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51

Quadratic spline interpolation and the sharpness of Lebesgue's inequality

Journal:

Journal of Approximation Theory

Year:

1976

Language:

english

File:

PDF, 508 KB

english, 1976

52

On “best” interpolation

Journal:

Journal of Approximation Theory

Year:

1976

Language:

english

File:

PDF, 673 KB

english, 1976

53

Piecewise monotone interpolation

Carl de Boor, Blair Swartz

Journal:

Journal of Approximation Theory

Year:

1977

Language:

english

File:

PDF, 293 KB

english, 1977

54

An adaptive algorithm for multivariate approximation giving optimal convergence rates

Carl de Boor, John R. Rice

Journal:

Journal of Approximation Theory

Year:

1979

Language:

english

File:

PDF, 1.03 MB

english, 1979

55

Some qualitative properties of bivariate Euler-Frobenius polynomials

Carl de Boor, Klaus Höllig, Sherman Riemenschneider

Journal:

Journal of Approximation Theory

Year:

1987

Language:

english

File:

PDF, 358 KB

english, 1987

56

The exact condition of the B-spline basis may be hard to determine

Journal:

Journal of Approximation Theory

Year:

1990

Language:

english

File:

PDF, 862 KB

english, 1990

57

Spline models for observational data: G. Wahba, CBMS 59, SIAM, 1990, 169 pp

Journal:

Journal of Approximation Theory

Year:

1991

Language:

english

File:

PDF, 73 KB

english, 1991

58

Interpolation of functions: J. Szabados and P. Vértesi, World Scientific, 1990, 305 pp

Journal:

Journal of Approximation Theory

Year:

1992

Language:

english

File:

PDF, 82 KB

english, 1992

59

Local corner cutting and the smoothness of the limiting curve

Journal:

Computer Aided Geometric Design

Year:

1990

Language:

english

File:

PDF, 698 KB

english, 1990

60

An asymptotic expansion for the error in a linear map that reproduces polynomials of a certain order

Journal:

Journal of Approximation Theory

Year:

2005

Language:

english

File:

PDF, 145 KB

english, 2005

61

Multivariate polynomial interpolation: Aitken–Neville sets and generalized principal lattices

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 579 KB

english, 2009

62

A divided difference expansion of a divided difference

Journal:

Journal of Approximation Theory

Year:

2003

Language:

english

File:

PDF, 96 KB

english, 2003

63

Erratum to “A divided difference expansion of a divided difference” [J. Approx. Theory 122 (2003) 10–12]

Journal:

Journal of Approximation Theory

Year:

2003

File:

PDF, 132 KB

2003

64

On the construction of multivariate (pre)wavelets

Carl de Boor, Ronald A. DeVore, Amos Ron

Journal:

Constructive Approximation

Year:

1993

Language:

english

File:

PDF, 2.30 MB

english, 1993

65

Fourier analysis of the approximation power of principal shift-invariant spaces

Carl de Boor, Amos Ron

Journal:

Constructive Approximation

Year:

1992

Language:

english

File:

PDF, 1.85 MB

english, 1992

66

Preface

Carl de Boor, Wolfgang Dahmen, Charles A. Micchelli, Larry L. Schumaker

Journal:

Constructive Approximation

Year:

1991

Language:

english

File:

PDF, 58 KB

english, 1991

67

Convergence of bivariate cardinal interpolation

Carl de Boor, Klaus Höllig, Sherman Riemenschneider

Journal:

Constructive Approximation

Year:

1985

Language:

english

File:

PDF, 407 KB

english, 1985

68

The polynomials in the linear span of integer translates of a compactly supported function

Journal:

Constructive Approximation

Year:

1987

Language:

english

File:

PDF, 467 KB

english, 1987

69

The least solution for the polynomial interpolation problem

Carl de Boor, Amos Ron

Journal:

Mathematische Zeitschrift

Year:

1992

Language:

english

File:

PDF, 1.56 MB

english, 1992

70

Multivariate polynomial interpolation: conjectures concerning GC-sets

Journal:

Numerical Algorithms

Year:

2007

Language:

english

File:

PDF, 347 KB

english, 2007

71

Convergence of abstract splines

Journal:

Journal of Approximation Theory

Year:

1981

Language:

english

File:

PDF, 412 KB

english, 1981

72

The approximation of a totally positive band matrix by a strictly banded totally positive one

Carl de Boor, Allan Pinkus

Journal:

Linear Algebra and its Applications

Year:

1982

Language:

english

File:

PDF, 829 KB

english, 1982

73

Finite sequences of orthogonal polynomials connected by a Jacobi matrix

Carl de Boor, Edward B. Saff

Journal:

Linear Algebra and its Applications

Year:

1986

Language:

english

File:

PDF, 577 KB

english, 1986

74

Book Reviews

Journal:

Journal of Approximation Theory

Year:

2008

Language:

english

File:

PDF, 144 KB

english, 2008

75

George G. Lorentz (1910–2006)

Carl de Boor, Paul Nevai

Journal:

Journal of Approximation Theory

Year:

2009

Language:

english

File:

PDF, 1.51 MB

english, 2009

76

Box splines revisited: Convergence and acceleration methods for the subdivision and the cascade algorithms

Carl de Boor, Amos Ron

Journal:

Journal of Approximation Theory

Year:

2008

Language:

english

File:

PDF, 251 KB

english, 2008

77

Computational aspects of multivariate polynomial interpolation: Indexing the coefficients

Journal:

Advances in Computational Mathematics

Year:

2000

Language:

english

File:

PDF, 101 KB

english, 2000

78

What is the Inverse of a Basis?

Journal:

BIT Numerical Mathematics

Year:

2001

Language:

english

File:

PDF, 156 KB

english, 2001

79

On Radon’s recipe for choosing correct sites for multivariate polynomial interpolation

Dominik Stahl, Carl de Boor

Journal:

Journal of Approximation Theory

Year:

2011

Language:

english

File:

PDF, 163 KB

english, 2011

80

Collocation at Gaussian Points

de Boor, Carl, Swartz, Blair

Journal:

SIAM Journal on Numerical Analysis

Year:

1973

Language:

english

File:

PDF, 1.93 MB

english, 1973

81

Dichotomies for Band Matrices

Journal:

SIAM Journal on Numerical Analysis

Year:

1980

Language:

english

File:

PDF, 1.21 MB

english, 1980

82

The Condition of the B-Spline Basis for Polynomials

Journal:

SIAM Journal on Numerical Analysis

Year:

1988

Language:

english

File:

PDF, 327 KB

english, 1988

83

FFT as Nested Multiplication, with a Twist

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1980

Language:

english

File:

PDF, 561 KB

english, 1980

84

Extremal Polynomials with Application to Richardson Iteration for Indefinite Linear Systems

de Boor, Carl, Rice, John R.

Journal:

SIAM Journal on Scientific and Statistical Computing

Year:

1982

Language:

english

File:

PDF, 1.03 MB

english, 1982

85

A Leibniz Formula for Multivariate Divided Differences

Journal:

SIAM Journal on Numerical Analysis

Year:

2003

Language:

english

File:

PDF, 163 KB

english, 2003

86

Tensor Products and Commutative Matrices

de Boor, Carl, Rice, John R.

Journal:

Journal of the Society for Industrial and Applied Mathematics

Year:

1964

Language:

english

File:

PDF, 396 KB

english, 1964

87

Professional Biography: Michael Golomb

de Boor, Carl, Jerome, Joseph W.

Journal:

SIAM Journal on Mathematical Analysis

Year:

1982

Language:

english

File:

PDF, 1.05 MB

english, 1982

88

On the Cardinal Spline Interpolant to $e^{iut} $

Journal:

SIAM Journal on Mathematical Analysis

Year:

1976

Language:

english

File:

PDF, 588 KB

english, 1976

89

CALCULATION OF THE SMOOTHING SPLINE WITH WEIGHTED ROUGHNESS MEASURE

Journal:

Mathematical Models and Methods in Applied Sciences

Year:

2001

Language:

english

File:

PDF, 203 KB

english, 2001

90

A Comment on "Numerical Comparisons of Algorithms for Polynomial and Rational Multivariate Approximations"

Journal:

SIAM Journal on Numerical Analysis

Year:

1978

Language:

english

File:

PDF, 336 KB

english, 1978

91

Bounding the Error in Spline Interpolation

Journal:

Year:

1974

Language:

english

File:

PDF, 752 KB

english, 1974

92

A Comment on: “Numerical Comparisons of Algorithms for Polynomials and Rational Multivariate Approximations”

Journal:

SIAM Journal on Numerical Analysis

Year:

1978

Language:

english

File:

PDF, 269 KB

english, 1978

93

Bounding the Error in Spline Interpolation

Journal:

Year:

1974

Language:

english

File:

PDF, 994 KB

english, 1974

94

Chebyshev Approximation by $a\Pi \frac{{x - r_i }}{{x + s_i }}$ and Application to ADI Iteration

de Boor, Carl, Rice, John R.

Journal:

Journal of the Society for Industrial and Applied Mathematics

Year:

1963

Language:

english

File:

PDF, 840 KB

english, 1963

95

Recurrence Relations for Multivariate B-Splines

Carl De Boor and Klaus Höllig

Journal:

Proceedings of the American Mathematical Society

Year:

1982

Language:

english

File:

PDF, 138 KB

english, 1982

96

Chebyshev Approximation by$a \prod \frac{x - r_i}{x + s_i}$and Application to Adi Iteration

Carl de Boor and John R. Rice

Journal:

Journal of the Society for Industrial and Applied Mathematics

Year:

1963

Language:

english

File:

PDF, 658 KB

english, 1963

97

Collocation Approximation to Eigenvalues of an Ordinary Differential Equation: Numerical Illustrations

Carl de Boor and Blair Swartz

Journal:

Mathematics of Computation

Year:

1981

Language:

english

File:

PDF, 1.86 MB

english, 1981

98

Handbook of Computer Aided Geometric Design || Spline Basics

Year:

2002

Language:

english

File:

PDF, 793 KB

english, 2002

99

On the Sauer-Xu Formula for the Error in Multivariate Polynomial Interpolation

Journal:

Mathematics of Computation

Year:

1996

Language:

english

File:

PDF, 118 KB

english, 1996

100

[Applied Mathematical Sciences] Box Splines Volume 98 ||

de Boor, Carl, Höllig, Klaus, Riemenschneider, Sherman

Year:

1993

Language:

english

File:

PDF, 16.94 MB

english, 1993