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Selected Articles

 
 
  1. K. Höllig, Approximationszahlen von Sobolev-Einbettungen, Math. Annalen 242 (1979), 273-281.
  2. C. de Boor, R. DeVore and K. Höllig, Mixed norm n-width, Proc. Amer. Math. Soc. 80 (1980), 577-583.
  3. C. de Boor and K. Höllig, Recurrence relations for multivariate B-splines, Proc. Amer. Math. Soc. 85 (1982), 397-399.
  4. K. Höllig, Existence of infinitely many solutions for a forward-backward heat equation, Trans. Amer. Math. Soc. 278 (1983), 299-316.
  5. C. de Boor and K. Höllig, Approximation order from bivariate C1-cubics: A counterexample, Proc. Amer. Math. Soc. 87 (1983), 649-655.
  6. K. Höllig and J. Nohel, A nonlinear integral equation occuring in a singular free boundary problem, Trans. Amer. Math. Soc. 283 (1984), 145-155.
  7. C. de Boor, K. Höllig and S.D. Riemenschneider, Convergence of bivariate cardinal interpolation, Constructive Approximation 1 (1985), 183-193.
  8. K. Höllig and H.-O. Kreiss, C infinity-regularity for the porous medium equation, Mathematische Zeitschrift 192 (1986), 217-224.
  9. C. de Boor, K. Höllig and S.D. Riemenschneider, Convergence of cardinal series, Proc. Amer. Math. Soc. 98 (1986), 457-460.
  10. K. Höllig, Geometric continuity of spline curves and surfaces, Lecture notes, ACM SIGGRAPH '86, Dallas, 1986.
  11. A. Friedman and K. Höllig, On the Mesa Problem, J. Math. Anal. Appl. 123 (1987), 564-571.
  12. K. Höllig and C.A. Micchelli, Divided differences, hyperbolic equations and lifting of distributions, Constructive Approximation 3 (1987), 143-156.
  13. C. de Boor, K. Höllig and M. Sabin, High accuracy geometric Hermite interpolation, Computer-Aided Geometric Design 4 (1987), 269-278.
  14. C. de Boor, K. Höllig and S. Riemenschneider, Fundamental solutions for multivariate difference equations, Amer. Math. J. 111 (1989), 403-415.
  15. K. Höllig and C. de Boor, Box-spline tilings, Amer. Math. Monthly 98 (1991), 793-802.
  16. K. Höllig and J. Koch, Geometric Hermite interpolation with maximal order and smoothness. CAGD 13 (1996), 681-695.
  17. K. Höllig, Stability of the B-spline basis via knot insertion. CAGD 17(5) (2000), 447-450.
  18. K. Höllig, U. Reif and J. Wipper, Weighted extended B-spline approximation of Dirichlet problems. SIAM Journal on Numerical Analysis 39(2) (2001), 442-462.
  19. K. Höllig, U. Reif, J. Wipper, Multigrid methods with web-splines. Numerische Mathematik 91(2) (2002), 237-256.
  20. K. Höllig, U. Reif, Nonuniform Web-Splines. Computer Aided Geometric Design 20 (2003), 277-294.
  21. K. Höllig, C. Apprich, A. Streit, Introduction to the web-method and its applications. Advances in Computational Mathematics, Volume 23 (2005), pp. 215-237.
  22. K. Höllig, J. Hörner and M. Pfeil, Parallel Finite Element Methods with Weighted Linear B-Splines. High Performance Computing in Science and Engineering '07, eds. W.E. Nagel, D. Kr�ner, and M. Resch, Springer (2008), 667-676.
  23. K. Höllig, J. Hörner and A. Hoffacker, Finite Element Analysis with b-splines: weighted and isogeometric methods, to appear in Proc. Curves and Surfaces, Avignon, 2010
  24. K. Höllig and J. Hörner, Programming Multigrid Methods with B-Splines, Stuttgarter Mathematische Berichte 2011-016