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Author ID: de-boor.carl Recent zbMATH articles by "de Boor, Carl"
Published as: de Boor, Carl; de Boor, C.; De Boor, Carl; De Boor, C.; de Boor, C. R.
Further Spellings: de Boor, Carl-Wilhelm Reinhold
External Links: MGP · Wikidata · dblp · GND · IdRef
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 Mathematical Notes
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 Oberwolfach Reports
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 Publications of the Mathematics Research Center, The University of Wisconsin - Madison
1 Journal of Numerical Analysis and Approximation Theory

Publications by Year

Citations contained in zbMATH Open

154 Publications have been cited 6,725 times in 5,316 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
922
2001
On calculating with B-splines. Zbl 0239.41006
de Boor, Carl
339
1972
Collocation at Gaussian points. Zbl 0232.65065
de Boor, Carl; Swartz, Blair
217
1973
Box splines. Zbl 0814.41012
De Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
203
1993
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
186
1994
Elementary numerical analysis. An algorithmic approach. 3rd ed. Zbl 0496.65001
Conte, S. D.; de Boor, Carl
178
1980
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
162
1994
Spline approximation by quasiinterpolants. Zbl 0279.41008
de Boor, C.; Fix, G. J.
158
1973
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
119
1993
Splines as linear combinations of B-splines. A survey. Zbl 0343.41011
de Boor, Carl
107
1976
Elementary numerical analysis, an algorithmic approach. 2nd ed. Zbl 0257.65002
Conte, S. D.; de Boor, Carl
105
1972
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
99
1987
B-splines from parallelepipeds. Zbl 0534.41007
de Boor, C.; Höllig, K.
96
1983
Good approximation by splines with variable knots. Zbl 0255.41007
de Boor, Carl
84
1973
The numerically stable reconstruction of a Jacobi matrix from spectral data. Zbl 0388.15010
de Boor, C.; Golub, G. H.
75
1978
On multivariate polynomial interpolation. Zbl 0719.41006
de Boor, Carl; Ron, Amos
68
1990
Divided differences. Zbl 1071.65027
de Boor, Carl
62
2005
Approximation by smooth multivariate splines. Zbl 0529.41010
de Boor, C.; DeVore, R.
55
1983
Bicubic spline interpolation. Zbl 0108.27103
de Boor, C.
54
1962
Good approximation by splines with variable knots. II. Zbl 0343.65005
de Boor, Carl
53
1974
On the convergence of odd-degree spline interpolation. Zbl 0174.09902
de Boor, C.
50
1968
On uniform approximation by splines. Zbl 0193.02502
de Boor, Carl
49
1968
Error bounds for spline interpolation. Zbl 0143.28503
Birkhoff, G.; de Boor, C.
47
1964
The quasi-interpolant as a tool in elementary polynomial spline theory. Zbl 0317.41007
de Boor, Carl
46
1973
Piecewise polynomial interpolation and approximation. Zbl 0136.04703
Birkhoff, G.; de Boor, C. R.
46
1965
On splines and their minimum properties. Zbl 0185.20501
de Boor, C.; Lynch, R. E.
45
1966
Computational aspects of polynomial interpolation in several variables. Zbl 0767.41003
De Boor, Carl; Ron, Amos
44
1992
Rayleigh-Ritz approximation by piecewise cubic polynomials. Zbl 0143.38002
Birkhoff, G.; de Boor, C.; Swartz, B.; Wendroff, B.
44
1966
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
42
1974
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
40
1992
Proof of the conjectures of Bernstein and Erdős concerning the optimal nodes for polynomial interpolation. Zbl 0412.41002
De Boor, Carl; Pinkus, Allan
40
1978
Best approximation properties of spline functions of odd degree. Zbl 0116.27601
de Boor, C.
40
1963
Bivariate box splines and smooth pp functions on a three direction mesh. Zbl 0521.41009
de Boor, C.; Hoellig, K.
38
1983
Package for calculating with B-splines. Zbl 0364.65008
de Boor, Carl
37
1977
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
35
1976
Quasiinterpolants and approximation power of multivariate splines. Zbl 0694.41018
de Boor, Carl
31
1990
The approximation of a totally positive band matrix by a strictly banded totally positive one. Zbl 0479.15015
de Boor, Carl
30
1982
The least solution for the polynomial interpolation problem. Zbl 0735.41001
de Boor, Carl; Ron, Amos
30
1992
Backward error analysis for totally positive linear systems. Zbl 0336.65020
de Boor, Carl; Pinkus, Allan
30
1977
The polynomials in the linear span of integer translates of a compactly supported function. Zbl 0624.41013
de Boor, Carl
28
1987
Cutting corners always works. Zbl 0637.41014
de Boor, Carl
28
1987
Controlled approximation and a characterization of the local approximation order. Zbl 0592.41027
de Boor, C.; Jia, R.-Q.
26
1985
Ideal interpolation. Zbl 1126.41003
de Boor, Carl
26
2005
On ’best’ interpolation. Zbl 0314.41001
de Boor, Carl
26
1976
Bivariate cardinal interpolation by splines on a three-direction mesh. Zbl 0586.41005
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
25
1985
On polynomial ideals of finite codimension with applications to box spline theory. Zbl 0743.41013
De Boor, Carl; Ron, Amos
25
1991
Approximation order from bivariate \(C^ 1\)-cubics: A counterexample. Zbl 0545.41017
de Boor, C.; Höllig, K.
25
1983
Piecewise monotone interpolation. Zbl 0367.41001
de Boor, Carl; Swartz, Blair
24
1977
Total positivity of the spline collocation matrix. Zbl 0311.41008
de Boor, Carl
22
1976
A remark concerning perfect splines. Zbl 0286.41010
de Boor, Carl
22
1974
On local linear functionals which vanish at all B-splines but one. Zbl 0346.41007
de Boor, Carl
22
1976
Efficient computer manipulation of tensor products. Zbl 0405.65011
de Boor, Carl
22
1979
On bounding spline interpolation. Zbl 0302.41006
de Boor, Carl
20
1975
Cardinal interpolation and spline functions VIII. The Budan-Fourier theorem for splines and applications. Zbl 0319.41010
de Boor, Carl; Schoenberg, I. J.
20
1976
Approximation power of smooth bivariate pp functions. Zbl 0616.41010
de Boor, C.; Höllig, K.
19
1988
Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021
De Boor, Carl; Rice, John R.
19
1982
On the approximation by \(\gamma\)-polynomials. Zbl 0273.41014
de Boor, Carl
18
1969
Fundamental solutions for multivariate difference equations. Zbl 0679.39001
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
18
1989
Multivariate polynomial interpolation: conjectures concerning GC-sets. Zbl 1123.41003
de Boor, Carl
18
2007
Finite sequences of orthogonal polynomials connected by a Jacobi matrix. Zbl 0614.65035
de Boor, Carl; Saff, Edward B.
17
1986
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
17
1998
Bounding the error in spline interpolation. Zbl 0272.65006
de Boor, Carl
16
1974
A sharp upper bound on the approximation order of smooth bivariate pp functions. Zbl 0784.41010
de Boor, C.; Jia, R. Q.
15
1993
How small can one make the derivatives of an interpolating function? Zbl 0293.41007
de Boor, Carl
15
1975
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
Odd-degree spline interpolation at a biinfinite knot sequence. Zbl 0337.41004
de Boor, Carl
15
1976
How does Agee’s smoothing method work? Zbl 0449.65004
De Boor, Carl
15
1979
Multivariate piecewise polynomials. Zbl 0796.41009
de Boor, C.
14
1993
Collocation approximation to eigenvalues of an ordinary differential equation: The principle of the thing. Zbl 0444.65053
De Boor, Carl; Swartz, Blair
14
1980
On the evaluation of box splines. Zbl 0798.65012
de Boor, Carl
13
1993
Recurrence relations for multivariate B-splines. Zbl 0506.41008
de Boor, Carl; Hoellig, Klaus
13
1982
A geometric proof of total positivity for spline interpolation. Zbl 0599.41021
de Boor, C.; DeVore, R.
13
1985
Partitions of unity and approximation. Zbl 0547.41007
de Boor, Carl; DeVore, Ronald R.
13
1985
Convergence of abstract splines. Zbl 0477.41012
De Boor, Carl
13
1981
On two polynomial spaces associated with a box spline. Zbl 0678.41009
de Boor, Carl; Dyn, Nira; Ron, Amos
12
1991
On the pointwise limits of bivariate Lagrange projectors. Zbl 1149.41017
De Boor, C.; Shekhtman, B.
12
2008
On local spline approximation by moments. Zbl 0162.08402
de Boor, C.
12
1968
The error in polynomial tensor-product, and Chung-Yao, interpolation. Zbl 1133.41314
de Boor, Carl
11
1997
On cubic spline functions that vanish at all knots. Zbl 0326.41010
de Boor, Carl
11
1976
On calculating with B-splines. II: Integration. Zbl 0338.65002
de Boor, Carl; Lyche, Tom; Schumaker, Larry L.
11
1976
On the cardinal spline interpolant to \(e^{iut}\). Zbl 0341.41008
de Boor, Carl
11
1976
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
11
1998
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
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
10
1980
Splines with nonnegative B-spline coefficients. Zbl 0278.41014
de Boor, C.; Daniel, James W.
9
1974
Quadratic spline interpolation and the sharpness of Lebesgue’s inequality. Zbl 0338.41014
de Boor, Carl
9
1976
An adaptive algorithm for multivariate approximation giving optimal convergence rates. Zbl 0411.41008
De Boor, Carl; Rice, John R.
9
1979
An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order. Zbl 1075.41020
de Boor, Carl
8
2005
Appendix to ”Splines and histograms” by I. J. Schoenberg. Zbl 0274.41005
de Boor, Carl
8
1973
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
A naive proof of the representation theorem for isotropic, linear asymmetric stress-strain relations. Zbl 0582.73021
de Boor, Carl
8
1985
A smooth and local interpolant with small \(k\)-th derivative. Zbl 0317.65003
de Boor, Carl
8
1975
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.
8
1963
Selected papers. Volume 2. Edited by Carl de Boor. Zbl 0933.01033
Schoenberg, I. J.
7
1988
Computational aspects of multivariate polynomial interpolation: Indexing the coefficients. Zbl 0944.41002
de Boor, Carl
7
2000
On a max-norm bound for the least-squares spline approximant. Zbl 0487.41014
de Boor, C.
7
1981
The inverse of a totally positive bi-infinite band matrix. Zbl 0502.47014
De Boor, Carl
7
1982
Elementary numerical analysis. An algorithmic approach. Updated with MATLAB. Reprint of the third edition 1980. Zbl 1392.65002
Conte, S. D.; de Boor, Carl
5
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
6
2012
George G. Lorentz (1910-2006). Zbl 1159.01301
de Boor, Carl; Nevai, Paul
2
2009
Multivariate polynomial interpolation: Aitken-Neville sets and generalized principal lattices. Zbl 1181.41006
de Boor, Carl
2
2009
The way things were in multivariate splines: a personal view. Zbl 1202.41006
de Boor, Carl
2
2009
On the pointwise limits of bivariate Lagrange projectors. Zbl 1149.41017
De Boor, C.; Shekhtman, B.
12
2008
Box splines revisited: Convergence and acceleration methods for the subdivision and the cascade algorithms. Zbl 1162.65068
de Boor, Carl; Ron, Amos
2
2008
Multivariate polynomial interpolation: conjectures concerning GC-sets. Zbl 1123.41003
de Boor, Carl
18
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
62
2005
Ideal interpolation. Zbl 1126.41003
de Boor, Carl
26
2005
An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order. Zbl 1075.41020
de Boor, Carl
8
2005
The B-spline recurrence relations of Chakalov and of Popoviciu. Zbl 1028.41009
de Boor, Carl; Pinkus, Allan
4
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
922
2001
Calculation of the smoothing spline with weighted roughness measure. Zbl 1012.65013
de Boor, Carl
3
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
4
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.
17
1998
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
11
1998
The error in polynomial tensor-product, and Chung-Yao, interpolation. Zbl 1133.41314
de Boor, Carl
11
1997
The multiplicity of a spline zero. Zbl 0887.41013
de Boor, Carl
1
1997
On the Meir/Sharma/Hall/Meyer analysis of the spline interpolation error. Zbl 1032.41006
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
186
1994
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
162
1994
Gauss elimination by segments and multivariate polynomial interpolation. Zbl 0851.65008
de Boor, C.
4
1994
Box splines. Zbl 0814.41012
De Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
203
1993
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
119
1993
A sharp upper bound on the approximation order of smooth bivariate pp functions. Zbl 0784.41010
de Boor, C.; Jia, R. Q.
15
1993
Multivariate piecewise polynomials. Zbl 0796.41009
de Boor, C.
14
1993
On the evaluation of box splines. Zbl 0798.65012
de Boor, Carl
13
1993
Approximation order without quasi-interpolants. Zbl 0767.41002
de Boor, Carl
5
1993
Computational aspects of polynomial interpolation in several variables. Zbl 0767.41003
De Boor, Carl; Ron, Amos
44
1992
Fourier analysis of the approximation power of principal shift-invariant spaces. Zbl 0801.41027
de Boor, Carl; Ron, Amos
40
1992
The least solution for the polynomial interpolation problem. Zbl 0735.41001
de Boor, Carl; Ron, Amos
30
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.
6
1992
On polynomial ideals of finite codimension with applications to box spline theory. Zbl 0743.41013
De Boor, Carl; Ron, Amos
25
1991
On two polynomial spaces associated with a box spline. Zbl 0678.41009
de Boor, Carl; Dyn, Nira; Ron, Amos
12
1991
An alternative approach to (the teaching of) rank, basis, and dimension. Zbl 0724.15003
de Boor, Carl
4
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
68
1990
Quasiinterpolants and approximation power of multivariate splines. Zbl 0694.41018
de Boor, Carl
31
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
6
1990
Fundamental solutions for multivariate difference equations. Zbl 0679.39001
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
18
1989
Polynomial ideals and multivariate splines. Zbl 0682.41023
de Boor, Carl; Ron, Amos
4
1989
A local basis for certain smooth bivariate pp spaces. Zbl 0682.41046
de Boor, Carl
4
1989
Approximation power of smooth bivariate pp functions. Zbl 0616.41010
de Boor, C.; Höllig, K.
19
1988
Selected papers. Volume 2. Edited by Carl de Boor. Zbl 0933.01033
Schoenberg, I. J.
7
1988
Selected papers. Volume 1. Edited by Carl de Boor. Zbl 0933.01032
Schoenberg, I. J.
7
1988
The condition of the B-spline basis for polynomials. Zbl 0651.41005
de Boor, Carl
4
1988
What is a multivariate spline? Zbl 0667.41008
de Boor, Carl
1
1988
High accuracy geometric Hermite interpolation. Zbl 0646.65004
de Boor, Carl; Höllig, Klaus; Sabin, Malcolm
99
1987
The polynomials in the linear span of integer translates of a compactly supported function. Zbl 0624.41013
de Boor, Carl
28
1987
Cutting corners always works. Zbl 0637.41014
de Boor, Carl
28
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.
17
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.
7
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.
26
1985
Bivariate cardinal interpolation by splines on a three-direction mesh. Zbl 0586.41005
de Boor, Carl; Höllig, Klaus; Riemenschneider, Sherman
25
1985
A geometric proof of total positivity for spline interpolation. Zbl 0599.41021
de Boor, C.; DeVore, R.
13
1985
Partitions of unity and approximation. Zbl 0547.41007
de Boor, Carl; DeVore, Ronald R.
13
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.
96
1983
Approximation by smooth multivariate splines. Zbl 0529.41010
de Boor, C.; DeVore, R.
55
1983
Bivariate box splines and smooth pp functions on a three direction mesh. Zbl 0521.41009
de Boor, C.; Hoellig, K.
38
1983
Approximation order from bivariate \(C^ 1\)-cubics: A counterexample. Zbl 0545.41017
de Boor, C.; Höllig, K.
25
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
30
1982
Extremal polynomials with application to Richardson iteration for indefinite linear systems. Zbl 0476.65021
De Boor, Carl; Rice, John R.
19
1982
Recurrence relations for multivariate B-splines. Zbl 0506.41008
de Boor, Carl; Hoellig, Klaus
13
1982
The inverse of a totally positive bi-infinite band matrix. Zbl 0502.47014
De Boor, Carl
7
1982
Topics in multivariate approximation theory. Zbl 0501.41001
de Boor, C.
6
1982
Inverses of infinite sign regular matrices. Zbl 0502.47015
De Boor, C.; Friedland, S.; Pinkus, A.
6
1982
Structure of invertible (bi)infinite totally positive matrices. Zbl 0504.15014
de Boor, C.; Jia, Rong-qing; Pinkus, A.
6
1982
Convergence of abstract splines. Zbl 0477.41012
De Boor, Carl
13
1981
On a max-norm bound for the least-squares spline approximant. Zbl 0487.41014
de Boor, C.
7
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
4
1981
Elementary numerical analysis. An algorithmic approach. 3rd ed. Zbl 0496.65001
Conte, S. D.; de Boor, Carl
178
1980
Collocation approximation to eigenvalues of an ordinary differential equation: The principle of the thing. Zbl 0444.65053
De Boor, Carl; Swartz, Blair
14
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
10
1980
What is the main diagonal of a biinfinite band matrix? Zbl 0457.41014
De Boor, Carl
7
1980
...and 54 more Documents
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Cited by 6,469 Authors

44 de Boor, Carl
42 Speleers, Hendrik
41 Chui, Charles Kam-tai
40 Manni, Carla
40 Sbibih, Driss
37 Jia, Rong-Qing
34 Ron, Amos
32 Peña, Juan Manuel
32 Sangalli, Giancarlo
30 Lian, Heng
28 Dyn, Nira
27 Micchelli, Charles A.
26 Roul, Pradip
25 Yang, Lijian
24 Wang, Renhong
23 Dagnino, Catterina
22 Barrera, Domingo
22 Floater, Michael S.
22 Lyche, Tom
22 Sablonnière, Paul
22 Sauer, Tomas
22 Ward, Joseph Dinneen
21 Dahmen, Wolfgang A.
21 Schumaker, Larry L.
21 Shen, Zuowei
21 Tijini, Ahmed
19 Hughes, Thomas J. R.
18 Garoni, Carlo
18 Höllig, Klaus H.
18 Jüttler, Bert
18 Lai, Mingjun
18 Peters, Jorg
18 Unser, Michael A.
17 Carnicer, Jésus Miguel
17 Ghosal, Subhashis
17 Goldman, Ronald N.
17 Remogna, Sara
17 Serra-Capizzano, Stefano
16 Abbas, Muhammad Mohsin
16 Cabrelli, Carlos A.
16 Calo, Victor Manuel
16 Goodman, Timothy N. T.
16 Smith, Philip W.
15 Bownik, Marcin
15 Buffa, Annalisa
15 Ibáñez, María J.
15 Kobza, Jiří
15 Serghini, Abdelhafid
15 Shekhtman, Boris
15 Tahrichi, Mohamed
14 Allouch, Chafik
14 Li, Chin-Shang
14 Liang, Hua
14 Lim, Jae Kun
14 Ma, Shujie
14 Prasad Goura, V. M. K.
14 Zidna, Ahmed
13 Farouki, Rida T.
13 Kozak, Jernej
13 Kumar, Sunil
13 Lang, Feng-Gong
13 Pelosi, Francesca
13 Stöckler, Joachim
13 Sun, Qiyu
13 Volkov, Yuriĭ Stepanovich
13 Yang, Hu
13 You, Jinhong
12 Beirão da Veiga, Lourenço
12 Cao, Jiguo
12 Cramer, Erhard
12 Dehghan Takht Fooladi, Mehdi
12 Dierckx, Paul
12 García, Antonio G.
12 Johnson, Michael James
12 Kauermann, Goran
12 Kim, Hong Oh
12 Koo, Ja-Yong
12 Levin, David N.
12 Lv, Jing
12 Paternostro, Victoria
12 Skopina, Maria A.
12 Zhang, Shugong
11 Hiemstra, René R.
11 Kohler, Michael
11 Krajnc, Marjeta
11 Li, Yunzhang
11 Nürnberger, Günther
11 Pérez-Villalón, Gerardo
11 Russell, Robert D.
11 Sampoli, Maria Lucia
11 Sestini, Alessandra
11 Wu, Zongmin
11 Xu, Xiaoping
11 Zhu, Chungang
10 Conti, Costanza
10 Guo, Chaohui
10 Han, Bin
10 Huang, Jianhua Z.
10 Jaklič, Gašper
10 Kim, Rae Young
...and 6,369 more Authors
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Cited in 586 Serials

333 Journal of Computational and Applied Mathematics
327 Journal of Approximation Theory
235 Computer Aided Geometric Design
186 Computer Methods in Applied Mechanics and Engineering
162 Applied Mathematics and Computation
156 Journal of Computational Physics
129 Numerische Mathematik
112 Computers & Mathematics with Applications
109 Mathematics of Computation
106 Computational Statistics and Data Analysis
106 Applied and Computational Harmonic Analysis
89 Linear Algebra and its Applications
84 Journal of Mathematical Analysis and Applications
76 Constructive Approximation
76 Numerical Algorithms
73 Applied Numerical Mathematics
73 Advances in Computational Mathematics
58 BIT
49 Journal of Multivariate Analysis
48 Mathematics and Computers in Simulation
46 Journal of Statistical Planning and Inference
42 Computing
42 International Journal for Numerical Methods in Engineering
37 Computer Physics Communications
36 International Journal of Computer Mathematics
34 Computational Statistics
34 The Journal of Fourier Analysis and Applications
33 Communications in Statistics. Theory and Methods
33 Journal of Nonparametric Statistics
31 The Annals of Statistics
31 Journal of Scientific Computing
31 Applied Mathematical Modelling
29 Journal of Statistical Computation and Simulation
28 Transactions of the American Mathematical Society
28 Engineering Analysis with Boundary Elements
28 Electronic Journal of Statistics
28 Statistics and Computing
27 Proceedings of the American Mathematical Society
26 SIAM Journal on Scientific Computing
24 Computers and Fluids
24 Mathematical Methods in the Applied Sciences
24 Communications in Statistics. Simulation and Computation
24 Journal of Applied Statistics
23 Computational and Applied Mathematics
22 Applied Mathematics Letters
22 International Journal of Wavelets, Multiresolution and Information Processing
21 Calcolo
21 Statistics & Probability Letters
20 Numerical Methods for Partial Differential Equations
19 Journal of Optimization Theory and Applications
19 Numerical Functional Analysis and Optimization
18 International Journal for Numerical Methods in Fluids
18 Journal of the American Statistical Association
18 Journal of Functional Analysis
18 European Journal of Operational Research
18 Statistical Papers
17 Scandinavian Journal of Statistics
17 Automatica
17 Computational Mechanics
17 Test
16 Annals of the Institute of Statistical Mathematics
15 Applicable Analysis
15 Science China. Mathematics
14 Journal of Systems Science and Complexity
13 Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
13 Biometrics
13 Journal of Econometrics
13 SIAM Journal on Numerical Analysis
13 Computational Mathematics and Mathematical Physics
13 The Annals of Applied Statistics
12 Journal of Mathematical Sciences (New York)
12 Statistica Sinica
12 Acta Mathematica Sinica. English Series
12 Journal of Applied Mathematics and Computing
12 Journal of the Korean Statistical Society
12 International Journal of Applied and Computational Mathematics
11 Linear and Multilinear Algebra
11 Mathematical Biosciences
11 Results in Mathematics
11 Journal of Complexity
10 Bulletin of the Australian Mathematical Society
10 The Canadian Journal of Statistics
10 Mathematical Notes
10 Applied Mathematics. Series B (English Edition)
10 Statistical Modelling
10 Proceedings of the Steklov Institute of Mathematics
9 Metrika
9 Advances in Mathematics
9 Biometrical Journal
9 Acta Applicandae Mathematicae
9 Applications of Mathematics
9 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Foundations of Computational Mathematics
9 Advances in Difference Equations
8 Acta Mechanica
8 Mathematische Zeitschrift
8 Journal of Symbolic Computation
8 Numerical Linear Algebra with Applications
8 ETNA. Electronic Transactions on Numerical Analysis
...and 486 more Serials
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Cited in 60 Fields

2,833 Numerical analysis (65-XX)
1,539 Approximations and expansions (41-XX)
965 Statistics (62-XX)
456 Harmonic analysis on Euclidean spaces (42-XX)
414 Partial differential equations (35-XX)
256 Fluid mechanics (76-XX)
246 Ordinary differential equations (34-XX)
243 Mechanics of deformable solids (74-XX)
217 Computer science (68-XX)
146 Functional analysis (46-XX)
142 Linear and multilinear algebra; matrix theory (15-XX)
139 Operations research, mathematical programming (90-XX)
128 Information and communication theory, circuits (94-XX)
123 Operator theory (47-XX)
119 Integral equations (45-XX)
102 Probability theory and stochastic processes (60-XX)
102 Systems theory; control (93-XX)
95 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
95 Biology and other natural sciences (92-XX)
80 Calculus of variations and optimal control; optimization (49-XX)
66 Real functions (26-XX)
53 Statistical mechanics, structure of matter (82-XX)
48 Commutative algebra (13-XX)
47 Dynamical systems and ergodic theory (37-XX)
46 Combinatorics (05-XX)
46 Special functions (33-XX)
45 Mechanics of particles and systems (70-XX)
44 Quantum theory (81-XX)
42 Differential geometry (53-XX)
40 Functions of a complex variable (30-XX)
39 Classical thermodynamics, heat transfer (80-XX)
38 Difference and functional equations (39-XX)
37 Geophysics (86-XX)
36 Abstract harmonic analysis (43-XX)
34 Optics, electromagnetic theory (78-XX)
25 Convex and discrete geometry (52-XX)
19 Integral transforms, operational calculus (44-XX)
18 Number theory (11-XX)
18 Algebraic geometry (14-XX)
17 Potential theory (31-XX)
16 History and biography (01-XX)
12 Field theory and polynomials (12-XX)
12 Global analysis, analysis on manifolds (58-XX)
10 General and overarching topics; collections (00-XX)
10 Topological groups, Lie groups (22-XX)
10 Measure and integration (28-XX)
10 Geometry (51-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Group theory and generalizations (20-XX)
8 Astronomy and astrophysics (85-XX)
7 Associative rings and algebras (16-XX)
6 Mathematical logic and foundations (03-XX)
5 Sequences, series, summability (40-XX)
4 Relativity and gravitational theory (83-XX)
3 \(K\)-theory (19-XX)
2 Nonassociative rings and algebras (17-XX)
2 General topology (54-XX)
2 Mathematics education (97-XX)
1 Order, lattices, ordered algebraic structures (06-XX)
1 Manifolds and cell complexes (57-XX)

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