Thu Oct 16 17:50:53 2014 UTClccn-n791341790.37Análisis numérico elemental : un enfoque algorítmico /0.691.00[Oral History Program interview with Carl De Boor, 2007]108613475Carl_R._de_Boorn 79134179365552Boor, C. de.Boor Carl DeBoor, Carl de 1937-De Boor, C.De Boor, C. 1937-De Boor, C. (Carl)De Boor, C. (Carl), 1937-De Boor, Karl.De Bor, K.De Bor, K. 1937-De Bor, K. (Karl)De Bor, K. (Karl), 1937-De Bor, KarlDe Bor, Karl 1937-DeBoor, Carl 1937-ドボアー, Clccn-n79126840Conte, Samuel Daniel1917-lccn-n93053923Höllig, Klauscrelccn-n79099501University of Wisconsin--MadisonMathematics Research Centerothedtlccn-n83005601Golub, Gene H.(Gene Howard)1932-2007edtlccn-n82130340Riemenschneider, S. D.crenc-american mathematical societyAmerican Mathematical Societylccn-n83163662Schoenberg, I. J.lccn-no91030279MathWorks, Incnc-wisconsin univ madison mathematics research centerWISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTERlccn-n98019556Ron, Amos1953-De Boor, CarlConference proceedingsHandbooks, manuals, etcNumerical analysis--Data processingSpline theoryDifferential equations, PartialFinite element methodNumerical analysisApproximation theoryMathematicsFORTRAN (Computer program language)MATLABMathematical analysisGlobal analysis (Mathematics)Mathematical analysis--Computer programsPolynomialsSpline theory--Data processingNumerical calculationsDifferential equationsMultivariate analysisBoundary value problemsProgramming (Mathematics)Universities and colleges--FacultyAlgorithmsStanford University.--Computer Science DepartmentSplinesStanford UniversityStanford University.--Department of MathematicsUnivalent functionsFourier integral operatorsUniversity of Wisconsin--MadisonMathematics--Study and teaching (Higher)1937196519661968197219731974197519761977197819791980198119821983198419851986198719881989199019911992199319961998199920002001200220052007200820104180165367519.4QA297ocn828142175ocn467951613ocn310818768ocn310766539ocn310825819ocn265809130ocn263319359ocn797237302ocn470709940ocn468103327ocn824634040136840ocn000320455book19720.59Conte, Samuel DanielElementary numerical analysis; an algorithmic approachNumber 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 equations114032ocn004379043book19780.66De Boor, CarlA practical guide to splines+-+410854238532438525ocn004496833book19780.79Symposium on Recent Advances in Numerical AnalysisRecent advances in numerical analysis : proceedings of a symposium conducted by the Mathematics Research Center, the University of Wisconsin--Madison, May 22-24, 1978Conference proceedingsPositive functions and some applications to stability questions for numerical methods; Constructive polynomial approximation in sobolev spaces; Questions of numerical condition related to polynomials; Global homotopies and newton methods; Problems with different time scales; Accuracy and resolution in the computation of solutions of linear and nonlinear equations; Finite element approximation to the one-dimensional stefan problem; The hodie method and its performance for solving elliptic partial differential equations; Solving ODE's with discrete data in SPEAKEASY; Perturbation theory for the generalized eigenvalue problem; Some remarks on good, simple, and optimal quadrature formulas; Linear differential equations and kronecker's canonical form36411ocn028338168book19930.79De Boor, CarlBox splinesThis 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+-+565694238534412ocn013525655book19860.82Approximation theoryConference proceedings1437ocn017483573book19880.90Schoenberg, I. JSelected papers713ocn024887205book19900.77De Boor, CarlSplinefunktionen3611ocn043981921book19900.82De Boor, CarlSpline toolbox for use with MATLAB : user's guideHandbooks, manuals, etc181ocn490001659book19740.82Symposium on mathematical aspects of finite elements in partial differential equationsMathematical 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, 1974Conference proceedings145ocn023760063book19720.37Conte, Samuel DanielAnálisis numérico elemental : un enfoque algorítmico127ocn050779570book20000.56De Boor, CarlSpline toolbox for use with MATLAB : user's guide, version 3Handbooks, manuals, etc102ocn310818768book19740.47Mathematical aspects of finite elements in partial differential equations : proceedings of a symposium, conducted by the Mathematics Research Center, the Univ. of Wisconsin, Madison, April 1-3, 197464ocn008556111book19800.97De Boor, CarlLocal piecewise polynomial projection methods for an ode which give high-order convergence at knotsLocal projection methods which yield C(m-1) piecewise polynomials of order m+k as approximate solutions of a boundary value problem for an m(th) order ordinary differential equation are determined by the k linear functionals at which the residual error in each partition interval is required to vanish. We develop a condition on these k functionals which implies breakpoint superconvergence (of derivatives of order less than m) for the approximating piecewise polynomials. The same order of super-convergence is associated with eigenvalue problems. (Author)63ocn002163875book19730.63De Boor, CarlPackage for calculating with b-splines53ocn251730195book19750.74De Boor, CarlOn local linear functionals which vanish at all B-splines but one55ocn164003775book19740.47De Boor, CarlMathematical Aspects of finite elements in partial differential equations51ocn265809130book19740.47Mathematical aspects of finite elements in partial differential equations : proceedings of a symposium conducted by the Mathematics Research Center, University of Wisconsin-Madison, April 197453ocn020710075book19890.74De Boor, CarlOn two polynomial spaces associated with a box splineIn this paper we characterize the dual space P as the joint kernel of simple differential operators, each one a power of a directional derivative. Various applications of this result to multivariate polynomial interpolation, multivariate splines and duality between polynomial and exponential spaces are discussed."42ocn023346709book19890.74De Boor, CarlThe exponentials in the span of the integer translates of a compactly supported functionThe natural choice [formula] is singled out, and the interrelation between [formula] and [formula] is analyzed in detail. We use these observations in the conversion of the local approximation order of an exponential space H into approximation rates from any space which contains H and is spanned by the [formula] translates of a single compactly supported function [symbol]. The bounds obtained are attractive in the sense that they rely only on H and the basic quantities diam supp [symbol] and [formula]."44ocn017777929book19850.47De Boor, CarlB-splines without divided differencesThis 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 algorithms11ocn754863789mix0.47Herriot, John GeorgeJohn George Herriot papersThese papers document his career as a mathematician and include his notes taken while a student at Brown University, 1937-41, and his master's and doctoral theses, 1940-41; research files (notes, computations, articles, computer printouts, some correspondence, and other materials) on Fourier series, Schlicht functions, spline theory, and other topics, 1940-83; memos, minutes, correspondence, and other records pertaining to Stanford's Dept. of Computer Sciences and the Stanford Computation Center, 1946-92; correspondence, notes, and reports pertaining to his Fulbright year, 1962-63; and bibliographic and biographical materials. Other persons represented in the papers include Carl De Boor, C. H. Reinsch, and Larry L. Schumaker11ocn228300222rcrd20071.00De Boor, Carl[Oral History Program interview with Carl De Boor, 2007]InterviewsChildhood and early education in Germany; Life in postwar East Germany; Study at the University of Hamburg and Harvard University; Early mathematic research; Employment at General Motors; Ph.D. work at Michigan; Academic position at Purdue University; Teaching and research; Consulting at the Los Alamos Research lab and military research; Hiring at the Mathematics Research Center with appointments in mathematics and computer science; Research and teaching; Graduate students; Awards and honors; Service on campus committees; End of the Mathematics Research Center; Late-career and retirement activities; National Medal of Science+-+4108542385324+-+4108542385324Thu Oct 16 15:41:59 EDT 2014batch21241