WorldCat Identities

Höllig, Klaus

Overview
Works: 40 works in 86 publications in 2 languages and 1,024 library holdings
Roles: Creator
Classifications: TA645, 620.00151535
Publication Timeline
Key
Publications about  Klaus Höllig Publications about Klaus Höllig
Publications by  Klaus Höllig Publications by Klaus Höllig
Most widely held works by Klaus Höllig
Finite element methods with B-splines by Klaus Höllig ( )
12 editions published between 2003 and 2012 in English and held by 450 WorldCat member libraries worldwide
Finite Element Methods with B-Splines describes new weighted approximation techniques, combining the computational advantages of B-splines and standard finite elements. In particular, no grid generation is necessary, which eliminates a difficult and often time-consuming preprocessing step. The meshless methods are very efficient and yield highly accurate solutions with relatively few parameters. This is illustrated for typical boundary value problems in fluid flow, heat conduction, and elasticity. Topics discussed by the author include basic finite element theory, algorithms for B-splines, weighted bases, stability and error estimates, multigrid techniques, applications, and numerical examples
Box splines by Carl De Boor ( Book )
12 editions published between 1993 and 2010 in English and Undetermined and held by 403 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 and modeling with B-splines by Klaus Höllig ( Book )
3 editions published in 2013 in English and held by 59 WorldCat member libraries worldwide
Grundlagen der Numerik by Klaus Höllig ( Book )
1 edition published in 1998 in German and held by 27 WorldCat member libraries worldwide
Nonuniform WEB-Splines by Klaus Höllig ( )
3 editions published in 2002 in English and held by 15 WorldCat member libraries worldwide
Error estimates for the web-method by Klaus Höllig ( Book )
3 editions published in 2000 in English and held by 8 WorldCat member libraries worldwide
Multivariate splines by Klaus Höllig ( Book )
5 editions published between 1981 and 1987 in English and Undetermined and held by 6 WorldCat member libraries worldwide
B-splines without divided differences by Carl De Boor ( Book )
5 editions published in 1985 in English and Undetermined and held by 4 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
Geometric hermite interpolation with maximal order and smoothness by Klaus Höllig ( Book )
2 editions published between 1995 and 1996 in English and held by 4 WorldCat member libraries worldwide
Box-spline tilings by Carl De Boor ( Book )
2 editions published in 1989 in English and held by 4 WorldCat member libraries worldwide
Box splines by Klaus Höllig ( Book )
2 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide
Convergence of cardinal series by Carl De Boor ( Book )
2 editions published in 1985 in English and held by 3 WorldCat member libraries worldwide
Divided differences, hyperbolic equations, and lifting distributions by Klaus Höllig ( Book )
2 editions published in 1985 in English and held by 3 WorldCat member libraries worldwide
Approximationszahlen von Sobolev-Einbettungen by Klaus Höllig ( Book )
2 editions published in 1979 in German and held by 3 WorldCat member libraries worldwide
Geometric continuity of spline curves and surfaces by Klaus Höllig ( Book )
2 editions published in 1986 in English and held by 3 WorldCat member libraries worldwide
L∞-boundedness of L2-projections on splines for a geometric mesh by Klaus Höllig ( Book )
2 editions published in 1980 in English and held by 3 WorldCat member libraries worldwide
Diameters of classes of smooth functions by Klaus Höllig ( Book )
1 edition published in 1979 in German and held by 2 WorldCat member libraries worldwide
Fundamental soulutions for multivariate difference equations and applications to cardinal interpolation by Carl De Boor ( Book )
2 editions published in 1987 in English and held by 2 WorldCat member libraries worldwide
A generalization of Jackson's inequality by Klaus Höllig ( Book )
2 editions published in 1980 in German and English and held by 2 WorldCat member libraries worldwide
An identity for the characteristic polynomials of the L2-projections on splines for a geometric mesh by Klaus Höllig ( Book )
1 edition published in 1980 in German and held by 2 WorldCat member libraries worldwide
 
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Audience Level
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  Kids General Special  
Audience level: 0.77 (from 0.35 for Grundlagen ... to 0.90 for Approximat ...)
Alternative Names
Höllig, K.
Höllig, K. (Klaus)
Languages
English (56)
German (6)
Covers