Article

Giesl, Peter and Wendland, Holger (2019) Construction of a contraction metric by meshless collocation. Discrete and Continuous Dynamical Systems - Series B, 24 (8). pp. 3843-3863. ISSN 1531-3492

Giesl, Peter and Wendland, Holger (2018) Kernel-based discretisation for solving matrix-valued PDEs. SIAM Journal on Numerical Analysis, 56 (6). pp. 3386-3406. ISSN 0036-1429

Giesl, Peter and Wendland, Holger (2012) Numerical determination of the basin of attraction for asymptotically autonomous dynamical systems. Nonlinear Analysis: Theory, Methods and Applications, 75 (5). pp. 2823-2840. ISSN 0362-546X

Giesl, Peter and Wendland, Holger (2011) Numerical determination of the basin of attraction for exponentially asymptotically autonomous dynamical systems. Nonlinear Analysis: Theory, Methods and Applications, 74 (10). pp. 3191-3203. ISSN 0362-546X

Giesl, Peter and Wendland, Holger (2009) Approximating the basin of attraction of time-periodic ODEs by meshless collocation. Discrete and Continuous Dynamical Systems - Series A, 25 (4). pp. 1249-1274. ISSN 1078-0947

Sloan, Ian H and Wendland, Holger (2009) Inf-sup condition for spherical polynomials and radial basis functions on spheres. Mathematics of Computation, 78 (267). pp. 1319-1331. ISSN 0025-5718

Rütten, Markus, Alrutz, Thomas and Wendland, Holger (2008) A vortex axis and vortex core border grid adaptation algorithm. International Journal for Numerical Methods in Fluids, 58 (12). pp. 1379-1405. ISSN 0271-2091

Dyn, Nira, Iske, Armin and Wendland, Holger (2008) Meshfree thinning of 3d point clouds. Foundations of Computational Mathematics, 8. pp. 409-425. ISSN 1615-3375

Ahrem, R, Beckert, A and Wendland, H (2007) Recovering rotations in aeroelasticity. Journal of Fluids and Structures, 23 (6). pp. 874-884. ISSN 0889-9746

Giesl, Peter and Wendland, Holger (2007) Meshless Collocation: Error estimates with application to dynamical systems. SIAM Journal on Numerical Analysis, 45 (4). pp. 1723-1741. ISSN 1095-7170

Narcowich, Francis J, Sun, Xingping, Ward, Jospeh D and Wendland, Holger (2007) Direct and inverse Sobolev error estimates for scattered data interpolation via spherical basis functions. Foundations of Computational Mathematics, 7 (3). pp. 369-390. ISSN 1615-3375

Wendland, Holger (2007) On the stability of meshless symmetric collocation for boundary value problems. BIT Numerical Mathematics, 47 (2). pp. 455-468. ISSN 0006-3835

Le Gia, Q T, Narcowich, F J, Ward, J D and Wendland, H (2006) Continuous and discrete least-squares approximation by radial basis functions on spheres. Journal of Approximation Theory, 143 (1). pp. 124-133. ISSN 0021-9045

Narcowich, Francis J, Ward, Joseph D and Wendland, Holger (2006) Sobolev error estimates and a Bernstein inequality for scattered data interpolation via radial basis functions. Constructive Approximation, 24 (2). pp. 175-186. ISSN 0176-4276

Schaback, Robert and Wendland, Holger (2006) Kernel techniques: From machine learning to meshless methods. Acta Numerica, 15. pp. 543-639. ISSN 0962-4929

Wendland, Holger, Ahrem, Regine and Beckert, Armin (2006) A meshless spatial coupling scheme for large-scale fluid-structure-interaction problems. Computer Modeling in Engineering and Sciences, 12 (2). pp. 121-136. ISSN 1526-1492

Wendland, Holger and Rieger, Christian (2005) Approximate interpolation with applications to selecting smoothing parameters. Numerische Mathematik, 101 (4). pp. 729-748. ISSN 0029-599X

De Marchi, Stefano, Schaback, Robert and Wendland, Holger (2005) Near-optimal data-independent point locations for radial basis function interpolation. Advances in Computational Mathematics, 23 (3). pp. 317-330. ISSN 1019-7168

Narcowich, Francis J, Ward, Joseph D and Wendland, Holger (2005) Sobolev bounds on functions with scattered zeros, with applications to radial basis function surface fitting. Mathematics of Computation, 74 (250). pp. 743-763. ISSN 0025-5718

Wendland, Holger (2005) On the convergence of a general class of finite volume methods. SIAM Journal on Numerical Analysis, 43 (3). pp. 987-1002. ISSN 0036-1429

Narcowich, FJ, Ward, J D and Wendland, H (2003) Refined error estimates for radial basis function interpolation. Constructive Approximation, 19 (4). pp. 541-564. ISSN 0176-4276

Schaback, Robert and Wendland, Holger (2002) Inverse and saturation theorems for radial basis function interpolation. Mathematics of Computation, 71 (23-). pp. 669-681. ISSN 0025-5718

Wendland, Holger (2001) Local polynomial reproduction and moving least squares approximation. IMA Journal of Numerical Analysis, 21 (1). pp. 285-300. ISSN 0272-4979

Beckert, Armin and Wendland, Holger (2001) Multivariate interpolation for fluid-structure-interpolation problems using radial basis functions. Aerospace, Science and Technology, 5 (2). pp. 125-134. ISSN 1270-9638

Schaback, Robert and Wendland, Holger (2000) Adaptive greedy techniques for approximate solution of large rbf systems. Numerical Algorithms, 24 (3). pp. 239-254. ISSN 1017-1398

Wendland, Holger (1999) Meshless Galerkin methods using radial basis functions. Mathematics of Computation, 68 (228). pp. 1521-1531. ISSN 0025-5718

Wendland, Holger (1999) On the smoothness of positive definite and radial functions. Journal of Computational and Applied Mathematics, 101 (1-2). pp. 177-188. ISSN 0377-0427

Wendland, Holger (1998) Error estimates for interpolation by compactly supported radial basis functions of minimal degree. Journal of Approximation Theory, 93 (2). pp. 258-272. ISSN 0021-9045

Wendland, Holger (1995) Piecewise polynomial, positive definite and compactly supported radial basis functions of minimal degree. Advances in Computational Mathematics, 4 (1). pp. 389-396. ISSN 1019-7168

Book Section

Wendland, Holger (2005) Computational aspects of radial basis function approximation. In: Jetter, K, Buhmann, M, Haussmann, W, Schaback, R and Stoeckler, J (eds.) Topics in Multivariate Approximation and Interpolation. Elsevier, B. V., pp. 231-256. ISBN 9780444518446

Wendland, Holger (2004) Reconstructing multivariate functions from large data sets. In: Haussmann, W, Jetter, K and Reimer, M (eds.) Modern Developments in Multivariate Approximation: 5th International Conference, Witten-Bommerholz (Germany), September, 2002. International Series of Numerical Mathematics, 145 . Birkhäuser Verlag, Basel, Boston and Berlin, pp. 295-308. ISBN 9783764321956

Wendland, Holger (2004) Solving large generalized interpolation problems efficiently. In: Neamtu, M and Saff, E (eds.) Advances in Constructive Approximation. Nashboro Press, Brentwood, Tennessee. ISBN 0-9728482-2-3

Wendland, Holger (2002) Fast evaluation of radial basis functions: methods based on partition of unity. In: Chui, CK, Schumaker, LL and Stoeckler, J (eds.) Approximation Theory X: Wavelets, Splines, and Applications. Vanderbilt University Press, pp. 473-483. ISBN 9780826514165

Schaback, Robert and Wendland, Holger (2002) Approximation by positive definite kernels. In: Buhmann, MD and Mache, DH (eds.) Advanced Problems in Constructive Approximation. Birkhaueser Verlag, pp. 203-221. ISBN 3-7643-6648-6

Wendland, Holger (2001) Gaussian interpolation revisited. In: Koptun, K, Lyche, T and Neamtu, M (eds.) Trends in Approximation Theory. Vanderbilt University Press, pp. 427-436. ISBN 9780826513793

Wendland, Holger (2001) Moving least squares approximation on the sphere. In: Lyche, T and Schumaker, LL (eds.) Mathematical Methods in CAGD: Oslo 2000. Vanderbilt University Press, Nashville, pp. 517-526. ISBN 9780826513786

Schaback, Robert and Wendland, Holger (2001) Characterization and construction of radial basis functions. In: Dyn, N, Leviatan, D and Pinkus, A (eds.) Multivariate Approximation and Applications. Cambridge University Press, pp. 1-24. ISBN 0521800234

Conference or Workshop Item

Giesl, Peter and Wendland, Holger (2009) Approximating the basin of attraction of time-periodic ODEs by meshless collocation of a Cauchy problem. In: Discrete Contin. Dyn. Syst. Supplement.

Wendland, Holger (2006) Spatial coupling in Aeroelasticity by meshless kernel-based methods. In: European Conference on Computational Fluid Dynamics, Egmond aan Zee, The Netherlands.

Ahrem, Regine, Beckert, Armin and Wendland, Holger (2005) A new multivariate interpolation method for large-scale spatial coupling problems in aeroelasticity. In: International Forum on Aeroelasticity and Structural Dynamics (IFASD), Munich, Germany.

Book

Wendland, Holger (2005) Scattered data approximation. Cambridge Monographs on Applied and Computational Mathematics, 17 . Cambridge University Press. ISBN 9780521843355

Edited Book

Wendland, Holger (1997) Sobolev-type error estimates for interpolation by radial basis functions. Surface Fitting and Multiresolution Methods . Vanderbilt University Press.