Mohebalizadeh, Hamed; Fasshauer, Gregory E.; Adibi, Hojatollah Reproducing kernels of Sobolev-Slobodecki\u{j} spaces via Green’s kernel approach: theory and applications. (English) Zbl 07721453 Anal. Appl., Singap. 21, No. 4, 1067-1103 (2023). MSC: 41A30 65D05 82M22 35R11 58C40 46E22 PDFBibTeX XMLCite \textit{H. Mohebalizadeh} et al., Anal. Appl., Singap. 21, No. 4, 1067--1103 (2023; Zbl 07721453) Full Text: DOI
Mishra, Pankaj K.; Fasshauer, Gregory E.; Sen, Mrinal K.; Ling, Leevan A stabilized radial basis-finite difference (RBF-FD) method with hybrid kernels. (English) Zbl 1442.65324 Comput. Math. Appl. 77, No. 9, 2354-2368 (2019). MSC: 65N06 65N12 PDFBibTeX XMLCite \textit{P. K. Mishra} et al., Comput. Math. Appl. 77, No. 9, 2354--2368 (2019; Zbl 1442.65324) Full Text: DOI arXiv
Mishra, Pankaj K.; Nath, Sankar K.; Sen, Mrinal K.; Fasshauer, Gregory E. Hybrid Gaussian-cubic radial basis functions for scattered data interpolation. (English) Zbl 1406.65010 Comput. Geosci. 22, No. 5, 1203-1218 (2018). MSC: 65D10 65D05 41A30 86-08 PDFBibTeX XMLCite \textit{P. K. Mishra} et al., Comput. Geosci. 22, No. 5, 1203--1218 (2018; Zbl 1406.65010) Full Text: DOI arXiv
Fasshauer, Gregory E.; Ye, Qi Reproducing kernels of Sobolev spaces via a Green kernel approach with differential operators and boundary operators. (English) Zbl 1267.41018 Adv. Comput. Math. 38, No. 4, 891-921 (2013). MSC: 41A30 65D05 PDFBibTeX XMLCite \textit{G. E. Fasshauer} and \textit{Q. Ye}, Adv. Comput. Math. 38, No. 4, 891--921 (2013; Zbl 1267.41018) Full Text: DOI arXiv
Fasshauer, Gregory E.; Zhang, Jack G. Preconditioning of radial basis function interpolation systems via accelerated iterated approximate moving least squares approximation. (English) Zbl 1159.65320 Ferreira, A. J. M. (ed.) et al., Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9–11, 2007. Dordrecht: Springer (ISBN 978-1-4020-8820-9/hbk). Computational Methods in Applied Sciences (Springer) 11, 57-75 (2009). MSC: 65F20 65F35 65D05 PDFBibTeX XMLCite \textit{G. E. Fasshauer} and \textit{J. G. Zhang}, in: Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9--11, 2007. Dordrecht: Springer. 57--75 (2009; Zbl 1159.65320) Full Text: DOI
Ferreira, A. J. M.; Fasshauer, G. E. An RBF-pseudospectral approach for the static and vibration analysis of composite plates using a higher-order theory. (English) Zbl 1144.74383 Int. J. Comput. Methods Eng. Sci. Mech. 8, No. 5, 323-339 (2007). MSC: 74S25 74H45 74K20 PDFBibTeX XMLCite \textit{A. J. M. Ferreira} and \textit{G. E. Fasshauer}, Int. J. Comput. Methods Eng. Sci. Mech. 8, No. 5, 323--339 (2007; Zbl 1144.74383) Full Text: DOI
Fasshauer, Gregory E.; Zhang, Jack G. On choosing “optimal” shape parameters for RBF approximation. (English) Zbl 1127.65009 Numer. Algorithms 45, No. 1-4, 345-368 (2007). MSC: 65D05 65D15 65M70 35K55 65N35 35J05 PDFBibTeX XMLCite \textit{G. E. Fasshauer} and \textit{J. G. Zhang}, Numer. Algorithms 45, No. 1--4, 345--368 (2007; Zbl 1127.65009) Full Text: DOI
Kansa, E. J.; Power, H.; Fasshauer, G. E.; Ling, L. A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation. (English) Zbl 1159.76363 Eng. Anal. Bound. Elem. 28, No. 10, 1191-1206 (2004). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{E. J. Kansa} et al., Eng. Anal. Bound. Elem. 28, No. 10, 1191--1206 (2004; Zbl 1159.76363) Full Text: DOI
Fasshauer, G. E. Newton iteration with multiquadrics for the solution of nonlinear PDEs. (English) Zbl 0999.65136 Comput. Math. Appl. 43, No. 3-5, 423-438 (2002). MSC: 65N35 65N55 35J65 65H10 PDFBibTeX XMLCite \textit{G. E. Fasshauer}, Comput. Math. Appl. 43, No. 3--5, 423--438 (2002; Zbl 0999.65136) Full Text: DOI