-
(1992)
Numer. Math.
, vol.61
, pp. 395-407
-
-
Verlinden, P.1
Cools, R.2
-
106
-
-
0347185339
-
On multivariate orthogonal polynomials
-
Xu Y. On multivariate orthogonal polynomials. SIAM J. Math. Anal. 24:1993;783-794.
-
(1993)
SIAM J. Math. Anal.
, vol.24
, pp. 783-794
-
-
Xu, Y.1
-
107
-
-
0003372202
-
Common zeros of polynomials in several variables and higher dimensional quadrature
-
Longman Scientific & Technical, Harlow
-
Y. Xu, Common zeros of polynomials in several variables and higher dimensional quadrature, Pitman Research Notes in Mathematics Series, Vol. 312, Longman Scientific & Technical, Harlow, 1994.
-
(1994)
Pitman Research Notes in Mathematics Series
, vol.312
-
-
Xu, Y.1
-
108
-
-
21344495829
-
Recurrence formulas for multivariate orthogonal polynomials
-
Xu Y. Recurrence formulas for multivariate orthogonal polynomials. Math. Comp. 62:1994;687-702.
-
(1994)
Math. Comp.
, vol.62
, pp. 687-702
-
-
Xu, Y.1
-
109
-
-
84968464964
-
A characterization of positive quadrature formulae
-
Xu Y. A characterization of positive quadrature formulae. Math. Comp. 62:1994;703-718.
-
(1994)
Math. Comp.
, vol.62
, pp. 703-718
-
-
Xu, Y.1
-
110
-
-
0040093798
-
Block Jacobi matrices and zeros of multivariate orthogonal polynomials
-
Xu Y. Block Jacobi matrices and zeros of multivariate orthogonal polynomials. Trans. Amer. Math. Soc. 342:1994;855-866.
-
(1994)
Trans. Amer. Math. Soc.
, vol.342
, pp. 855-866
-
-
Xu, Y.1
-
111
-
-
0000250992
-
On orthogonal polynomials in several variables
-
American Mathematical Society, Providence, RI
-
Y. Xu, On orthogonal polynomials in several variables, in: Special functions, q -series and related topics, The Fields Institute for Research in Mathematical Sciences, Communications Series, Vol. 14, American Mathematical Society, Providence, RI, 1997, pp. 247-270.
-
(1997)
In: Special Functions, Q -Series and Related Topics, the Fields Institute for Research in Mathematical Sciences, Communications Series
, vol.14
, pp. 247-270
-
-
Xu, Y.1
|