-
1
-
-
0022756968
-
Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree d > 4r+1
-
P. ALFELD, B. PIPER, AND L. L. SCHUMAKER, Minimally supported bases for spaces of bivariate piecewise polynomials of smoothness r and degree d > 4r+1, Comput. Aided Geom. Design, 4 (1987), pp. 105-123.
-
(1987)
Comput. Aided Geom. Design
, vol.4
, pp. 105-123
-
-
Alfeld, P.1
Piper, B.2
Schumaker, L.L.3
-
2
-
-
0016939764
-
On the angle condition in the finite element method
-
I. BABUŠKA AND A. K. AZIZ, On the angle condition in the finite element method, SIAM J. Numer. Anal., 13 (1976), pp. 214-226.
-
(1976)
SIAM J. Numer. Anal.
, vol.13
, pp. 214-226
-
-
Babuška, I.1
Aziz, A.K.2
-
3
-
-
0003360898
-
Interpolation spaces. An introduction
-
Springer-Verlag, Berlin, New York
-
J. BERGH AND J. LÖFSTRÖM, Interpolation Spaces. An Introduction, Grundlehren Math. Wiss. 223, Springer-Verlag, Berlin, New York, 1976.
-
(1976)
Grundlehren Math. Wiss.
, pp. 223
-
-
Bergh, J.1
Löfström, J.2
-
4
-
-
0003357801
-
Interpolation of operators
-
Academic Press, Boston
-
C. BENNETT AND R. SHARPLEY, Interpolation of Operators, Pure Appl. Math. 129, Academic Press, Boston, 1988.
-
(1988)
Pure Appl. Math.
, pp. 129
-
-
Bennett, C.1
Sharpley, R.2
-
6
-
-
2442525542
-
Adaptive finite element methods with convergence rates
-
RWTH Aachen, Aachen, Germany
-
P. BINEV, W. DAHMEN, AND R. DEVORE, Adaptive Finite Element Methods with Convergence Rates, IGPM Report 219, RWTH Aachen, Aachen, Germany, 2002, http://elc2.igpm.rwth-aachen.de/~dahmen/.
-
(2002)
IGPM Report 219
-
-
Binev, P.1
Dahmen, W.2
Devore, R.3
-
7
-
-
2442589629
-
Approximation classes for adaptive methods
-
P. BINEV, W. DAHMEN, R. DEVORE, AND P. PETRUSHEV, Approximation classes for adaptive methods, Serdica Math. J., 28 (2002), pp. 391-416.
-
(2002)
Serdica Math. J.
, vol.28
, pp. 391-416
-
-
Binev, P.1
Dahmen, W.2
Devore, R.3
Petrushev, P.4
-
8
-
-
0000141069
-
Approximation power of smooth bivariate pp functions
-
C. DE BOOR AND K. HÖLLIG, Approximation power of smooth bivariate pp functions, Math. Z., 197 (1988), pp. 343-363.
-
(1988)
Math. Z.
, vol.197
, pp. 343-363
-
-
De Boor, C.1
Höllig, K.2
-
9
-
-
0004107687
-
-
Springer-Verlag, New York
-
C. DE BOOR, K. HÖLLIG, AND S. D. RIEMENSCHNEIDER, Box Splines, Springer-Verlag, New York, 1993.
-
(1993)
Box Splines
-
-
De Boor, C.1
Höllig, K.2
Riemenschneider, S.D.3
-
10
-
-
0011613235
-
A sharp upper bound on the approximation order of smooth bivariate pp functions
-
C. DE BOOR AND R. Q. JIA, A sharp upper bound on the approximation order of smooth bivariate pp functions, J. Approx. Theory, 72 (1993), pp. 24-33.
-
(1993)
J. Approx. Theory
, vol.72
, pp. 24-33
-
-
De Boor, C.1
Jia, R.Q.2
-
12
-
-
0003210742
-
The mathematical theory of finite element methods
-
Springer-Verlag, New York
-
S. BRENNER AND L. R. SCOTT, The Mathematical Theory of Finite Element Methods, Texts Appl. Math. 15, Springer-Verlag, New York, 1994.
-
(1994)
Texts Appl. Math.
, pp. 15
-
-
Brenner, S.1
Scott, L.R.2
-
13
-
-
21144439249
-
Cubic spline prewavelets on the four-directional mesh
-
M. D. BUHMANN, O. DAVYDOV, AND T. N. T. GOODMAN, Cubic spline prewavelets on the four-directional mesh, Found. Comp. Math., 3 (2003), pp. 113-133.
-
(2003)
Found. Comp. Math.
, vol.3
, pp. 113-133
-
-
Buhmann, M.D.1
Davydov, O.2
Goodman, T.N.T.3
-
16
-
-
0001663185
-
Stability of optimal order approximation by bivariate splines over arbitrary triangulations
-
C. K. CHUI, D. HONG, AND R.-Q. JIA, Stability of optimal order approximation by bivariate splines over arbitrary triangulations, Trans. Amer. Math. Soc., 347 (1995), pp. 3301-3318.
-
(1995)
Trans. Amer. Math. Soc.
, vol.347
, pp. 3301-3318
-
-
Chui, C.K.1
Hong, D.2
Jia, R.-Q.3
-
17
-
-
38249019229
-
Multivariate vertex splines and finite elements
-
C. K. CHUI AND M.-J. LAI, Multivariate vertex splines and finite elements, J. Approx. Theory, 60 (1990), pp. 245-343.
-
(1990)
J. Approx. Theory
, vol.60
, pp. 245-343
-
-
Chui, C.K.1
Lai, M.-J.2
-
18
-
-
0007157878
-
On bivariate super vertex splines
-
C. K. CHUI AND M.-J. LAI, On bivariate super vertex splines, Constr. Approx., 6 (1990), pp. 399-419.
-
(1990)
Constr. Approx.
, vol.6
, pp. 399-419
-
-
Chui, C.K.1
Lai, M.-J.2
-
19
-
-
0001180710
-
On the local linear independence of translates of a box spline
-
W. DAHMEN AND C. A. MICCHELLI, On the local linear independence of translates of a box spline, Studia Math., 82 (1985), pp. 243-262.
-
(1985)
Studia Math.
, vol.82
, pp. 243-262
-
-
Dahmen, W.1
Micchelli, C.A.2
-
21
-
-
0000930347
-
Element-by-element construction of wavelets satisfying stability and moment conditions
-
W. DAHMEN AND R. STEVENSON, Element-by-element construction of wavelets satisfying stability and moment conditions, SIAM J. Numer. Anal., 37 (1999), pp. 319-352.
-
(1999)
SIAM J. Numer. Anal.
, vol.37
, pp. 319-352
-
-
Dahmen, W.1
Stevenson, R.2
-
22
-
-
0345978401
-
Stable local bases for multivariate spline spaces
-
O. DAVYDOV, Stable local bases for multivariate spline spaces, J. Approx. Theory, 111 (2001), pp. 267-297.
-
(2001)
J. Approx. Theory
, vol.111
, pp. 267-297
-
-
Davydov, O.1
-
23
-
-
2442470589
-
On the computation of stable local bases for bivariate polynomial splines
-
K. Kopotun, T. Lyche, and M. Neamtu, eds., Vanderbilt University Press, Nashville, TN
-
O. DAVYDOV, On the computation of stable local bases for bivariate polynomial splines, in Trends in Approximation Theory, K. Kopotun, T. Lyche, and M. Neamtu, eds., Vanderbilt University Press, Nashville, TN, 2001, pp. 85-94.
-
(2001)
Trends in Approximation Theory
, pp. 85-94
-
-
Davydov, O.1
-
24
-
-
2442633857
-
Locally stable spline bases on nested triangulations
-
C. K. Chui, L. L. Schumaker, and J. Stöckler, eds., Vanderbilt University Press, Nashville, TN
-
O. DAVYDOV, Locally stable spline bases on nested triangulations, in Approximation Theory X: Wavelets, Splines, and Applications, C. K. Chui, L. L. Schumaker, and J. Stöckler, eds., Vanderbilt University Press, Nashville, TN, 2002, pp. 231-240.
-
(2002)
Approximation Theory X: Wavelets, Splines, and Applications
, pp. 231-240
-
-
Davydov, O.1
-
25
-
-
0035531925
-
Bivariate spline interpolation with optimal approximation order
-
O. DAVYDOV, G. NÜRNBERGER, AND F. ZEILFELDER, Bivariate spline interpolation with optimal approximation order, Constr. Approx., 17 (2001), pp. 181-208.
-
(2001)
Constr. Approx.
, vol.17
, pp. 181-208
-
-
Davydov, O.1
Nürnberger, G.2
Zeilfelder, F.3
-
26
-
-
0042741557
-
1 bivariate polynomial splines
-
A. Cohen, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN
-
1 bivariate polynomial splines, in Curve and Surface Fitting: Saint-Malo 1999, A. Cohen, C. Rabut, and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN, 2000, pp. 171-180.
-
(2000)
Curve and Surface Fitting: Saint-Malo 1999
, pp. 171-180
-
-
Davydov, O.1
Schumaker, L.L.2
-
27
-
-
0036114081
-
On stable local bases for bivariate polynomial spline spaces
-
O. DAVYDOV AND L. L. SCHUMAKER, On stable local bases for bivariate polynomial spline spaces, Constr. Approx., 18 (2002), pp. 87-116.
-
(2002)
Constr. Approx.
, vol.18
, pp. 87-116
-
-
Davydov, O.1
Schumaker, L.L.2
-
28
-
-
85087240553
-
Scattered data fitting by direct extension of local polynomials with bivariate splines
-
to appear
-
O. DAVYDOV AND F. ZEILFELDER, Scattered data fitting by direct extension of local polynomials with bivariate splines, Adv. Comput. Math., to appear.
-
Adv. Comput. Math.
-
-
Davydov, O.1
Zeilfelder, F.2
-
29
-
-
0001220724
-
Compression of wavelet decompositions
-
R. DEVORE, B. JAWERTH, AND V. POPOV, Compression of wavelet decompositions, Amer. J. Math., 114 (1992), pp. 737-785.
-
(1992)
Amer. J. Math.
, vol.114
, pp. 737-785
-
-
Devore, R.1
Jawerth, B.2
Popov, V.3
-
30
-
-
0001790641
-
d)
-
A. A. Gonchar and E. B. Saff, eds., Springer-Verlag, New York
-
d), in Progress in Approximation Theory, A. A. Gonchar and E. B. Saff, eds., Springer-Verlag, New York, 1992, pp. 261-283.
-
(1992)
Progress in Approximation Theory
, pp. 261-283
-
-
Devore, R.1
Petrushev, P.2
Yu, X.3
-
31
-
-
0001604851
-
Interpolation spaces and nonlinear approximation
-
(Lund), Lecture Notes in Math. 1302, Springer-Verlag, Berlin
-
R. DEVORE AND V. POPOV, Interpolation spaces and nonlinear approximation, in Function Spaces and Applications (Lund, 1986), Lecture Notes in Math. 1302, Springer-Verlag, Berlin, 1988, pp. 191-205.
-
(1986)
Function Spaces and Applications
, pp. 191-205
-
-
Devore, R.1
Popov, V.2
-
32
-
-
84966241361
-
Interpolation of Besov spaces
-
R. DEVORE AND V. POPOV, Interpolation of Besov spaces, Trans. Amer. Math. Soc., 305 (1988), pp. 297-314.
-
(1988)
Trans. Amer. Math. Soc.
, vol.305
, pp. 297-314
-
-
Devore, R.1
Popov, V.2
-
33
-
-
0040788494
-
Multiresolution analysis over triangles, based on quadratic Hermite interpolation
-
M. DÆHLEN, T. LYCHE, K. MØRKEN, R. SCHNEIDER, AND H.-P. SEIDEL, Multiresolution analysis over triangles, based on quadratic Hermite interpolation, J. Comput. Appl. Math., 119 (2000), pp. 97-114.
-
(2000)
J. Comput. Appl. Math.
, vol.119
, pp. 97-114
-
-
Dæhlen, M.1
Lyche, T.2
MØrken, K.3
Schneider, R.4
Seidel, H.-P.5
-
34
-
-
0034454406
-
Linear independence and stability of piecewise linear prewavelets on arbitrary triangulations
-
M. S. FLOATER AND E. G. QUAK, Linear independence and stability of piecewise linear prewavelets on arbitrary triangulations, SIAM J. Numer. Anal., 38 (2000), pp. 58-79.
-
(2000)
SIAM J. Numer. Anal.
, vol.38
, pp. 58-79
-
-
Floater, M.S.1
Quak, E.G.2
-
35
-
-
0002547173
-
Spaces of bivariate spline functions over triangulation
-
D. HONG, Spaces of bivariate spline functions over triangulation, Approx. Theory Appl., 7 (1991), pp. 56-75.
-
(1991)
Approx. Theory Appl.
, vol.7
, pp. 56-75
-
-
Hong, D.1
-
36
-
-
0000459863
-
Super spline spaces of smoothness r and degree d > 3r + 2
-
A. KH. IBRAHIM AND L. L. SCHUMAKER, Super spline spaces of smoothness r and degree d > 3r + 2, Constr. Approx., 7 (1991), pp. 401-423.
-
(1991)
Constr. Approx.
, vol.7
, pp. 401-423
-
-
Ibrahim, A.Kh.1
Schumaker, L.L.2
-
37
-
-
2442575607
-
On dual basis of bivariate box spline
-
W. JIANZHONG, On dual basis of bivariate box spline, Approx. Theory Appl., 3 (1987), pp. 153-163.
-
(1987)
Approx. Theory Appl.
, vol.3
, pp. 153-163
-
-
Jianzhong, W.1
-
38
-
-
0242665503
-
Nonlinear piecewise polynomial approximation beyond Besov spaces
-
to appear
-
B. KARAIVANOV AND P. PETRUSHEV, Nonlinear piecewise polynomial approximation beyond Besov spaces, Appl. Comput. Harmon. Anal., to appear.
-
Appl. Comput. Harmon. Anal.
-
-
Karaivanov, B.1
Petrushev, P.2
-
39
-
-
0037790992
-
Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects
-
B. KARAIVANOV, P. PETRUSHEV, AND R. SHARPLEY, Algorithms for nonlinear piecewise polynomial approximation: Theoretical aspects, Trans. Amer. Math. Soc., 355 (2003), pp. 2585-2631.
-
(2003)
Trans. Amer. Math. Soc.
, vol.355
, pp. 2585-2631
-
-
Karaivanov, B.1
Petrushev, P.2
Sharpley, R.3
-
41
-
-
2442577892
-
A remark on translates of a box spline
-
M.-J. LAI, A remark on translates of a box spline, Approx. Theory Appl., 5 (1989), pp. 97-104.
-
(1989)
Approx. Theory Appl.
, vol.5
, pp. 97-104
-
-
Lai, M.-J.1
-
42
-
-
0028413419
-
1-cubics on a four-directional mesh is full
-
1-cubics on a four-directional mesh is full, Comput. Aided Geom. Design, 11 (1994), pp. 215-223.
-
(1994)
Comput. Aided Geom. Design
, vol.11
, pp. 215-223
-
-
Lai, M.-J.1
-
43
-
-
2442523498
-
Bivariate spline spaces on FVS-triangulations
-
C. K. Chui and L. L. Schumaker, eds., World Scientific, Singapore
-
M.-J. LAI, Bivariate spline spaces on FVS-triangulations, in Approximation Theory VIII, Vol. 1: Approximation and Interpolation, C. K. Chui and L. L. Schumaker, eds., World Scientific, Singapore, 1995, pp. 309-316.
-
(1995)
Approximation Theory VIII, Vol. 1: Approximation and Interpolation
, vol.1
, pp. 309-316
-
-
Lai, M.-J.1
-
44
-
-
0009616148
-
On the approximation power of bivariate splines
-
M.-J. LAI AND L. L. SCHUMAKER, On the approximation power of bivariate splines, Adv. Comput. Math., 9 (1998), pp. 251-279.
-
(1998)
Adv. Comput. Math.
, vol.9
, pp. 251-279
-
-
Lai, M.-J.1
Schumaker, L.L.2
-
45
-
-
0000675744
-
On the approximation power of splines on triangulated quadrangulations
-
M.-J. LAI AND L. L. SCHUMAKER, On the approximation power of splines on triangulated quadrangulations, SIAM J. Numer. Anal., 36 (1999), pp. 143-159.
-
(1999)
SIAM J. Numer. Anal.
, vol.36
, pp. 143-159
-
-
Lai, M.-J.1
Schumaker, L.L.2
-
47
-
-
2442468945
-
Theory and algorithms for non-uniform spline wavelets
-
N. Dyn, D. Leviatan, D. Levin, and A. Pinkus, eds., Cambridge University Press, Cambridge, UK
-
T. LYCHE, K. MORKEN, AND E. QUAK, Theory and algorithms for non-uniform spline wavelets, in Multivariate Approximation and Applications, N. Dyn, D. Leviatan, D. Levin, and A. Pinkus, eds., Cambridge University Press, Cambridge, UK, 2001, pp, 152-187.
-
(2001)
Multivariate Approximation and Applications
, pp. 152-187
-
-
Lyche, T.1
Morken, K.2
Quak, E.3
-
48
-
-
84966234880
-
1 piecewise polynomials of degree n ≥ 5
-
1 piecewise polynomials of degree n ≥ 5, Math. Comp., 29 (1975), pp. 736-740.
-
(1975)
Math. Comp.
, vol.29
, pp. 736-740
-
-
Morgan, J.1
Scott, R.2
-
49
-
-
2442469819
-
1 cubic splines
-
T. Lyche and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN
-
1 cubic splines, in Mathematical Methods in CAGD: Oslo 2000, T. Lyche and L. L. Schumaker, eds., Vanderbilt University Press, Nashville, TN, 2001, pp. 393-404.
-
(2001)
Mathematical Methods in CAGD: Oslo 2000
, pp. 393-404
-
-
Nürnberger, G.1
Schumaker, L.L.2
Zeilfelder, F.3
-
50
-
-
0026985238
-
Hierarchical conforming finite element methods for the biharmonic equation
-
P. OSWALD, Hierarchical conforming finite element methods for the biharmonic equation, SIAM J. Numer. Anal., 29 (1992), pp. 1610-1625.
-
(1992)
SIAM J. Numer. Anal.
, vol.29
, pp. 1610-1625
-
-
Oswald, P.1
-
52
-
-
0000400863
-
Interpolation of normed Abelian groups
-
J. PEETRE AND G. SPARR, Interpolation of normed Abelian groups, Ann. Mat. Pura Appl. (4), 92 (1972), pp. 217-262.
-
(1972)
Ann. Mat. Pura Appl.
, vol.92
, Issue.1
, pp. 217-262
-
-
Peetre, J.1
Sparr, G.2
-
53
-
-
0001843451
-
Direct and converse theorems for rational and spline approximation and Besov spaces
-
(Lund), Lecture Notes in Math. 1302, Springer-Verlag, Berlin
-
P. PETRUSHEV, Direct and converse theorems for rational and spline approximation and Besov spaces, in Function Spaces and Applications (Lund, 1986), Lecture Notes in Math. 1302, Springer-Verlag, Berlin, 1988, pp. 363-377.
-
(1986)
Function Spaces and Applications
, pp. 363-377
-
-
Petrushev, P.1
-
54
-
-
0037357249
-
Multivariate n-term rational and piecewise polynomial approximation
-
P. PETRUSHEV, Multivariate n-term rational and piecewise polynomial approximation, J. Approx. Theory, 121 (2003), pp. 158-197.
-
(2003)
J. Approx. Theory
, vol.121
, pp. 158-197
-
-
Petrushev, P.1
-
56
-
-
0029721051
-
Quasi-interpolants associated with H-splines on a three direction mesh
-
P. SABLONNIÈRE, Quasi-interpolants associated with H-splines on a three direction mesh, J. Comput. Appl. Math., 66 (1996), pp. 433-442.
-
(1996)
J. Comput. Appl. Math.
, vol.66
, pp. 433-442
-
-
Sablonnière, P.1
-
57
-
-
0001383268
-
On super splines and finite elements
-
L. L. SCHUMAKER, On super splines and finite elements, SIAM J. Numer. Anal., 26 (1989), pp. 997-1005.
-
(1989)
SIAM J. Numer. Anal.
, vol.26
, pp. 997-1005
-
-
Schumaker, L.L.1
-
58
-
-
0005115956
-
Piecewise linear (pre-)wavelets on non-uniform meshes
-
V. W. Hackbusch and G. Wittum, eds., Springer-Verlag, Berlin
-
R. STEVENSON, Piecewise linear (pre-)wavelets on non-uniform meshes, in Multigrid Methods, V. W. Hackbusch and G. Wittum, eds., Springer-Verlag, Berlin, 1998, pp. 306-319.
-
(1998)
Multigrid Methods
, pp. 306-319
-
-
Stevenson, R.1
|