Davydov, Oleg Error bounds for a least squares meshless finite difference method on closed manifolds. (English) Zbl 07723889 Adv. Comput. Math. 49, No. 4, Paper No. 48, 42 p. (2023). MSC: 65N06 65K10 65D12 65N12 65N15 35R01 PDFBibTeX XMLCite \textit{O. Davydov}, Adv. Comput. Math. 49, No. 4, Paper No. 48, 42 p. (2023; Zbl 07723889) Full Text: DOI arXiv
Le Borne, Sabine; Leinen, Willi Guidelines for RBF-FD discretization: numerical experiments on the interplay of a multitude of parameter choices. (English) Zbl 1516.65010 J. Sci. Comput. 95, No. 1, Paper No. 8, 37 p. (2023). MSC: 65D12 65D25 65M12 65N35 65F22 PDFBibTeX XMLCite \textit{S. Le Borne} and \textit{W. Leinen}, J. Sci. Comput. 95, No. 1, Paper No. 8, 37 p. (2023; Zbl 1516.65010) Full Text: DOI
Wilhelm, R. Paul; Kirchhart, Matthias An interpolating particle method for the Vlasov-Poisson equation. (English) Zbl 07625391 J. Comput. Phys. 473, Article ID 111720, 21 p. (2023). MSC: 76Mxx 76Xxx 65Dxx PDFBibTeX XMLCite \textit{R. P. Wilhelm} and \textit{M. Kirchhart}, J. Comput. Phys. 473, Article ID 111720, 21 p. (2023; Zbl 07625391) Full Text: DOI arXiv
Vaghefi, Reza; Karimzadeh, Ali A 3D meshless radial basis reproducing kernel particle model for elastoplastic analysis of temperature-dependent FG plates resting on Winkler/Pasternak foundation. (English) Zbl 07789037 Eng. Anal. Bound. Elem. 144, 127-144 (2022). MSC: 74-XX 76-XX PDFBibTeX XMLCite \textit{R. Vaghefi} and \textit{A. Karimzadeh}, Eng. Anal. Bound. Elem. 144, 127--144 (2022; Zbl 07789037) Full Text: DOI
Cavoretto, Roberto Adaptive LOOCV-based kernel methods for solving time-dependent BVPs. (English) Zbl 1510.65227 Appl. Math. Comput. 429, Article ID 127228, 12 p. (2022). MSC: 65M20 65D12 65D15 PDFBibTeX XMLCite \textit{R. Cavoretto}, Appl. Math. Comput. 429, Article ID 127228, 12 p. (2022; Zbl 1510.65227) Full Text: DOI arXiv
Gavrilenko, Pavel; Haasdonk, Bernard; Iliev, Oleg; Ohlberger, Mario; Schindler, Felix; Toktaliev, Pavel; Wenzel, Tizian; Youssef, Maha A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. (English) Zbl 1501.76062 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 378-386 (2022). MSC: 76M99 76V05 68T05 PDFBibTeX XMLCite \textit{P. Gavrilenko} et al., Lect. Notes Comput. Sci. 13127, 378--386 (2022; Zbl 1501.76062) Full Text: DOI arXiv
Liu, Zheng; Wei, Gaofeng; Qin, Shaopeng; Wang, Zhiming The elastoplastic analysis of functionally graded materials using a meshfree RRKPM. (English) Zbl 1510.74013 Appl. Math. Comput. 413, Article ID 126651, 21 p. (2022). MSC: 74C05 74S22 65M70 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Math. Comput. 413, Article ID 126651, 21 p. (2022; Zbl 1510.74013) Full Text: DOI
Mesrizadeh, Mehdi; Shanazari, Kamal Meshless Galerkin method based on RBFs and reproducing kernel for quasi-linear parabolic equations with Dirichlet boundary conditions. (English) Zbl 1523.65084 Math. Model. Anal. 26, No. 2, 318-336 (2021). MSC: 65M70 35K10 35D30 65D12 PDFBibTeX XMLCite \textit{M. Mesrizadeh} and \textit{K. Shanazari}, Math. Model. Anal. 26, No. 2, 318--336 (2021; Zbl 1523.65084) Full Text: DOI
Lu, Jiashu; Nie, Yufeng A collocation method based on localized radial basis functions with reproducibility for nonlocal diffusion models. (English) Zbl 1476.65343 Comput. Appl. Math. 40, No. 8, Paper No. 271, 23 p. (2021). MSC: 65R20 45K05 45A05 65N35 PDFBibTeX XMLCite \textit{J. Lu} and \textit{Y. Nie}, Comput. Appl. Math. 40, No. 8, Paper No. 271, 23 p. (2021; Zbl 1476.65343) Full Text: DOI
Xu, Minqiang; Niu, Jing; Tohidi, Emran; Hou, Jinjiao; Jiang, Danhua A new least-squares-based reproducing kernel method for solving regular and weakly singular Volterra-Fredholm integral equations with smooth and nonsmooth solutions. (English) Zbl 1504.65295 Math. Methods Appl. Sci. 44, No. 13, 10772-10784 (2021). MSC: 65R20 45D05 45B05 46E22 PDFBibTeX XMLCite \textit{M. Xu} et al., Math. Methods Appl. Sci. 44, No. 13, 10772--10784 (2021; Zbl 1504.65295) Full Text: DOI
Cavoretto, Roberto; De Rossi, Alessandra; Erb, Wolfgang Partition of unity methods for signal processing on graphs. (English) Zbl 1473.65054 J. Fourier Anal. Appl. 27, No. 4, Paper No. 66, 29 p. (2021). MSC: 65F99 05C90 94A12 PDFBibTeX XMLCite \textit{R. Cavoretto} et al., J. Fourier Anal. Appl. 27, No. 4, Paper No. 66, 29 p. (2021; Zbl 1473.65054) Full Text: DOI arXiv
Shirzadi, Mohammad; Dehghan, Mehdi; Bastani, Ali Foroush A trustable shape parameter in the kernel-based collocation method with application to pricing financial options. (English) Zbl 1464.91076 Eng. Anal. Bound. Elem. 126, 108-117 (2021). MSC: 91G60 65M70 45K05 60G51 60H30 PDFBibTeX XMLCite \textit{M. Shirzadi} et al., Eng. Anal. Bound. Elem. 126, 108--117 (2021; Zbl 1464.91076) Full Text: DOI
Li, Wen; Rubasinghe, Kalani; Yao, Guangming; Kuo, L. H. The modified localized method of approximated particular solutions for linear and nonlinear convection-diffusion-reaction PDEs. (English) Zbl 1488.65510 Adv. Appl. Math. Mech. 12, No. 5, 1113-1136 (2020). MSC: 65M70 65M06 65N35 65D07 65M15 65D12 65F50 PDFBibTeX XMLCite \textit{W. Li} et al., Adv. Appl. Math. Mech. 12, No. 5, 1113--1136 (2020; Zbl 1488.65510) Full Text: DOI
Liu, Zheng; Wei, Gaofeng; Wang, Zhiming The radial basis reproducing kernel particle method for geometrically nonlinear problem of functionally graded materials. (English) Zbl 1481.74124 Appl. Math. Modelling 85, 244-272 (2020). MSC: 74E30 65D12 65N99 PDFBibTeX XMLCite \textit{Z. Liu} et al., Appl. Math. Modelling 85, 244--272 (2020; Zbl 1481.74124) Full Text: DOI
Wendland, Holger; Künemund, Jens Solving partial differential equations on (evolving) surfaces with radial basis functions. (English) Zbl 1455.65184 Adv. Comput. Math. 46, No. 4, Paper No. 64, 37 p. (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M70 65M20 65N30 65N35 65N06 65M15 35K58 PDFBibTeX XMLCite \textit{H. Wendland} and \textit{J. Künemund}, Adv. Comput. Math. 46, No. 4, Paper No. 64, 37 p. (2020; Zbl 1455.65184) Full Text: DOI
Liu, Zheng; Wei, Gaofeng; Wang, Zhiming Numerical solution of functionally graded materials based on radial basis reproducing kernel particle method. (English) Zbl 1464.65262 Eng. Anal. Bound. Elem. 111, 32-43 (2020). MSC: 65N75 PDFBibTeX XMLCite \textit{Z. Liu} et al., Eng. Anal. Bound. Elem. 111, 32--43 (2020; Zbl 1464.65262) Full Text: DOI
Wang, Jiarui; Wu, Junchao; Wang, Dongdong A quasi-consistent integration method for efficient meshfree analysis of Helmholtz problems with plane wave basis functions. (English) Zbl 1464.78014 Eng. Anal. Bound. Elem. 110, 42-55 (2020). MSC: 78M10 65N30 78M30 PDFBibTeX XMLCite \textit{J. Wang} et al., Eng. Anal. Bound. Elem. 110, 42--55 (2020; Zbl 1464.78014) Full Text: DOI
Wang, Dongdong; Wu, Junchao An inherently consistent reproducing kernel gradient smoothing framework toward efficient Galerkin meshfree formulation with explicit quadrature. (English) Zbl 1441.74278 Comput. Methods Appl. Mech. Eng. 349, 628-672 (2019). MSC: 74S05 65N30 PDFBibTeX XMLCite \textit{D. Wang} and \textit{J. Wu}, Comput. Methods Appl. Mech. Eng. 349, 628--672 (2019; Zbl 1441.74278) Full Text: DOI
Rafieayanzadeh, Hossein; Mohammadi, Maryam; Babolian, Esmail Numerical solution of singularly perturbed parabolic problems by a local kernel-based method with an adaptive algorithm. (English) Zbl 1449.35034 J. Math. Model. 7, No. 3, 319-336 (2019). MSC: 35B25 65M99 PDFBibTeX XMLCite \textit{H. Rafieayanzadeh} et al., J. Math. Model. 7, No. 3, 319--336 (2019; Zbl 1449.35034) Full Text: DOI
Azarnavid, Babak; Nabati, Mohammad; Emamjome, Mahdi; Parand, Kourosh Imposing various boundary conditions on positive definite kernels. (English) Zbl 1429.65282 Appl. Math. Comput. 361, 453-465 (2019). MSC: 65N35 PDFBibTeX XMLCite \textit{B. Azarnavid} et al., Appl. Math. Comput. 361, 453--465 (2019; Zbl 1429.65282) Full Text: DOI arXiv
Assari, Pouria; Dehghan, Mehdi On the numerical solution of nonlinear integral equations on non-rectangular domains utilizing thin plate spline collocation method. (English) Zbl 1450.65180 Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 83, 33 p. (2019). Reviewer: Aurelian Bejancu (Safat) MSC: 65R20 65D12 45B05 41A25 41A63 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Proc. Indian Acad. Sci., Math. Sci. 129, No. 5, Paper No. 83, 33 p. (2019; Zbl 1450.65180) Full Text: DOI
Paganini, Alberto; Sturm, Kevin Weakly normal basis vector fields in RKHS with an application to shape Newton methods. (English) Zbl 1406.49050 SIAM J. Numer. Anal. 57, No. 1, 1-26 (2019). MSC: 49Q10 49M15 93B40 PDFBibTeX XMLCite \textit{A. Paganini} and \textit{K. Sturm}, SIAM J. Numer. Anal. 57, No. 1, 1--26 (2019; Zbl 1406.49050) Full Text: DOI arXiv
Ma, Jichao; Wei, Gaofeng; Gao, Hongfen The Hermit-type reproducing kernel particle method for elasticity problems. (English) Zbl 1404.74203 Int. J. Comput. Methods 16, No. 2, Article ID 1846003, 23 p. (2019). MSC: 74S30 74B20 65N99 74B05 PDFBibTeX XMLCite \textit{J. Ma} et al., Int. J. Comput. Methods 16, No. 2, Article ID 1846003, 23 p. (2019; Zbl 1404.74203) Full Text: DOI
Nojavan, Hananeh; Abbasbandy, Saeid; Mohammadi, Maryam Local variably scaled Newton basis functions collocation method for solving Burgers’ equation. (English) Zbl 1427.65297 Appl. Math. Comput. 330, 23-41 (2018). MSC: 65M70 35Q53 PDFBibTeX XMLCite \textit{H. Nojavan} et al., Appl. Math. Comput. 330, 23--41 (2018; Zbl 1427.65297) Full Text: DOI
Ying, Yuping; Lian, Yanping; Tang, Shaoqiang; Liu, Wing Kam Enriched reproducing kernel particle method for fractional advection-diffusion equation. (English) Zbl 1404.65070 Acta Mech. Sin. 34, No. 3, 515-527 (2018). MSC: 65L10 34A08 PDFBibTeX XMLCite \textit{Y. Ying} et al., Acta Mech. Sin. 34, No. 3, 515--527 (2018; Zbl 1404.65070) Full Text: DOI
Mohammadi, Maryam; Saberi Zafarghandi, Fahimeh; Babolian, Esmail; Jvadi, Shahnam A local reproducing kernel method accompanied by some different edge improvement techniques: application to the Burgers’ equation. (English) Zbl 1397.65206 Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 857-871 (2018). MSC: 65M70 PDFBibTeX XMLCite \textit{M. Mohammadi} et al., Iran. J. Sci. Technol., Trans. A, Sci. 42, No. 2, 857--871 (2018; Zbl 1397.65206) Full Text: DOI
Zhang, Ting; Wei, Gaofeng; Ma, Jichao; Gao, Hongfen Radial basis reproducing kernel particle method for piezoelectric materials. (English) Zbl 1403.74331 Eng. Anal. Bound. Elem. 92, 171-179 (2018). MSC: 74S30 65N35 74F15 PDFBibTeX XMLCite \textit{T. Zhang} et al., Eng. Anal. Bound. Elem. 92, 171--179 (2018; Zbl 1403.74331) Full Text: DOI
Aggarwal, Charu C. Neural networks and deep learning. A textbook. (English) Zbl 1402.68001 Cham: Springer (ISBN 978-3-319-94462-3/hbk; 978-3-319-94463-0/ebook). xxiii, 497 p. (2018). Reviewer: Irina Ioana Mohorianu (Oxford) MSC: 68-01 68T05 68T07 82C32 92B20 PDFBibTeX XMLCite \textit{C. C. Aggarwal}, Neural networks and deep learning. A textbook. Cham: Springer (2018; Zbl 1402.68001) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi A meshless Galerkin scheme for the approximate solution of nonlinear logarithmic boundary integral equations utilizing radial basis functions. (English) Zbl 1380.65395 J. Comput. Appl. Math. 333, 362-381 (2018). MSC: 65N38 35J05 35J65 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, J. Comput. Appl. Math. 333, 362--381 (2018; Zbl 1380.65395) Full Text: DOI
Assari, Pouria; Dehghan, Mehdi A meshless discrete collocation method for the numerical solution of singular-logarithmic boundary integral equations utilizing radial basis functions. (English) Zbl 1426.65206 Appl. Math. Comput. 315, 424-444 (2017). MSC: 65R20 65N38 41A30 45A05 65N35 PDFBibTeX XMLCite \textit{P. Assari} and \textit{M. Dehghan}, Appl. Math. Comput. 315, 424--444 (2017; Zbl 1426.65206) Full Text: DOI
Esmaeilbeigi, M.; Garmanjani, G. Gaussian radial basis function interpolant for the different data sites and basis centers. (English) Zbl 1373.65009 Calcolo 54, No. 1, 155-166 (2017). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{M. Esmaeilbeigi} and \textit{G. Garmanjani}, Calcolo 54, No. 1, 155--166 (2017; Zbl 1373.65009) Full Text: DOI
Rashidinia, J.; Fasshauer, G. E.; Khasi, M. A stable method for the evaluation of Gaussian radial basis function solutions of interpolation and collocation problems. (English) Zbl 1443.65110 Comput. Math. Appl. 72, No. 1, 178-193 (2016). MSC: 65L60 65L10 PDFBibTeX XMLCite \textit{J. Rashidinia} et al., Comput. Math. Appl. 72, No. 1, 178--193 (2016; Zbl 1443.65110) Full Text: DOI
Ling, Leevan A fast block-greedy algorithm for quasi-optimal meshless trial subspace selection. (English) Zbl 1338.65041 SIAM J. Sci. Comput. 38, No. 2, A1224-A1250 (2016). MSC: 65D15 65N35 41A63 PDFBibTeX XMLCite \textit{L. Ling}, SIAM J. Sci. Comput. 38, No. 2, A1224--A1250 (2016; Zbl 1338.65041) Full Text: DOI
Mohammadi, M.; Mokhtari, R.; Schaback, R. A meshless method for solving the 2D Brusselator reaction-diffusion system. (English) Zbl 1357.65152 CMES, Comput. Model. Eng. Sci. 101, No. 2, 113-138 (2014). MSC: 65M20 65M70 PDFBibTeX XMLCite \textit{M. Mohammadi} et al., CMES, Comput. Model. Eng. Sci. 101, No. 2, 113--138 (2014; Zbl 1357.65152) Full Text: DOI
Assari, Pouria; Adibi, Hojatollah; Dehghan, Mehdi The numerical solution of weakly singular integral equations based on the meshless product integration (MPI) method with error analysis. (English) Zbl 1291.65375 Appl. Numer. Math. 81, 76-93 (2014). MSC: 65R20 45B05 45E10 PDFBibTeX XMLCite \textit{P. Assari} et al., Appl. Numer. Math. 81, 76--93 (2014; Zbl 1291.65375) Full Text: DOI
Mohammadi, Maryam; Mokhtari, Reza; Panahipour, Hamid A Galerkin-reproducing kernel method: application to the 2D nonlinear coupled Burgers’ equations. (English) Zbl 1287.65088 Eng. Anal. Bound. Elem. 37, No. 12, 1642-1652 (2013). MSC: 65M70 65M60 PDFBibTeX XMLCite \textit{M. Mohammadi} et al., Eng. Anal. Bound. Elem. 37, No. 12, 1642--1652 (2013; Zbl 1287.65088) Full Text: DOI
Salehi, Rezvan; Dehghan, Mehdi A moving least square reproducing polynomial meshless method. (English) Zbl 1284.65137 Appl. Numer. Math. 69, 34-58 (2013). MSC: 65M60 65M12 35K05 35Q40 PDFBibTeX XMLCite \textit{R. Salehi} and \textit{M. Dehghan}, Appl. Numer. Math. 69, 34--58 (2013; Zbl 1284.65137) Full Text: DOI
Fuselier, Edward J.; Wright, Grady B. A high-order kernel method for diffusion and reaction-diffusion equations on surfaces. (English) Zbl 1275.65056 J. Sci. Comput. 56, No. 3, 535-565 (2013). MSC: 65M20 35K55 35K57 65M15 65M70 58J35 PDFBibTeX XMLCite \textit{E. J. Fuselier} and \textit{G. B. Wright}, J. Sci. Comput. 56, No. 3, 535--565 (2013; Zbl 1275.65056) Full Text: DOI arXiv
Dereli, Yılmaz The meshless kernel-based method of lines for the numerical solution of the nonlinear Schrödinger equation. (English) Zbl 1352.65299 Eng. Anal. Bound. Elem. 36, No. 9, 1416-1423 (2012). MSC: 65M20 65M70 35Q55 PDFBibTeX XMLCite \textit{Y. Dereli}, Eng. Anal. Bound. Elem. 36, No. 9, 1416--1423 (2012; Zbl 1352.65299) Full Text: DOI
Lytrides, Michalis A.; Stylianopoulos, Nikos S. Error analysis of the Bergman kernel method with singular basis functions. (English) Zbl 1267.30023 Comput. Methods Funct. Theory 11, No. 2, 487-526 (2011). MSC: 30C30 30E10 30C40 65E05 PDFBibTeX XMLCite \textit{M. A. Lytrides} and \textit{N. S. Stylianopoulos}, Comput. Methods Funct. Theory 11, No. 2, 487--526 (2011; Zbl 1267.30023) Full Text: DOI arXiv
Panigrahi, Bijaya Laxmi; Nelakanti, Gnaneshwar Wavelet Galerkin method for eigenvalue problem of a compact integral operator. (English) Zbl 1229.65238 Appl. Math. Comput. 218, No. 4, 1222-1232 (2011). MSC: 65R20 45C05 45P05 65T60 PDFBibTeX XMLCite \textit{B. L. Panigrahi} and \textit{G. Nelakanti}, Appl. Math. Comput. 218, No. 4, 1222--1232 (2011; Zbl 1229.65238) Full Text: DOI
Shao, Meiyue; Gao, Weiguo; Zhang, Yunxin Robust projection method for Fredholm integral equation of the second kind. (English) Zbl 1209.65150 Int. J. Comput. Math. 87, No. 15, 3455-3466 (2010). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{M. Shao} et al., Int. J. Comput. Math. 87, No. 15, 3455--3466 (2010; Zbl 1209.65150) Full Text: DOI
Ranjbar, Mojtaba; Adibi, Hojatollah; Lakestani, Mehrdad Numerical solution of homogeneous Smoluchowski’s coagulation equation. (English) Zbl 1197.65231 Int. J. Comput. Math. 87, No. 9, 2113-2122 (2010). MSC: 65R20 45K05 82C05 65H10 PDFBibTeX XMLCite \textit{M. Ranjbar} et al., Int. J. Comput. Math. 87, No. 9, 2113--2122 (2010; Zbl 1197.65231) Full Text: DOI
Mouattamid, Mohammed; Schaback, Robert Recursive kernels. (English) Zbl 1212.46053 Anal. Theory Appl. 25, No. 4, 301-316 (2009). MSC: 46E22 41A05 41A63 41A65 65D05 65D15 PDFBibTeX XMLCite \textit{M. Mouattamid} and \textit{R. Schaback}, Anal. Theory Appl. 25, No. 4, 301--316 (2009; Zbl 1212.46053) Full Text: DOI
Pham, T. D.; Tran, T. Solutions to pseudodifferential equations using spherical radial basis functions. (English) Zbl 1167.65068 Bull. Aust. Math. Soc. 79, No. 3, 473-485 (2009). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N15 65N30 35S15 PDFBibTeX XMLCite \textit{T. D. Pham} and \textit{T. Tran}, Bull. Aust. Math. Soc. 79, No. 3, 473--485 (2009; Zbl 1167.65068) Full Text: DOI
Chen, J. S.; Hu, W.; Hu, H. Y. Reproducing kernel enhanced local radial basis collocation method. (English) Zbl 1195.74278 Int. J. Numer. Methods Eng. 75, No. 5, 600-627 (2008). MSC: 74S30 PDFBibTeX XMLCite \textit{J. S. Chen} et al., Int. J. Numer. Methods Eng. 75, No. 5, 600--627 (2008; Zbl 1195.74278) Full Text: DOI
Wang, Wenyan; Cui, Minggen; Han, Bo A new method for solving a class of singular two-point boundary value problems. (English) Zbl 1161.65060 Appl. Math. Comput. 206, No. 2, 721-727 (2008). Reviewer: Ivan Secrieru (Chişinău) MSC: 65L10 34B05 46E22 46B15 PDFBibTeX XMLCite \textit{W. Wang} et al., Appl. Math. Comput. 206, No. 2, 721--727 (2008; Zbl 1161.65060) Full Text: DOI
Zemke, Jens-Peter M. Abstract perturbed Krylov methods. (English) Zbl 1125.65029 Linear Algebra Appl. 424, No. 2-3, 405-434 (2007). Reviewer: Dietrich Braess (Bochum) MSC: 65F10 PDFBibTeX XMLCite \textit{J.-P. M. Zemke}, Linear Algebra Appl. 424, No. 2--3, 405--434 (2007; Zbl 1125.65029) Full Text: DOI Link
Fasshauer, Gregory E. Meshfree approximation methods with Matlab. With CD-ROM. (English) Zbl 1123.65001 Interdisciplinary Mathematical Sciences 6. Hackensack, NJ: World Scientific (ISBN 978-981-270-633-1/hbk; 978-981-270-634-8/pbk). xviii, 500 p. (2007). Reviewer: Martin D. Buhmann (Gießen) MSC: 65-02 41A15 65D05 65D07 65N30 65N35 65M60 65M70 41A05 41A63 41A30 PDFBibTeX XMLCite \textit{G. E. Fasshauer}, Meshfree approximation methods with Matlab. With CD-ROM. Hackensack, NJ: World Scientific (2007; Zbl 1123.65001)
Lin, Yi; Yuan, Ming Convergence rates of compactly supported radial basis function regularization. (English) Zbl 1096.62049 Stat. Sin. 16, No. 2, 425-439 (2006). MSC: 62G20 62G07 62M99 PDFBibTeX XMLCite \textit{Y. Lin} and \textit{M. Yuan}, Stat. Sin. 16, No. 2, 425--439 (2006; Zbl 1096.62049)
Strauß, Daniel J.; Steidl, Gabriele; Welzel, Udo Parameter detection of thin films from their X-ray reflectivity by support vector machines. (English) Zbl 1046.65118 Appl. Numer. Math. 48, No. 2, 223-236 (2004). MSC: 65R32 90C20 45Q05 65Y05 65K05 PDFBibTeX XMLCite \textit{D. J. Strauß} et al., Appl. Numer. Math. 48, No. 2, 223--236 (2004; Zbl 1046.65118) Full Text: DOI Link
Chen, J. T.; Chang, M. H.; Chen, K. H.; Chen, I. L. Boundary collocation method for acoustic eigenanalysis of three-dimensional cavities using radial basis function. (English) Zbl 1146.76622 Comput. Mech. 29, No. 4-5, 392-408 (2002). MSC: 76M15 76Q05 PDFBibTeX XMLCite \textit{J. T. Chen} et al., Comput. Mech. 29, No. 4--5, 392--408 (2002; Zbl 1146.76622) Full Text: DOI
Suykens, Johan A. K.; Van Gestel, Tony; De Brabanter, Jos; De Moor, Bart; Vandewalle, Joos Least squares support vector machines. (English) Zbl 1017.93004 Singapore: World Scientific. xiv, 294 p. (2002). Reviewer: Andrew Dale (Durban) MSC: 93-02 93E10 62G05 62M45 93A15 68T05 62H30 62H25 62F15 90C25 62G35 62K20 PDFBibTeX XMLCite \textit{J. A. K. Suykens} et al., Least squares support vector machines. Singapore: World Scientific (2002; Zbl 1017.93004)
Han, Weimin; Meng, Xueping Error analysis of the reproducing kernel particle method. (English) Zbl 0992.65119 Comput. Methods Appl. Mech. Eng. 190, No. 46-47, 6157-6181 (2001). Reviewer: Evgenij D’yakonov (Moskva) MSC: 65N15 65N30 35J25 35J40 PDFBibTeX XMLCite \textit{W. Han} and \textit{X. Meng}, Comput. Methods Appl. Mech. Eng. 190, No. 46--47, 6157--6181 (2001; Zbl 0992.65119) Full Text: DOI
Chen, L.; Kassab, A. J.; Nicholson, D. W.; Chopra, M. B. Generalized boundary element method for solids exhibiting nonhomogeneities. (English) Zbl 1001.74116 Eng. Anal. Bound. Elem. 25, No. 6, 407-422 (2001). MSC: 74S15 74E05 PDFBibTeX XMLCite \textit{L. Chen} et al., Eng. Anal. Bound. Elem. 25, No. 6, 407--422 (2001; Zbl 1001.74116) Full Text: DOI
Chen, W.; He, J. H. A study on radial basis function and quasi-Monte Carlo methods. (English) Zbl 0966.65002 Int. J. Nonlinear Sci. Numer. Simul. 1, No. 4, 337-342 (2000). MSC: 65C05 35J05 PDFBibTeX XMLCite \textit{W. Chen} and \textit{J. H. He}, Int. J. Nonlinear Sci. Numer. Simul. 1, No. 4, 337--342 (2000; Zbl 0966.65002) Full Text: DOI arXiv
Sonar, Thomas Multidimensional ENO methods. Construction of nonoscillatory methods for hyperbolic conservation laws. (Mehrdimensionale ENO-Verfahren. Zur Konstruktion nichtoszillatorischer Methoden für hyberbolische Erhaltungsgleichungen.) (German) Zbl 0903.65072 Advances in Numerical Mathematics. Stuttgart: B. G. Teubner. 291 S. (1997). Reviewer: R.Jeltsch (Zürich) MSC: 65M06 65M60 76M20 35L65 76N15 PDFBibTeX XMLCite \textit{T. Sonar}, Mehrdimensionale ENO-Verfahren. Zur Konstruktion nichtoszillatorischer Methoden für hyberbolische Erhaltungsgleichungen. Stuttgart: B. G. Teubner (1997; Zbl 0903.65072)
Chocholatý, P. A numerical treatment to the solution of certain first kind Fredholm integral equations. (English) Zbl 0817.65144 Calcolo 30, No. 3, 191-202 (1993). Reviewer: J.Albrycht (Poznań) MSC: 65R20 65R30 45B05 PDFBibTeX XMLCite \textit{P. Chocholatý}, Calcolo 30, No. 3, 191--202 (1993; Zbl 0817.65144) Full Text: DOI
Ageev, A. L. On the question of choice of the regularization parameter in the problem of determination of the basis of the kernel of a linear operator. (Russian) Zbl 0801.47009 Sidorov, A. F. (ed.), Numerical and analytical methods of modelling in continuum mechanics. Collection of scientific works. Sverdlovsk: Ural’skoe Otdelenie AN SSSR, 3-9 (1989). MSC: 47A50 65J10 PDFBibTeX XMLCite \textit{A. L. Ageev}, in: Chislennye i analiticheskie metody modelirovaniya v mekhanike sploshnoj sredy. Sbornik nauchnykh trudov. Sverdlovsk: Ural'skoe Otdelenie AN SSSR. 3--9 (1989; Zbl 0801.47009)
Zamani, N. G. A least squares finite element method applied to B-spline. (English) Zbl 0473.65073 J. Franklin Inst. 311, 195-208 (1981). MSC: 65N30 35J05 65D07 PDFBibTeX XMLCite \textit{N. G. Zamani}, J. Franklin Inst. 311, 195--208 (1981; Zbl 0473.65073) Full Text: DOI