README.1ST - Documentation for ftp account of R. Schaback, Goettingen e-mail: schaback@namu01.gwdg.de LAST CHANGE = 1996-11-08 NOTE : use command "uncompress " on *.*.Z files at the UNIX prompt after having ftp'ed the file(s) to your machine. Abstracts of preprints are in abstract.dvi.Z The following preprints are available on this directory: (appeared papers see below) Filename Author(s) Title TeX- Status Journal date -------------------------------------------------------------------------------- efficiency1.dvi.Z On the Efficiency of Inter- R.S. polation by Radial Basis Functions 96-11 P-chamonix-96 dhs.dvi.Z R.S. Remarks on High Accuracy 92-2 nsubm Geometric Hermite Interpolation bs1.ps.Z R.S. Special Cases of Compactly H.Wendland Supported Rbfs 93-12 subm CA wu3.dvi.Z Z. Wu Multivariate Compactly Supported Positive Definite rbfs 94-5 subm wu4.dvi.Z R.S. Construction Techniques Z.M. Wu for Highly Accurate Quasi- Interpolation Operators 94-12 subm texas1.dvi.Z R.S. Multivariate Interpolation and Approximation by Trans- lates of a Basis Function 95-5 tap APPVIII Abbreviations: ============= AiCM = Advances in Computational Mathematics CA = Constructive Approximation IMAJNA = IMA J. of Numerical Analysis JAT = Journal of Approximation Theory JATA = Journal of Approximation Theory and its Applications P-- = Proceedings of conference at in year nsubm = not submitted (usually because of being `too small') rbf = Radial Basis Function rev = to be revised subm = submitted tap = to appear MMCAGD = Math. Methods for Curves and Surfaces, Editors: Lyche/Daehlen/Schumaker, Vanderbilt Univ. Press, 1995 APPVIII = Approximation Theory VIII, World Scientific Publishing Co., Inc., Editors: Charles K. Chui and Larry L. Schumaker Abstracts of appeared papers are in papers.dvi.Z. The following papers have appeared in the following journals: Filename Author(s) Title date volume Journal pages ------------------------------------------------------------------------------ optimal-recovery.dvi.Z Optimal Recovery in Trans- R.S. lation-invariant Spaces of Functions 96 1 AONM ap1.dvi.Z R.S. Approximation by Rbfs with Finitely Many Centers 96 12 CA 331-340 rs-wu-operators2.dvi.Z Operators on Radial R.S. Functions 96 73 JCAM 257-270 boch1.dvi.Z Z. Wu Characterization of Posi- tive Definite Radial Functions 95 MMCAGD 573-578 iske1.dvi.Z A. Iske Characterization of Func- tion Spaces associated with Conditionally Positive Definite Functions 95 MMCAGD 265-270 ulvik.tar.Z R.S. Creating Surfaces from (see readme-ulvik.1st Scattered Data Using for information) Radial Basis Functions 95 MMCAGD 477-496 er1.dvi.Z R.S. Error Estimates and Condition Numbers for Rbf Interpolation 95 3 AICM 251-264 + er1-tabelle.dvi.Z (print with oblong format) Qi.ps.Z D.X. Qi Limits of Bernstein-Bezier R.S. Curves for Periodic Control Nets 94 10:3 JATA 1- 7 wu1.dvi.Z Z.M. Wu Local Error Estimates R.S. for rbf Interpolation of Scattered Data 93 13 IMAJNA 13- 27 RSCAGD.dvi.Z RS Interpolation with piece- wise quadratic visually C^2 Bezier polynomials 89 6 CAGD 219-233 RSCS.dvi.Z RS Convergence of planar curve interpolation scheme 89 AT VI 581-584 RSOslo.dvi,Z RS On global GC^2 convexity preserving interpolation of planar curves by piecewise Bezier polynomials 89 MMCAGDI 539-547 adaprat.dvi.Z RS Adaptive rational splines 90 6 CA 167-179 biri.ps.Z RS Rational geometric curve interpolation 92 MMCAGDII 517-535 bm.dvi.Z RS On the expected sublinea- rity of the Boyer-Moore algorithm 88 17 SIAMJCOM 648-658 ch1.dvi.Z RS Comparison of radial basis function interpolants 93 MACW 293-305 cut1-12.ps.Z RS A parallel multistage + Buerger method for surface-surface cut13-17.ps.Z intersection 93 10 CAGD 277-291 di-rs-1.dvi.Z RS An extended continuous Diener Newton method 90 67 JOTA 87-107 maratea.ps.Z RS Geometrical differentia- tion and high-accuracy curve interpolation 92 356 NASi 445-462 ow.ps.Z RS A multi-parameter method for nonlinear least- squares approximation 92 105 NMA 269-283 rat.ps.Z RS Planar curve interpola- tion by piecewise conics of arbitrary type 93 9 CA 373-389 sd.ps.Z RS Error estimates for approximations from control nets 93 10 CAGD 57- 66 chamo1.dvi.Z R.S. Reproduction of Polyno- mials by rbfs 94 WIaSF 459-466 cam.dvi.Z R.S. Lower Bounds for Norms of Inverses of Interpolation Matrices for Rbfs 94 79-2 JAT 287-306 wu2.dvi.Z Z. Wu Shape-preserving properties R.S. and convergence of uni- variate multiquadric quasi-interpolants 94 10-4 AMAS 441-446 Abbreviations: ============= AONM = Annals of Numer.\ Math. AMAS = Acta Mathematicae Applicatae Sinica AT VI = Approximation Theory VI CA = Constructive Approximation CAGD = Computer Aided--Geometric Design IMAJNA = IMA J. of Numerical Analysis JAT = Journal of Approximation Theory JCAM = Journal of Comp. and Appl. Mathematics JOTA = Journal of Optimation Theory and Applications MACW = Multivariate Approximation. From CAGD to Wavelets Editors: Jetter/Utreras MMCAGD = Math. Methods for Curves and Surfaces, Editors: Lyche/Daehlen/Schumaker, Vanderbilt Univ. Press, 1995 NASi = NATO ASI Series, Ed. S.P. Singh NMA = Numerical Methods of Approximation Theory, Proceedings, Lyche/Schumaker ISNM = Birkhaeuser, ISMN Series SIAMJCOM = SIAM Journal of Computing WIaSF = Wavelets, Images, and Surface Fitting, Editors: Laurent/LeMehaute/Schumaker NOTE: ===== The files for appeared papers do not agree with the finally published versions. COPYING THESE FILES WILL VIOLATE THE COPYRIGHTS HELD BY PUBLISHERS. ===================================================================