WorldCat Identities

De Boor, Carl

Overview
Works: 107 works in 525 publications in 7 languages and 5,054 library holdings
Genres: Conference papers and proceedings  Handbooks and manuals  Periodicals 
Roles: Author, Editor
Classifications: QA297, 519.4
Publication Timeline
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Most widely held works about Carl De Boor
 
Most widely held works by Carl De Boor
Elementary numerical analysis; an algorithmic approach by Samuel Daniel Conte( Book )

66 editions published between 1965 and 1995 in 3 languages and held by 1,421 WorldCat member libraries worldwide

Number systems and errors; The solution of nonlinear equations; Interpolation and approximation; Differentiation and integration; Matrices and systems of linear equations; The solution of differential equations; Boundary-value problems in ordinary differential equations
A practical guide to splines by Carl De Boor( Book )

37 editions published between 1978 and 2008 in 3 languages and held by 1,199 WorldCat member libraries worldwide

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 by Carl De Boor( Book )

23 editions published between 1974 and 2014 in English and Undetermined and held by 395 WorldCat member libraries worldwide

Mathematical Aspects of Finite Elements in Partial Differential Equations addresses the mathematical questions raised by the use of finite elements in the numerical solution of partial differential equations. This book covers a variety of topics, including finite element method, hyperbolic partial differential equation, and problems with interfaces.Organized into 13 chapters, this book begins with an overview of the class of finite element subspaces with numerical examples. This text then presents as models the Dirichlet problem for the potential and bipotential operator and discusses the ques
Recent advances in numerical analysis : proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, May 22-24, 1978 by Gene H Golub( Book )

28 editions published between 1978 and 1979 in English and Undetermined and held by 392 WorldCat member libraries worldwide

Recent Advances in Numerical Analysis
Box splines by Carl De Boor( Book )

12 editions published between 1993 and 2010 in English and Undetermined and held by 389 WorldCat member libraries worldwide

This book on box splines is the first book giving a complete development for any kind of multivariate spline. Box splines give rise to an intriguing and beautiful mathematical theory that is much richer and more intricate than the univariate case because of the complexity of smoothly joining polynomial pieces on polyhedral cells. The purpose of this book is to provide the basic facts about box splines in a cohesive way with simple, complete proofs, many illustrations, and with an up-to-date bibliography. It is not the book's intention to be encyclopedic about the subject, but rather to provide the fundamental knowledge necessary to familiarize graduate students and researchers in analysis, numerical analysis, and engineering with a subject that surely will have as many widespread applications as its univariate predecessor. This book will be used as a supplementary text for graduate courses. The book begins with chapters on box splines defined, linear algebra of box spline spaces, and quasi-interpolants and approximation power. It continues with cardinal interpolation and difference equations, approximation by cardinal splines and wavelets. The book concludes with discrete box splines and linear diophantine equations, and subdivision algorithms
Approximation theory by Carl De Boor( Book )

21 editions published between 1986 and 2014 in English and held by 352 WorldCat member libraries worldwide

Selected papers by I. J Schoenberg( Book )

8 editions published in 1988 in English and held by 142 WorldCat member libraries worldwide

Splinefunktionen by Carl De Boor( Book )

9 editions published between 1984 and 1990 in 3 languages and held by 91 WorldCat member libraries worldwide

Der Begriff der Splinefunktionen wurde von I.J. Schoenberg 1946 eingefUhrt. "Spline" ist der Name eines Zeichengerates, welches auf mechanischem Weg Interpolatio- aufgaben lost. Dieses Gerat besteht aus einer flexiblen, oft mehrere Meter langen Latte, die auf dem Zeichenbrett aufliegt und dort an bestimmten Stellen durch Gewichte festgehalten wird. Die Form, die die Latte annimmt, hangt von den Elastizitatseigenschaften der Latte abo -, ", \, \ \ I, "--"', J::>--", I I, I I I, ") Fig. 1: Latteninterpo1ation Po1ynominterpo1ation _ - - - - - - - --0 Wir konnen natUrlich versuchen, ein mathematisches Modell fUr dieses mechanische Zeichengerat zu machen, d. h. die Gestalt solcher Kurven mathematisch zu erfassen. - 2 - Die Theorie der Balkenbiegung verlangt, dass die mittlere 2 K quadratische KrUmmung, ("strain energy", Spannungs- J energie) minimiert wird. Lasst sich die Kurve als Graph einer Funktion f auf dem Intervall [a, b] schreiben, so erhalt man mit dem bekannten Ausdruck fUr die Krlimmung K [f" (t) P --dt ~ min (1) t [1 +f' (t)2J5/2 a Statt dieses schwierige Extremalproblem zu losen, begnUgt man sich damit, (2) zu minimieren. Die Extremalfunktion fUr das Funktional (2) ist stUckweise ein kubisches Polynom; die Polyn- stUcke gehen an den Bruchstellen so glatt ineinander Uber, dass die Funktion zweimal stetig differenzierbar ist
Spline toolbox for use with MATLAB : user's guide by Carl De Boor( Book )

15 editions published between 1990 and 2004 in English and held by 42 WorldCat member libraries worldwide

Análisis numérico elemental : un enfoque algorítmico by Samuel Daniel Conte( Book )

6 editions published between 1972 and 1985 in Spanish and held by 22 WorldCat member libraries worldwide

Spline toolbox for use with MATLAB : user's guide, version 3 by Carl De Boor( Book )

10 editions published between 1999 and 2005 in English and held by 13 WorldCat member libraries worldwide

The Numerically Stable Reconstruction of a Jacobi Matrix from Spectral Data by Carl De Boor( Book )

9 editions published in 1977 in English and Undetermined and held by 10 WorldCat member libraries worldwide

A stable algorithm is given for the construction of a symmetric tridiagonal matrix of order n from its eigenvalues and the eigenvalues of its upper left principal submatrix of order n - 1. The algorithm might be of help in the approximate solution of inverse eigenvalue problems for Sturm-Liouville equations. (Author)
Analisis berangka permulaan : suatu pendekatan algoritma by Samuel Daniel Conte( Book )

1 edition published in 1993 in Malay and held by 9 WorldCat member libraries worldwide

B-splines without divided differences by Carl De Boor( Book )

9 editions published in 1985 in English and Undetermined and held by 8 WorldCat member libraries worldwide

This note develops the basic B-spline theory without using divided differences. Instead, the starting point is the definition of B-splines via recurrence relations. This approach yields very simple derivations of basic properties of spline functions and algorithms
Extremal polynomials with application to Richardson iteration for indefinite linear systems by Carl De Boor( Book )

5 editions published in 1980 in English and held by 8 WorldCat member libraries worldwide

The application of Richardson iteration to a symmetric, but indefinite linear system requires certain parameters which can be determined from the zeros in the error of a certain best polynomial approximant on some set S known to contain the spectrum of the coefficient matrix. It is pointed out that this error can also be obtained as a multiple of the extremal polynomial for the linear functional p at p(0), and this leads to an efficient Remes type algorithm for its determination. A program incorporating this algorithm for the case that S consists of two intervals bracketing zero is also given. (Author)
Georgii Monachi Chronicon by Georgius( Book )

2 editions published between 1904 and 1978 in Latin and Greek, Modern and held by 8 WorldCat member libraries worldwide

Convergence of cardinal series by Carl De Boor( Book )

6 editions published in 1985 in English and held by 7 WorldCat member libraries worldwide

The result of this paper is a generalization of an characterization of the limits of multivariate cardinal splines. Keywords: Convergence; fourier transforms; Analytic functions; Convolution; Exponential functions; Fourier series
Package for calculating with b-splines by Carl De Boor( Book )

5 editions published in 1973 in English and held by 7 WorldCat member libraries worldwide

ATIONS, FORTRAN, Polynomials, Subroutines, Theorems*Spline functions, Spline interpolation, Collocation(Mathematics)Eight FORTRAN subprograms for dealing computationally with piecewise polynomial functions (of one variable) are presented. The package is built around an algorithm for the stable evaluation of B-splines of arbitrary order and with knots of arbitrary multiplicity. Four examples illustrate how one might use these routines: interpolation by splines of general order k (and not necessarily at the knots); least squares approximation by splines to discrete data; the determination of the derivative of a spline with respect to a knot; and the approximate solution of an ordinary differential equation with rather general side conditions by collocation. (Author)
Acta numerica( Book )

1 edition published in 1992 in English and held by 7 WorldCat member libraries worldwide

Presents information on "Acta Numerica," an annual publication from Cambridge University Press. Lists the members of the editorial board. Notes that the journal is a collection of review articles, including survey papers by leading researchers in numerical analysis and scientific computing. Offers instructions for contributors and the tables of contents for the current and previous issues
Inverses of infinite sign regular matrices by Carl De Boor( Book )

5 editions published in 1980 in English and held by 7 WorldCat member libraries worldwide

Let A be an infinite sign regular (SR) matrix which can be viewed as a bounded linear operator from L sub infinity to itself. It is proved here that if the range of A contains the sequence (...,1,-1,1,-1 ...), then A is onto. If (inverse of A) exists then D (inverse of A) D is also SR, where D is the diagonal matrix with diagonal entries alternately 1 and -1. In case A is totally positive (TP), then D (inverse of A) D is also TP under additional assumptions on A. (Author)
 
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A practical guide to splines
Alternative Names
Boor, C. de.

Boor Carl De

Boor, Carl de 1937-

Boor, Carl-Wilhelm Reinhold de 1937-

Carl de Boor

Carl de Boor deutsch-amerikanischer Mathematiker

Carl R. de Boor Amerikaans wiskundige

Carl R. de Boor matemático estadounidense

Carl R. de Boor matematico statunitense

Carl R. de Boor mathématicien américain

De Boor, C.

De Boor, C. 1937-

De Boor, C. (Carl)

De Boor, C. (Carl), 1937-

De Boor, Carl-Wilhelm Reinhold 1937-

De Boor, Karl.

De Bor, K.

De Bor, K. 1937-

De Bor, K. (Karl)

De Bor, K. (Karl), 1937-

De Bor, Karl

De Bor, Karl 1937-

DeBoor, Carl 1937-

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Box splines