Noorizadegan, Amir; Schaback, Robert Introducing the evaluation condition number: a novel assessment of conditioning in radial basis function methods. (English) Zbl 07892958 Eng. Anal. Bound. Elem. 166, Article ID 105827, 8 p. (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{A. Noorizadegan} and \textit{R. Schaback}, Eng. Anal. Bound. Elem. 166, Article ID 105827, 8 p. (2024; Zbl 07892958) Full Text: DOI
Narimani, Niusha; Dehghan, Mehdi; Mohammadi, Vahid A weighted combination of reproducing kernel particle shape functions with cardinal functions of scalable polyharmonic spline radial kernel utilized in Galerkin weak form of a mathematical model related to anti-angiogenic therapy. (English) Zbl 07861495 Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108059, 23 p. (2024). MSC: 92C50 65D07 65M60 65M75 35G61 35Q92 PDFBibTeX XMLCite \textit{N. Narimani} et al., Commun. Nonlinear Sci. Numer. Simul. 135, Article ID 108059, 23 p. (2024; Zbl 07861495) Full Text: DOI
Satyanarayana, Chirala; Yadav, Manoj Kumar; Nath, Madhumita Multiquadric based RBF-HFD approximation formulas and convergence properties. (English) Zbl 07855303 Eng. Anal. Bound. Elem. 160, 234-257 (2024). MSC: 41A58 41A30 41A63 65D12 65D25 PDFBibTeX XMLCite \textit{C. Satyanarayana} et al., Eng. Anal. Bound. Elem. 160, 234--257 (2024; Zbl 07855303) Full Text: DOI
Zhang, Chao; Fu, Zhuojia; Zhang, Yaoming A novel global RBF direct collocation method for solving partial differential equations with variable coefficients. (English) Zbl 07855288 Eng. Anal. Bound. Elem. 160, 14-27 (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{C. Zhang} et al., Eng. Anal. Bound. Elem. 160, 14--27 (2024; Zbl 07855288) Full Text: DOI
Noorizadegan, A.; Chen, C.-S.; Cavoretto, R.; De Rossi, A. Efficient truncated randomized SVD for mesh-free kernel methods. (English) Zbl 07853319 Comput. Math. Appl. 164, 12-20 (2024). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{A. Noorizadegan} et al., Comput. Math. Appl. 164, 12--20 (2024; Zbl 07853319) Full Text: DOI
Zhuang, Qiao; Heryudono, Alfa; Zeng, Fanhai; Zhang, Zhongqiang Collocation methods for integral fractional Laplacian and fractional PDEs based on radial basis functions. (English) Zbl 07833986 Appl. Math. Comput. 469, Article ID 128548, 14 p. (2024). MSC: 65Nxx 65Dxx 35Rxx PDFBibTeX XMLCite \textit{Q. Zhuang} et al., Appl. Math. Comput. 469, Article ID 128548, 14 p. (2024; Zbl 07833986) Full Text: DOI
Chu, Tianyi; Schmidt, Oliver T. Mesh-free hydrodynamic stability. (English) Zbl 07833821 J. Comput. Phys. 502, Article ID 112822, 21 p. (2024). MSC: 76Exx 76Dxx 76Fxx PDFBibTeX XMLCite \textit{T. Chu} and \textit{O. T. Schmidt}, J. Comput. Phys. 502, Article ID 112822, 21 p. (2024; Zbl 07833821) Full Text: DOI arXiv
Glaubitz, Jan; Nordström, Jan; Öffner, Philipp Energy-stable global radial basis function methods on summation-by-parts form. (English) Zbl 1535.65292 J. Sci. Comput. 98, No. 1, Paper No. 30, 28 p. (2024). Reviewer: Temur A. Jangveladze (Tbilisi) MSC: 65N35 65M06 65N12 65D12 65D25 PDFBibTeX XMLCite \textit{J. Glaubitz} et al., J. Sci. Comput. 98, No. 1, Paper No. 30, 28 p. (2024; Zbl 1535.65292) Full Text: DOI arXiv OA License
Pooladi, Fatemeh; Larsson, Elisabeth Stabilized interpolation using radial basis functions augmented with selected radial polynomials. (English) Zbl 1522.65020 J. Comput. Appl. Math. 437, Article ID 115482, 16 p. (2024). MSC: 65D12 PDFBibTeX XMLCite \textit{F. Pooladi} and \textit{E. Larsson}, J. Comput. Appl. Math. 437, Article ID 115482, 16 p. (2024; Zbl 1522.65020) Full Text: DOI
Rubasinghe, Kalani; Yao, Guangming; Niu, Jing; Tsogtgerel, Gantumur Polyharmonic splines interpolation on scattered data in 2D and 3D with applications. (English) Zbl 07849700 Eng. Anal. Bound. Elem. 156, 240-250 (2023). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{K. Rubasinghe} et al., Eng. Anal. Bound. Elem. 156, 240--250 (2023; Zbl 07849700) Full Text: DOI
Liu, Yajun; Qiao, Yuanyang; Feng, Xinlong A stable radial basis function partition of unity method for solving convection-diffusion equations on surfaces. (English) Zbl 1537.65106 Eng. Anal. Bound. Elem. 155, 148-159 (2023). MSC: 65M06 35R01 65D12 65M12 65M70 PDFBibTeX XMLCite \textit{Y. Liu} et al., Eng. Anal. Bound. Elem. 155, 148--159 (2023; Zbl 1537.65106) Full Text: DOI
Kien, Dung Nguyen; Zhuang, Xiaoying Radial basis function based finite element method: formulation and applications. (English) Zbl 1539.74440 Eng. Anal. Bound. Elem. 152, 455-472 (2023). MSC: 74S05 65N30 65D12 PDFBibTeX XMLCite \textit{D. N. Kien} and \textit{X. Zhuang}, Eng. Anal. Bound. Elem. 152, 455--472 (2023; Zbl 1539.74440) Full Text: DOI
Ponzellini Marinelli, Luciano Stabilizing radial basis functions techniques for a local boundary integral method. (English) Zbl 1531.65266 Rev. Unión Mat. Argent. 64, No. 2, 375-396 (2023). MSC: 65N35 65D12 65N12 65R20 PDFBibTeX XMLCite \textit{L. Ponzellini Marinelli}, Rev. Unión Mat. Argent. 64, No. 2, 375--396 (2023; Zbl 1531.65266) Full Text: DOI OA License
Yan, Qile; Jiang, Shixiao Willing; Harlim, John Spectral methods for solving elliptic PDEs on unknown manifolds. (English) Zbl 07788137 J. Comput. Phys. 486, Article ID 112132, 27 p. (2023). MSC: 65Mxx 65Nxx 65Dxx PDFBibTeX XMLCite \textit{Q. Yan} et al., J. Comput. Phys. 486, Article ID 112132, 27 p. (2023; Zbl 07788137) Full Text: DOI arXiv
Barthelmé, Simon; Amblard, Pierre-Olivier; Tremblay, Nicolas; Usevich, Konstantin Gaussian process regression in the flat limit. (English) Zbl 1539.62095 Ann. Stat. 51, No. 6, 2471-2505 (2023). MSC: 62G08 65D10 PDFBibTeX XMLCite \textit{S. Barthelmé} et al., Ann. Stat. 51, No. 6, 2471--2505 (2023; Zbl 1539.62095) Full Text: DOI arXiv Link
Fryklund, Fredrik; Greengard, Leslie An FMM accelerated Poisson solver for complicated geometries in the plane using function extension. (English) Zbl 1530.65183 SIAM J. Sci. Comput. 45, No. 6, A3001-A3019 (2023). MSC: 65N80 65D12 65N38 65R20 PDFBibTeX XMLCite \textit{F. Fryklund} and \textit{L. Greengard}, SIAM J. Sci. Comput. 45, No. 6, A3001--A3019 (2023; Zbl 1530.65183) Full Text: DOI arXiv
Bartwal, Naman; Shahane, Shantanu; Roy, Somnath; Vanka, Surya Pratap Simulation of heat conduction in complex domains of multi-material composites using a meshless method. (English) Zbl 07736228 Appl. Math. Comput. 457, Article ID 128208, 38 p. (2023). MSC: 65Nxx 65Mxx 76Mxx PDFBibTeX XMLCite \textit{N. Bartwal} et al., Appl. Math. Comput. 457, Article ID 128208, 38 p. (2023; Zbl 07736228) Full Text: DOI arXiv
Chernov, Andreĭ Vladimirovich On monotone approximation of piecewise continuous monotone functions with the help of translations and dilations of the Laplace integral. (Russian. English summary) Zbl 1529.41017 Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 187-205 (2023). MSC: 41A29 41A30 65D10 65D15 PDFBibTeX XMLCite \textit{A. V. Chernov}, Izv. Inst. Mat. Inform., Udmurt. Gos. Univ. 61, 187--205 (2023; Zbl 1529.41017) Full Text: DOI MNR
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 OA License
Mahmoudi, Mahmoud; Shojaeizadeh, Tahereh; Darehmiraki, Majid Optimal control of time-fractional convection-diffusion-reaction problem employing compact integrated RBF method. (English) Zbl 1516.49012 Math. Sci., Springer 17, No. 1, 1-14 (2023). MSC: 49J45 65M12 49K40 PDFBibTeX XMLCite \textit{M. Mahmoudi} et al., Math. Sci., Springer 17, No. 1, 1--14 (2023; Zbl 1516.49012) Full Text: DOI
Tóth, Balázs; Düster, Alexander \(h\)-adaptive radial basis function finite difference method for linear elasticity problems. (English) Zbl 1515.74077 Comput. Mech. 71, No. 3, 433-452 (2023). MSC: 74S20 74B05 PDFBibTeX XMLCite \textit{B. Tóth} and \textit{A. Düster}, Comput. Mech. 71, No. 3, 433--452 (2023; Zbl 1515.74077) Full Text: DOI OA License
Schaback, Robert Small errors imply large evaluation instabilities. (English) Zbl 1528.65010 Adv. Comput. Math. 49, No. 2, Paper No. 25, 27 p. (2023). MSC: 65D05 65D12 65D15 PDFBibTeX XMLCite \textit{R. Schaback}, Adv. Comput. Math. 49, No. 2, Paper No. 25, 27 p. (2023; Zbl 1528.65010) Full Text: DOI OA License
Haghi, Majid; Ilati, Mohammad; Dehghan, Mehdi A radial basis function-Hermite finite difference (RBF-HFD) method for the cubic-quintic complex Ginzburg-Landau equation. (English) Zbl 1524.65344 Comput. Appl. Math. 42, No. 3, Paper No. 115, 17 p. (2023). MSC: 65M06 65M12 65B05 35Q56 78A60 65L06 65D12 65D05 82D55 PDFBibTeX XMLCite \textit{M. Haghi} et al., Comput. Appl. Math. 42, No. 3, Paper No. 115, 17 p. (2023; Zbl 1524.65344) Full Text: DOI
Fryklund, Fredrik; Pålsson, Sara; Tornberg, Anna-Karin An integral equation method for the advection-diffusion equation on time-dependent domains in the plane. (English) Zbl 07649277 J. Comput. Phys. 475, Article ID 111856, 26 p. (2023). MSC: 65Mxx 65Nxx 76Dxx PDFBibTeX XMLCite \textit{F. Fryklund} et al., J. Comput. Phys. 475, Article ID 111856, 26 p. (2023; Zbl 07649277) Full Text: DOI arXiv OA License
Chu, Tianyi; Schmidt, Oliver T. RBF-FD discretization of the Navier-Stokes equations on scattered but staggered nodes. (English) Zbl 07640529 J. Comput. Phys. 474, Article ID 111756, 20 p. (2023). MSC: 76Mxx 65Mxx 65Dxx PDFBibTeX XMLCite \textit{T. Chu} and \textit{O. T. Schmidt}, J. Comput. Phys. 474, Article ID 111756, 20 p. (2023; Zbl 07640529) Full Text: DOI arXiv
Rossini, Milvia Variably scaled kernels: an overview. (English) Zbl 1540.65039 Dolomites Res. Notes Approx. 15, No. 4, 61-72 (2022). MSC: 65D05 41A05 65D15 41A63 41A30 PDFBibTeX XMLCite \textit{M. Rossini}, Dolomites Res. Notes Approx. 15, No. 4, 61--72 (2022; Zbl 1540.65039) Full Text: DOI
Elefante, Giacomo; Erb, Wolfgang; Marchetti, Francesco; Perracchione, Emma; Poggiali, Davide; Santin, Gabriele Interpolation with the polynomial kernels. (English) Zbl 1540.41008 Dolomites Res. Notes Approx. 15, No. 4, 45-60 (2022). MSC: 41A05 41A63 65D05 PDFBibTeX XMLCite \textit{G. Elefante} et al., Dolomites Res. Notes Approx. 15, No. 4, 45--60 (2022; Zbl 1540.41008) Full Text: DOI arXiv
Farshadmoghadam, Farnaz; Azodi, Haman Deilami; Yaghouti, Mohammad Reza An improved radial basis functions method for the high-order Volterra-Fredholm integro-differential equations. (English) Zbl 1510.65326 Math. Sci., Springer 16, No. 4, 445-458 (2022). MSC: 65R20 45J05 65D12 65D32 PDFBibTeX XMLCite \textit{F. Farshadmoghadam} et al., Math. Sci., Springer 16, No. 4, 445--458 (2022; Zbl 1510.65326) Full Text: DOI
Arefian, Sara; Mirzaei, Davoud A compact radial basis function partition of unity method. (English) Zbl 1524.65074 Comput. Math. Appl. 127, 1-11 (2022). MSC: 65D12 41A05 65N35 65M70 65D15 PDFBibTeX XMLCite \textit{S. Arefian} and \textit{D. Mirzaei}, Comput. Math. Appl. 127, 1--11 (2022; Zbl 1524.65074) Full Text: DOI
Bergold, Paul; Lasser, Caroline An error bound for the time-sliced thawed Gaussian propagation method. (English) Zbl 07616969 Numer. Math. 152, No. 3, 511-551 (2022). MSC: 65Mxx 65P10 65D32 65Z05 81Q20 42A38 35J10 PDFBibTeX XMLCite \textit{P. Bergold} and \textit{C. Lasser}, Numer. Math. 152, No. 3, 511--551 (2022; Zbl 07616969) Full Text: DOI arXiv OA License
De Marchi, Stefano Mapped polynomials and discontinuous kernels for Runge and Gibbs phenomena. (English) Zbl 1507.65049 Barrera, Domingo (ed.) et al., Mathematical and computational methods for modelling, approximation and simulation. Selected papers based on the presentations at the lectures presented at the international conference, MACMAS 2019, Granada, Spain, September 9–11, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 29, 3-43 (2022). MSC: 65D15 41A10 PDFBibTeX XMLCite \textit{S. De Marchi}, SEMA SIMAI Springer Ser. 29, 3--43 (2022; Zbl 1507.65049) Full Text: DOI Link
Senel, Cem Berk; van Beeck, Jeroen; Altinkaynak, Atakan Solving PDEs with a hybrid radial basis function: power-generalized multiquadric kernel. (English) Zbl 1513.65486 Adv. Appl. Math. Mech. 14, No. 5, 1161-1180 (2022). MSC: 65N35 65D12 PDFBibTeX XMLCite \textit{C. B. Senel} et al., Adv. Appl. Math. Mech. 14, No. 5, 1161--1180 (2022; Zbl 1513.65486) Full Text: DOI
Nikan, O.; Avazzadeh, Z. A locally stabilized radial basis function partition of unity technique for the sine-Gordon system in nonlinear optics. (English) Zbl 1540.78030 Math. Comput. Simul. 199, 394-413 (2022). MSC: 78M20 PDFBibTeX XMLCite \textit{O. Nikan} and \textit{Z. Avazzadeh}, Math. Comput. Simul. 199, 394--413 (2022; Zbl 1540.78030) Full Text: DOI
Oanh, Dang Thi; Tuong, Ngo Manh An approach to adaptive refinement for the RBF-FD method for 2D elliptic equations. (English) Zbl 1493.65175 Appl. Numer. Math. 178, 123-154 (2022). MSC: 65N06 65N50 65D12 65D05 PDFBibTeX XMLCite \textit{D. T. Oanh} and \textit{N. M. Tuong}, Appl. Numer. Math. 178, 123--154 (2022; Zbl 1493.65175) Full Text: DOI
Lv, Guixia; Shen, Longjun Theoretical analyses on discrete formulae of directional differentials in the finite point method. (English) Zbl 1499.65072 J. Comput. Math. 40, No. 1, 1-25 (2022). MSC: 65D25 65N06 65N35 PDFBibTeX XMLCite \textit{G. Lv} and \textit{L. Shen}, J. Comput. Math. 40, No. 1, 1--25 (2022; Zbl 1499.65072) Full Text: DOI
Noghrei, Nafiseh; Kerayechian, Asghar; Soheili, Ali R. Gaussian radial basis function and quadrature sinc method for two-dimensional space-fractional diffusion equations. (English) Zbl 1486.65207 Math. Sci., Springer 16, No. 1, 87-96 (2022). MSC: 65M70 35R11 65D12 76R50 PDFBibTeX XMLCite \textit{N. Noghrei} et al., Math. Sci., Springer 16, No. 1, 87--96 (2022; Zbl 1486.65207) Full Text: DOI
Jiwari, Ram Local radial basis function-finite difference based algorithms for singularly perturbed Burgers’ model. (English) Zbl 1540.65299 Math. Comput. Simul. 198, 106-126 (2022). MSC: 65M06 35Q53 PDFBibTeX XMLCite \textit{R. Jiwari}, Math. Comput. Simul. 198, 106--126 (2022; Zbl 1540.65299) Full Text: DOI
Liu, Shuainan; Fu, Zhuojia; Gu, Yan Domain-decomposition localized method of fundamental solutions for large-scale heat conduction in anisotropic layered materials. (English) Zbl 1499.65722 Adv. Appl. Math. Mech. 14, No. 3, 759-776 (2022). MSC: 65N80 35E05 65N55 80A19 35K05 PDFBibTeX XMLCite \textit{S. Liu} et al., Adv. Appl. Math. Mech. 14, No. 3, 759--776 (2022; Zbl 1499.65722) Full Text: DOI
Wang, Chen; Qi, Zheng; Zheng, Yu; Duan, Huishen; Chen, Anhong; Du, Fan; Xu, Jiakuan; Li, Guoshu; Xia, Qiang Greedy non-intrusive reduced-order model’s application in dynamic blowing and suction flow control to suppress the flow separation. (English) Zbl 1521.76125 Comput. Fluids 237, Article ID 105337, 10 p. (2022). MSC: 76D55 76G25 76M99 PDFBibTeX XMLCite \textit{C. Wang} et al., Comput. Fluids 237, Article ID 105337, 10 p. (2022; Zbl 1521.76125) Full Text: DOI
Gholampour, Faranak; Hesameddini, Esmail; Taleei, Ameneh An efficient local RBF-based method for elasticity problems involving multiple material phases. (English) Zbl 1521.82028 Eng. Anal. Bound. Elem. 138, 189-201 (2022). MSC: 82M20 65D12 65N35 82B24 PDFBibTeX XMLCite \textit{F. Gholampour} et al., Eng. Anal. Bound. Elem. 138, 189--201 (2022; Zbl 1521.82028) Full Text: DOI
Lotfi, Yasaman; Parand, Kourosh Anti-aliasing of gray-scale/color/outline images: looking through the lens of numerical approaches for PDE-based models. (English) Zbl 1538.65043 Comput. Math. Appl. 113, 130-147 (2022). MSC: 65D18 65D12 65M70 94A08 PDFBibTeX XMLCite \textit{Y. Lotfi} and \textit{K. Parand}, Comput. Math. Appl. 113, 130--147 (2022; Zbl 1538.65043) Full Text: DOI
Zheng, Hui; Fan, Zhuowan; Li, Jichun Simulation of electromagnetic wave propagations in negative index materials by the localized RBF-collocation method. (English) Zbl 1521.78026 Eng. Anal. Bound. Elem. 136, 204-212 (2022). MSC: 78M22 65N35 PDFBibTeX XMLCite \textit{H. Zheng} et al., Eng. Anal. Bound. Elem. 136, 204--212 (2022; Zbl 1521.78026) Full Text: DOI
Shahane, Shantanu; Radhakrishnan, Anand; Vanka, Surya Pratap A high-order accurate meshless method for solution of incompressible fluid flow problems. (English) Zbl 07515868 J. Comput. Phys. 445, Article ID 110623, 24 p. (2021). MSC: 76Mxx 65Nxx 65Dxx PDFBibTeX XMLCite \textit{S. Shahane} et al., J. Comput. Phys. 445, Article ID 110623, 24 p. (2021; Zbl 07515868) Full Text: DOI arXiv
Nikan, O.; Machado, J. A. Tenreiro; Golbabai, A.; Rashidinia, J. Numerical evaluation of the fractional Klein-Kramers model arising in molecular dynamics. (English) Zbl 07511421 J. Comput. Phys. 428, Article ID 109983, 21 p. (2021). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{O. Nikan} et al., J. Comput. Phys. 428, Article ID 109983, 21 p. (2021; Zbl 07511421) Full Text: DOI
Farshadmoghadam, Farnaz; Najafi, Ali Reza; Yaghouti, Mohammad Reza European option under a skew version of the GBM model with transaction costs by an RBF method. (English) Zbl 07497090 J. Stat. Comput. Simulation 91, No. 14, 2986-3004 (2021). MSC: 62-XX PDFBibTeX XMLCite \textit{F. Farshadmoghadam} et al., J. Stat. Comput. Simulation 91, No. 14, 2986--3004 (2021; Zbl 07497090) Full Text: DOI
Levesley, Jeremy; Sun, Xinping; Jarad, Fahd; Kushpel, Alexander Interpolation of exponential-type functions on a uniform grid by shifts of a basis function. (English) Zbl 1482.30096 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2399-2416 (2021). MSC: 30E05 30C10 PDFBibTeX XMLCite \textit{J. Levesley} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2399--2416 (2021; Zbl 1482.30096) Full Text: DOI arXiv
Sommariva, A.; Vianello, M. RBF moment computation and meshless cubature on general polygonal regions. (English) Zbl 1510.65032 Appl. Math. Comput. 409, Article ID 126375, 16 p. (2021). MSC: 65D12 65D32 PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, Appl. Math. Comput. 409, Article ID 126375, 16 p. (2021; Zbl 1510.65032) Full Text: DOI Link
Bayona, Víctor; Sánchez-Sanz, Mario; Fernández-Tarrazo, Eduardo; Kindelan, Manuel Micro-combustion modelling with RBF-FD: a high-order meshfree method for reactive flows in complex geometries. (English) Zbl 1481.76278 Appl. Math. Modelling 94, 635-655 (2021). MSC: 76V05 65D12 80A19 PDFBibTeX XMLCite \textit{V. Bayona} et al., Appl. Math. Modelling 94, 635--655 (2021; Zbl 1481.76278) Full Text: DOI Link
Drake, Kathryn P.; Fuselier, Edward J.; Wright, Grady B. A partition of unity method for divergence-free or curl-free radial basis function approximation. (English) Zbl 1512.65031 SIAM J. Sci. Comput. 43, No. 3, A1950-A1974 (2021). MSC: 65D12 41A05 41A30 PDFBibTeX XMLCite \textit{K. P. Drake} et al., SIAM J. Sci. Comput. 43, No. 3, A1950--A1974 (2021; Zbl 1512.65031) 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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{D. Álvarez} et al., J. Sci. Comput. 86, No. 3, Paper No. 28, 20 p. (2021; Zbl 1475.65141) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{R. Cavoretto}, J. Sci. Comput. 87, No. 2, Paper No. 41, 24 p. (2021; Zbl 1467.65006) Full Text: DOI OA License
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 PDFBibTeX XMLCite \textit{R. Cavoretto} et al., J. Glob. Optim. 79, No. 2, 305--327 (2021; Zbl 1470.65012) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{J. Burkardt} et al., SIAM J. Sci. Comput. 43, No. 2, A1389--A1411 (2021; Zbl 1471.65207) Full Text: DOI arXiv
Mirzaei, Davoud The direct radial basis function partition of unity (D-RBF-PU) method for solving PDEs. (English) Zbl 1473.65331 SIAM J. Sci. Comput. 43, No. 1, A54-A83 (2021). Reviewer: Carlos A. De Moura (Rio de Janeiro) MSC: 65N35 65N06 65N12 65N15 65D12 65D07 PDFBibTeX XMLCite \textit{D. Mirzaei}, SIAM J. Sci. Comput. 43, No. 1, A54--A83 (2021; Zbl 1473.65331) Full Text: DOI arXiv
Ponzellini Marinelli, L.; Caruso, N.; Portapila, M. A stable computation on local boundary-domain integral method for elliptic PDEs. (English) Zbl 1524.65897 Math. Comput. Simul. 180, 379-400 (2021). MSC: 65N35 65N12 PDFBibTeX XMLCite \textit{L. Ponzellini Marinelli} et al., Math. Comput. Simul. 180, 379--400 (2021; Zbl 1524.65897) Full Text: DOI
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 PDFBibTeX XMLCite \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
Gholampour, Faranak; Hesameddini, Esmail; Taleei, Ameneh A stable RBF partition of unity local method for elliptic interface problems in two dimensions. (English) Zbl 1464.65202 Eng. Anal. Bound. Elem. 123, 220-232 (2021). MSC: 65N35 35J57 65D12 82B24 PDFBibTeX XMLCite \textit{F. Gholampour} et al., Eng. Anal. Bound. Elem. 123, 220--232 (2021; Zbl 1464.65202) Full Text: DOI
Mohammadi, Vahid; Dehghan, Mehdi; De Marchi, Stefano Numerical simulation of a prostate tumor growth model by the RBF-FD scheme and a semi-implicit time discretization. (English) Zbl 1457.92042 J. Comput. Appl. Math. 388, Article ID 113314, 24 p. (2021). MSC: 92C32 35Q92 PDFBibTeX XMLCite \textit{V. Mohammadi} et al., J. Comput. Appl. Math. 388, Article ID 113314, 24 p. (2021; Zbl 1457.92042) Full Text: DOI Link
Wenzel, Tizian; Santin, Gabriele; Haasdonk, Bernard A novel class of stabilized greedy kernel approximation algorithms: convergence, stability and uniform point distribution. (English) Zbl 1458.65018 J. Approx. Theory 262, Article ID 105508, 31 p. (2021). MSC: 65D15 41A30 41A63 PDFBibTeX XMLCite \textit{T. Wenzel} et al., J. Approx. Theory 262, Article ID 105508, 31 p. (2021; Zbl 1458.65018) Full Text: DOI arXiv
Larsson, Elisabeth; Sundin, Ulrika An investigation of global radial basis function collocation methods applied to Helmholtz problems. (English) Zbl 1540.65421 Dolomites Res. Notes Approx. 13, No. 1, 65-85 (2020). MSC: 65M70 65N35 35J05 PDFBibTeX XMLCite \textit{E. Larsson} and \textit{U. Sundin}, Dolomites Res. Notes Approx. 13, No. 1, 65--85 (2020; Zbl 1540.65421) Full Text: DOI arXiv
Mohammadi Rick, Solmaz; Rashidinia, Jalil Solving fractional diffusion equations by sinc and radial basis functions. (English) Zbl 1468.65167 Asian-Eur. J. Math. 13, No. 5, Article ID 2050101, 14 p. (2020). MSC: 65M70 65M06 26A33 65D12 35R11 PDFBibTeX XMLCite \textit{S. Mohammadi Rick} and \textit{J. Rashidinia}, Asian-Eur. J. Math. 13, No. 5, Article ID 2050101, 14 p. (2020; Zbl 1468.65167) Full Text: DOI
Wang, Fuzhang; Hou, Enran A direct meshless method for solving two-dimensional second-order hyperbolic telegraph equations. (English) Zbl 1489.65151 J. Math. 2020, Article ID 8832197, 9 p. (2020). MSC: 65M70 65D12 35L20 PDFBibTeX XMLCite \textit{F. Wang} and \textit{E. Hou}, J. Math. 2020, Article ID 8832197, 9 p. (2020; Zbl 1489.65151) Full Text: DOI OA License
Shankar, Varun; Wright, Grady B.; Narayan, Akil A robust hyperviscosity formulation for stable RBF-FD discretizations of advection-diffusion-reaction equations on manifolds. (English) Zbl 1478.65098 SIAM J. Sci. Comput. 42, No. 4, A2371-A2401 (2020). Reviewer: Denys Dutykh (Chambéry) MSC: 65M70 65M06 PDFBibTeX XMLCite \textit{V. Shankar} et al., SIAM J. Sci. Comput. 42, No. 4, A2371--A2401 (2020; Zbl 1478.65098) Full Text: DOI arXiv
Cheng, Alexander H. D.; Hong, Yongxing An overview of the method of fundamental solutions – solvability, uniqueness, convergence, and stability. (English) Zbl 1464.65264 Eng. Anal. Bound. Elem. 120, 118-152 (2020). MSC: 65N80 65N12 PDFBibTeX XMLCite \textit{A. H. D. Cheng} and \textit{Y. Hong}, Eng. Anal. Bound. Elem. 120, 118--152 (2020; Zbl 1464.65264) Full Text: DOI
Li, Hao-Yang; Jiang, Geng-Hui; Yang, Kai; Gao, Xiao-Wei A new approach to solve multi-medium nonlinear transient heat conduction problems using interface integration BEM. (English) Zbl 1464.80028 Eng. Anal. Bound. Elem. 119, 269-279 (2020). MSC: 80M15 65M38 80A19 PDFBibTeX XMLCite \textit{H.-Y. Li} et al., Eng. Anal. Bound. Elem. 119, 269--279 (2020; Zbl 1464.80028) Full Text: DOI
Fryklund, Fredrik; Kropinski, Mary Catherine A.; Tornberg, Anna-Karin An integral equation-based numerical method for the forced heat equation on complex domains. (English) Zbl 1452.65272 Adv. Comput. Math. 46, No. 5, Paper No. 69, 36 p. (2020). MSC: 65M70 65M80 65L06 65M06 65D30 35J05 65R20 35K05 PDFBibTeX XMLCite \textit{F. Fryklund} et al., Adv. Comput. Math. 46, No. 5, Paper No. 69, 36 p. (2020; Zbl 1452.65272) Full Text: DOI arXiv OA License
Cavoretto, Roberto; De Rossi, Alessandra A two-stage adaptive scheme based on RBF collocation for solving elliptic PDEs. (English) Zbl 1469.65168 Comput. Math. Appl. 79, No. 11, 3206-3222 (2020). Reviewer: Martin D. Buhmann (Gießen) MSC: 65N35 65D12 65D15 PDFBibTeX XMLCite \textit{R. Cavoretto} and \textit{A. De Rossi}, Comput. Math. Appl. 79, No. 11, 3206--3222 (2020; Zbl 1469.65168) Full Text: DOI Link
Esmaeili, H.; Moazami, Davoud A stable kernel-based technique for solving linear Fredholm integral equations of the second kind and its applications. (English) Zbl 1464.65287 Eng. Anal. Bound. Elem. 116, 48-63 (2020). MSC: 65R20 45B05 PDFBibTeX XMLCite \textit{H. Esmaeili} and \textit{D. Moazami}, Eng. Anal. Bound. Elem. 116, 48--63 (2020; Zbl 1464.65287) 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 PDFBibTeX XMLCite \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
Ahmad, Masood; Siraj-ul-Islam; Larsson, Elisabeth Local meshless methods for second order elliptic interface problems with sharp corners. (English) Zbl 1437.65208 J. Comput. Phys. 416, Article ID 109500, 16 p. (2020). MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{M. Ahmad} et al., J. Comput. Phys. 416, Article ID 109500, 16 p. (2020; Zbl 1437.65208) Full Text: DOI Link
Piret, Cécile; Dissanayake, Nadun; Gierke, John S.; Fornberg, Bengt The radial basis functions method for improved numerical approximations of geological processes in heterogeneous systems. (English) Zbl 1436.65019 Math. Geosci. 52, No. 4, 477-497 (2020). MSC: 65D12 86-08 PDFBibTeX XMLCite \textit{C. Piret} et al., Math. Geosci. 52, No. 4, 477--497 (2020; Zbl 1436.65019) Full Text: DOI
af Klinteberg, Ludvig; Askham, Travis; Kropinski, Mary Catherine A fast integral equation method for the two-dimensional Navier-Stokes equations. (English) Zbl 1435.76020 J. Comput. Phys. 409, Article ID 109353, 33 p. (2020). MSC: 76D05 65R20 65M12 PDFBibTeX XMLCite \textit{L. af Klinteberg} et al., J. Comput. Phys. 409, Article ID 109353, 33 p. (2020; Zbl 1435.76020) Full Text: DOI arXiv
De Marchi, S.; Marchetti, F.; Perracchione, E. Jumping with variably scaled discontinuous kernels (VSDKs). (English) Zbl 07209368 BIT 60, No. 2, 441-463 (2020). MSC: 65D05 65D15 41A05 41A25 PDFBibTeX XMLCite \textit{S. De Marchi} et al., BIT 60, No. 2, 441--463 (2020; Zbl 07209368) Full Text: DOI OA License
Davydov, Oleg; Oanh, Dang Thi; Tuong, Ngo Manh Octant-based stencil selection for meshless finite difference methods in 3D. (English) Zbl 1436.65158 Vietnam J. Math. 48, No. 1, 93-106 (2020). MSC: 65N06 35J15 PDFBibTeX XMLCite \textit{O. Davydov} et al., Vietnam J. Math. 48, No. 1, 93--106 (2020; Zbl 1436.65158) Full Text: DOI
Esmaeili, H.; Moazami, D. Application of Hilbert-Schmidt SVD approach to solve linear two-dimensional Fredholm integral equations of the second kind. (English) Zbl 1449.65359 Comput. Appl. Math. 39, No. 2, Paper No. 123, 22 p. (2020). MSC: 65R20 45B05 65D12 PDFBibTeX XMLCite \textit{H. Esmaeili} and \textit{D. Moazami}, Comput. Appl. Math. 39, No. 2, Paper No. 123, 22 p. (2020; Zbl 1449.65359) Full Text: DOI
Jabalameli, Mozhgan; Mirzaei, Davoud A weak-form RBF-generated finite difference method. (English) Zbl 1437.65160 Comput. Math. Appl. 79, No. 9, 2624-2643 (2020). MSC: 65N06 65N30 65N15 74B10 PDFBibTeX XMLCite \textit{M. Jabalameli} and \textit{D. Mirzaei}, Comput. Math. Appl. 79, No. 9, 2624--2643 (2020; Zbl 1437.65160) Full Text: DOI
Campagna, R.; Cuomo, S.; De Marchi, S.; Perracchione, E.; Severino, G. A stable meshfree PDE solver for source-type flows in porous media. (English) Zbl 1440.65242 Appl. Numer. Math. 149, 30-42 (2020). MSC: 65N35 65N15 76S05 35B65 35Q35 35Q86 86A05 PDFBibTeX XMLCite \textit{R. Campagna} et al., Appl. Numer. Math. 149, 30--42 (2020; Zbl 1440.65242) Full Text: DOI Link
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 PDFBibTeX XMLCite \textit{N. Karimi} et al., Eng. Anal. Bound. Elem. 112, 46--57 (2020; Zbl 1464.65013) Full Text: DOI
Singor, Stefan N.; Schols, Eric; Oosterlee, Cornelis W. Approximation of insurance liability contracts using radial basis functions. (English) Zbl 1483.91258 Int. J. Comput. Math. 96, No. 11, 2245-2271 (2019). MSC: 91G60 65D12 91G05 PDFBibTeX XMLCite \textit{S. N. Singor} et al., Int. J. Comput. Math. 96, No. 11, 2245--2271 (2019; Zbl 1483.91258) Full Text: DOI
Hong, Yongxing; Lu, Jun; Lin, Ji; Chen, Wen Numerical simulation of non-linear Schrödinger equations in arbitrary domain by the localized method of approximate particular solution. (English) Zbl 1488.65504 Adv. Appl. Math. Mech. 11, No. 1, 108-131 (2019). MSC: 65M70 PDFBibTeX XMLCite \textit{Y. Hong} et al., Adv. Appl. Math. Mech. 11, No. 1, 108--131 (2019; Zbl 1488.65504) 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
Qiao, Yuanyang; Zhao, Jianping; Feng, Xinlong A compact integrated RBF method for time fractional convection-diffusion-reaction equations. (English) Zbl 1442.65297 Comput. Math. Appl. 77, No. 9, 2263-2278 (2019). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Y. Qiao} et al., Comput. Math. Appl. 77, No. 9, 2263--2278 (2019; Zbl 1442.65297) Full Text: DOI
Rashidinia, Jalil; Rasoulizadeh, Mohammad Navaz Numerical methods based on radial basis function-generated finite difference (RBF-FD) for solution of GKdVB equation. (English) Zbl 1524.65678 Wave Motion 90, 152-167 (2019). MSC: 65M70 65M06 35Q53 PDFBibTeX XMLCite \textit{J. Rashidinia} and \textit{M. N. Rasoulizadeh}, Wave Motion 90, 152--167 (2019; Zbl 1524.65678) Full Text: DOI
Prashanthi, K. S.; Chandhini, G. Regularization of highly ill-conditioned RBF asymmetric collocation systems in fractional models. (English) Zbl 1450.65133 Singh, Vinai K. (ed.) et al., Advances in mathematical methods and high performance computing. Cham: Springer. Adv. Mech. Math. 41, 105-116 (2019). MSC: 65M70 65M06 65M30 35R25 35R11 26A33 PDFBibTeX XMLCite \textit{K. S. Prashanthi} and \textit{G. Chandhini}, Adv. Mech. Math. 41, 105--116 (2019; Zbl 1450.65133) Full Text: DOI
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 PDFBibTeX XMLCite \textit{K. Kormann} et al., SIAM J. Sci. Comput. 41, No. 6, A3839--A3859 (2019; Zbl 07141501) Full Text: DOI arXiv
Saberi Zafarghandi, Fahimeh; Mohammadi, Maryam; Babolian, Esmail; Javadi, Shahnam Radial basis functions method for solving the fractional diffusion equations. (English) Zbl 1429.65252 Appl. Math. Comput. 342, 224-246 (2019). MSC: 65M70 35R11 65M20 PDFBibTeX XMLCite \textit{F. Saberi Zafarghandi} et al., Appl. Math. Comput. 342, 224--246 (2019; Zbl 1429.65252) Full Text: DOI
Antunes, Pedro R. S. Extremal \(p\) -Laplacian eigenvalues. (English) Zbl 1425.35130 Nonlinearity 32, No. 12, 5087-5109 (2019). MSC: 35P30 49Q10 35P15 65N25 65N35 65D05 PDFBibTeX XMLCite \textit{P. R. S. Antunes}, Nonlinearity 32, No. 12, 5087--5109 (2019; Zbl 1425.35130) Full Text: DOI
Esmaeilbeigi, Mohsen; Chatrabgoun, Omid An efficient method based on RBFs for multilayer data interpolation with application in air pollution data analysis. (English) Zbl 1438.65018 Comput. Appl. Math. 38, No. 4, Paper No. 153, 20 p. (2019). MSC: 65D12 41A05 41A63 PDFBibTeX XMLCite \textit{M. Esmaeilbeigi} and \textit{O. Chatrabgoun}, Comput. Appl. Math. 38, No. 4, Paper No. 153, 20 p. (2019; Zbl 1438.65018) Full Text: DOI
Huang, X. W.; Wu, C. S. A meshless finite difference method based on polynomial interpolation. (English) Zbl 1416.65401 J. Sci. Comput. 80, No. 1, 667-691 (2019). MSC: 65N06 65D05 41A10 41A63 PDFBibTeX XMLCite \textit{X. W. Huang} and \textit{C. S. Wu}, J. Sci. Comput. 80, No. 1, 667--691 (2019; Zbl 1416.65401) Full Text: DOI
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 PDFBibTeX XMLCite \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 PDFBibTeX XMLCite \textit{S. De Marchi} et al., J. Sci. Comput. 79, No. 1, 321--344 (2019; Zbl 1415.65026) Full Text: DOI Link
Xu, Yuesheng; Ye, Qi Generalized Mercer kernels and reproducing kernel Banach spaces. (English) Zbl 1455.68009 Memoirs of the American Mathematical Society 1243. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-3550-9/pbk; 978-1-4704-5077-9/ebook). vi, 122 p. (2019). Reviewer: Martin D. Buhmann (Gießen) MSC: 68-02 46-02 65-02 46E22 65Dxx 68T05 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{Q. Ye}, Generalized Mercer kernels and reproducing kernel Banach spaces. Providence, RI: American Mathematical Society (AMS) (2019; Zbl 1455.68009) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{S. Le Borne}, SIAM J. Matrix Anal. Appl. 40, No. 2, 517--541 (2019; Zbl 07062411) Full Text: DOI
De Marchi, S.; Martínez, A.; Perracchione, E. Fast and stable rational RBF-based partition of unity interpolation. (English) Zbl 1524.65075 J. Comput. Appl. Math. 349, 331-343 (2019). MSC: 65D12 41A05 41A30 65D15 65D17 PDFBibTeX XMLCite \textit{S. De Marchi} et al., J. Comput. Appl. Math. 349, 331--343 (2019; Zbl 1524.65075) Full Text: DOI
Rossini, Milvia Interpolating functions with gradient discontinuities via variably scaled kernels. (English) Zbl 1540.41062 Dolomites Res. Notes Approx. 11, No. 2, 3-14 (2018). MSC: 41A63 41A05 PDFBibTeX XMLCite \textit{M. Rossini}, Dolomites Res. Notes Approx. 11, No. 2, 3--14 (2018; Zbl 1540.41062) Full Text: DOI
Vlasiuk, Oleksandr; Michaels, Timothy; Flyer, N.; Fornberg, Bengt Fast high-dimensional node generation with variable density. (English) Zbl 1524.65078 Comput. Math. Appl. 76, No. 7, 1739-1757 (2018). MSC: 65D12 65C05 86A10 PDFBibTeX XMLCite \textit{O. Vlasiuk} et al., Comput. Math. Appl. 76, No. 7, 1739--1757 (2018; Zbl 1524.65078) Full Text: DOI arXiv
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 PDFBibTeX XMLCite \textit{V. Stolbunov} and \textit{P. B. Nair}, Appl. Math. Comput. 330, 170--184 (2018; Zbl 1427.65014) Full Text: DOI
Haasdonk, Bernard; Santin, Gabriele Greedy kernel approximation for sparse surrogate modeling. (English) Zbl 1416.65059 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 21-45 (2018). MSC: 65D15 65D05 PDFBibTeX XMLCite \textit{B. Haasdonk} and \textit{G. Santin}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 21--45 (2018; Zbl 1416.65059) Full Text: DOI
Esmaeilbeigi, M.; Chatrabgoun, O.; Cheraghi, M. Fractional Hermite interpolation using RBFs in high dimensions over irregular domains with application. (English) Zbl 1416.65049 J. Comput. Phys. 375, 1091-1120 (2018). MSC: 65D05 41A05 35R11 PDFBibTeX XMLCite \textit{M. Esmaeilbeigi} et al., J. Comput. Phys. 375, 1091--1120 (2018; Zbl 1416.65049) Full Text: DOI