Armin Iske's preprints are at the University of Hamburg
Davoud Mirzaei's home page is here.Christian Rieger's homepage is here.
Holger Wendland's preprints are at Univ. of Oxford
Barbara Zwicknagl's
homepage is here
R. Schaback's more or less complete publication list is here.
MATLAB Programming for Kernel-Based Methods pdf
Scaling Radial Basis Functions (with E. Larsson, Univ. Uppsala) pdf
The Meshless Kernel-Based Method of Lines for Solving Nonlinear Evolution Equations, pdf MATLAB
Geometry of Kernel--Based Spaces
Towards Kernel--Based Meshless Methods for the Incompressible
Navier--Stokes Equation
Spectrally Optimized Derivative Formulae, pdf MATLAB
Analysis of Designer Kernels
Bases for Conditionally Positive Definite Kernels (2012, with M. Pazouki) pdf MATLAB programs
Interpolation and Approximation in Taylor Spaces (2012, with B. Zwicknagl, Carnegie-Mellon) pdf
A Posteriori Error Estimates for Meshless Methods,
6-page abstract for
ECCOMAS 2007, pdf
Why Does MLPG Work?
Accepted paper for a keynote lecture in
ICCES
07,
2006, pdf
Results on Meshless Collocation Techniques (with L. Ling and
R.
Opfer),
Engineering Analysis with Boundary Elements, Volume 30, Issue 4, 2006, 247-253 pdf,
online
version
Kernel-B-Splines and Interpolation (with M. Bozzini and L.
Lenarduzzi) later pdf older pdf,
Numerical Algorithms
41 (2006) p.
1-16
Neu-TeX-ung 2005 der älteren Arbeit "Die Beiträge von
Carl-Friedrich Gauß zur Numerischen Mathematik" pdf
Multivariate Interpolation by Polynomials and Radial Basis
Functions,
Constructive Approximation 21, p. 293-317, 2005
pdf
file
Near-optimal Data-independent Point Locations for Radial Basis
Function
Interpolation (with St. de Marchi and H. Wendland),
Adv. in Comp. Math.
23, 317- 330, 2005, pdf
On Adaptive Unsymmetric Meshless Collocation (with L. Ling),
Proceedings of the 2004
International Conference on Computational & Experimental
Engineering and Sciences (Forsyth, USA) (S.N. Atluri and
A.J.B.
Tadeu, eds.),
CD-ROM, Advances in Computational & Experimental
Engineering & Sciences, Tech Science Press, 2004, paper #
270 pdf
Interpolation by Basis Functions of Different Scales and
Shapes
(with M. Bozzini, L. Lenarduzzi, M. Rossini),
CALCOLO 41, 77-87 (2004), pdf
On the Versatility of Meshless Kernel Methods,
Advances in
Computational and Experimental Engineering and Sciences,
eds. S.N.
Atluri, D.E. Beskos, D. Polyzos, CD ROM, ICCES proceedings paper #428,
2003 pdf
An Adaptive Greedy Algorithm for Solving Large RBF Collocation
Problems (with Y.C. Hon and X. Zhou),
Numerical Algorithms 32 (2003),
13-25, pdf
Mathematical Results Concerning Kernel Techniques,
Proceedings
of
the 13th IFAC Symposium on System Identification, 2003 pdf
Recent Developments in the Dual Reciprocity Method Using
Compactly
Supported Radial Basis Functions (with C.S. Chen and M. A.
Golberg), in:
Transformation of Domain Effects to the Boundary, ed. Y.F. Rashed and
C.A. Brebbia,, 2003,
Advances in Boundary Elements 14,WIT Press,
Southampton, Boston, 138-225, pdf
Approximation by Positive Definite Kernels (with H. Wendland),
in:
Advanced Problems in Constructive Approximation
(M.D. Buhmann and D.H. Mache, eds.), International Series in Numerical
Mathematics 142 (2002) 203-221 pdf
Stability of Radial Basis Function Interpolants, Approximation
Theory X: Wavelets, Splines, and Applications (C.K. Chui, L.L.
Schumaker, and J. Stöckler, eds.)
Vanderbilt Univ. Press, Nashville 2002, p. 433-440 pdf
Inverse and saturation theorems for radial basis function interpolation (with H. Wendlland), Mathematics of Computation 71 (2002), 669-681 early pdf later pdf
Adaptive Interpolation by Scaled Multiquadrics (with M. Bozzini and L. Lenarduzzi), Adv. in Comp. Math.16 (2002), 375-387 ps
Approximation in Sobolev Spaces by Kernel Expansions (with F.J. Narcowich and J.D. Ward), J. of Approx. Th. 114 (2002) 70-83 pdf
Optimal Stability Results for Interpolation by Kernel Functions (with F.J. Narcowich and J.D. Ward), preprint 2001 pdf
Characterization and Construction of Radial Basis Functions
(with H.
Wendland),
in: Multivariate Approximation and Applications (N. Dyn, D. Leviatan,
D. Levin, and A. Pinkus, eds.),
Cambridge University Press, 2001, p.1-24 pdf
Adaptive greedy techniques for approximate solution of large rbf systems (with H. Wendland) , Numerical Algorithms 24 (2000), 239-254 earlier pdf pdf
Remarks on Meshless Local Construction of Surfaces, invited
survey,
The mathematics of surfaces IX (eds: R. Cipolla et. al. )
Proceedings of the Ninth IMA Conference on the Mathematics of Surfaces
, Springer, 2000 pdf
Numerical Techniques Based on Radial Basis Functions (with H.
Wendland),
in: Curve and Surface Fitting: Saint-Malo 1999 (invited
lecture)
, Albert Cohen, Christophe Rabut, and Larry L. Schumaker (eds.),
Vanderbilt University Press, 2000, p.
359-374 pdf
A Unified Theory of Radial Basis Functions (Native Hilbert
Spaces
for Radial Basis Functions II),
J. of Computational and Applied Mathematics 121 (2000)
165--177
pdf
On Unsymmetric Collocation by Radial Basis Functions (with.
Y.C.
Hon),
Journal of Applied Mathematics and Computation 119, 177-186,
2001 pdf
Using compactly supported radial basis functions to solve
partial
differential equations (with H. Wendland),
in Boundary Element Technology XIII (invited lecture) , Chen, C. S. and
Brebbia, C. A. and Pepper, D. W. (eds), WitPress,
Southampton,
Boston, 1999, 311--324 pdf
Native Hilbert Spaces for Radial Basis Functions I,
International Series of Numerical Mathematics 132 (1999),
Birkhäuser Verlag, 255-282,
---> pdf
file (71 Kb)
Multilevel Interpolation and Approximation
(with F.
Narcowich & J. Ward, Texas A&M University),
Appl. Comput. Harmonic Anal., 7 (1999) 243-261 pdf
Mathematical model of a LIF-fibre optic sensor head for trace
detection in soil
(with U. Bünting, F. Lewitzka, and P. Karlitschek),
Applied Spectroscopy 53 ,49-56 (1999)
Improved Error Bounds for Scattered Data Interpolation by
Radial
Basis Functions,
Math. Comp. 68 (1999), 201-216 ---> pdf
Optimal Geometric Hermite Interpolation of Curves,
preprint 1997 for Lillehammer proceedings (invited
lecture) pdf
Convergence Order Estimates of Meshless Collocation Methods
using
Radial Basis Functions (with C. Franke),
Advances in Computational Mathematics, Volume 8, Issue 4, June 1998,
pp. 381-399 ---> pdf
************ bis hier durchgesehen, 13.1.2012 ***************************
Solving Partial Differential Equations by Collocation using
Radial
Basis Functions (with C. Franke),
Applied Mathematics and Computation, Volume 93, Issue 1, June 1998, pp.
73-82
---> abstractgezipped
ps file (82 Kb)
Radial Basis Functions Viewed from Cubic Splines,
in: Multivariate Approximation and Splines, G. Nürnberger, J.W.
Schmidt, and G. Walz (eds.),
Birkhäuser 1997, pp. 245-258 ---> abstractgzipped ps file (51 Kb)
Construction Techniques for Highly Accurate
Quasi-Interpolation
Operators (with Z. Wu),
J. of Approx. Th. 91 (1997) pp. 320-331
---> abstractgzipped ps file (48 Kb)
Optimal Recovery of Functions in Translation-invariant Spaces
of
Functions,
Annals of Numerical Mathematics 4 (1997) pp.
547-555
---> abstractgzipped ps file (40 Kb)
On the Efficiency of Interpolation by Radial Basis Functions,
in: A. LeMéhauté, C. Rabut, and L.L Schumaker (eds.):
Proceedings of Chamonix 1996, pp. 309-318
---> abstractgzipped ps file (45 Kb)
Multivariate Interpolation and Approximation by Translates of
a
Basis Function,
Approximation Theory VIII (invited lecture), C.K. Chui , L.L. Schumaker
(eds),
Vanderbilt University Press 1996, 25 pages, survey
---> abstractgezipped
ps file (74 Kb) pdf
file (85 Kb)
Operators on radial functions (with Z. Wu),
J. of Computational and Appl. Math. 73 (1996) pp.
257-270
---> pdf
file
Approximation by Radial Basis Functions with Finitely Many
Centers,
Constructive Approximation 12 (1996) pp. 331-340
---> pdf file (51 Kb)
Error Estimates and Condition Numbers for Radial Basis
Function
Interpolation,
Advances in Computational Mathematics 3 (1995) pp. 251-264
---> pdf file pdf file of Table 2
Creating Surfaces from Scattered Data Using Radial Basis
Functions,
Mathematical Methods in Computer Aided Geometric Design III,
M. Dæhlen, T. Lyche and L.L. Schumaker (eds.), Vanderbilt Univ.
Press, 1995, pp. 477-496
---> pdf file
Lower Bounds for Norms of Inverses of Interpolation Matrices
for
Radial Basis Functions,
J. of Approx. Th. 79 (1994) pp. 287-306
---> pdf
file
Reproduction of Polynomials by Radial Basis Functions,
Wavelets, Images, and Surface Fitting, P.J. Laurent, A.
LeMéhauté, and L.L. Schumaker (eds.),
AKPeters, 1994, pp. 459-466 ---> pdf
file
Limits of Bernstein-Bézier Curves for Periodic Control Nets
(with Dong-Xu Qi),
J. of Approximation Theory and Applications 10 (1994) pp.
5-16 ---> pdf file
Shape preserving properties and convergence of univariate
multiquadric quasi-interpolation (with Z. Wu),
Acta Math. Appl. Sin., Engl. Ser. 10, No. 4, pp. 441-446 (1994)
---> pdf
file
Local Error Estimates for Radial Basis Function Interpolation
of
Scattered Data (with Z. Wu),
IMA J. Numer. Anal. 13 (1993) pp. 13-27
---> pdf
file
Comparison of Radial Basis Function Interpolants,
in K. Jetter, L.L. Schumaker and F. Utreras (eds.):
``Multivariate Approximations: From CAGD to Wavelets'',
World Scientific, 1993, pp. 293-305
---> pdf
Planar Curve Interpolation by Piecewise Conics of Arbitrary
Type,
Constr. Approx. 9, 1993, pp. 373-389
---> pdf
Error Estimates for Approximations from Control Nets,
CAGD 10, 1993, pp. 57-66 ---> pdf
A Parallel Multistage Method for Surface-Surface Intersection
(with
H. Bürger)
in R.E. Barnhill, W. Boehm, and J. Hoschek (eds.):
Freiformkurven und -flächen, Proceedings of an Oberwolfach
conference,
CAGD 10, 1993, pp. 277-291 ---> pdf file 1 pdf file 2
A Multi-Parameter Method for Nonlinear Least-Squares
Approximation,
in D. Braess and L.L Schumaker (eds.): Numerical Methods of
Approximation Theory 9,
ISNM 105, Birkhäuser, 1992, pp. 269-283 ---> pdf
Rational Geometric Curve Interpolation,
in T. Lyche and L.L. Schumaker (eds.):
``Mathematical Methods in Computer Aided Geometric Design II'',
Academic Press, 1992, pp. 517-535, survey
---> pdf
Numerische Mathematik (with H. Werner),
4. edition, completely rewritten and in one volume,
Springer Verlag, 1992, 326 pages
Geometrical differentiation and high-accuracy curve
interpolation,
in S.P. Singh (ed.): Approximation Theory, Spline Functions, and
Applications,
NATO ASI Series C, Vol. 356, Kluwer, 1992, pp.
445-462
---> pdf
An Extended Continuous Newton Method (with I. Diener),
Journal of Optimization Theory and Applications 67, 1990, pp. 87-107 ---> pdf
Remarks on High Accuracy Planar Curve Interpolation,
short preprint 1990, not submitted
---> pdf
Adaptive Rational Splines,
Constructive Approximation 6, 1990, pp. 167-179
---> pdf
Interpolation in IR2
by piecewise quadratic
visually C2 Bézier
polynomials,
Computer Aided Geometric Design 6, 1989, pp.
219-233
---> pdf
Convergence of Planar Curve Interpolation Schemes,
in C.K. Chui, L.L. Schumaker and J.D. Ward (eds): Approximation Theory
VI, 1989, pp. 581-584
---> pdf
On Global GC2
Convexity Preserving Interpolation
of Planar Curves by Piecewise Bézier Polynomials,
in T. Lyche and L.L. Schumaker (eds.): Mathematical Methods in Computer
Aided Geometric Design,
Academic Press 1989, 539-547 ---> pdf
On the expected sublinearity of the Boyer-Moore algorithm,
SIAM J. of Computing 17, 1988, pp. 648-658
---> pdf
Die Beiträge von Carl-Friedrich Gauß zur Numerischen
Mathematik, Lecture 1977,
pdf