Chen, Meng; Cheung, Ka Chun; Ling, Leevan A kernel-based least-squares collocation method for surface diffusion. (English) Zbl 07695663 SIAM J. Numer. Anal. 61, No. 3, 1386-1404 (2023). MSC: 65N35 65N40 65N30 65D12 65N12 41A63 PDFBibTeX XMLCite \textit{M. Chen} et al., SIAM J. Numer. Anal. 61, No. 3, 1386--1404 (2023; Zbl 07695663) Full Text: DOI arXiv
Sun, Zhengjie; Ling, Leevan; Chen, Meng Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces. arXiv:2312.17478 Preprint, arXiv:2312.17478 [math.NA] (2023). MSC: 65D05 65M12 65M60 65N40 BibTeX Cite \textit{Z. Sun} et al., ``Structure-preserving Kernel-based methods for solving dissipative PDEs on surfaces'', Preprint, arXiv:2312.17478 [math.NA] (2023) Full Text: arXiv OA License
Chen, Meng; Ling, Leevan; Yun, Dongfang Proving the stability estimates of variational least-squares Kernel-Based methods. arXiv:2312.07080 Preprint, arXiv:2312.07080 [math.NA] (2023). BibTeX Cite \textit{M. Chen} et al., ``Proving the stability estimates of variational least-squares Kernel-Based methods'', Preprint, arXiv:2312.07080 [math.NA] (2023) Full Text: arXiv OA License
Hu, Wen; Fu, Zhuojia; Ling, Leevan Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces. arXiv:2307.10009 Preprint, arXiv:2307.10009 [math.NA] (2023). MSC: 35J05 65N35 74J05 BibTeX Cite \textit{W. Hu} et al., ``Simulating time-harmonic acoustic wave effects induced by periodic holes/inclusions on surfaces'', Preprint, arXiv:2307.10009 [math.NA] (2023) Full Text: arXiv OA License
Li, Siqing; Ling, Leevan; Ruuth, Steven J.; Wang, Xuemeng Realistic pattern formations on surfaces by adding arbitrary roughness. arXiv:2301.13148 Preprint, arXiv:2301.13148 [math.NA] (2023). BibTeX Cite \textit{S. Li} et al., ``Realistic pattern formations on surfaces by adding arbitrary roughness'', Preprint, arXiv:2301.13148 [math.NA] (2023) Full Text: arXiv OA License
Wang, Yinghua; Wang, Bao-Shan; Ling, Leevan; Don, Wai Sun A time-continuous embedding method for scalar hyperbolic conservation laws on manifolds. (English) Zbl 1504.65187 J. Sci. Comput. 93, No. 3, Paper No. 84, 26 p. (2022). Reviewer: Abdallah Bradji (Annaba) MSC: 65M08 65L06 65N08 65D05 35L65 35L67 76P05 76M12 35Q35 35Q53 PDFBibTeX XMLCite \textit{Y. Wang} et al., J. Sci. Comput. 93, No. 3, Paper No. 84, 26 p. (2022; Zbl 1504.65187) Full Text: DOI
Petras, Argyrios; Ling, Leevan; Ruuth, Steven J. Meshfree semi-Lagrangian methods for solving surface advection PDEs. (English) Zbl 1497.65132 J. Sci. Comput. 93, No. 1, Paper No. 11, 22 p. (2022). MSC: 65M06 65M25 65L06 65D12 65D07 65M12 35A01 35A30 35A24 35B36 PDFBibTeX XMLCite \textit{A. Petras} et al., J. Sci. Comput. 93, No. 1, Paper No. 11, 22 p. (2022; Zbl 1497.65132) 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 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{L. Ling}, SIAM J. Sci. Comput. 44, No. 4, A2789--A2807 (2022; Zbl 1503.65248) Full Text: DOI arXiv
Ling, L.; Marchetti, F. A stochastic extended Rippa’s algorithm for LpOCV. (English) Zbl 1503.65028 Appl. Math. Lett. 129, Article ID 107955, 7 p. (2022). MSC: 65D05 65D12 PDFBibTeX XMLCite \textit{L. Ling} and \textit{F. Marchetti}, Appl. Math. Lett. 129, Article ID 107955, 7 p. (2022; Zbl 1503.65028) Full Text: DOI arXiv
Chen, Meng; Ling, Leevan Exploring Oversampling in RBF Least-Squares Collocation Method of Lines for Surface Diffusion. arXiv:2203.08579 Preprint, arXiv:2203.08579 [math.NA] (2022). MSC: 65Mxx 65-XX 65-XX 17-XX 65-XX 18-XX BibTeX Cite \textit{M. Chen} and \textit{L. Ling}, ``Exploring Oversampling in RBF Least-Squares Collocation Method of Lines for Surface Diffusion'', Preprint, arXiv:2203.08579 [math.NA] (2022) Full Text: arXiv OA License
Tang, Zhuochao; Fu, Zhuojia; Chen, Meng; Ling, Leevan A localized extrinsic collocation method for Turing pattern formations on surfaces. (English) Zbl 1524.35321 Appl. Math. Lett. 122, Article ID 107534, 7 p. (2021). MSC: 35K57 65M70 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{Z. Tang} et al., Appl. Math. Lett. 122, Article ID 107534, 7 p. (2021; Zbl 1524.35321) Full Text: DOI
Li, Siqing; Ling, Leevan Complex pattern formations by spatial varying parameters. (English) Zbl 1488.35305 Adv. Appl. Math. Mech. 12, No. 6, 1327-1352 (2020). MSC: 35K57 65M70 PDFBibTeX XMLCite \textit{S. Li} and \textit{L. Ling}, Adv. Appl. Math. Mech. 12, No. 6, 1327--1352 (2020; Zbl 1488.35305) Full Text: DOI
Chen, Meng; Ling, Leevan Kernel-based collocation methods for heat transport on evolving surfaces. (English) Zbl 1453.65356 J. Comput. Phys. 405, Article ID 109166, 13 p. (2020). MSC: 65M70 35R01 35Q79 65Z05 PDFBibTeX XMLCite \textit{M. Chen} and \textit{L. Ling}, J. Comput. Phys. 405, Article ID 109166, 13 p. (2020; Zbl 1453.65356) Full Text: DOI arXiv
Chen, Meng; Cheung, Ka Chun; Ling, Leevan Solving partial differential equations on surfaces with fundamental solutions. (English) Zbl 1454.65183 Alves, Carlos (ed.) et al., Advances in Trefftz methods and their applications. Selected papers based on the presentations at the 9th conference on Trefftz methods and 5th conference on method of fundamental solutions, Lisbon, Portugal, July 29–31, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 23, 1-11 (2020). MSC: 65N80 65N35 PDFBibTeX XMLCite \textit{M. Chen} et al., SEMA SIMAI Springer Ser. 23, 1--11 (2020; Zbl 1454.65183) Full Text: DOI
Chiu, Sung Nok; Ling, Leevan; McCourt, Michael On variable and random shape Gaussian interpolations. (English) Zbl 1508.65010 Appl. Math. Comput. 377, Article ID 125159, 13 p. (2020). MSC: 65D12 41A05 65D05 PDFBibTeX XMLCite \textit{S. N. Chiu} et al., Appl. Math. Comput. 377, Article ID 125159, 13 p. (2020; Zbl 1508.65010) Full Text: DOI
Chen, Meng; Ling, Leevan Extrinsic meshless collocation methods for PDEs on manifolds. (English) Zbl 1435.65216 SIAM J. Numer. Anal. 58, No. 2, 988-1007 (2020). MSC: 65N35 65N12 65D15 41A63 58J05 PDFBibTeX XMLCite \textit{M. Chen} and \textit{L. Ling}, SIAM J. Numer. Anal. 58, No. 2, 988--1007 (2020; Zbl 1435.65216) Full Text: DOI
LI, Siqing; Ling, Leevan; Liu, Xin; Mishra, Pankaj K; Sen, Mrinal K; Zhang, Jing Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity. arXiv:2004.06319 Preprint, arXiv:2004.06319 [math.NA] (2020). BibTeX Cite \textit{S. LI} et al., ``Enhancing RBF-FD Efficiency for Highly Non-Uniform Node Distributions via Adaptivity'', Preprint, arXiv:2004.06319 [math.NA] (2020) Full Text: arXiv OA License
Li, Siqing; Ling, Leevan Collocation methods for Cauchy problems of elliptic operators via conditional stabilities. (English) Zbl 1473.65271 Commun. Comput. Phys. 26, No. 3, 785-808 (2019). MSC: 65N21 65D15 65N12 65N35 PDFBibTeX XMLCite \textit{S. Li} and \textit{L. Ling}, Commun. Comput. Phys. 26, No. 3, 785--808 (2019; Zbl 1473.65271) Full Text: DOI
Petras, A.; Ling, L.; Piret, C.; Ruuth, S. J. A least-squares implicit RBF-FD closest point method and applications to PDEs on moving surfaces. (English) Zbl 1451.65110 J. Comput. Phys. 381, 146-161 (2019). MSC: 65M06 35R01 65M75 76R50 76R10 35K05 PDFBibTeX XMLCite \textit{A. Petras} et al., J. Comput. Phys. 381, 146--161 (2019; Zbl 1451.65110) Full Text: DOI arXiv
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
Li, Siqing; Ling, Leevan; Cheung, Ka Chun Discrete least-squares radial basis functions approximations. (English) Zbl 1429.65036 Appl. Math. Comput. 355, 542-552 (2019). MSC: 65D15 41A30 41A63 PDFBibTeX XMLCite \textit{S. Li} et al., Appl. Math. Comput. 355, 542--552 (2019; Zbl 1429.65036) Full Text: DOI
Chen, Meng; Ling, Leevan Kernel-based meshless collocation methods for solving coupled bulk-surface partial differential equations. (English) Zbl 1462.65209 J. Sci. Comput. 81, No. 1, 375-391 (2019). MSC: 65N35 65D15 41A63 65N12 65N15 PDFBibTeX XMLCite \textit{M. Chen} and \textit{L. Ling}, J. Sci. Comput. 81, No. 1, 375--391 (2019; Zbl 1462.65209) Full Text: DOI
Li, Siqing; Ling, Leevan Weighted least-squares collocation methods for elliptic PDEs with mixed boundary conditions. (English) Zbl 1464.65208 Eng. Anal. Bound. Elem. 105, 146-154 (2019). MSC: 65N35 65N12 PDFBibTeX XMLCite \textit{S. Li} and \textit{L. Ling}, Eng. Anal. Bound. Elem. 105, 146--154 (2019; Zbl 1464.65208) Full Text: DOI
Guo, Xu; Ling, Leevan Evaluation finite moment log-stable option pricing by a spectral method. (English) Zbl 1424.91126 Numer. Math., Theory Methods Appl. 11, No. 3, 437-452 (2018). MSC: 91G20 35K10 35R11 PDFBibTeX XMLCite \textit{X. Guo} and \textit{L. Ling}, Numer. Math., Theory Methods Appl. 11, No. 3, 437--452 (2018; Zbl 1424.91126) Full Text: DOI
Ling, Leevan; Ye, Qi On meshfree numerical differentiation. (English) Zbl 1415.65053 Anal. Appl., Singap. 16, No. 5, 717-739 (2018). MSC: 65D25 PDFBibTeX XMLCite \textit{L. Ling} and \textit{Q. Ye}, Anal. Appl., Singap. 16, No. 5, 717--739 (2018; Zbl 1415.65053) Full Text: DOI
Yang, Fenglian; Yan, Liang; Ling, Leevan Doubly stochastic radial basis function methods. (English) Zbl 1392.65016 J. Comput. Phys. 363, 87-97 (2018). MSC: 65D05 65D15 65C20 PDFBibTeX XMLCite \textit{F. Yang} et al., J. Comput. Phys. 363, 87--97 (2018; Zbl 1392.65016) Full Text: DOI
Petras, A.; Ling, L.; Ruuth, S. J. An RBF-FD closest point method for solving PDEs on surfaces. (English) Zbl 1395.65029 J. Comput. Phys. 370, 43-57 (2018). MSC: 65M06 35R01 PDFBibTeX XMLCite \textit{A. Petras} et al., J. Comput. Phys. 370, 43--57 (2018; Zbl 1395.65029) Full Text: DOI arXiv Link
Cheung, Ka Chun; Ling, Leevan; Schaback, Robert \(H^2\)-convergence of least-squares kernel collocation methods. (English) Zbl 1436.65020 SIAM J. Numer. Anal. 56, No. 1, 614-633 (2018). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D15 65D12 65N35 41A63 PDFBibTeX XMLCite \textit{K. C. Cheung} et al., SIAM J. Numer. Anal. 56, No. 1, 614--633 (2018; Zbl 1436.65020) Full Text: DOI arXiv
Cheung, Ka Chun; Ling, Leevan A kernel-based embedding method and convergence analysis for surfaces PDEs. (English) Zbl 1382.65425 SIAM J. Sci. Comput. 40, No. 1, A266-A287 (2018). MSC: 65N35 58J05 65N12 35K57 PDFBibTeX XMLCite \textit{K. C. Cheung} and \textit{L. Ling}, SIAM J. Sci. Comput. 40, No. 1, A266--A287 (2018; Zbl 1382.65425) 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
Fu, Zhuo-Jia; Chen, Wen; Ling, Leevan Method of approximate particular solutions for constant- and variable-order fractional diffusion models. (English) Zbl 1403.65087 Eng. Anal. Bound. Elem. 57, 37-46 (2015). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{Z.-J. Fu} et al., Eng. Anal. Bound. Elem. 57, 37--46 (2015; Zbl 1403.65087) Full Text: DOI
Cheung, Ka Chun; Ling, Leevan; Ruuth, Steven J. A localized meshless method for diffusion on folded surfaces. (English) Zbl 1349.65508 J. Comput. Phys. 297, 194-206 (2015). MSC: 65M70 35K20 53C42 PDFBibTeX XMLCite \textit{K. C. Cheung} et al., J. Comput. Phys. 297, 194--206 (2015; Zbl 1349.65508) Full Text: DOI
Li, Ming; Wang, Yujiao; Ling, Leevan Numerical Caputo differentiation by radial basis functions. (English) Zbl 1309.62159 J. Sci. Comput. 62, No. 1, 300-315 (2015). MSC: 62M40 65D25 65F22 PDFBibTeX XMLCite \textit{M. Li} et al., J. Sci. Comput. 62, No. 1, 300--315 (2015; Zbl 1309.62159) Full Text: DOI
Kansa, E. J.; Ling, L. Collocation and optimization initialization. (English) Zbl 1327.65198 Brebbia, C. A. (ed.) et al., Boundary elements and other mesh reduction methods XXXVII. Selected papers based on the presentations at the 37th international conference (BEM/MRM), New Forest, UK, September 8–10, 2014. Southampton: WIT Press (ISBN 978-1-84564-896-1/hbk; 978-1-84564-897-8/ebook). WIT Transactions on Modelling and Simulation 57, 55-61 (2014). MSC: 65M70 PDFBibTeX XMLCite \textit{E. J. Kansa} and \textit{L. Ling}, WIT Trans. Model. Simul. 57, 55--61 (2014; Zbl 1327.65198)
Ling, Leevan; Yamamoto, Masahiro Numerical simulations for space-time fractional diffusion equations. (English) Zbl 1359.65223 Int. J. Comput. Methods 10, No. 2, Article ID 1341001, 13 p. (2013). MSC: 65M80 35R11 45K05 65M70 PDFBibTeX XMLCite \textit{L. Ling} and \textit{M. Yamamoto}, Int. J. Comput. Methods 10, No. 2, Article ID 1341001, 13 p. (2013; Zbl 1359.65223) Full Text: DOI
Vrankar, Leopold; Libre, Nicolas Ali; Ling, Leevan; Turk, Goran; Runovc, Franc Solving moving-boundary problems with the wavelet adaptive radial basis functions method. (English) Zbl 1290.76118 Comput. Fluids 86, 37-44 (2013). MSC: 76M25 65M70 76D27 PDFBibTeX XMLCite \textit{L. Vrankar} et al., Comput. Fluids 86, 37--44 (2013; Zbl 1290.76118) Full Text: DOI
Shirzadi, Ahmad; Ling, Leevan Convergent overdetermined-RBF-MLPG for solving second order elliptic PDEs. (English) Zbl 1262.35096 Adv. Appl. Math. Mech. 5, No. 1, 78-89 (2013). MSC: 35J25 65N12 65D30 PDFBibTeX XMLCite \textit{A. Shirzadi} and \textit{L. Ling}, Adv. Appl. Math. Mech. 5, No. 1, 78--89 (2013; Zbl 1262.35096) Full Text: DOI
Shirzadi, Ahmad; Ling, Leevan; Abbasbandy, Saeid Meshless simulations of the two-dimensional fractional-time convection-diffusion-reaction equations. (English) Zbl 1352.65263 Eng. Anal. Bound. Elem. 36, No. 11, 1522-1527 (2012). MSC: 65M06 45K05 35R11 35K57 PDFBibTeX XMLCite \textit{A. Shirzadi} et al., Eng. Anal. Bound. Elem. 36, No. 11, 1522--1527 (2012; Zbl 1352.65263) Full Text: DOI
Wang, Fuzhang; Chen, Wen; Ling, Leevan Combinations of the method of fundamental solutions for general inverse source identification problems. (English) Zbl 1287.35103 Appl. Math. Comput. 219, No. 3, 1173-1182 (2012). MSC: 35R30 65N21 PDFBibTeX XMLCite \textit{F. Wang} et al., Appl. Math. Comput. 219, No. 3, 1173--1182 (2012; Zbl 1287.35103) Full Text: DOI
Ling, Leevan An adaptive-hybrid meshfree approximation method. (English) Zbl 1242.76245 Int. J. Numer. Methods Eng. 89, No. 5, 637-657 (2012). MSC: 76M25 PDFBibTeX XMLCite \textit{L. Ling}, Int. J. Numer. Methods Eng. 89, No. 5, 637--657 (2012; Zbl 1242.76245) Full Text: DOI
Yamamoto, Masahiro (ed.); Cheng, Jin (ed.); Hon, Benny (ed.); Lee, June-Yub (ed.); Ling, Leevan (ed.); Liu, Gui-Rong (ed.); Wang, Jenn-Nan (ed.) Special issue: 5th international conference on inverse problems – recent theoretical development and numerical approaches, Hong Kong, China, December 13–17, 2010. (English) Zbl 1283.65004 Appl. Anal. 91, No. 4, 615-856 (2012). MSC: 65-06 00B25 65M32 65N21 PDFBibTeX XML
Han, Houde; Ling, Leevan; Takeuchi, Tomoya An energy regularization for Cauchy problems of Laplace equation in annulus domain. (English) Zbl 1364.65229 Commun. Comput. Phys. 9, No. 4, 878-896 (2011). MSC: 65N12 65N15 65N21 PDFBibTeX XMLCite \textit{H. Han} et al., Commun. Comput. Phys. 9, No. 4, 878--896 (2011; Zbl 1364.65229) Full Text: DOI
Tang, Man-Lai; Poon, Wai-Yin; Ling, Leevan; Liao, Yijie; Chui, Hang-Wai Approximate unconditional test procedure for comparing two ordered multinomials. (English) Zbl 1284.62114 Comput. Stat. Data Anal. 55, No. 2, 955-963 (2011). MSC: 62E17 PDFBibTeX XMLCite \textit{M.-L. Tang} et al., Comput. Stat. Data Anal. 55, No. 2, 955--963 (2011; Zbl 1284.62114) Full Text: DOI
Yang, F. L.; Ling, Leevan On numerical experiments for Cauchy problems of elliptic operators. (English) Zbl 1259.65199 Eng. Anal. Bound. Elem. 35, No. 7, 879-882 (2011). MSC: 65N80 PDFBibTeX XMLCite \textit{F. L. Yang} and \textit{L. Ling}, Eng. Anal. Bound. Elem. 35, No. 7, 879--882 (2011; Zbl 1259.65199) Full Text: DOI
Wong, Kwun Ying; Ling, Leevan Optimality of the method of fundamental solutions. (English) Zbl 1259.65198 Eng. Anal. Bound. Elem. 35, No. 1, 42-46 (2011). MSC: 65N80 PDFBibTeX XMLCite \textit{K. Y. Wong} and \textit{L. Ling}, Eng. Anal. Bound. Elem. 35, No. 1, 42--46 (2011; Zbl 1259.65198) Full Text: DOI
Au, Chi Yan; Fung, Eric S.; Ling, Leevan Numerical methods for backward Markov chain driven Black-Scholes option pricing. (English) Zbl 1209.91166 Front. Math. China 6, No. 1, 17-33 (2011). MSC: 91G60 65M70 60J22 PDFBibTeX XMLCite \textit{C. Y. Au} et al., Front. Math. China 6, No. 1, 17--33 (2011; Zbl 1209.91166) Full Text: DOI
Chen, C. S.; Kwok, T. O.; Ling, L. Adaptive method of particular solution for solving 3D inhomogeneous elliptic equations. (English) Zbl 1267.65190 Int. J. Comput. Methods 7, No. 3 (2010). MSC: 65N35 PDFBibTeX XML Full Text: DOI
Vrankar, L.; Kansa, E. J.; Ling, L.; Runovc, F.; Turk, G. Moving-boundary problems solved by adaptive radial basis functions. (English) Zbl 1245.76114 Comput. Fluids 39, No. 9, 1480-1490 (2010). MSC: 76M25 PDFBibTeX XMLCite \textit{L. Vrankar} et al., Comput. Fluids 39, No. 9, 1480--1490 (2010; Zbl 1245.76114) Full Text: DOI Link
Yang, F. L.; Ling, Leevan; Wei, T. An adaptive greedy technique for inverse boundary determination problem. (English) Zbl 1201.65186 J. Comput. Phys. 229, No. 22, 8484-8496 (2010). MSC: 65M80 65M32 35J05 35R30 PDFBibTeX XMLCite \textit{F. L. Yang} et al., J. Comput. Phys. 229, No. 22, 8484--8496 (2010; Zbl 1201.65186) Full Text: DOI
Kwok, Ting-On; Ling, Leevan Dimension-splitting data points redistribution for meshless approximation. (English) Zbl 1200.65011 J. Comput. Appl. Math. 235, No. 3, 736-746 (2010). MSC: 65D15 65D05 PDFBibTeX XMLCite \textit{T.-O. Kwok} and \textit{L. Ling}, J. Comput. Appl. Math. 235, No. 3, 736--746 (2010; Zbl 1200.65011) Full Text: DOI
Brunner, Hermann; Ling, Leevan; Yamamoto, Masahiro Numerical simulations of 2D fractional subdiffusion problems. (English) Zbl 1197.65143 J. Comput. Phys. 229, No. 18, 6613-6622 (2010). MSC: 65M70 35K05 35R11 PDFBibTeX XMLCite \textit{H. Brunner} et al., J. Comput. Phys. 229, No. 18, 6613--6622 (2010; Zbl 1197.65143) Full Text: DOI
Ling, Leevan; Takeuchi, Tomoya Point sources identification problems for heat equations. (English) Zbl 1364.35436 Commun. Comput. Phys. 5, No. 5, 897-913 (2009). MSC: 35R30 35K05 80A23 65M32 PDFBibTeX XMLCite \textit{L. Ling} and \textit{T. Takeuchi}, Commun. Comput. Phys. 5, No. 5, 897--913 (2009; Zbl 1364.35436)
Kwok, Ting-On; Ling, Leevan On convergence of a least-squares Kansa’s method for the modified Helmholtz equations. (English) Zbl 1262.35093 Adv. Appl. Math. Mech. 1, No. 3, 367-382 (2009). MSC: 35J25 65N12 65N15 65N35 PDFBibTeX XMLCite \textit{T.-O. Kwok} and \textit{L. Ling}, Adv. Appl. Math. Mech. 1, No. 3, 367--382 (2009; Zbl 1262.35093)
Kansa, Edward J.; Aldredge, Ralph C.; Ling, Leevan Numerical simulation of two-dimensional combustion using mesh-free methods. (English) Zbl 1244.76075 Eng. Anal. Bound. Elem. 33, No. 7, 940-950 (2009). MSC: 76M25 76V05 80A25 PDFBibTeX XMLCite \textit{E. J. Kansa} et al., Eng. Anal. Bound. Elem. 33, No. 7, 940--950 (2009; Zbl 1244.76075) Full Text: DOI
Drombosky, Tyler W.; Meyer, Ashley L.; Ling, Leevan Applicability of the method of fundamental solutions. (English) Zbl 1244.65220 Eng. Anal. Bound. Elem. 33, No. 5, 637-643 (2009). MSC: 65N80 PDFBibTeX XMLCite \textit{T. W. Drombosky} et al., Eng. Anal. Bound. Elem. 33, No. 5, 637--643 (2009; Zbl 1244.65220) Full Text: DOI
Ling, Leevan; Schaback, Robert An improved subspace selection algorithm for meshless collocation methods. (English) Zbl 1183.65153 Int. J. Numer. Methods Eng. 80, No. 13, 1623-1639 (2009). MSC: 65N35 PDFBibTeX XMLCite \textit{L. Ling} and \textit{R. Schaback}, Int. J. Numer. Methods Eng. 80, No. 13, 1623--1639 (2009; Zbl 1183.65153) Full Text: DOI
Lee, Cheng-Feng; Ling, Leevan; Schaback, Robert On convergent numerical algorithms for unsymmetric collocation. (English) Zbl 1168.65419 Adv. Comput. Math. 30, No. 4, 339-354 (2009). MSC: 65N35 65N12 65N15 PDFBibTeX XMLCite \textit{C.-F. Lee} et al., Adv. Comput. Math. 30, No. 4, 339--354 (2009; Zbl 1168.65419) Full Text: DOI
Ling, Leevan Arbitrary precision computations of variations of Kansa’s method. (English) Zbl 1166.65397 Ferreira, A. J. M. (ed.) et al., Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9–11, 2007. Dordrecht: Springer (ISBN 978-1-4020-8820-9/hbk). Computational Methods in Applied Sciences (Springer) 11, 77-83 (2009). MSC: 65N35 PDFBibTeX XMLCite \textit{L. Ling}, in: Progress on meshless methods. Invited papers based on the presentations at the 2nd ECCOMAS thematic conference on meshless methods, Porto, Portugal, July 9--11, 2007. Dordrecht: Springer. 77--83 (2009; Zbl 1166.65397) Full Text: DOI
Ling, Leevan; Takeuchi, Tomoya Boundary control for inverse Cauchy problems of the Laplace equations. (English) Zbl 1232.65140 CMES, Comput. Model. Eng. Sci. 29, No. 1, 45-54 (2008). MSC: 65N21 49N45 93B40 93C20 PDFBibTeX XMLCite \textit{L. Ling} and \textit{T. Takeuchi}, CMES, Comput. Model. Eng. Sci. 29, No. 1, 45--54 (2008; Zbl 1232.65140) Full Text: DOI
Ling, Leevan; Schaback, Robert Stable and convergent unsymmetric meshless collocation methods. (English) Zbl 1167.65059 SIAM J. Numer. Anal. 46, No. 3, 1097-1115 (2008). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N12 65N15 PDFBibTeX XMLCite \textit{L. Ling} and \textit{R. Schaback}, SIAM J. Numer. Anal. 46, No. 3, 1097--1115 (2008; Zbl 1167.65059) Full Text: DOI
Wei, Ting; Hon, Y. C.; Ling, Leevan Method of fundamental solutions with regularization techniques for Cauchy problems of elliptic operators. (English) Zbl 1195.65206 Eng. Anal. Bound. Elem. 31, No. 4, 373-385 (2007). MSC: 65N80 PDFBibTeX XMLCite \textit{T. Wei} et al., Eng. Anal. Bound. Elem. 31, No. 4, 373--385 (2007; Zbl 1195.65206) Full Text: DOI
Li, Zi-Cai; Huang, Hung-Tsai; Huang, Jin; Ling, Leevan Stability analysis for the penalty plus hybrid and the direct Trefftz methods for singularity problems. (English) Zbl 1195.65153 Eng. Anal. Bound. Elem. 31, No. 2, 163-175 (2007). MSC: 65N12 65N22 65F10 PDFBibTeX XMLCite \textit{Z.-C. Li} et al., Eng. Anal. Bound. Elem. 31, No. 2, 163--175 (2007; Zbl 1195.65153) Full Text: DOI
Ling, Leevan; Takeuchi, Tomoya An accurate refinement scheme for inverse heat source location identifications. (English) Zbl 1184.65089 CMES, Comput. Model. Eng. Sci. 20, No. 2, 135-144 (2007). MSC: 65M32 35R30 80M99 PDFBibTeX XMLCite \textit{L. Ling} and \textit{T. Takeuchi}, CMES, Comput. Model. Eng. Sci. 20, No. 2, 135--144 (2007; Zbl 1184.65089)
Ling, Leevan; Opfer, Roland; Schaback, Robert Results on meshless collocation techniques. (English) Zbl 1195.65177 Eng. Anal. Bound. Elem. 30, No. 4, 247-253 (2006). MSC: 65N35 PDFBibTeX XMLCite \textit{L. Ling} et al., Eng. Anal. Bound. Elem. 30, No. 4, 247--253 (2006; Zbl 1195.65177) Full Text: DOI
Wertz, J.; Kansa, E. J.; Ling, L. The role of the multiquadric shape parameters in solving elliptic partial differential equations. (English) Zbl 1146.65078 Comput. Math. Appl. 51, No. 8, 1335-1348 (2006). MSC: 65N35 35J25 65N12 65N55 PDFBibTeX XMLCite \textit{J. Wertz} et al., Comput. Math. Appl. 51, No. 8, 1335--1348 (2006; Zbl 1146.65078) Full Text: DOI
Ling, Leevan Finding numerical derivatives for unstructured and noisy data by multiscale kernels. (English) Zbl 1126.65021 SIAM J. Numer. Anal. 44, No. 4, 1780-1800 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65D25 65D05 41A63 PDFBibTeX XMLCite \textit{L. Ling}, SIAM J. Numer. Anal. 44, No. 4, 1780--1800 (2006; Zbl 1126.65021) Full Text: DOI
Ling, Leevan; Yamamoto, Masahiro; Hon, Y. C.; Takeuchi, Tomoya Identification of source locations in two-dimensional heat equations. (English) Zbl 1112.35147 Inverse Probl. 22, No. 4, 1289-1305 (2006). MSC: 35R30 35K20 PDFBibTeX XMLCite \textit{L. Ling} et al., Inverse Probl. 22, No. 4, 1289--1305 (2006; Zbl 1112.35147) Full Text: DOI
Ling, Leevan; Trummer, Manfred R. Adaptive multiquadric collocation for boundary layer problems. (English) Zbl 1086.65078 J. Comput. Appl. Math. 188, No. 2, 265-282 (2006). MSC: 65L10 65L60 65L70 34B05 34E15 PDFBibTeX XMLCite \textit{L. Ling} and \textit{M. R. Trummer}, J. Comput. Appl. Math. 188, No. 2, 265--282 (2006; Zbl 1086.65078) Full Text: DOI
Ling, Leevan; Hon, Y. C.; Yamamoto, M. Inverse source identification for Poisson equation. (English) Zbl 1194.65130 Inverse Probl. Sci. Eng. 13, No. 4, 433-447 (2005). MSC: 65N21 PDFBibTeX XMLCite \textit{L. Ling} et al., Inverse Probl. Sci. Eng. 13, No. 4, 433--447 (2005; Zbl 1194.65130) Full Text: DOI
Ling, L.; Hon, Y. C. Improved numerical solver for Kansa’s method based on affine space decomposition. (English) Zbl 1182.65176 Eng. Anal. Bound. Elem. 29, No. 12, 1077-1085 (2005). MSC: 65N35 PDFBibTeX XMLCite \textit{L. Ling} and \textit{Y. C. Hon}, Eng. Anal. Bound. Elem. 29, No. 12, 1077--1085 (2005; Zbl 1182.65176) Full Text: DOI
Brown, Damian; Ling, Leevan; Kansa, Edward; Levesley, Jermy On approximate cardinal preconditioning methods for solving PDEs with radial basis functions. (English) Zbl 1182.65174 Eng. Anal. Bound. Elem. 29, No. 4, 343-353 (2005). MSC: 65N35 65M70 PDFBibTeX XMLCite \textit{D. Brown} et al., Eng. Anal. Bound. Elem. 29, No. 4, 343--353 (2005; Zbl 1182.65174) Full Text: DOI
Hon, Y. C.; Ling, L.; Liew, K. M. Numerical analysis of parameters in a laminated beam model by radial basis functions. (English) Zbl 1160.74424 CMC, Comput. Mater. Continua 2, No. 1, 39-49 (2005). MSC: 74S30 74K10 74E30 PDFBibTeX XMLCite \textit{Y. C. Hon} et al., CMC, Comput. Mater. Continua 2, No. 1, 39--49 (2005; Zbl 1160.74424)
Ling, Leevan; Kansa, Edward J. A least-squares preconditioner for radial basis functions collocation methods. (English) Zbl 1067.65136 Adv. Comput. Math. 23, No. 1-2, 31-54 (2005). MSC: 65N35 65F35 35J25 65F10 65N12 PDFBibTeX XMLCite \textit{L. Ling} and \textit{E. J. Kansa}, Adv. Comput. Math. 23, No. 1--2, 31--54 (2005; Zbl 1067.65136) Full Text: DOI
Ling, Leevan Multivariate quasi-interpolation schemes for dimension-splitting multiquadric. (English) Zbl 1063.65012 Appl. Math. Comput. 161, No. 1, 195-209 (2005). MSC: 65D05 41A05 41A63 PDFBibTeX XMLCite \textit{L. Ling}, Appl. Math. Comput. 161, No. 1, 195--209 (2005; Zbl 1063.65012) Full Text: DOI
Kansa, E. J.; Power, H.; Fasshauer, G. E.; Ling, L. A volumetric integral radial basis function method for time-dependent partial differential equations. I. Formulation. (English) Zbl 1159.76363 Eng. Anal. Bound. Elem. 28, No. 10, 1191-1206 (2004). MSC: 76M25 76N15 PDFBibTeX XMLCite \textit{E. J. Kansa} et al., Eng. Anal. Bound. Elem. 28, No. 10, 1191--1206 (2004; Zbl 1159.76363) Full Text: DOI
Ling, Leevan; Kansa, E. J. Preconditioning for radial basis functions with domain decomposition methods. (English) Zbl 1077.41008 Math. Comput. Modelling 40, No. 13, 1413-1427 (2004). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A15 PDFBibTeX XMLCite \textit{L. Ling} and \textit{E. J. Kansa}, Math. Comput. Modelling 40, No. 13, 1413--1427 (2004; Zbl 1077.41008) Full Text: DOI
Ling, Leevan; Trümmer, M. R. Multiquadric collocation method with integralformulation for boundary layer problems. (English) Zbl 1066.65080 Comput. Math. Appl. 48, No. 5-6, 927-941 (2004). MSC: 65L60 65L10 34B05 34E15 PDFBibTeX XMLCite \textit{L. Ling} and \textit{M. R. Trümmer}, Comput. Math. Appl. 48, No. 5--6, 927--941 (2004; Zbl 1066.65080) Full Text: DOI
Ling, Leevan A univariate quasi-multiquadric interpolation with better smoothness. (English) Zbl 1079.41002 Comput. Math. Appl. 48, No. 5-6, 897-912 (2004). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A05 41A15 PDFBibTeX XMLCite \textit{L. Ling}, Comput. Math. Appl. 48, No. 5--6, 897--912 (2004; Zbl 1079.41002) Full Text: DOI