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de Boor, Carl

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Author ID: de-boor.carl Recent zbMATH articles by "de Boor, Carl"
Published as: De Boor, C.; De Boor, Carl; de Boor, C.; de Boor, C. R.; de Boor, Carl
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Documents Indexed: 166 Publications since 1962, including 11 Books
all top 5

Serials

25 Journal of Approximation Theory
10 SIAM Journal on Numerical Analysis
9 Mathematics of Computation
7 Constructive Approximation
7 Linear Algebra and its Applications
6 Proceedings of the American Mathematical Society
4 Transactions of the American Mathematical Society
4 Journal of Mathematics and Mechanics
3 ACM Transactions on Mathematical Software
3 Computer Aided Geometric Design
3 Applied Mathematical Sciences
2 Advances in Mathematics
2 Mathematische Zeitschrift
2 SIAM Journal on Scientific and Statistical Computing
2 Numerical Algorithms
2 SIAM Journal on Mathematical Analysis
2 Advances in Computational Mathematics
2 Journal of the Society for Industrial & Applied Mathematics
1 American Mathematical Monthly
1 Journal d’Analyse Mathématique
1 Journal of Mathematical Analysis and Applications
1 Mathematics Magazine
1 American Journal of Mathematics
1 Illinois Journal of Mathematics
1 Indiana University Mathematics Journal
1 Journal of Computational and Applied Mathematics
1 Journal of Functional Analysis
1 Journal of the London Mathematical Society. Second Series
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Advances in Applied Mathematics
1 Applied Numerical Mathematics
1 Approximation Theory and its Applications
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Journal of Elasticity
1 SIAM Review
1 Annals of Numerical Mathematics
1 Surveys in Approximation Theory (SAT)
1 Bulletin of the American Mathematical Society
1 Journal of Mathematics and Physics
1 Classics in Applied Mathematics
1 Proceedings of the Steklov Institute of Mathematics
1 Proceedings of Symposia in Applied Mathematics
1 Journal of Numerical Analysis and Approximation Theory

Publications by Year

Citations contained in zbMATH Open

149 Publications have been cited 5,401 times in 4,198 Documents Cited by Year
A practical guide to splines. Zbl 0406.41003
De Boor, Carl
1978
A practical guide to splines. Rev. ed. Zbl 0987.65015
De Boor, Carl
639
2001
On calculating with B-splines. Zbl 0239.41006
de Boor, Carl
276
1972
Elementary numerical analysis. An algorithmic approach. 3rd ed. Zbl 0496.65001
Conte, S. D.; de Boor, Carl
195
1980
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
190
1973
The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\). Zbl 0806.46030
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
169
1994
Box splines. Zbl 0814.41012
De Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
154
1993
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
140
1994
Spline approximation by quasiinterpolants. Zbl 0279.41008
de Boor, C.; Fix, G. J.
135
1973
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
111
1993
Elementary numerical analysis, an algorithmic approach. 2nd ed. Zbl 0257.65002
Conte, S. D.; de Boor, Carl
93
1972
B-splines from parallelepipeds. Zbl 0534.41007
de Boor, C.; Höllig, K.
92
1983
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
90
1987
Splines as linear combinations of B-splines. A survey. Zbl 0343.41011
de Boor, Carl
75
1976
The numerically stable reconstruction of a Jacobi matrix from spectral data. Zbl 0388.15010
de Boor, C.; Golub, G. H.
68
1978
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
58
1990
Good approximation by splines with variable knots. Zbl 0255.41007
de Boor, Carl
58
1973
Approximation by smooth multivariate splines. Zbl 0529.41010
de Boor, C.; DeVore, R.
49
1983
Divided differences. Zbl 1071.65027
de Boor, Carl
47
2005
Bicubic spline interpolation. Zbl 0108.27103
de Boor, C.
47
1962
On uniform approximation by splines. Zbl 0193.02502
de Boor, Carl
46
1968
Error bounds for spline interpolation. Zbl 0143.28503
Birkhoff, G.; de Boor, C.
44
1964
Rayleigh-Ritz approximation by piecewise cubic polynomials. Zbl 0143.38002
Birkhoff, G.; de Boor, C.; Swartz, B.; Wendroff, B.
38
1966
Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation. Zbl 0412.41002
De Boor, Carl; Pinkus, Allan
37
1978
A bound on the \(L_\infty\)-norm of \(L_2\)-approximation by splines in terms of a global mesh ratio. Zbl 0345.65004
de Boor, Carl
37
1976
Piecewise polynomial interpolation and approximation. Zbl 0136.04703
Birkhoff, G.; de Boor, C. R.
37
1965
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
36
1992
Computational aspects of polynomial interpolation in several variables. Zbl 0767.41003
De Boor, Carl; Ron, Amos
36
1992
Bivariate box splines and smooth pp functions on a three direction mesh. Zbl 0521.41009
de Boor, C.; Hoellig, K.
36
1983
On splines and their minimum properties. Zbl 0185.20501
de Boor, C.; Lynch, R. E.
34
1966
On the convergence of odd-degree spline interpolation. Zbl 0174.09902
de Boor, C.
33
1968
Package for calculating with B-splines. Zbl 0364.65008
de Boor, Carl
31
1977
Backward error analysis for totally positive linear systems. Zbl 0336.65020
de Boor, Carl; Pinkus, Allan
30
1977
Best approximation properties of spline functions of odd degree. Zbl 0116.27601
de Boor, C.
30
1963
The approximation of a totally positive band matrix by a strictly banded totally positive one. Zbl 0479.15015
de Boor, Carl
29
1982
The least solution for the polynomial interpolation problem. Zbl 0735.41001
de Boor, Carl; Ron, Amos
27
1992
The quasi-interpolant as a tool in elementary polynomial spline theory. Zbl 0317.41007
de Boor, Carl
27
1973
Cutting corners always works. Zbl 0637.41014
de Boor, Carl
26
1987
Controlled approximation and a characterization of the local approximation order. Zbl 0592.41027
de Boor, C.; Jia, R.-Q.
25
1985
The polynomials in the linear span of integer translates of a compactly supported function. Zbl 0624.41013
de Boor, Carl
24
1987
Bivariate cardinal interpolation by splines on a three-direction mesh. Zbl 0586.41005
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
24
1985
Piecewise monotone interpolation. Zbl 0367.41001
de Boor, Carl; Swartz, Blair
24
1977
On polynomial ideals of finite codimension with applications to box spline theory. Zbl 0743.41013
De Boor, Carl; Ron, Amos
23
1991
Good approximation by splines with variable knots. II. Zbl 0343.65005
de Boor, Carl
23
1974
On ’best’ interpolation. Zbl 0314.41001
de Boor, Carl
22
1976
Approximation order from bivariate \(C^ 1\)-cubics: A counterexample. Zbl 0545.41017
de Boor, C.; Höllig, K.
21
1983
Cardinal interpolation and spline functions VIII. The Budan-Fourier theorem for splines and applications. Zbl 0319.41010
de Boor, Carl; Schoenberg, I. J.
21
1976
A remark concerning perfect splines. Zbl 0286.41010
de Boor, Carl
21
1974
On bounding spline interpolation. Zbl 0302.41006
de Boor, Carl
19
1975
Ideal interpolation. Zbl 1126.41003
de Boor, Carl
18
2005
Fundamental solutions for multivariate difference equations. Zbl 0679.39001
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
18
1989
Total positivity of the spline collocation matrix. Zbl 0311.41008
de Boor, Carl
18
1976
Approximation power of smooth bivariate pp functions. Zbl 0616.41010
de Boor, C.; Höllig, K.
17
1988
Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021
De Boor, Carl; Rice, John R.
17
1982
Efficient computer manipulation of tensor products. Zbl 0405.65011
de Boor, Carl
17
1979
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
16
1998
Bounding the error in spline interpolation. Zbl 0272.65006
de Boor, Carl
16
1974
The exponentials in the span of the multiinteger translates of a compactly supported function; quasiinterpolation and approximation order. Zbl 0757.41012
de Boor, Carl; Ron, Amos
15
1992
On local linear functionals which vanish at all B-splines but one. Zbl 0346.41007
de Boor, Carl
15
1976
A sharp upper bound on the approximation order of smooth bivariate pp functions. Zbl 0784.41010
de Boor, C.; Jia, R. Q.
14
1993
Multivariate piecewise polynomials. Zbl 0796.41009
de Boor, C.
13
1993
Partitions of unity and approximation. Zbl 0547.41007
de Boor, Carl; DeVore, Ronald R.
13
1985
Recurrence relations for multivariate B-splines. Zbl 0506.41008
de Boor, Carl; Hoellig, Klaus
13
1982
Collocation approximation to eigenvalues of an ordinary differential equation: The principle of the thing. Zbl 0444.65053
De Boor, Carl; Swartz, Blair
13
1980
Quasiinterpolants and approximation power of multivariate splines. Zbl 0694.41018
de Boor, Carl
12
1990
A geometric proof of total positivity for spline interpolation. Zbl 0599.41021
de Boor, C.; DeVore, R.
12
1985
How does Agee’s smoothing method work? Zbl 0449.65004
De Boor, Carl
12
1979
On the approximation by \(\gamma\)-polynomials. Zbl 0273.41014
de Boor, Carl
12
1969
Multivariate polynomial interpolation: conjectures concerning GC-sets. Zbl 1123.41003
de Boor, Carl
11
2007
Finite sequences of orthogonal polynomials connected by a Jacobi matrix. Zbl 0614.65035
de Boor, Carl; Saff, Edward B.
11
1986
How small can one make the derivatives of an interpolating function? Zbl 0293.41007
de Boor, Carl
11
1975
On the evaluation of box splines. Zbl 0798.65012
de Boor, Carl
10
1993
On two polynomial spaces associated with a box spline. Zbl 0678.41009
de Boor, Carl; Dyn, Nira; Ron, Amos
10
1991
The exact condition of the B-spline basis may be hard to determine. Zbl 0687.41011
de Boor, Carl
10
1990
Convergence of cardinal series. Zbl 0624.41023
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
10
1986
Convergence of abstract splines. Zbl 0477.41012
De Boor, Carl
10
1981
Dichotomies for band matrices. Zbl 0453.15002
de Boor, Carl
10
1980
On the cardinal spline interpolant to \(e^{iut}\). Zbl 0341.41008
de Boor, Carl
10
1976
On cubic spline functions that vanish at all knots. Zbl 0326.41010
de Boor, Carl
10
1976
On local spline approximation by moments. Zbl 0162.08402
de Boor, C.
10
1968
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
9
1998
The error in polynomial tensor-product, and Chung-Yao, interpolation. Zbl 1133.41314
de Boor, Carl
9
1997
An adaptive algorithm for multivariate approximation giving optimal convergence rates. Zbl 0411.41008
De Boor, Carl; Rice, John R.
9
1979
On calculating with B-splines. II: Integration. Zbl 0338.65002
de Boor, Carl; Lyche, Tom; Schumaker, Larry L.
9
1976
Quadratic spline interpolation and the sharpness of Lebesgue’s inequality. Zbl 0338.41014
de Boor, Carl
9
1976
Odd-degree spline interpolation at a biinfinite knot sequence. Zbl 0337.41004
de Boor, Carl
9
1976
On the pointwise limits of bivariate Lagrange projectors. Zbl 1149.41017
De Boor, C.; Shekhtman, B.
8
2008
A naive proof of the representation theorem for isotropic, linear asymmetric stress-strain relations. Zbl 0582.73021
de Boor, Carl
8
1985
The stability of one-step schemes for first-order two-point boundary value problems. Zbl 0529.65052
de Boor, C.; de Hoog, F.; Keller, H. B.
8
1983
SOLVEBLOK: A package for solving almost block diagonal linear systems. Zbl 0434.65013
De Boor, Carl; Weiss, Richard
8
1980
Mathematical aspects of finite elements in partial differential equations. Proceedings of a symposium conducted by the Mathematics Research Center, The University of Wisconsin, Madison April 1-3, 1974. Zbl 0324.00023
de Boor, Carl (ed.)
8
1974
Interpolation from spaces spanned by monomials. Zbl 1116.65009
de Boor, C.
7
2007
Computational aspects of multivariate polynomial interpolation: Indexing the coefficients. Zbl 0944.41002
de Boor, Carl
7
2000
Chebyshev approximation by a \(\Pi(x-r_ i)/(x+s_ i)\) and application to ADI iteration. Zbl 0116.04503
de Boor, C.; Rice, J. R.
7
1963
An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order. Zbl 1075.41020
de Boor, Carl
6
2005
Local corner cutting and the smoothness of the limiting curve. Zbl 0704.65008
de Boor, Carl
6
1990
On the condition of the linear systems associate with discretized BVPs of ODEs. Zbl 0613.65085
de Boor, C.; Kreiss, H.-O.
6
1986
What is the main diagonal of a biinfinite band matrix? Zbl 0457.41014
De Boor, Carl
6
1980
A multivariate divided difference. Zbl 1137.41302
de Boor, C.
5
1995
Approximation order without quasi-interpolants. Zbl 0767.41002
de Boor, Carl
5
1993
Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. Zbl 1392.65002
Conte, S. D.; de Boor, Carl
2
2018
On the (bi)infinite case of Shadrin’s theorem concerning the \(L_{\infty}\)-boundedness of the \(L_{2}\)-spline projector. Zbl 1298.41016
de Boor, Carl
4
2012
The way things were in multivariate splines: a personal view. Zbl 1202.41006
de Boor, Carl
2
2009
Multivariate polynomial interpolation: Aitken-Neville sets and generalized principal lattices. Zbl 1181.41006
de Boor, Carl
2
2009
On the pointwise limits of bivariate Lagrange projectors. Zbl 1149.41017
De Boor, C.; Shekhtman, B.
8
2008
Box splines revisited: Convergence and acceleration methods for the subdivision and the cascade algorithms. Zbl 1162.65068
de Boor, Carl; Ron, Amos
1
2008
Multivariate polynomial interpolation: conjectures concerning GC-sets. Zbl 1123.41003
de Boor, Carl
11
2007
Interpolation from spaces spanned by monomials. Zbl 1116.65009
de Boor, C.
7
2007
Ideal interpolation: Mourrain’s condition vs. \(D\)-invariance. Zbl 1348.41005
de Boor, C.
2
2006
Divided differences. Zbl 1071.65027
de Boor, Carl
47
2005
Ideal interpolation. Zbl 1126.41003
de Boor, Carl
18
2005
An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order. Zbl 1075.41020
de Boor, Carl
6
2005
The B-spline recurrence relations of Chakalov and of Popoviciu. Zbl 1028.41009
de Boor, Carl; Pinkus, Allan
2
2003
A divided difference expansion of a divided difference. Zbl 1022.65024
de Boor, Carl
2
2003
A Leibniz formula for multivariate divided differences. Zbl 1053.41006
de Boor, Carl
1
2003
A practical guide to splines. Rev. ed. Zbl 0987.65015
De Boor, Carl
639
2001
Calculation of the smoothing spline with weighted roughness measure. Zbl 1012.65013
de Boor, Carl
2
2001
Computational aspects of multivariate polynomial interpolation: Indexing the coefficients. Zbl 0944.41002
de Boor, Carl
7
2000
Polynomial interpolation to data on flats in \(\mathbb{R}^d\). Zbl 0960.41003
de Boor, Carl; Dyn, Nira; Ron, Amos
3
2000
On Pták’s derivation of the Jordan normal form. Zbl 0974.15004
de Boor, Carl
3
2000
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
16
1998
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
9
1998
The error in polynomial tensor-product, and Chung-Yao, interpolation. Zbl 1133.41314
de Boor, Carl
9
1997
The multiplicity of a spline zero. Zbl 0887.41013
de Boor, Carl
1
1997
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. Zbl 0999.47001
de Boor, Carl; Ron, Amos; Shen, Zuowei
4
1996
On ascertaining inductively the dimension of the joint kernel of certain commuting linear operators. II. Zbl 0917.47001
de Boor, Carl; Ron, Amos; Shen, Zuowei
2
1996
On the Sauer-Xu formula for the error in multivariate polynomial interpolation. Zbl 0852.41003
De Boor, Carl
1
1996
A multivariate divided difference. Zbl 1137.41302
de Boor, C.
5
1995
The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\). Zbl 0806.46030
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
169
1994
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
140
1994
Gauss elimination by segments and multivariate polynomial interpolation. Zbl 0851.65008
de Boor, C.
3
1994
Box splines. Zbl 0814.41012
De Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
154
1993
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
111
1993
A sharp upper bound on the approximation order of smooth bivariate pp functions. Zbl 0784.41010
de Boor, C.; Jia, R. Q.
14
1993
Multivariate piecewise polynomials. Zbl 0796.41009
de Boor, C.
13
1993
On the evaluation of box splines. Zbl 0798.65012
de Boor, Carl
10
1993
Approximation order without quasi-interpolants. Zbl 0767.41002
de Boor, Carl
5
1993
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
36
1992
Computational aspects of polynomial interpolation in several variables. Zbl 0767.41003
De Boor, Carl; Ron, Amos
36
1992
The least solution for the polynomial interpolation problem. Zbl 0735.41001
de Boor, Carl; Ron, Amos
27
1992
The exponentials in the span of the multiinteger translates of a compactly supported function; quasiinterpolation and approximation order. Zbl 0757.41012
de Boor, Carl; Ron, Amos
15
1992
On the error in multivariate polynomial interpolation. Zbl 0759.41001
De Boor, C.
5
1992
On polynomial ideals of finite codimension with applications to box spline theory. Zbl 0743.41013
De Boor, Carl; Ron, Amos
23
1991
On two polynomial spaces associated with a box spline. Zbl 0678.41009
de Boor, Carl; Dyn, Nira; Ron, Amos
10
1991
An alternative approach to (the teaching of) rank, basis, and dimension. Zbl 0724.15003
de Boor, Carl
1
1991
Box-spline tilings. Zbl 0742.41013
de Boor, Carl; Höllig, Klaus
1
1991
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
58
1990
Quasiinterpolants and approximation power of multivariate splines. Zbl 0694.41018
de Boor, Carl
12
1990
The exact condition of the B-spline basis may be hard to determine. Zbl 0687.41011
de Boor, Carl
10
1990
Local corner cutting and the smoothness of the limiting curve. Zbl 0704.65008
de Boor, Carl
6
1990
Splinefunktionen. Zbl 0719.41013
de Boor, Carl
1
1990
Fundamental solutions for multivariate difference equations. Zbl 0679.39001
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
18
1989
A local basis for certain smooth bivariate pp spaces. Zbl 0682.41046
de Boor, Carl
3
1989
Polynomial ideals and multivariate splines. Zbl 0682.41023
de Boor, Carl; Ron, Amos
2
1989
Approximation power of smooth bivariate pp functions. Zbl 0616.41010
de Boor, C.; Höllig, K.
17
1988
The condition of the B-spline basis for polynomials. Zbl 0651.41005
de Boor, Carl
3
1988
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
90
1987
Cutting corners always works. Zbl 0637.41014
de Boor, Carl
26
1987
The polynomials in the linear span of integer translates of a compactly supported function. Zbl 0624.41013
de Boor, Carl
24
1987
Minimal support for bivariate splines. Zbl 0682.41022
de Boor, C.; Höllig, K.
2
1987
Some qualitative properties of bivariate Euler-Frobenius polynomials. Zbl 0635.41012
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
2
1987
Finite sequences of orthogonal polynomials connected by a Jacobi matrix. Zbl 0614.65035
de Boor, Carl; Saff, Edward B.
11
1986
Convergence of cardinal series. Zbl 0624.41023
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
10
1986
On the condition of the linear systems associate with discretized BVPs of ODEs. Zbl 0613.65085
de Boor, C.; Kreiss, H.-O.
6
1986
Stability of finite difference schemes for two-point boundary value problems. Zbl 0603.65056
de Boor, C.; de Hoog, F.
1
1986
Controlled approximation and a characterization of the local approximation order. Zbl 0592.41027
de Boor, C.; Jia, R.-Q.
25
1985
Bivariate cardinal interpolation by splines on a three-direction mesh. Zbl 0586.41005
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
24
1985
Partitions of unity and approximation. Zbl 0547.41007
de Boor, Carl; DeVore, Ronald R.
13
1985
A geometric proof of total positivity for spline interpolation. Zbl 0599.41021
de Boor, C.; DeVore, R.
12
1985
A naive proof of the representation theorem for isotropic, linear asymmetric stress-strain relations. Zbl 0582.73021
de Boor, Carl
8
1985
Convergence of bivariate cardinal interpolation. Zbl 0606.41004
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
3
1985
The limits of multivariate cardinal splines. Zbl 0571.41008
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
2
1985
On bivariate cardinal interpolation. Zbl 0596.41006
de Boor, C.; Höllig, K.; Riemenschneider, S. D.
1
1984
B-splines from parallelepipeds. Zbl 0534.41007
de Boor, C.; Höllig, K.
92
1983
Approximation by smooth multivariate splines. Zbl 0529.41010
de Boor, C.; DeVore, R.
49
1983
Bivariate box splines and smooth pp functions on a three direction mesh. Zbl 0521.41009
de Boor, C.; Hoellig, K.
36
1983
Approximation order from bivariate \(C^ 1\)-cubics: A counterexample. Zbl 0545.41017
de Boor, C.; Höllig, K.
21
1983
The stability of one-step schemes for first-order two-point boundary value problems. Zbl 0529.65052
de Boor, C.; de Hoog, F.; Keller, H. B.
8
1983
Approximation order from smooth bivariate pp functions. Zbl 0538.41013
de Boor, C.; DeVore, R.; Höllig, K.
2
1983
The approximation of a totally positive band matrix by a strictly banded totally positive one. Zbl 0479.15015
de Boor, Carl
29
1982
Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021
De Boor, Carl; Rice, John R.
17
1982
Recurrence relations for multivariate B-splines. Zbl 0506.41008
de Boor, Carl; Hoellig, Klaus
13
1982
Structure of invertible (bi)infinite totally positive matrices. Zbl 0504.15014
de Boor, C.; Jia, Rong-qing; Pinkus, A.
5
1982
The inverse of a totally positive bi-infinite band matrix. Zbl 0502.47014
De Boor, Carl
5
1982
Inverses of infinite sign regular matrices. Zbl 0502.47015
De Boor, C.; Friedland, S.; Pinkus, A.
4
1982
Topics in multivariate approximation theory. Zbl 0501.41001
de Boor, C.
3
1982
Convergence of abstract splines. Zbl 0477.41012
De Boor, Carl
10
1981
Local piecewise polynomial projection methods for an O.D.E. which give high-order convergence at knots. Zbl 0456.65056
de Boor, Carl; Swartz, Blair
5
1981
Collocation approximation to eigenvalues of an ordinary differential equation: Numerical illustrations. Zbl 0456.65055
de Boor, Carl; Swartz, Blair
3
1981
On a max-norm bound for the least-squares spline approximant. Zbl 0487.41014
de Boor, C.
2
1981
Elementary numerical analysis. An algorithmic approach. 3rd ed. Zbl 0496.65001
Conte, S. D.; de Boor, Carl
195
1980
Collocation approximation to eigenvalues of an ordinary differential equation: The principle of the thing. Zbl 0444.65053
De Boor, Carl; Swartz, Blair
13
1980
Dichotomies for band matrices. Zbl 0453.15002
de Boor, Carl
10
1980
SOLVEBLOK: A package for solving almost block diagonal linear systems. Zbl 0434.65013
De Boor, Carl; Weiss, Richard
8
1980
What is the main diagonal of a biinfinite band matrix? Zbl 0457.41014
De Boor, Carl
6
1980
FFT as nested multiplication, with a twist. Zbl 0459.65098
De Boor, Carl
4
1980
Mixed norm n-widths. Zbl 0458.41018
De Boor, C.; Devore, R.; Höllig, K.
1
1980
ALGORITHM 546: SOLVEBLOK \([F4]\). Zbl 0434.65014
De Boor, Carl; Weiss, Richard
1
1980
Efficient computer manipulation of tensor products. Zbl 0405.65011
de Boor, Carl
17
1979
How does Agee’s smoothing method work? Zbl 0449.65004
De Boor, Carl
12
1979
...and 49 more Documents
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Cited by 5,188 Authors

43 de Boor, Carl
37 Chui, Charles Kam-tai
34 Ron, Amos
34 Sbibih, Driss
34 Speleers, Hendrik
33 Manni, Carla
29 Peña, Juan Manuel
27 Micchelli, Charles A.
25 Sangalli, Giancarlo
23 Dyn, Nira
23 Wang, Renhong
22 Sablonnière, Paul
22 Ward, Joseph Dinneen
21 Dahmen, Wolfgang A.
21 Lian, Heng
20 Dagnino, Catterina
20 Floater, Michael S.
20 Jia, Rong-Qing
20 Shen, Zuowei
19 Lyche, Tom
19 Peters, Jorg
19 Yang, Lijian
18 Höllig, Klaus H.
18 Ibáñez, María J.
17 Barrera, Domingo
17 Schumaker, Larry L.
17 Tijini, Ahmed
16 Goodman, Timothy N. T.
16 Hughes, Thomas J. R.
16 Lai, Mingjun
16 Smith, Philip W.
15 Buffa, Annalisa
15 Jia, Rongqing
15 Kobza, Jiří
14 Bownik, Marcin
14 Carnicer, Jésus Miguel
14 Lim, Jae Kun
14 Sauer, Tomas
13 Cabrelli, Carlos A.
13 Farouki, Rida T.
13 Johnson, Michael James
13 Li, Chin-Shang
13 Liang, Hua
13 Shekhtman, Boris
13 Sun, Qiyu
12 Beirão da Veiga, Lourenço
12 Dierckx, Paul
12 García, Antonio G.
12 Garoni, Carlo
12 Ghosal, Subhashis
12 Kim, Hong Oh
12 Kozak, Jernej
12 Lang, Feng-Gong
12 Remogna, Sara
12 Wu, Zongmin
11 Dehghan Takht Fooladi, Mehdi
11 Jüttler, Bert
11 Kohler, Michael
11 Li, Yunzhang
11 Ma, Shujie
11 Nürnberger, Günther
11 Pelosi, Francesca
11 Pérez-Villalón, Gerardo
11 Serghini, Abdelhafid
11 Serra-Capizzano, Stefano
11 Skopina, Maria A.
11 Stöckler, Joachim
11 Unser, Michael A.
11 Xu, Xiaoping
11 Yang, Hu
10 Calo, Victor Manuel
10 Cramer, Erhard
10 Han, Bin
10 Huang, Jianhua Z.
10 Jaklič, Gašper
10 Kim, Rae Young
10 Krajnc, Marjeta
10 Paternostro, Victoria
10 Riemenschneider, Sherman D.
10 Russell, Robert D.
10 Sampoli, Maria Lucia
10 Tahrichi, Mohamed
10 Varga, Richard Steven
10 Verhoosel, Clemens V.
10 Zhang, Shugong
10 Zidna, Ahmed
9 Abbas, Muhammad
9 Cao, Jiguo
9 de Borst, René
9 Geum, Young Hee
9 Giannelli, Carlotta
9 Jetter, Kurt
9 Kilgore, Theodore A.
9 Kim, Young Ik
9 Sestini, Alessandra
9 Volkov, Yuriĭ Stepanovich
9 Xu, Yuesheng
8 Bialecki, Bernard
8 Böhm, Wolfgang
8 Buhmann, Martin Dietrich
...and 5,088 more Authors
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Cited in 477 Serials

300 Journal of Computational and Applied Mathematics
294 Journal of Approximation Theory
223 Computer Aided Geometric Design
145 Applied Mathematics and Computation
133 Computer Methods in Applied Mechanics and Engineering
124 Numerische Mathematik
109 Journal of Computational Physics
99 Mathematics of Computation
97 Applied and Computational Harmonic Analysis
91 Computers & Mathematics with Applications
91 Computational Statistics and Data Analysis
88 Linear Algebra and its Applications
75 Journal of Mathematical Analysis and Applications
73 Constructive Approximation
64 Advances in Computational Mathematics
59 Applied Numerical Mathematics
59 Numerical Algorithms
53 BIT
42 Computing
41 Journal of Multivariate Analysis
39 Journal of Statistical Planning and Inference
33 International Journal for Numerical Methods in Engineering
32 Computer Physics Communications
32 Mathematics and Computers in Simulation
31 The Journal of Fourier Analysis and Applications
31 Journal of Nonparametric Statistics
28 The Annals of Statistics
28 Transactions of the American Mathematical Society
28 International Journal of Computer Mathematics
27 Proceedings of the American Mathematical Society
26 Computational Statistics
24 Applied Mathematical Modelling
22 Journal of Scientific Computing
22 Electronic Journal of Statistics
21 Statistics & Probability Letters
21 Journal of Statistical Computation and Simulation
19 Calcolo
19 Statistics and Computing
18 Journal of Optimization Theory and Applications
18 Numerical Functional Analysis and Optimization
18 European Journal of Operational Research
18 International Journal of Wavelets, Multiresolution and Information Processing
17 Computers and Fluids
17 Journal of Functional Analysis
17 Communications in Statistics. Theory and Methods
17 Engineering Analysis with Boundary Elements
16 International Journal for Numerical Methods in Fluids
15 Annals of the Institute of Statistical Mathematics
15 Communications in Statistics. Simulation and Computation
15 Test
14 Applied Mathematics Letters
14 SIAM Journal on Scientific Computing
13 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
13 Automatica
13 Science China. Mathematics
12 Applicable Analysis
12 Journal of Complexity
12 Journal of Systems Science and Complexity
11 Journal of the American Statistical Association
11 SIAM Journal on Numerical Analysis
11 Acta Mathematica Sinica. English Series
10 Bulletin of the Australian Mathematical Society
10 Results in Mathematics
10 Computational Mechanics
10 Statistical Papers
9 Mathematical Biosciences
9 Journal of Econometrics
9 Numerical Methods for Partial Differential Equations
9 Applied Mathematics. Series B (English Edition)
9 Journal of Applied Mathematics and Computing
9 Proceedings of the Steklov Institute of Mathematics
8 Linear and Multilinear Algebra
8 Mathematical Notes
8 Mathematische Zeitschrift
8 Acta Applicandae Mathematicae
8 Applications of Mathematics
8 Computational Mathematics and Mathematical Physics
8 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
8 BIT. Nordisk Tidskrift for Informationsbehandling
8 The Annals of Applied Statistics
7 International Journal of Systems Science
7 ZAMP. Zeitschrift für angewandte Mathematik und Physik
7 Acta Mathematica Hungarica
7 Acta Mathematicae Applicatae Sinica. English Series
7 Mathematical and Computer Modelling
7 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
7 Journal of Mathematical Sciences (New York)
7 Journal of Applied Statistics
7 Mediterranean Journal of Mathematics
6 Acta Mechanica
6 International Journal of Control
6 Journal of the Franklin Institute
6 Journal of Mathematical Physics
6 Metrika
6 Psychometrika
6 Scandinavian Journal of Statistics
6 Ukrainian Mathematical Journal
6 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM)
6 Advances in Mathematics
6 Fuzzy Sets and Systems
...and 377 more Serials
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Cited in 59 Fields

2,271 Numerical analysis (65-XX)
1,307 Approximations and expansions (41-XX)
648 Statistics (62-XX)
398 Harmonic analysis on Euclidean spaces (42-XX)
285 Partial differential equations (35-XX)
204 Ordinary differential equations (34-XX)
178 Mechanics of deformable solids (74-XX)
174 Fluid mechanics (76-XX)
153 Computer science (68-XX)
118 Linear and multilinear algebra; matrix theory (15-XX)
118 Functional analysis (46-XX)
106 Operations research, mathematical programming (90-XX)
103 Integral equations (45-XX)
102 Information and communication theory, circuits (94-XX)
98 Operator theory (47-XX)
76 Systems theory; control (93-XX)
74 Biology and other natural sciences (92-XX)
73 Probability theory and stochastic processes (60-XX)
71 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
60 Calculus of variations and optimal control; optimization (49-XX)
51 Real functions (26-XX)
41 Dynamical systems and ergodic theory (37-XX)
40 Combinatorics (05-XX)
40 Mechanics of particles and systems (70-XX)
38 Commutative algebra (13-XX)
38 Special functions (33-XX)
37 Quantum theory (81-XX)
35 Difference and functional equations (39-XX)
34 Functions of a complex variable (30-XX)
33 Differential geometry (53-XX)
31 Statistical mechanics, structure of matter (82-XX)
30 Geophysics (86-XX)
28 Abstract harmonic analysis (43-XX)
27 Classical thermodynamics, heat transfer (80-XX)
25 Optics, electromagnetic theory (78-XX)
22 Convex and discrete geometry (52-XX)
17 Number theory (11-XX)
16 Algebraic geometry (14-XX)
15 Integral transforms, operational calculus (44-XX)
14 History and biography (01-XX)
13 Field theory and polynomials (12-XX)
13 Potential theory (31-XX)
11 Geometry (51-XX)
10 Topological groups, Lie groups (22-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 General and overarching topics; collections (00-XX)
7 Group theory and generalizations (20-XX)
7 Measure and integration (28-XX)
6 Associative rings and algebras (16-XX)
6 Several complex variables and analytic spaces (32-XX)
6 Astronomy and astrophysics (85-XX)
5 Sequences, series, summability (40-XX)
4 Mathematical logic and foundations (03-XX)
2 \(K\)-theory (19-XX)
2 General topology (54-XX)
2 Relativity and gravitational theory (83-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Nonassociative rings and algebras (17-XX)
1 Mathematics education (97-XX)

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