# zbMATH — the first resource for mathematics

## de Boor, Carl

Compute Distance To:
 Author ID: de-boor.carl Published as: De Boor, C.; De Boor, Carl; de Boor, C.; de Boor, C. R.; de Boor, Carl External Links: MGP · Wikidata · dblp · GND
 Documents Indexed: 166 Publications since 1962, including 11 Books
all top 5

#### Co-Authors

 83 single-authored 19 Höllig, Klaus H. 18 Ron, Amos 10 DeVore, Ronald A. 9 Riemenschneider, Sherman D. 7 Swartz, Blair K. 5 Pinkus, Allan M. 4 Rice, John R. 3 Birkhoff, Garrett 3 Conte, Samuel D. 3 Jia, Rong-Qing 2 de Hoog, Frank Robert 2 Dyn, Nira 2 Golub, Gene Howard 2 Schoenberg, Isaac Jacob 2 Shen, Zuowei 2 Weiss, Richard 1 Askey, Richard Allen 1 Daniel, James W. 1 Fix, George J. 1 Friedland, Shmuel 1 Jerome, Joseph W. 1 Keller, Herbert Bishop 1 Kreiss, Heinz-Otto 1 Lyche, Tom 1 Lynch, Robert E. 1 Nevai, Paul G. 1 Rosser, John Barkley 1 Sabin, Malcolm A. 1 Saff, Edward Barry 1 Schumaker, Larry L. 1 Shekhtman, Boris 1 Stahl, Dominik 1 Wendroff, Burton
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
all top 5

#### Fields

 117 Approximations and expansions (41-XX) 56 Numerical analysis (65-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 8 Functional analysis (46-XX) 6 Harmonic analysis on Euclidean spaces (42-XX) 6 Operator theory (47-XX) 5 Ordinary differential equations (34-XX) 3 General and overarching topics; collections (00-XX) 3 History and biography (01-XX) 3 Commutative algebra (13-XX) 3 Difference and functional equations (39-XX) 2 Special functions (33-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX)

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

#### 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
all top 5

#### 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
all top 5

#### 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)

#### Wikidata Timeline

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.