Dell’Accio, Francesco; Sommariva, Alvise; Vianello, Marco Random sampling and unisolvent interpolation by almost everywhere analytic functions. (English) Zbl 07727108 Appl. Math. Lett. 145, Article ID 108734, 6 p. (2023). MSC: 41Axx 65Dxx 65Nxx PDF BibTeX XML Cite \textit{F. Dell'Accio} et al., Appl. Math. Lett. 145, Article ID 108734, 6 p. (2023; Zbl 07727108) Full Text: DOI arXiv
Mirzaei, Davoud; Soodbakhsh, Navid A fault detection method based on partition of unity and kernel approximation. (English) Zbl 07720465 Numer. Algorithms 93, No. 4, 1759-1794 (2023). MSC: 65D05 65D07 PDF BibTeX XML Cite \textit{D. Mirzaei} and \textit{N. Soodbakhsh}, Numer. Algorithms 93, No. 4, 1759--1794 (2023; Zbl 07720465) Full Text: DOI
Gourdain, P.-A.; Adams, M. B.; Evans, M.; Hasson, H. R.; Young, J. R.; West-Abdallah, I. A fully implicit method using nodal radial basis functions to solve the linear advection equation. (English) Zbl 07709148 Int. J. Numer. Anal. Model. 20, No. 3, 437-458 (2023). MSC: 65D12 65F05 35F50 35F46 65D05 35L65 PDF BibTeX XML Cite \textit{P. A. Gourdain} et al., Int. J. Numer. Anal. Model. 20, No. 3, 437--458 (2023; Zbl 07709148) Full Text: DOI arXiv
Abedian, Rooholah; Dehghan, Mehdi The formulation of finite difference RBFWENO schemes for hyperbolic conservation laws: an alternative technique. (English) Zbl 07682867 Adv. Appl. Math. Mech. 15, No. 4, 1023-1055 (2023). MSC: 65M06 35L65 PDF BibTeX XML Cite \textit{R. Abedian} and \textit{M. Dehghan}, Adv. Appl. Math. Mech. 15, No. 4, 1023--1055 (2023; Zbl 07682867) Full Text: DOI
Schaback, Robert Small errors imply large evaluation instabilities. (English) Zbl 07681470 Adv. Comput. Math. 49, No. 2, Paper No. 25, 27 p. (2023). MSC: 41Axx 65D05 65D12 65D15 PDF BibTeX XML Cite \textit{R. Schaback}, Adv. Comput. Math. 49, No. 2, Paper No. 25, 27 p. (2023; Zbl 07681470) Full Text: DOI
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp Summation-by-parts operators for general function spaces. (English) Zbl 07679126 SIAM J. Numer. Anal. 61, No. 2, 733-754 (2023). MSC: 65M12 65M60 65M70 65D25 65T40 65D12 PDF BibTeX XML Cite \textit{J. Glaubitz} et al., SIAM J. Numer. Anal. 61, No. 2, 733--754 (2023; Zbl 07679126) Full Text: DOI arXiv
Chen, Chuin-Shan; Noorizadegan, Amir; Young, D. L.; Chen, C. S. On the selection of a better radial basis function and its shape parameter in interpolation problems. (English) Zbl 1511.65013 Appl. Math. Comput. 442, Article ID 127713, 14 p. (2023). MSC: 65D05 41A30 15A06 41A63 65D12 PDF BibTeX XML Cite \textit{C.-S. Chen} et al., Appl. Math. Comput. 442, Article ID 127713, 14 p. (2023; Zbl 1511.65013) Full Text: DOI
Yaghouti, Mohammad Reza; Farshadmoghadam, Farnaz Choosing the best value of shape parameter in radial basis functions by leave-P-out cross validation. (English) Zbl 07665298 Comput. Methods Differ. Equ. 11, No. 1, 108-129 (2023). MSC: 65D05 65D15 65M70 PDF BibTeX XML Cite \textit{M. R. Yaghouti} and \textit{F. Farshadmoghadam}, Comput. Methods Differ. Equ. 11, No. 1, 108--129 (2023; Zbl 07665298) Full Text: DOI
Li, Yang; Liu, Dejun; Yin, Zhexu; Chen, Yun; Meng, Jin Adaptive selection strategy of shape parameters for LRBF for solving partial differential equations. (English) Zbl 1511.65023 Appl. Math. Comput. 440, Article ID 127645, 16 p. (2023). MSC: 65D32 65N35 41A05 41A30 65D05 PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Math. Comput. 440, Article ID 127645, 16 p. (2023; Zbl 1511.65023) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra An adaptive residual sub-sampling algorithm for kernel interpolation based on maximum likelihood estimations. (English) Zbl 1497.65018 J. Comput. Appl. Math. 418, Article ID 114658, 14 p. (2023). MSC: 65D05 65D12 65D15 PDF BibTeX XML Cite \textit{R. Cavoretto} and \textit{A. De Rossi}, J. Comput. Appl. Math. 418, Article ID 114658, 14 p. (2023; Zbl 1497.65018) Full Text: DOI
Ghalichi, Shabnam Sadat Seyed; Amirfakhrian, Majid; Allahviranloo, Tofigh An algorithm for choosing a good shape parameter for radial basis functions method with a case study in image processing. (English) Zbl 07630836 Results Appl. Math. 16, Article ID 100337, 20 p. (2022). MSC: 65Dxx 41Axx 65Nxx PDF BibTeX XML Cite \textit{S. S. S. Ghalichi} et al., Results Appl. Math. 16, Article ID 100337, 20 p. (2022; Zbl 07630836) Full Text: DOI
Arefian, Sara; Mirzaei, Davoud A compact radial basis function partition of unity method. (English) Zbl 07625586 Comput. Math. Appl. 127, 1-11 (2022). MSC: 65D05 41A05 65N35 65M70 65D15 PDF BibTeX XML Cite \textit{S. Arefian} and \textit{D. Mirzaei}, Comput. Math. Appl. 127, 1--11 (2022; Zbl 07625586) Full Text: DOI
Li, Shanshan; Duan, Yong; Bai, Libing On the meshless quasi-interpolation methods for solving 2D sine-Gordon equations. (English) Zbl 1513.65016 Comput. Appl. Math. 41, No. 8, Paper No. 348, 21 p. (2022). MSC: 65D05 65D12 65D15 65F10 65M12 PDF BibTeX XML Cite \textit{S. Li} et al., Comput. Appl. Math. 41, No. 8, Paper No. 348, 21 p. (2022; Zbl 1513.65016) Full Text: DOI
Karageorghis, Andreas; Chen, C. S. Training RBF neural networks for the solution of elliptic boundary value problems. (English) Zbl 07609000 Comput. Math. Appl. 126, 196-211 (2022). MSC: 65N35 68T05 92B20 65D05 65D12 PDF BibTeX XML Cite \textit{A. Karageorghis} and \textit{C. S. Chen}, Comput. Math. Appl. 126, 196--211 (2022; Zbl 07609000) Full Text: DOI
Sun, Zhengjie; Ling, Leevan A kernel-based meshless conservative Galerkin method for solving Hamiltonian wave equations. (English) Zbl 1503.65248 SIAM J. Sci. Comput. 44, No. 4, A2789-A2807 (2022). Reviewer: Ivana Linkeová (Praha) MSC: 65M60 65N40 65D05 65D12 65M12 35Q53 PDF BibTeX XML Cite \textit{Z. Sun} and \textit{L. Ling}, SIAM J. Sci. Comput. 44, No. 4, A2789--A2807 (2022; Zbl 1503.65248) Full Text: DOI arXiv
Baxter, Brad; Brummelhuis, Raymond Convergence estimates for stationary radial basis function interpolation and for semi-discrete collocation-schemes. (English) Zbl 1511.41001 J. Fourier Anal. Appl. 28, No. 3, Paper No. 53, 62 p. (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A05 41A25 47G30 65D12 PDF BibTeX XML Cite \textit{B. Baxter} and \textit{R. Brummelhuis}, J. Fourier Anal. Appl. 28, No. 3, Paper No. 53, 62 p. (2022; Zbl 1511.41001) Full Text: DOI
Mokhtaram, M. H.; Noor, M. A. Mohd; Nazir, M. Z. Jamil Abd; Abidin, A. R. Zainal; Yassin, A. Y. Mohd Coupling of NURBS and meshfree RPIM for plane stress of web with openings. (English) Zbl 07511094 Eng. Anal. Bound. Elem. 138, 266-279 (2022). MSC: 74-XX 81-XX PDF BibTeX XML Cite \textit{M. H. Mokhtaram} et al., Eng. Anal. Bound. Elem. 138, 266--279 (2022; Zbl 07511094) Full Text: DOI
Kaarnioja, Vesa; Kazashi, Yoshihito; Kuo, Frances Y.; Nobile, Fabio; Sloan, Ian H. Fast approximation by periodic kernel-based lattice-point interpolation with application in uncertainty quantification. (English) Zbl 1495.41003 Numer. Math. 150, No. 1, 33-77 (2022). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 41A63 65D07 65D15 65T40 PDF BibTeX XML Cite \textit{V. Kaarnioja} et al., Numer. Math. 150, No. 1, 33--77 (2022; Zbl 1495.41003) Full Text: DOI arXiv
Bjornsson, Hjortur; Hafstein, Sigurdur Advanced algorithm for interpolation with Wendland functions. (English) Zbl 1510.65003 Gusikhin, Oleg (ed.) et al., Informatics in control, automation and robotics. 16th international conference, ICINCO 2019 Prague, Czech Republic, July 29–31, 2019, Revised selected papers. Cham: Springer. Lect. Notes Electr. Eng. 720, 99-117 (2021). MSC: 65-04 65D05 65D12 PDF BibTeX XML Cite \textit{H. Bjornsson} and \textit{S. Hafstein}, Lect. Notes Electr. Eng. 720, 99--117 (2021; Zbl 1510.65003) Full Text: DOI
Skala, Vaclav Efficient Taylor expansion computation of multidimensional vector functions on GPU. (English) Zbl 1499.41094 Ann. Math. Inform. 54, 83-95 (2021). MSC: 41A58 26B05 65D05 PDF BibTeX XML Cite \textit{V. Skala}, Ann. Math. Inform. 54, 83--95 (2021; Zbl 1499.41094) Full Text: DOI
Hussain, Manzoor; Haq, Sirajul Numerical solutions of strongly non-linear generalized Burgers-Fisher equation via meshfree spectral technique. (English) Zbl 1480.65282 Int. J. Comput. Math. 98, No. 9, 1727-1748 (2021). MSC: 65M70 65M06 35K20 35Q92 PDF BibTeX XML Cite \textit{M. Hussain} and \textit{S. Haq}, Int. J. Comput. Math. 98, No. 9, 1727--1748 (2021; Zbl 1480.65282) Full Text: DOI
Seyednazari, Salar; Tatari, Mehdi; Mirzaei, Davoud Error and stability estimates of a least-squares variational kernel-based method for second order elliptic PDEs. (English) Zbl 07447570 Comput. Math. Appl. 103, 1-11 (2021). MSC: 65N30 65N35 41A63 65N15 41A05 PDF BibTeX XML Cite \textit{S. Seyednazari} et al., Comput. Math. Appl. 103, 1--11 (2021; Zbl 07447570) Full Text: DOI arXiv
Le, Thi Thuy Van; Le-Cao, Khoa; Duc-Tran, Hieu A radial basis neural network approximation with extended precision for solving partial differential equations. (English) Zbl 1515.65305 Phuong, Nguyen Hoang (ed.) et al., Soft computing: biomedical and related applications. Cham: Springer. Stud. Comput. Intell. 981, 201-211 (2021). MSC: 65N35 65D12 68T07 65F35 41A05 41A30 41A25 PDF BibTeX XML Cite \textit{T. T. Van Le} et al., Stud. Comput. Intell. 981, 201--211 (2021; Zbl 1515.65305) Full Text: DOI
Zhang, Shengliang A highly accurate RBF quasi-interpolation method for approximating the derivatives. (English) Zbl 1476.65028 Comput. Appl. Math. 40, No. 6, Paper No. 224, 14 p. (2021). MSC: 65D25 41A05 65D12 65M15 65M20 PDF BibTeX XML Cite \textit{S. Zhang}, Comput. Appl. Math. 40, No. 6, Paper No. 224, 14 p. (2021; Zbl 1476.65028) Full Text: DOI
Farazandeh, Elham; Mirzaei, Davoud A rational RBF interpolation with conditionally positive definite kernels. (English) Zbl 1489.65027 Adv. Comput. Math. 47, No. 5, Paper No. 74, 21 p. (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A20 41A05 PDF BibTeX XML Cite \textit{E. Farazandeh} and \textit{D. Mirzaei}, Adv. Comput. Math. 47, No. 5, Paper No. 74, 21 p. (2021; Zbl 1489.65027) Full Text: DOI
Ma, Houbiao; Zhang, Yahui An improved cell-based smoothed radial point interpolation method using condensed shape functions for 3D interior acoustic problems. (English) Zbl 1506.74497 Comput. Methods Appl. Mech. Eng. 380, Article ID 113805, 24 p. (2021). MSC: 74S99 65D12 74J05 PDF BibTeX XML Cite \textit{H. Ma} and \textit{Y. Zhang}, Comput. Methods Appl. Mech. Eng. 380, Article ID 113805, 24 p. (2021; Zbl 1506.74497) Full Text: DOI
Marchetti, F. The extension of Rippa’s algorithm beyond LOOCV. (English) Zbl 07410091 Appl. Math. Lett. 120, Article ID 107262, 6 p. (2021). MSC: 65D05 41A05 65D15 41A63 65D12 PDF BibTeX XML Cite \textit{F. Marchetti}, Appl. Math. Lett. 120, Article ID 107262, 6 p. (2021; Zbl 07410091) Full Text: DOI
Barcelos, Hercules de Melo; Loeffler, Carlos Friedrich; Lara, Luciano de Oliveira Castro The direct interpolation boundary element method and the domain superposition technique applied to piecewise Helmholtz’s problems with internal heterogeneity. (English) Zbl 07390964 Eng. Anal. Bound. Elem. 131, 41-50 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{H. de M. Barcelos} et al., Eng. Anal. Bound. Elem. 131, 41--50 (2021; Zbl 07390964) Full Text: DOI
Giesl, Peter; Hafstein, Sigurdur; Mehrabinezhad, Iman Computation and verification of contraction metrics for periodic orbits. (English) Zbl 1471.34076 J. Math. Anal. Appl. 503, No. 2, Article ID 125309, 32 p. (2021). MSC: 34C25 34D20 34D05 65L07 PDF BibTeX XML Cite \textit{P. Giesl} et al., J. Math. Anal. Appl. 503, No. 2, Article ID 125309, 32 p. (2021; Zbl 1471.34076) Full Text: DOI
Campagna, Rosanna; Perracchione, Emma Data-driven extrapolation via feature augmentation based on variably scaled thin plate splines. (English) Zbl 1470.65015 J. Sci. Comput. 88, No. 1, Paper No. 15, 17 p. (2021). MSC: 65D07 65D10 65D15 41A05 PDF BibTeX XML Cite \textit{R. Campagna} and \textit{E. Perracchione}, J. Sci. Comput. 88, No. 1, Paper No. 15, 17 p. (2021; Zbl 1470.65015) Full Text: DOI arXiv
Kazem, Saeed; Hatam, A. Scattered data interpolation: strictly positive definite radial basis/cardinal functions. (English) Zbl 1503.65033 J. Comput. Appl. Math. 394, Article ID 113580, 17 p. (2021). MSC: 65D12 65D05 PDF BibTeX XML Cite \textit{S. Kazem} and \textit{A. Hatam}, J. Comput. Appl. Math. 394, Article ID 113580, 17 p. (2021; Zbl 1503.65033) Full Text: DOI
Álvarez, Diego; González-Rodríguez, Pedro; Kindelan, Manuel A local radial basis function method for the Laplace-Beltrami operator. (English) Zbl 1475.65141 J. Sci. Comput. 86, No. 3, Paper No. 28, 20 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 65N06 65M12 65D12 65D05 35R01 58J05 35K57 92C15 92B25 PDF BibTeX XML Cite \textit{D. Álvarez} et al., J. Sci. Comput. 86, No. 3, Paper No. 28, 20 p. (2021; Zbl 1475.65141) Full Text: DOI arXiv
Breton, Louis; González-Casanova, Pedro; Montoya, Cristhian RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems. (English) Zbl 1461.65017 Comput. Appl. Math. 40, No. 1, Paper No. 15, 35 p. (2021). MSC: 65D12 93B05 76D07 PDF BibTeX XML Cite \textit{L. Breton} et al., Comput. Appl. Math. 40, No. 1, Paper No. 15, 35 p. (2021; Zbl 1461.65017) Full Text: DOI
Young, D. L.; Lin, Shin-Ruei; Chen, Chuin-Shan; Chen, C. S. Two-step MPS-MFS ghost point method for solving partial differential equations. (English) Zbl 07351731 Comput. Math. Appl. 94, 38-46 (2021). MSC: 65N35 65D05 35J05 35J25 65N38 PDF BibTeX XML Cite \textit{D. L. Young} et al., Comput. Math. Appl. 94, 38--46 (2021; Zbl 07351731) Full Text: DOI
Cavoretto, Roberto Adaptive radial basis function partition of unity interpolation: a bivariate algorithm for unstructured data. (English) Zbl 1467.65006 J. Sci. Comput. 87, No. 2, Paper No. 41, 24 p. (2021). MSC: 65D05 65D12 65D15 41A05 PDF BibTeX XML Cite \textit{R. Cavoretto}, J. Sci. Comput. 87, No. 2, Paper No. 41, 24 p. (2021; Zbl 1467.65006) Full Text: DOI
Glaubitz, Jan; Gelb, Anne Stabilizing radial basis function methods for conservation laws using weakly enforced boundary conditions. (English) Zbl 1478.65095 J. Sci. Comput. 87, No. 2, Paper No. 40, 29 p. (2021). Reviewer: Philipp Öffner (Mainz) MSC: 65M70 65M20 65D12 65M12 35L65 41A05 41A30 65D05 PDF BibTeX XML Cite \textit{J. Glaubitz} and \textit{A. Gelb}, J. Sci. Comput. 87, No. 2, Paper No. 40, 29 p. (2021; Zbl 1478.65095) Full Text: DOI arXiv
Cavoretto, R.; De Rossi, A.; Mukhametzhanov, M. S.; Sergeyev, Ya. D. On the search of the shape parameter in radial basis functions using univariate global optimization methods. (English) Zbl 1470.65012 J. Glob. Optim. 79, No. 2, 305-327 (2021). MSC: 65D12 65D05 65D15 90C26 65K05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Glob. Optim. 79, No. 2, 305--327 (2021; Zbl 1470.65012) Full Text: DOI
Burkardt, John; Wu, Yixuan; Zhang, Yanzhi A unified meshfree pseudospectral method for solving both classical and fractional PDEs. (English) Zbl 1471.65207 SIAM J. Sci. Comput. 43, No. 2, A1389-A1411 (2021). MSC: 65N35 65D12 65R20 41A05 35R11 PDF BibTeX XML Cite \textit{J. Burkardt} et al., SIAM J. Sci. Comput. 43, No. 2, A1389--A1411 (2021; Zbl 1471.65207) Full Text: DOI arXiv
Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro Correction to: “Kernel-based interpolation at approximate Fekete points”. (English) Zbl 1475.41001 Numer. Algorithms 87, No. 1, 469-471 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A30 65D05 65D12 PDF BibTeX XML Cite \textit{T. Karvonen} et al., Numer. Algorithms 87, No. 1, 469--471 (2021; Zbl 1475.41001) Full Text: DOI
Karvonen, Toni; Särkkä, Simo; Tanaka, Ken’ichiro Kernel-based interpolation at approximate Fekete points. (English) Zbl 07340131 Numer. Algorithms 87, No. 1, 445-468 (2021); correction ibid. 87, No. 1, 469-471 (2021). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A30 65D05 65D12 PDF BibTeX XML Cite \textit{T. Karvonen} et al., Numer. Algorithms 87, No. 1, 445--468 (2021; Zbl 07340131) Full Text: DOI arXiv
Barthelmé, Simon; Usevich, Konstantin Spectral properties of kernel matrices in the flat limit. (English) Zbl 1458.15012 SIAM J. Matrix Anal. Appl. 42, No. 1, 17-57 (2021). MSC: 15A15 15A18 47A55 47A75 47B34 60G15 65D05 PDF BibTeX XML Cite \textit{S. Barthelmé} and \textit{K. Usevich}, SIAM J. Matrix Anal. Appl. 42, No. 1, 17--57 (2021; Zbl 1458.15012) Full Text: DOI arXiv
Giesl, Peter; Hafstein, Sigurdur; Mehrabinezhad, Iman Computation and verification of contraction metrics for exponentially stable equilibria. (English) Zbl 1458.65154 J. Comput. Appl. Math. 390, Article ID 113332, 22 p. (2021). MSC: 65N35 65N15 65D12 37B25 34D20 PDF BibTeX XML Cite \textit{P. Giesl} et al., J. Comput. Appl. Math. 390, Article ID 113332, 22 p. (2021; Zbl 1458.65154) Full Text: DOI arXiv
Emamjomeh, M.; Abbasbandy, S.; Rostamy, D. Quasi interpolation of radial basis functions-pseudospectral method for solving nonlinear Klein-Gordon and sine-Gordon equations. (English) Zbl 1482.65207 Iran. J. Numer. Anal. Optim. 10, No. 1, 81-106 (2020). MSC: 65N22 65L06 65N35 PDF BibTeX XML Cite \textit{M. Emamjomeh} et al., Iran. J. Numer. Anal. Optim. 10, No. 1, 81--106 (2020; Zbl 1482.65207) Full Text: DOI
Zhu, Shengxin Summation of Gaussian shifts as Jacobi’s third theta function. (English) Zbl 1490.65012 Math. Found. Comput. 3, No. 3, 157-163 (2020). MSC: 65D05 65D12 PDF BibTeX XML Cite \textit{S. Zhu}, Math. Found. Comput. 3, No. 3, 157--163 (2020; Zbl 1490.65012) Full Text: DOI arXiv
Ghehsareh, Hadi Roohani; Zabetzadeh, Sayyed Mahmood A meshless computational approach for solving two-dimensional inverse time-fractional diffusion problem with non-local boundary condition. (English) Zbl 1475.65104 Inverse Probl. Sci. Eng. 28, No. 12, 1773-1795 (2020). MSC: 65M32 65M60 65M70 65N30 65D12 60K50 35R30 26A33 35R11 PDF BibTeX XML Cite \textit{H. R. Ghehsareh} and \textit{S. M. Zabetzadeh}, Inverse Probl. Sci. Eng. 28, No. 12, 1773--1795 (2020; Zbl 1475.65104) Full Text: DOI
Cuomo, Salvatore; Di Somma, Vittorio; Sica, Federica A note on the numerical resolution of Heston PDEs. (English) Zbl 1466.65060 Ric. Mat. 69, No. 2, 501-508 (2020). Reviewer: Xiaofei Zhao (Wuhan) MSC: 65M06 65M70 65D05 65D12 91G20 91G60 PDF BibTeX XML Cite \textit{S. Cuomo} et al., Ric. Mat. 69, No. 2, 501--508 (2020; Zbl 1466.65060) Full Text: DOI
Buhmann, Martin D.; De Marchi, Stefano; Perracchione, Emma Analysis of a new class of rational RBF expansions. (English) Zbl 1465.65014 IMA J. Numer. Anal. 40, No. 3, 1972-1993 (2020); erratum ibid. 40, No. 4, 2941 (2020). MSC: 65D12 PDF BibTeX XML Cite \textit{M. D. Buhmann} et al., IMA J. Numer. Anal. 40, No. 3, 1972--1993 (2020; Zbl 1465.65014) Full Text: DOI
Gholamipoor, Morteza; Ghiasi, Mahmoud Wave propagation in meshless numerical wave tank by using Hermite-type RPIM. (English) Zbl 1464.76170 Eng. Anal. Bound. Elem. 121, 233-242 (2020). MSC: 76M99 65M70 65D12 76B15 PDF BibTeX XML Cite \textit{M. Gholamipoor} and \textit{M. Ghiasi}, Eng. Anal. Bound. Elem. 121, 233--242 (2020; Zbl 1464.76170) Full Text: DOI
He, Rui; Zhang, Jianming; Suliman; Yang, Le; Lin, Weicheng A new implementation of DRM with dual interpolation boundary face method for Poisson equation. (English) Zbl 1464.65205 Eng. Anal. Bound. Elem. 121, 21-30 (2020). MSC: 65N35 PDF BibTeX XML Cite \textit{R. He} et al., Eng. Anal. Bound. Elem. 121, 21--30 (2020; Zbl 1464.65205) Full Text: DOI
Drake, Kathryn P.; Wright, Grady B. A stable algorithm for divergence-free radial basis functions in the flat limit. (English) Zbl 1437.65009 J. Comput. Phys. 417, Article ID 109595, 8 p. (2020). MSC: 65D12 65D05 PDF BibTeX XML Cite \textit{K. P. Drake} and \textit{G. B. Wright}, J. Comput. Phys. 417, Article ID 109595, 8 p. (2020; Zbl 1437.65009) Full Text: DOI arXiv
Hesthaven, Jan S.; Mönkeberg, Fabian Two-dimensional RBF-ENO method on unstructured grids. (English) Zbl 1437.65118 J. Sci. Comput. 82, No. 3, Paper No. 76, 24 p. (2020). MSC: 65M08 35L65 65D05 65M12 35Q31 PDF BibTeX XML Cite \textit{J. S. Hesthaven} and \textit{F. Mönkeberg}, J. Sci. Comput. 82, No. 3, Paper No. 76, 24 p. (2020; Zbl 1437.65118) Full Text: DOI
De Marchi, S.; Erb, W.; Marchetti, F.; Perracchione, E.; Rossini, M. Shape-driven interpolation with discontinuous kernels: error analysis, edge extraction, and applications in magnetic particle imaging. (English) Zbl 1444.65006 SIAM J. Sci. Comput. 42, No. 2, B472-B491 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A05 41A25 65D05 PDF BibTeX XML Cite \textit{S. De Marchi} et al., SIAM J. Sci. Comput. 42, No. 2, B472--B491 (2020; Zbl 1444.65006) Full Text: DOI arXiv
Esmaeilbeigi, M.; Chatrabgoun, O.; Hosseinian-Far, A.; Montasari, R.; Daneshkhah, A. A low cost and highly accurate technique for big data spatial-temporal interpolation. (English) Zbl 1444.65007 Appl. Numer. Math. 153, 492-502 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 41A30 41A63 PDF BibTeX XML Cite \textit{M. Esmaeilbeigi} et al., Appl. Numer. Math. 153, 492--502 (2020; Zbl 1444.65007) Full Text: DOI Link
Nakano, Yumiharu Correction to: “Kernel-based collocation methods for Zakai equations”. (English) Zbl 1431.60061 Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 262-263 (2020). MSC: 60H15 65M70 93E11 PDF BibTeX XML Cite \textit{Y. Nakano}, Stoch. Partial Differ. Equ., Anal. Comput. 8, No. 1, 262--263 (2020; Zbl 1431.60061) Full Text: DOI
Karimi, N.; Kazem, S.; Ahmadian, D.; Adibi, H.; Ballestra, L. V. On a generalized Gaussian radial basis function: analysis and applications. (English) Zbl 1464.65013 Eng. Anal. Bound. Elem. 112, 46-57 (2020). MSC: 65D05 41A05 PDF BibTeX XML Cite \textit{N. Karimi} et al., Eng. Anal. Bound. Elem. 112, 46--57 (2020; Zbl 1464.65013) Full Text: DOI
Campos, Lucas Silveira; Loeffler, Carlos Friedrich; Netto, Fabrício Oliveira; dos Santos, Áquila de Jesus Testing the accomplishment of the radial integration method with the direct interpolation boundary element technique for solving Helmholtz problems. (English) Zbl 1464.74245 Eng. Anal. Bound. Elem. 110, 16-23 (2020). MSC: 74S15 65M38 PDF BibTeX XML Cite \textit{L. S. Campos} et al., Eng. Anal. Bound. Elem. 110, 16--23 (2020; Zbl 1464.74245) Full Text: DOI
De Marchi, Stefano; Wendland, Holger On the convergence of the rescaled localized radial basis function method. (English) Zbl 1468.65011 Appl. Math. Lett. 99, Article ID 105996, 7 p. (2020). MSC: 65D05 41A30 65D12 PDF BibTeX XML Cite \textit{S. De Marchi} and \textit{H. Wendland}, Appl. Math. Lett. 99, Article ID 105996, 7 p. (2020; Zbl 1468.65011) Full Text: DOI Link
Segeth, Karel Multivariate smooth interpolation that employs polyharmonic functions. (English) Zbl 1463.65010 Chleboun, J. (ed.) et al., Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24–29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 140-148 (2019). MSC: 65D05 41A05 41A63 31B30 42A38 PDF BibTeX XML Cite \textit{K. Segeth}, in: Programs and algorithms of numerical mathematics 19. Proceedings of the 19th seminar (PANM), Hejnice, Czech Republic, June 24--29, 2018. Prague: Academy of Sciences of the Czech Republic, Institute of Mathematics. 140--148 (2019; Zbl 1463.65010) Full Text: DOI
Zhong, De-Yun; Wang, Li-Guan; Bi, Lin Implicit surface reconstruction based on generalized radial basis functions interpolant with distinct constraints. (English) Zbl 1481.65038 Appl. Math. Modelling 71, 408-420 (2019). MSC: 65D17 65D12 PDF BibTeX XML Cite \textit{D.-Y. Zhong} et al., Appl. Math. Modelling 71, 408--420 (2019; Zbl 1481.65038) Full Text: DOI
Sokolov, Andriy; Davydov, Oleg; Kuzmin, Dmitri; Westermann, Alexander; Turek, Stefan A flux-corrected RBF-FD method for convection dominated problems in domains and on manifolds. (English) Zbl 1447.65030 J. Numer. Math. 27, No. 4, 253-269 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 65M06 65M70 65M12 65D05 76R50 PDF BibTeX XML Cite \textit{A. Sokolov} et al., J. Numer. Math. 27, No. 4, 253--269 (2019; Zbl 1447.65030) Full Text: DOI Link
Nakano, Yumiharu Kernel-based collocation methods for Zakai equations. (English) Zbl 1431.60060 Stoch. Partial Differ. Equ., Anal. Comput. 7, No. 3, 476-494 (2019); correction ibid. 8, No. 1, 262-263 (2019). MSC: 60H15 65M70 93E11 PDF BibTeX XML Cite \textit{Y. Nakano}, Stoch. Partial Differ. Equ., Anal. Comput. 7, No. 3, 476--494 (2019; Zbl 1431.60060) Full Text: DOI arXiv
Kormann, Katharina; Lasser, Caroline; Yurova, Anna Stable interpolation with isotropic and anisotropic Gaussians using Hermite generating function. (English) Zbl 07141501 SIAM J. Sci. Comput. 41, No. 6, A3839-A3859 (2019). MSC: 65D05 65D15 65F35 41A63 33C45 PDF BibTeX XML Cite \textit{K. Kormann} et al., SIAM J. Sci. Comput. 41, No. 6, A3839--A3859 (2019; Zbl 07141501) Full Text: DOI arXiv
Bayona, Víctor Comparison of moving least squares and RBF+poly for interpolation and derivative approximation. (English) Zbl 1462.65020 J. Sci. Comput. 81, No. 1, 486-512 (2019). MSC: 65D07 PDF BibTeX XML Cite \textit{V. Bayona}, J. Sci. Comput. 81, No. 1, 486--512 (2019; Zbl 1462.65020) Full Text: DOI Link
Harris, Michael F.; Kassab, Alain J.; Divo, Eduardo A shock-capturing meshless scheme using RBF blended interpolation and moving least squares. (English) Zbl 1464.65012 Eng. Anal. Bound. Elem. 109, 81-93 (2019). MSC: 65D05 PDF BibTeX XML Cite \textit{M. F. Harris} et al., Eng. Anal. Bound. Elem. 109, 81--93 (2019; Zbl 1464.65012) Full Text: DOI
Buhmann, M. D.; Jódar, J.; Rodríguez, M. L. Radial discrete PDE splines on Lipschitz domains. (English) Zbl 1428.65099 J. Math. Anal. Appl. 479, No. 1, 214-241 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N35 65D07 35J30 65N12 65N15 PDF BibTeX XML Cite \textit{M. D. Buhmann} et al., J. Math. Anal. Appl. 479, No. 1, 214--241 (2019; Zbl 1428.65099) Full Text: DOI
Hesthaven, Jan S.; Mönkeberg, Fabian Entropy stable essentially nonoscillatory methods based on RBF reconstruction. (English) Zbl 1437.35484 ESAIM, Math. Model. Numer. Anal. 53, No. 3, 925-958 (2019). Reviewer: Jan Glaubitz (Hanover) MSC: 35L65 65M12 65M06 65M08 65D05 PDF BibTeX XML Cite \textit{J. S. Hesthaven} and \textit{F. Mönkeberg}, ESAIM, Math. Model. Numer. Anal. 53, No. 3, 925--958 (2019; Zbl 1437.35484) Full Text: DOI
Karageorghis, Andreas; Tryfonos, Pinelopi Determination of shape parameter in RBF approximation. (English) Zbl 1418.65007 Cheng, Alexander H.-D. (ed.) et al., Boundary elements and other mesh reduction methods XXXXI. Selected papers based on the presentations at the 41st international conference (BEM/MRM), New Forest, UK, September 11–13, 2018. Southampton: WIT Press. WIT Trans. Eng. Sci. 122, 153-162 (2019). MSC: 65D05 41A63 41A05 65H10 PDF BibTeX XML Cite \textit{A. Karageorghis} and \textit{P. Tryfonos}, WIT Trans. Eng. Sci. 122, 153--162 (2019; Zbl 1418.65007) Full Text: Link
Kumar, Sushil; Piret, Cécile Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials. (English) Zbl 1419.65082 Appl. Numer. Math. 143, 300-315 (2019). MSC: 65M70 41A50 65D05 35R11 PDF BibTeX XML Cite \textit{S. Kumar} and \textit{C. Piret}, Appl. Numer. Math. 143, 300--315 (2019; Zbl 1419.65082) Full Text: DOI
De Marchi, S.; Martínez, A.; Perracchione, E.; Rossini, M. RBF-based partition of unity methods for elliptic PDEs: adaptivity and stability issues via variably scaled kernels. (English) Zbl 1415.65026 J. Sci. Comput. 79, No. 1, 321-344 (2019). MSC: 65D05 65N35 65N12 PDF BibTeX XML Cite \textit{S. De Marchi} et al., J. Sci. Comput. 79, No. 1, 321--344 (2019; Zbl 1415.65026) Full Text: DOI
Ahmadvand, M.; Esmaeilbeigi, M.; Kamandi, A.; Yaghoobi, F. M. A novel hybrid trust region algorithm based on nonmonotone and LOOCV techniques. (English) Zbl 1414.90320 Comput. Optim. Appl. 72, No. 2, 499-524 (2019). MSC: 90C30 65D05 65K10 90C20 90C56 PDF BibTeX XML Cite \textit{M. Ahmadvand} et al., Comput. Optim. Appl. 72, No. 2, 499--524 (2019; Zbl 1414.90320) Full Text: DOI
Sun, Zhengjie A meshless symplectic method for two-dimensional nonlinear Schrödinger equations based on radial basis function approximation. (English) Zbl 1436.41006 Eng. Anal. Bound. Elem. 104, 1-7 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A25 65D15 65N40 PDF BibTeX XML Cite \textit{Z. Sun}, Eng. Anal. Bound. Elem. 104, 1--7 (2019; Zbl 1436.41006) Full Text: DOI
Le Borne, Sabine Factorization, symmetrization, and truncated transformation of radial basis function-GA stabilized Gaussian radial basis functions. (English) Zbl 07062411 SIAM J. Matrix Anal. Appl. 40, No. 2, 517-541 (2019). MSC: 65D12 65D05 65D15 65F05 65F30 65F35 PDF BibTeX XML Cite \textit{S. Le Borne}, SIAM J. Matrix Anal. Appl. 40, No. 2, 517--541 (2019; Zbl 07062411) Full Text: DOI
Piltner, Reinhard Some remarks on Trefftz type approximations. (English) Zbl 1464.74380 Eng. Anal. Bound. Elem. 101, 102-112 (2019). MSC: 74S70 65N35 PDF BibTeX XML Cite \textit{R. Piltner}, Eng. Anal. Bound. Elem. 101, 102--112 (2019; Zbl 1464.74380) Full Text: DOI
Azarboni, Habibe Ramezannezhad; Keyanpour, Mohammad; Yaghouti, Mohammadreza Leave-two-out cross validation to optimal shape parameter in radial basis functions. (English) Zbl 1464.65011 Eng. Anal. Bound. Elem. 100, 204-210 (2019). MSC: 65D05 41A05 41A30 PDF BibTeX XML Cite \textit{H. R. Azarboni} et al., Eng. Anal. Bound. Elem. 100, 204--210 (2019; Zbl 1464.65011) Full Text: DOI
Romani, Lucia; Rossini, Milvia; Schenone, Daniela Edge detection methods based on RBF interpolation. (English) Zbl 1440.65026 J. Comput. Appl. Math. 349, 532-547 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D12 65D15 65D18 PDF BibTeX XML Cite \textit{L. Romani} et al., J. Comput. Appl. Math. 349, 532--547 (2019; Zbl 1440.65026) Full Text: DOI
Diederichs, Benedikt; Iske, Armin Improved estimates for condition numbers of radial basis function interpolation matrices. (English) Zbl 1407.41003 J. Approx. Theory 238, 38-51 (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A63 65D05 PDF BibTeX XML Cite \textit{B. Diederichs} and \textit{A. Iske}, J. Approx. Theory 238, 38--51 (2019; Zbl 1407.41003) Full Text: DOI
Zheng, Hui; Yao, Guangming; Kuo, Lei-Hsin; Li, Xinxiang On the selection of a good shape parameter of the localized method of approximated particular solutions. (English) Zbl 1488.65696 Adv. Appl. Math. Mech. 10, No. 4, 896-911 (2018). MSC: 65N35 35J05 65D05 PDF BibTeX XML Cite \textit{H. Zheng} et al., Adv. Appl. Math. Mech. 10, No. 4, 896--911 (2018; Zbl 1488.65696) Full Text: DOI
Dong, Zhaonan; Georgoulis, Emmanuil H.; Levesley, Jeremy; Usta, Fuat A multilevel sparse kernel-based stochastic collocation finite element method for elliptic problems with random coefficients. (English) Zbl 1442.65365 Comput. Math. Appl. 76, No. 8, 1950-1965 (2018). MSC: 65N30 65N75 35R60 PDF BibTeX XML Cite \textit{Z. Dong} et al., Comput. Math. Appl. 76, No. 8, 1950--1965 (2018; Zbl 1442.65365) Full Text: DOI Link
Stolbunov, Valentin; Nair, Prasanth B. Sparse radial basis function approximation with spatially variable shape parameters. (English) Zbl 1427.65014 Appl. Math. Comput. 330, 170-184 (2018). MSC: 65D05 41A30 65D15 PDF BibTeX XML Cite \textit{V. Stolbunov} and \textit{P. B. Nair}, Appl. Math. Comput. 330, 170--184 (2018; Zbl 1427.65014) Full Text: DOI
Oqielat, Moa’ath N. Comparison of surface fitting methods for modelling leaf surface. (English) Zbl 07088414 Ital. J. Pure Appl. Math. 40, 215-226 (2018). MSC: 65-XX 41-XX PDF BibTeX XML Cite \textit{M. N. Oqielat}, Ital. J. Pure Appl. Math. 40, 215--226 (2018; Zbl 07088414) Full Text: Link
Dehghan, Mehdi; Abbaszadeh, Mostafa A combination of proper orthogonal decomposition-discrete empirical interpolation method (POD-DEIM) and meshless local RBF-DQ approach for prevention of groundwater contamination. (English) Zbl 1409.76095 Comput. Math. Appl. 75, No. 4, 1390-1412 (2018). MSC: 76M22 76M10 65M70 86A05 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{M. Abbaszadeh}, Comput. Math. Appl. 75, No. 4, 1390--1412 (2018; Zbl 1409.76095) Full Text: DOI
Sarra, Scott A. Radial basis function methods – reduced computational expense by exploiting symmetry. (English) Zbl 1407.65224 Numer. Methods Partial Differ. Equations 34, No. 6, 2008-2023 (2018). MSC: 65M70 35K57 65D05 65F35 PDF BibTeX XML Cite \textit{S. A. Sarra}, Numer. Methods Partial Differ. Equations 34, No. 6, 2008--2023 (2018; Zbl 1407.65224) Full Text: DOI
Li, Xinxiang; Dangal, Thir; Lei, Bin Localized method of approximate particular solutions with polynomial basis functions. (English) Zbl 1404.65295 Eng. Anal. Bound. Elem. 97, 16-22 (2018). MSC: 65N35 65D05 PDF BibTeX XML Cite \textit{X. Li} et al., Eng. Anal. Bound. Elem. 97, 16--22 (2018; Zbl 1404.65295) Full Text: DOI
Zala, Vidhi; Shankar, Varun; Sastry, Shankar P.; Kirby, Robert M. Curvilinear mesh adaptation using radial basis function interpolation and smoothing. (English) Zbl 06993426 J. Sci. Comput. 77, No. 1, 397-418 (2018). MSC: 65-XX 30E05 41A05 PDF BibTeX XML Cite \textit{V. Zala} et al., J. Sci. Comput. 77, No. 1, 397--418 (2018; Zbl 06993426) Full Text: DOI arXiv
Krowiak, Artur Domain-type RBF collocation methods for biharmonic problems. (English) Zbl 1404.65294 Int. J. Comput. Methods 15, No. 8, Article ID 1850078, 20 p. (2018). MSC: 65N35 PDF BibTeX XML Cite \textit{A. Krowiak}, Int. J. Comput. Methods 15, No. 8, Article ID 1850078, 20 p. (2018; Zbl 1404.65294) Full Text: DOI
Hamm, Keaton; Ledford, Jeff Cardinal interpolation with general multiquadrics: convergence rates. (English) Zbl 1394.41001 Adv. Comput. Math. 44, No. 4, 1205-1233 (2018). MSC: 41A05 41A25 41A30 41A63 42B15 PDF BibTeX XML Cite \textit{K. Hamm} and \textit{J. Ledford}, Adv. Comput. Math. 44, No. 4, 1205--1233 (2018; Zbl 1394.41001) Full Text: DOI arXiv
Bozzini, Mira; Rabut, Christophe; Rossini, Milvia Decomposition and reconstruction of multidimensional signals by radial functions with tension parameters. (English) Zbl 1396.41017 Adv. Comput. Math. 44, No. 4, 1003-1040 (2018). MSC: 41A30 41A05 65D05 PDF BibTeX XML Cite \textit{M. Bozzini} et al., Adv. Comput. Math. 44, No. 4, 1003--1040 (2018; Zbl 1396.41017) Full Text: DOI Link
Sun, Zhengjie; Wu, Zongmin Meshless conservative scheme for multivariate nonlinear Hamiltonian PDEs. (English) Zbl 1396.41015 J. Sci. Comput. 76, No. 2, 1168-1187 (2018). MSC: 41A25 41A05 65D15 65N40 PDF BibTeX XML Cite \textit{Z. Sun} and \textit{Z. Wu}, J. Sci. Comput. 76, No. 2, 1168--1187 (2018; Zbl 1396.41015) Full Text: DOI
Liu, Zhiyong Local multilevel scattered data interpolation. (English) Zbl 1403.41004 Eng. Anal. Bound. Elem. 92, 101-107 (2018). MSC: 41A30 41A05 65D05 65D10 PDF BibTeX XML Cite \textit{Z. Liu}, Eng. Anal. Bound. Elem. 92, 101--107 (2018; Zbl 1403.41004) Full Text: DOI
Mehrabi, H.; Voosoghi, B. On estimating the curvature attributes and strain invariants of deformed surface through radial basis functions. (English) Zbl 06912448 Comput. Appl. Math. 37, No. 2, 978-995 (2018). MSC: 65D05 65D10 PDF BibTeX XML Cite \textit{H. Mehrabi} and \textit{B. Voosoghi}, Comput. Appl. Math. 37, No. 2, 978--995 (2018; Zbl 06912448) Full Text: DOI
Esmaeilbeigi, M.; Chatrabgoun, O.; Shafa, Maryam Scattered data fitting of Hermite type by a weighted meshless method. (English) Zbl 1396.65024 Adv. Comput. Math. 44, No. 3, 673-691 (2018). MSC: 65D10 65D15 65F20 PDF BibTeX XML Cite \textit{M. Esmaeilbeigi} et al., Adv. Comput. Math. 44, No. 3, 673--691 (2018; Zbl 1396.65024) Full Text: DOI
Zhou, Zhe; Bai, Fusheng An adaptive framework for costly black-box global optimization based on radial basis function interpolation. (English) Zbl 1401.90178 J. Glob. Optim. 70, No. 4, 757-781 (2018). MSC: 90C26 PDF BibTeX XML Cite \textit{Z. Zhou} and \textit{F. Bai}, J. Glob. Optim. 70, No. 4, 757--781 (2018; Zbl 1401.90178) Full Text: DOI
Sarra, Scott A.; Bai, Yikun A rational radial basis function method for accurately resolving discontinuities and steep gradients. (English) Zbl 1397.65209 Appl. Numer. Math. 130, 131-142 (2018). MSC: 65M70 65D05 41A05 41A20 65F15 PDF BibTeX XML Cite \textit{S. A. Sarra} and \textit{Y. Bai}, Appl. Numer. Math. 130, 131--142 (2018; Zbl 1397.65209) Full Text: DOI
Cavoretto, Roberto; Schneider, Teseo; Zulian, Patrick OpenCL based parallel algorithm for RBF-PUM interpolation. (English) Zbl 1383.65011 J. Sci. Comput. 74, No. 1, 267-289 (2018). MSC: 65D05 65Y05 65Y20 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 74, No. 1, 267--289 (2018; Zbl 1383.65011) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Perracchione, Emma Optimal selection of local approximants in RBF-PU interpolation. (English) Zbl 1383.65010 J. Sci. Comput. 74, No. 1, 1-22 (2018). MSC: 65D05 PDF BibTeX XML Cite \textit{R. Cavoretto} et al., J. Sci. Comput. 74, No. 1, 1--22 (2018; Zbl 1383.65010) Full Text: DOI arXiv
Zhang, Shengliang; Yang, Yu; Yang, Hongqiang A meshless symplectic algorithm for nonlinear wave equation using highly accurate RBFs quasi-interpolation. (English) Zbl 1427.65315 Appl. Math. Comput. 314, 110-120 (2017). MSC: 65M70 35L71 37K06 65M15 65M20 PDF BibTeX XML Cite \textit{S. Zhang} et al., Appl. Math. Comput. 314, 110--120 (2017; Zbl 1427.65315) Full Text: DOI
Farrell, Patricio; Gillow, Kathryn; Wendland, Holger Multilevel interpolation of divergence-free vector fields. (English) Zbl 1433.65101 IMA J. Numer. Anal. 37, No. 1, 332-353 (2017). MSC: 65J10 41A30 65D05 PDF BibTeX XML Cite \textit{P. Farrell} et al., IMA J. Numer. Anal. 37, No. 1, 332--353 (2017; Zbl 1433.65101) Full Text: DOI Link
Kansa, Edward J.; Holoborodko, Pavel On the ill-conditioned nature of \(C^\infty\) RBF strong collocation. (English) Zbl 1403.65160 Eng. Anal. Bound. Elem. 78, 26-30 (2017). MSC: 65N35 65D05 41A05 PDF BibTeX XML Cite \textit{E. J. Kansa} and \textit{P. Holoborodko}, Eng. Anal. Bound. Elem. 78, 26--30 (2017; Zbl 1403.65160) Full Text: DOI
Loeffler, Carlos Friedrich; Mansur, Webe João A regularization scheme applied to the direct interpolation boundary element technique with radial basis functions for solving eigenvalue problem. (English) Zbl 1403.65127 Eng. Anal. Bound. Elem. 74, 14-18 (2017). MSC: 65N25 65N35 PDF BibTeX XML Cite \textit{C. F. Loeffler} and \textit{W. J. Mansur}, Eng. Anal. Bound. Elem. 74, 14--18 (2017; Zbl 1403.65127) Full Text: DOI
De Marchi, Stefano; Idda, Andrea; Santin, Gabriele A rescaled method for RBF approximation. (English) Zbl 1385.65017 Fasshauer, Gregory E. (ed.) et al., Approximation theory XV: San Antonio 2016. Selected papers based on the presentations at the international conference, San Antonio, TX, USA, May 22–25, 2016. Cham: Springer (ISBN 978-3-319-59911-3/hbk; 978-3-319-59912-0/ebook). Springer Proceedings in Mathematics & Statistics 201, 39-59 (2017). MSC: 65D05 41A20 PDF BibTeX XML Cite \textit{S. De Marchi} et al., Springer Proc. Math. Stat. 201, 39--59 (2017; Zbl 1385.65017) Full Text: DOI arXiv