Bremer, James; Pang, Qiyuan; Yang, Haizhao Fast algorithms for the multi-dimensional Jacobi polynomial transform. (English) Zbl 07328473 Appl. Comput. Harmon. Anal. 52, 231-250 (2021). MSC: 65 94 PDF BibTeX XML Cite \textit{J. Bremer} et al., Appl. Comput. Harmon. Anal. 52, 231--250 (2021; Zbl 07328473) Full Text: DOI
Shindin, Sergey; Parumasur, Nabendra; Aluko, Olabisi Analysis of Malmquist-Takenaka-Christov rational approximations with applications to the nonlinear Benjamin equation. (English) Zbl 1448.65132 Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105571, 27 p. (2021). MSC: 65M12 65M15 65M70 PDF BibTeX XML Cite \textit{S. Shindin} et al., Commun. Nonlinear Sci. Numer. Simul. 94, Article ID 105571, 27 p. (2021; Zbl 1448.65132) Full Text: DOI
Yazdani, Allahbakhsh; Kiasari, Morteza Mohammadnezhad A Chebyshev pseudo spectral method for solving fractional differential equations. (English) Zbl 1452.65377 Proyecciones 39, No. 3, 711-720 (2020). MSC: 65N35 65M70 34A08 65D25 PDF BibTeX XML Cite \textit{A. Yazdani} and \textit{M. M. Kiasari}, Proyecciones 39, No. 3, 711--720 (2020; Zbl 1452.65377) Full Text: DOI
Bourgey, Florian; Gobet, Emmanuel; Rey, Clément Metamodel of a large credit risk portfolio in the Gaussian copula model. (English) Zbl 1455.91272 SIAM J. Financ. Math. 11, No. 4, 1098-1136 (2020). Reviewer: Nikolay Kyurkchiev (Plovdiv) MSC: 91G60 65C05 91G40 91G10 41A10 PDF BibTeX XML Cite \textit{F. Bourgey} et al., SIAM J. Financ. Math. 11, No. 4, 1098--1136 (2020; Zbl 1455.91272) Full Text: DOI
Crépey, S.; Fort, G.; Gobet, E.; Stazhynski, U. Uncertainty quantification for stochastic approximation limits using chaos expansion. (English) Zbl 1448.62125 SIAM/ASA J. Uncertain. Quantif. 8, 1061-1089 (2020). MSC: 62L20 41A10 41A25 60B12 60F15 90C15 PDF BibTeX XML Cite \textit{S. Crépey} et al., SIAM/ASA J. Uncertain. Quantif. 8, 1061--1089 (2020; Zbl 1448.62125) Full Text: DOI
Pérez y Pérez, Rafael; Román, Iván Guerrero A computer agent that develops visual compositions based on the ER-model. (English) Zbl 1444.68215 Ann. Math. Artif. Intell. 88, No. 5-6, 549-588 (2020). MSC: 68T35 00A66 PDF BibTeX XML Cite \textit{R. Pérez y Pérez} and \textit{I. G. Román}, Ann. Math. Artif. Intell. 88, No. 5--6, 549--588 (2020; Zbl 1444.68215) Full Text: DOI
Gholampoor, I.; Kajani, M. Tavassoli A direct numerical method for approximate solution of inverse reaction diffusion equation via two-dimensional Legendre hybrid functions. (English) Zbl 1442.65228 Numer. Algorithms 83, No. 2, 511-528 (2020). MSC: 65M32 65M30 65M70 65H10 65F22 35K57 PDF BibTeX XML Cite \textit{I. Gholampoor} and \textit{M. T. Kajani}, Numer. Algorithms 83, No. 2, 511--528 (2020; Zbl 1442.65228) Full Text: DOI
Carrillo, José Antonio; Zanella, Mattia Monte Carlo gPC methods for diffusive kinetic flocking models with uncertainties. (English) Zbl 1434.35230 Vietnam J. Math. 47, No. 4, 931-954 (2019). MSC: 35Q83 65C05 65M70 82C31 82C26 35Q92 92D50 PDF BibTeX XML Cite \textit{J. A. Carrillo} and \textit{M. Zanella}, Vietnam J. Math. 47, No. 4, 931--954 (2019; Zbl 1434.35230) Full Text: DOI
Dehghan, Reza A numerical solution of variable order fractional functional differential equation based on the shifted Legendre polynomials. (English) Zbl 1425.34087 S\(\vec{\text{e}}\)MA J. 76, No. 2, 217-226 (2019). MSC: 34K37 42C10 34K10 34K07 PDF BibTeX XML Cite \textit{R. Dehghan}, S\(\vec{\text{e}}\)MA J. 76, No. 2, 217--226 (2019; Zbl 1425.34087) Full Text: DOI
Pindza, Edson; Youbi, Francis; Maré, Eben; Davison, Matt Barycentric spectral domain decomposition methods for valuing a class of infinite activity Lévy models. (English) Zbl 1418.91601 Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 625-643 (2019). MSC: 91G60 65M70 65R20 41A10 41A20 91G20 PDF BibTeX XML Cite \textit{E. Pindza} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 3, 625--643 (2019; Zbl 1418.91601) Full Text: DOI
Liu, Wenjie; Wang, Li-Lian; Li, Huiyuan Optimal error estimates for Chebyshev approximations of functions with limited regularity in fractional Sobolev-type spaces. (English) Zbl 1428.41020 Math. Comput. 88, No. 320, 2857-2895 (2019). Reviewer: Włodzimierz Łenski (Poznań) MSC: 41A25 41A10 41A50 65N35 65M60 PDF BibTeX XML Cite \textit{W. Liu} et al., Math. Comput. 88, No. 320, 2857--2895 (2019; Zbl 1428.41020) Full Text: DOI
Foroozandeh, Z.; Shamsi, M.; de Pinho, M. d. R. A mixed-binary non-linear programming approach for the numerical solution of a family of singular optimal control problems. (English) Zbl 1418.49033 Int. J. Control 92, No. 7, 1551-1566 (2019). MSC: 49M25 90C30 PDF BibTeX XML Cite \textit{Z. Foroozandeh} et al., Int. J. Control 92, No. 7, 1551--1566 (2019; Zbl 1418.49033) Full Text: DOI
Gyllenberg, Mats; Scarabel, Francesca; Vermiglio, Rossana Equations with infinite delay: numerical bifurcation analysis via pseudospectral discretization. (English) Zbl 1427.65098 Appl. Math. Comput. 333, 490-505 (2018). MSC: 65L03 37M20 37N25 92D25 PDF BibTeX XML Cite \textit{M. Gyllenberg} et al., Appl. Math. Comput. 333, 490--505 (2018; Zbl 1427.65098) Full Text: DOI
Bihun, Oksana; Mourning, Clark Generalized pseudospectral method and zeros of orthogonal polynomials. (English) Zbl 1440.65057 Adv. Math. Phys. 2018, Article ID 4710754, 10 p. (2018). MSC: 65H04 30C15 33C45 42C05 PDF BibTeX XML Cite \textit{O. Bihun} and \textit{C. Mourning}, Adv. Math. Phys. 2018, Article ID 4710754, 10 p. (2018; Zbl 1440.65057) Full Text: DOI arXiv
Matos, J. C.; Matos, J. M. A.; Rodrigues, M. J. Solving differential and integral equations with tau method. (English) Zbl 1402.65078 Math. Comput. Sci. 12, No. 2, 197-205 (2018). MSC: 65L60 65L10 65R20 45A05 PDF BibTeX XML Cite \textit{J. C. Matos} et al., Math. Comput. Sci. 12, No. 2, 197--205 (2018; Zbl 1402.65078) Full Text: DOI
Ordokhani, Y.; Rahimkhani, P. A numerical technique for solving fractional variational problems by Müntz-Legendre polynomials. (English) Zbl 1400.49034 J. Appl. Math. Comput. 58, No. 1-2, 75-94 (2018). MSC: 49M25 49J15 49M15 65L10 34A08 PDF BibTeX XML Cite \textit{Y. Ordokhani} and \textit{P. Rahimkhani}, J. Appl. Math. Comput. 58, No. 1--2, 75--94 (2018; Zbl 1400.49034) Full Text: DOI
Chai, Guo; Wang, Tian-jun Mixed generalized Hermite-Fourier spectral method for Fokker-Planck equation of periodic field. (English) Zbl 1397.65200 Appl. Numer. Math. 133, 25-40 (2018). MSC: 65M70 35Q84 82C31 33C45 PDF BibTeX XML Cite \textit{G. Chai} and \textit{T.-j. Wang}, Appl. Numer. Math. 133, 25--40 (2018; Zbl 1397.65200) Full Text: DOI
Parand, Kourosh; Kalantari, Zahra; Delkhosh, Mehdi Quasilinearization-Lagrangian method to solve the HIV infection model of CD4\(^+\)T cells. (English) Zbl 1395.92095 S\(\vec{\text{e}}\)MA J. 75, No. 2, 271-283 (2018). MSC: 92C60 41A10 41A05 37J99 PDF BibTeX XML Cite \textit{K. Parand} et al., S\(\vec{\text{e}}\)MA J. 75, No. 2, 271--283 (2018; Zbl 1395.92095) Full Text: DOI
Dehghan, Reza State parametrization method based on shifted Legendre polynomials for solving fractional optimal control problems. (English) Zbl 1381.49016 Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 37, 21 p. (2018). MSC: 49K15 90C31 90C26 42C05 65E05 PDF BibTeX XML Cite \textit{R. Dehghan}, Int. J. Appl. Comput. Math. 4, No. 1, Paper No. 37, 21 p. (2018; Zbl 1381.49016) Full Text: DOI
Benner, Peter; Denißen, Jonas; Kohaupt, Ludwig Trigonometric spline and spectral bounds for the solution of linear time-periodic systems. (English) Zbl 1385.65045 J. Appl. Math. Comput. 54, No. 1-2, 127-157 (2017). Reviewer: Maria Gousidou-Koutita (Thessaloniki) MSC: 65L05 65D07 93C05 65K10 65L60 34A30 65L70 PDF BibTeX XML Cite \textit{P. Benner} et al., J. Appl. Math. Comput. 54, No. 1--2, 127--157 (2017; Zbl 1385.65045) Full Text: DOI
Zhang, Chao; Gu, Dong-qin; Wang, Zhong-qing; Li, Hui-yuan Efficient space-time spectral methods for second-order problems on unbounded domains. (English) Zbl 1377.65139 J. Sci. Comput. 72, No. 2, 679-699 (2017). MSC: 65M70 35K20 65M60 65M12 PDF BibTeX XML Cite \textit{C. Zhang} et al., J. Sci. Comput. 72, No. 2, 679--699 (2017; Zbl 1377.65139) Full Text: DOI
Liu, Fu-jun; Li, Hui-yuan; Wang, Zhong-qing Spectral methods using generalized Laguerre functions for second and fourth order problems. (English) Zbl 1385.65048 Numer. Algorithms 75, No. 4, 1005-1040 (2017). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 33C45 65L60 65L70 34B05 65L20 65N35 35J25 PDF BibTeX XML Cite \textit{F.-j. Liu} et al., Numer. Algorithms 75, No. 4, 1005--1040 (2017; Zbl 1385.65048) Full Text: DOI
Manzini, G.; Funaro, D.; Delzanno, G. L. Convergence of spectral discretizations of the Vlasov-Poisson system. (English) Zbl 1375.65118 SIAM J. Numer. Anal. 55, No. 5, 2312-2335 (2017). MSC: 65M12 35Q83 65M70 65M15 PDF BibTeX XML Cite \textit{G. Manzini} et al., SIAM J. Numer. Anal. 55, No. 5, 2312--2335 (2017; Zbl 1375.65118) Full Text: DOI
Aboelenen, T.; Bakr, S. A.; El-Hawary, H. M. Fractional Laguerre spectral methods and their applications to fractional differential equations on unbounded domain. (English) Zbl 1375.65135 Int. J. Comput. Math. 94, No. 3, 570-596 (2017). Reviewer: Vit Dolejsi (Praha) MSC: 65M70 35R11 35K20 34B24 34A08 65L15 34L16 65N25 35P15 PDF BibTeX XML Cite \textit{T. Aboelenen} et al., Int. J. Comput. Math. 94, No. 3, 570--596 (2017; Zbl 1375.65135) Full Text: DOI
Khalil, Hammad; Khan, Rahmat Ali; Baleanu, Dumitru; Saker, Samir H. Approximate solution of linear and nonlinear fractional differential equations under \(m\)-point local and nonlocal boundary conditions. (English) Zbl 1419.34087 Adv. Difference Equ. 2016, Paper No. 177, 28 p. (2016). MSC: 34B10 34A08 PDF BibTeX XML Cite \textit{H. Khalil} et al., Adv. Difference Equ. 2016, Paper No. 177, 28 p. (2016; Zbl 1419.34087) Full Text: DOI
Qiang, Ji Efficient three-dimensional Poisson solvers in open rectangular conducting pipe. (English) Zbl 1380.65484 Comput. Phys. Commun. 203, 122-127 (2016). MSC: 65Z05 65N35 65N80 35J05 PDF BibTeX XML Cite \textit{J. Qiang}, Comput. Phys. Commun. 203, 122--127 (2016; Zbl 1380.65484) Full Text: DOI
Shamasundar, R.; Mulder, W. A. Improving the accuracy of mass-lumped finite-elements in the first-order formulation of the wave equation by defect correction. (English) Zbl 1352.65370 J. Comput. Phys. 322, 689-707 (2016). MSC: 65M60 PDF BibTeX XML Cite \textit{R. Shamasundar} and \textit{W. A. Mulder}, J. Comput. Phys. 322, 689--707 (2016; Zbl 1352.65370) Full Text: DOI
Sánchez, J.; Garcia, F.; Net, M. Radial collocation methods for the onset of convection in rotating spheres. (English) Zbl 1351.76205 J. Comput. Phys. 308, 273-288 (2016). MSC: 76M22 65M70 PDF BibTeX XML Cite \textit{J. Sánchez} et al., J. Comput. Phys. 308, 273--288 (2016; Zbl 1351.76205) Full Text: DOI
Borhanifar, A.; Khader, Mohamed M. Jacobi operational matrix and its application for solving systems of ODEs. (English) Zbl 1357.65104 Differ. Equ. Dyn. Syst. 24, No. 4, 459-473 (2016). Reviewer: Dana Černá (Liberec) MSC: 65L60 34A30 34A34 65D25 65L05 65L10 PDF BibTeX XML Cite \textit{A. Borhanifar} and \textit{M. M. Khader}, Differ. Equ. Dyn. Syst. 24, No. 4, 459--473 (2016; Zbl 1357.65104) Full Text: DOI
Gobet, E.; López-Salas, J. G.; Turkedjiev, P.; Vázquez, C. Stratified regression Monte-Carlo scheme for semilinear PDEs and BSDEs with large scale parallelization on GPUs. (English) Zbl 1352.65008 SIAM J. Sci. Comput. 38, No. 6, C652-C677 (2016). MSC: 65C05 65C30 49L20 93E24 68W10 60H35 60H10 PDF BibTeX XML Cite \textit{E. Gobet} et al., SIAM J. Sci. Comput. 38, No. 6, C652--C677 (2016; Zbl 1352.65008) Full Text: DOI
Du, Kui On well-conditioned spectral collocation and spectral methods by the integral reformulation. (English) Zbl 1351.65053 SIAM J. Sci. Comput. 38, No. 5, A3247-A3263 (2016). MSC: 65L10 65L60 34B15 PDF BibTeX XML Cite \textit{K. Du}, SIAM J. Sci. Comput. 38, No. 5, A3247--A3263 (2016; Zbl 1351.65053) Full Text: DOI arXiv
Wang, Tian-Jun Legendre spectral method for solving mixed boundary value problems on rectangle. (English) Zbl 1343.65142 Math. Methods Appl. Sci. 39, No. 13, 3824-3835 (2016). MSC: 65N35 41A10 35J25 PDF BibTeX XML Cite \textit{T.-J. Wang}, Math. Methods Appl. Sci. 39, No. 13, 3824--3835 (2016; Zbl 1343.65142) Full Text: DOI
Wang, Tian-jun A spectral method for fourth-order mixed inhomogeneous boundary value problem in three dimensions. (English) Zbl 1348.65146 J. Sci. Comput. 67, No. 3, 1247-1271 (2016). Reviewer: Dana Černá (Liberec) MSC: 65M70 65N35 35J40 35K35 65M15 65N15 65M12 65N12 PDF BibTeX XML Cite \textit{T.-j. Wang}, J. Sci. Comput. 67, No. 3, 1247--1271 (2016; Zbl 1348.65146) Full Text: DOI
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays. (English) Zbl 1416.65551 Appl. Numer. Math. 105, 1-24 (2016). MSC: 65R20 65L60 45J05 45D05 65L20 PDF BibTeX XML Cite \textit{C.-T. Sheng} et al., Appl. Numer. Math. 105, 1--24 (2016; Zbl 1416.65551) Full Text: DOI
Yu, Xu-hong; Guo, Ben-yu Spectral method for fourth-order problems on quadrilaterals. (English) Zbl 1338.65258 J. Sci. Comput. 66, No. 2, 477-503 (2016). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 35J35 35J40 65N15 65N12 PDF BibTeX XML Cite \textit{X.-h. Yu} and \textit{B.-y. Guo}, J. Sci. Comput. 66, No. 2, 477--503 (2016; Zbl 1338.65258) Full Text: DOI
Wang, Zhong-Qing; Sheng, Chang-Tao An \(hp\)-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays. (English) Zbl 1332.65119 Math. Comput. 85, No. 298, 635-666 (2016). MSC: 65L60 45D05 41A10 65L70 PDF BibTeX XML Cite \textit{Z.-Q. Wang} and \textit{C.-T. Sheng}, Math. Comput. 85, No. 298, 635--666 (2016; Zbl 1332.65119) Full Text: DOI
Galaktionov, V. A.; Álvarez-Caudevilla, Pablo Blow-up scaling and global behaviour of solutions of the bi-Laplace equation via pencil operators. (English) Zbl 1332.31002 Commun. Pure Appl. Anal. 15, No. 1, 261-286 (2016). MSC: 31A30 31A25 PDF BibTeX XML Cite \textit{V. A. Galaktionov} and \textit{P. Álvarez-Caudevilla}, Commun. Pure Appl. Anal. 15, No. 1, 261--286 (2016; Zbl 1332.31002) Full Text: DOI
Matinfar, M.; Riahifar, A. Numerical solution of Fredholm integral-differential equations on unbounded domain. (English) Zbl 1412.65243 J. Linear Topol. Algebra 4, No. 1, 43-52 (2015). MSC: 65R20 45J05 PDF BibTeX XML Cite \textit{M. Matinfar} and \textit{A. Riahifar}, J. Linear Topol. Algebra 4, No. 1, 43--52 (2015; Zbl 1412.65243) Full Text: Link
Dong, Bo-Qing (ed.); Zhao, Caidi (ed.); Qin, Xiaohong (ed.); Zhang, Linghai (ed.); Li, Liangpan (ed.) Nonlinear partial differential equations in mathematics and physics. (English) Zbl 1351.00024 Abstr. Appl. Anal. 2015, Article ID 593126, 2 p. (2015). MSC: 00B15 35-06 35Qxx PDF BibTeX XML Cite \textit{B.-Q. Dong} (ed.) et al., Abstr. Appl. Anal. 2015, Article ID 593126, 2 p. (2015; Zbl 1351.00024) Full Text: DOI
Pimenov, V. G.; Hendy, A. S. Numerical studies for fractional functional differential equations with delay based on BDF-type shifted Chebyshev approximations. (English) Zbl 1352.65173 Abstr. Appl. Anal. 2015, Article ID 510875, 12 p. (2015). MSC: 65L03 34A08 34K37 PDF BibTeX XML Cite \textit{V. G. Pimenov} and \textit{A. S. Hendy}, Abstr. Appl. Anal. 2015, Article ID 510875, 12 p. (2015; Zbl 1352.65173) Full Text: DOI
Sun, Y.; Shu, C.; Teo, C. J.; Wang, Y.; Yang, L. M. Explicit formulations of gas-kinetic flux solver for simulation of incompressible and compressible viscous flows. (English) Zbl 1349.76392 J. Comput. Phys. 300, 492-519 (2015). MSC: 76M12 65M08 76P05 PDF BibTeX XML Cite \textit{Y. Sun} et al., J. Comput. Phys. 300, 492--519 (2015; Zbl 1349.76392) Full Text: DOI
Ahmadian, A.; Salahshour, S.; Baleanu, D.; Amirkhani, H.; Yunus, R. Tau method for the numerical solution of a fuzzy fractional kinetic model and its application to the oil palm frond as a promising source of xylose. (English) Zbl 1349.65207 J. Comput. Phys. 294, 562-584 (2015). MSC: 65L05 34A07 34A08 PDF BibTeX XML Cite \textit{A. Ahmadian} et al., J. Comput. Phys. 294, 562--584 (2015; Zbl 1349.65207) Full Text: DOI
Bhrawy, Ali H.; Taha, Taha M.; Tenreiro Machado, José A. A review of operational matrices and spectral techniques for fractional calculus. (English) Zbl 1348.65106 Nonlinear Dyn. 81, No. 3, 1023-1052 (2015). MSC: 65L05 65L15 34A08 34L16 33C45 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Nonlinear Dyn. 81, No. 3, 1023--1052 (2015; Zbl 1348.65106) Full Text: DOI
Alıcı, H.; Taşeli, H. Unification of Stieltjes-Calogero type relations for the zeros of classical orthogonal polynomials. (English) Zbl 1331.30008 Math. Methods Appl. Sci. 38, No. 14, 3118-3129 (2015). MSC: 30C15 33C45 65L60 65L15 PDF BibTeX XML Cite \textit{H. Alıcı} and \textit{H. Taşeli}, Math. Methods Appl. Sci. 38, No. 14, 3118--3129 (2015; Zbl 1331.30008) Full Text: DOI
Manousopoulos, Polychronis; Michalopoulos, Michalis Term structure of interest rates estimation using rational Chebyshev functions. (English) Zbl 1398.91628 Decis. Econ. Finance 38, No. 2, 119-146 (2015). MSC: 91G30 41A50 62P05 PDF BibTeX XML Cite \textit{P. Manousopoulos} and \textit{M. Michalopoulos}, Decis. Econ. Finance 38, No. 2, 119--146 (2015; Zbl 1398.91628) Full Text: DOI
Nobili, Andrea; Tarantino, Angelo Pseudo-spectral methods in one-dimensional magnetostriction. (English) Zbl 1329.74184 Meccanica 50, No. 1, 99-108 (2015). MSC: 74K35 74S25 65L60 74F15 PDF BibTeX XML Cite \textit{A. Nobili} and \textit{A. Tarantino}, Meccanica 50, No. 1, 99--108 (2015; Zbl 1329.74184) Full Text: DOI
Altundağ, H.; Böckmann, C.; Taşeli, H. Inverse Sturm-Liouville problems with pseudospectral methods. (English) Zbl 1325.34020 Int. J. Comput. Math. 92, No. 7, 1373-1384 (2015). MSC: 34A55 34B24 34A45 PDF BibTeX XML Cite \textit{H. Altundağ} et al., Int. J. Comput. Math. 92, No. 7, 1373--1384 (2015; Zbl 1325.34020) Full Text: DOI
Fatone, L.; Funaro, D. Optimal collocation nodes for fractional derivative operators. (English) Zbl 1328.65252 SIAM J. Sci. Comput. 37, No. 3, A1504-A1524 (2015). MSC: 65N35 26A33 65R10 PDF BibTeX XML Cite \textit{L. Fatone} and \textit{D. Funaro}, SIAM J. Sci. Comput. 37, No. 3, A1504--A1524 (2015; Zbl 1328.65252) Full Text: DOI
Wang, Tian-Jun Generalized Laguerre spectral method for Fisher’s equation on a semi-infinite interval. (English) Zbl 1314.65135 Int. J. Comput. Math. 92, No. 5, 1039-1052 (2015). MSC: 65M70 35K55 35R15 PDF BibTeX XML Cite \textit{T.-J. Wang}, Int. J. Comput. Math. 92, No. 5, 1039--1052 (2015; Zbl 1314.65135) Full Text: DOI
Esmaeili, Shahrokh; Garrappa, Roberto A pseudo-spectral scheme for the approximate solution of a time-fractional diffusion equation. (English) Zbl 1314.65130 Int. J. Comput. Math. 92, No. 5, 980-994 (2015). MSC: 65M70 35K05 35R11 65M20 33E12 PDF BibTeX XML Cite \textit{S. Esmaeili} and \textit{R. Garrappa}, Int. J. Comput. Math. 92, No. 5, 980--994 (2015; Zbl 1314.65130) Full Text: DOI
Alıcı, H.; Taşeli, H. The Laguerre pseudospectral method for the radial Schrödinger equation. (English) Zbl 1302.65171 Appl. Numer. Math. 87, 87-99 (2015). MSC: 65L15 34L16 34L40 65L60 PDF BibTeX XML Cite \textit{H. Alıcı} and \textit{H. Taşeli}, Appl. Numer. Math. 87, 87--99 (2015; Zbl 1302.65171) Full Text: DOI
Tatari, Mehdi; Haghighi, Mahboobeh A generalized Laguerre-Legendre spectral collocation method for solving initial-boundary value problems. (English) Zbl 1427.65304 Appl. Math. Modelling 38, No. 4, 1351-1364 (2014). MSC: 65M70 PDF BibTeX XML Cite \textit{M. Tatari} and \textit{M. Haghighi}, Appl. Math. Modelling 38, No. 4, 1351--1364 (2014; Zbl 1427.65304) Full Text: DOI
Najafi, Mehdi; Hejranfar, Kazem; Esfahanian, Vahid Application of a shock-fitted spectral collocation method for computing transient high-speed inviscid flows over a blunt nose. (English) Zbl 1349.65521 J. Comput. Phys. 257, Part A, 954-980 (2014). MSC: 65M70 PDF BibTeX XML Cite \textit{M. Najafi} et al., J. Comput. Phys. 257, Part A, 954--980 (2014; Zbl 1349.65521) Full Text: DOI
Shindin, Sergey; Parumasur, Nabendra Numerical simulation of a transport fragmentation coagulation model. (English) Zbl 1339.65194 Appl. Math. Comput. 246, 192-198 (2014). MSC: 65M70 45K05 PDF BibTeX XML Cite \textit{S. Shindin} and \textit{N. Parumasur}, Appl. Math. Comput. 246, 192--198 (2014; Zbl 1339.65194) Full Text: DOI
Banasiak, J.; Parumasur, N.; Poka, W. D.; Shindin, S. Pseudospectral Laguerre approximation of transport-fragmentation equations. (English) Zbl 1334.65164 Appl. Math. Comput. 239, 107-125 (2014). MSC: 65M70 35R09 PDF BibTeX XML Cite \textit{J. Banasiak} et al., Appl. Math. Comput. 239, 107--125 (2014; Zbl 1334.65164) Full Text: DOI
Bhrawy, Ali; Alhamed, Yahia; Baleanu, Dumitru; Al-Zahrani, Abdulrahim New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions. (English) Zbl 1312.65166 Fract. Calc. Appl. Anal. 17, No. 4, 1137-1157 (2014). MSC: 65M70 34A08 33C47 PDF BibTeX XML Cite \textit{A. Bhrawy} et al., Fract. Calc. Appl. Anal. 17, No. 4, 1137--1157 (2014; Zbl 1312.65166) Full Text: DOI
Esmaeili, Shahrokh; Milovanović, Gradimir Nonstandard Gauss-Lobatto quadrature approximation to fractional derivatives. (English) Zbl 1314.65037 Fract. Calc. Appl. Anal. 17, No. 4, 1075-1099 (2014). MSC: 65D30 33C45 41A55 65D32 26A33 PDF BibTeX XML Cite \textit{S. Esmaeili} and \textit{G. Milovanović}, Fract. Calc. Appl. Anal. 17, No. 4, 1075--1099 (2014; Zbl 1314.65037) Full Text: DOI
Bojdi, Z. Kalateh; Ahmadi-Asl, S.; Aminataei, A. The general shifted Jacobi matrix method for solving generalized pantograph equations. (English) Zbl 1311.34032 Comput. Appl. Math. 33, No. 3, 781-794 (2014). MSC: 34A45 34B15 33C45 34A30 PDF BibTeX XML Cite \textit{Z. K. Bojdi} et al., Comput. Appl. Math. 33, No. 3, 781--794 (2014; Zbl 1311.34032) Full Text: DOI
Yu, Xu-Hong; Guo, Ben-Yu Spectral element method for mixed inhomogeneous boundary value problems of fourth order. (English) Zbl 1305.65236 J. Sci. Comput. 61, No. 3, 673-701 (2014). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 PDF BibTeX XML Cite \textit{X.-H. Yu} and \textit{B.-Y. Guo}, J. Sci. Comput. 61, No. 3, 673--701 (2014; Zbl 1305.65236) Full Text: DOI
Yi, Lijun; Wang, Zhongqing Legendre-Gauss-type spectral collocation algorithms for nonlinear ordinary/partial differential equations. (English) Zbl 1306.65238 Int. J. Comput. Math. 91, No. 7, 1434-1460 (2014). MSC: 65L60 65M70 35K55 65L05 34A34 PDF BibTeX XML Cite \textit{L. Yi} and \textit{Z. Wang}, Int. J. Comput. Math. 91, No. 7, 1434--1460 (2014; Zbl 1306.65238) Full Text: DOI
Guo, Ben-Yu; Yu, Xu-Hong Composite spectral method for exterior problems with polygonal obstacles. (English) Zbl 1304.65255 J. Sci. Comput. 59, No. 2, 439-472 (2014). MSC: 65N35 35J25 65N55 65N12 PDF BibTeX XML Cite \textit{B.-Y. Guo} and \textit{X.-H. Yu}, J. Sci. Comput. 59, No. 2, 439--472 (2014; Zbl 1304.65255) Full Text: DOI
Khader, M. M.; Sweilam, N. H.; Kota, W. Y. Cardinal functions for Legendre pseudo-spectral method for solving the integro-differential equations. (English) Zbl 1302.65281 J. Egypt. Math. Soc. 22, No. 3, 511-516 (2014). MSC: 65R20 45J05 PDF BibTeX XML Cite \textit{M. M. Khader} et al., J. Egypt. Math. Soc. 22, No. 3, 511--516 (2014; Zbl 1302.65281) Full Text: DOI
Chen, Zheng; Shu, Chi-Wang Recovering exponential accuracy from collocation point values of smooth functions with end-point singularities. (English) Zbl 1311.65013 J. Comput. Appl. Math. 265, 83-95 (2014). Reviewer: Antonio López-Carmona (Granada) MSC: 65D15 PDF BibTeX XML Cite \textit{Z. Chen} and \textit{C.-W. Shu}, J. Comput. Appl. Math. 265, 83--95 (2014; Zbl 1311.65013) Full Text: DOI
Guo, Benyu Some progress in spectral methods. (English) Zbl 1304.65227 Sci. China, Math. 56, No. 12, 2411-2438 (2013). MSC: 65M70 65N35 35J25 35J35 35K20 35M13 PDF BibTeX XML Cite \textit{B. Guo}, Sci. China, Math. 56, No. 12, 2411--2438 (2013; Zbl 1304.65227) Full Text: DOI
Bojdi, Z. Kalateh; Ahmadi-Asl, S.; Aminataei, A. A new extended Padé approximation and its application. (English) Zbl 1294.41008 Adv. Numer. Anal. 2013, Article ID 263467, 8 p. (2013). MSC: 41A21 PDF BibTeX XML Cite \textit{Z. K. Bojdi} et al., Adv. Numer. Anal. 2013, Article ID 263467, 8 p. (2013; Zbl 1294.41008) Full Text: DOI
Baleanu, D.; Bhrawy, A. H.; Taha, T. M. Two efficient generalized Laguerre spectral algorithms for fractional initial value problems. (English) Zbl 1291.65240 Abstr. Appl. Anal. 2013, Article ID 546502, 10 p. (2013). MSC: 65L60 34A08 34A45 PDF BibTeX XML Cite \textit{D. Baleanu} et al., Abstr. Appl. Anal. 2013, Article ID 546502, 10 p. (2013; Zbl 1291.65240) Full Text: DOI
Xiang, Xin-Min; Wang, Zhong-Qing Generalized Hermite approximations and spectral method for partial differential equations in multiple dimensions. (English) Zbl 1282.65161 J. Sci. Comput. 57, No. 2, 229-253 (2013). MSC: 65N35 76M22 33C45 65M12 35J25 35L05 PDF BibTeX XML Cite \textit{X.-M. Xiang} and \textit{Z.-Q. Wang}, J. Sci. Comput. 57, No. 2, 229--253 (2013; Zbl 1282.65161) Full Text: DOI
Domínguez, V.; Ganesh, M. Interpolation and cubature approximations and analysis for a class of wideband integrals on the sphere. (English) Zbl 1288.65193 Adv. Comput. Math. 39, No. 3-4, 547-584 (2013). Reviewer: Vladimir N. Karpushkin (Moskva) MSC: 65T40 42A15 PDF BibTeX XML Cite \textit{V. Domínguez} and \textit{M. Ganesh}, Adv. Comput. Math. 39, No. 3--4, 547--584 (2013; Zbl 1288.65193) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Bhrawy, A. H. New spectral-Galerkin algorithms for direct solution of high even-order differential equations using symmetric generalized Jacobi polynomials. (English) Zbl 1281.65108 Collect. Math. 64, No. 3, 373-394 (2013). Reviewer: Fernando Casas (Castellon) MSC: 65L60 65L10 34B05 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Collect. Math. 64, No. 3, 373--394 (2013; Zbl 1281.65108) Full Text: DOI
Gheorghiu, Calin-Ioan Laguerre collocation solutions to boundary layer type problems. (English) Zbl 1277.65057 Numer. Algorithms 64, No. 2, 385-401 (2013). MSC: 65L10 65L15 34B15 65L60 34L16 PDF BibTeX XML Cite \textit{C.-I. Gheorghiu}, Numer. Algorithms 64, No. 2, 385--401 (2013; Zbl 1277.65057) Full Text: DOI
Xie, Ziqing; Wang, Li-Lian; Zhao, Xiaodan On exponential convergence of Gegenbauer interpolation and spectral differentiation. (English) Zbl 1262.30023 Math. Comput. 82, No. 282, 1017-1036 (2013). MSC: 30E05 PDF BibTeX XML Cite \textit{Z. Xie} et al., Math. Comput. 82, No. 282, 1017--1036 (2013; Zbl 1262.30023) Full Text: DOI arXiv
Guo, Ben-Yu; Sunl, Tao; Zhang, Chao Jacobi and Laguerre quasi-orthogonal approximations and related interpolations. (English) Zbl 1264.41008 Math. Comput. 82, No. 281, 413-441 (2013). MSC: 41A10 65L60 PDF BibTeX XML Cite \textit{B.-Y. Guo} et al., Math. Comput. 82, No. 281, 413--441 (2013; Zbl 1264.41008) Full Text: DOI
Sarbach, Olivier; Tiglio, Manuel Continuum and discrete initial-boundary value problems and Einstein’s field equations. (English) Zbl 1320.83012 Living Rev. Relativ. 15, Article No. 2012-9, 194 p. (2012). MSC: 83-02 83C05 83C27 35L15 83C57 83C35 83-08 PDF BibTeX XML Cite \textit{O. Sarbach} and \textit{M. Tiglio}, Living Rev. Relativ. 15, Article No. 2012--9, 194 p. (2012; Zbl 1320.83012) Full Text: DOI arXiv
Bhrawy, Ali H.; Al-Shomrani, Mohammed M. A shifted Legendre spectral method for fractional-order multi-point boundary value problems. (English) Zbl 1280.65074 Adv. Difference Equ. 2012, Paper No. 8, 19 p. (2012). MSC: 65L10 34A08 34B10 65L60 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{M. M. Al-Shomrani}, Adv. Difference Equ. 2012, Paper No. 8, 19 p. (2012; Zbl 1280.65074) Full Text: DOI
Zhang, Chao; Guo, Ben-Yu Domain decomposition spectral method for mixed inhomogeneous boundary value problems of high order differential equations on unbounded domains. (English) Zbl 1273.65183 J. Sci. Comput. 53, No. 2, 451-480 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65N55 35J30 PDF BibTeX XML Cite \textit{C. Zhang} and \textit{B.-Y. Guo}, J. Sci. Comput. 53, No. 2, 451--480 (2012; Zbl 1273.65183) Full Text: DOI
Bhrawy, A. H.; Alofi, A. S.; El-Soubhy, S. I. An extension of the Legendre-Galerkin method for solving sixth-order differential equations with variable polynomial coefficients. (English) Zbl 1264.65121 Math. Probl. Eng. 2012, Article ID 896575, 13 p. (2012). MSC: 65L60 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Math. Probl. Eng. 2012, Article ID 896575, 13 p. (2012; Zbl 1264.65121) Full Text: DOI
Wang, Zhong-qing; Guo, Ben-yu Legendre-Gauss-Radau collocation method for solving initial value problems of first order ordinary differential equations. (English) Zbl 1255.65133 J. Sci. Comput. 52, No. 1, 226-255 (2012). MSC: 65L05 PDF BibTeX XML Cite \textit{Z.-q. Wang} and \textit{B.-y. Guo}, J. Sci. Comput. 52, No. 1, 226--255 (2012; Zbl 1255.65133) Full Text: DOI
Yi, Yong-gang; Guo, Ben-yu Generalized Jacobi rational spectral method on the half line. (English) Zbl 1259.65156 Adv. Comput. Math. 37, No. 1, 1-37 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35K65 41A20 65M12 PDF BibTeX XML Cite \textit{Y.-g. Yi} and \textit{B.-y. Guo}, Adv. Comput. Math. 37, No. 1, 1--37 (2012; Zbl 1259.65156) Full Text: DOI
Eslahchi, M. R.; Dehghan, Mehdi; Ahmadi Asl, S. The general Jacobi matrix method for solving some nonlinear ordinary differential equations. (English) Zbl 1252.65121 Appl. Math. Modelling 36, No. 8, 3387-3398 (2012). MSC: 65L06 PDF BibTeX XML Cite \textit{M. R. Eslahchi} et al., Appl. Math. Modelling 36, No. 8, 3387--3398 (2012; Zbl 1252.65121) Full Text: DOI
Linß, Torsten; Radojev, Goran; Zarin, Helena Approximation of singularly perturbed reaction-diffusion problems by quadratic \(C ^1\)-splines. (English) Zbl 1267.65092 Numer. Algorithms 61, No. 1, 35-55 (2012). Reviewer: Thomas Sonar (Braunschweig) MSC: 65L11 65L10 65L70 65L50 34B15 34E15 PDF BibTeX XML Cite \textit{T. Linß} et al., Numer. Algorithms 61, No. 1, 35--55 (2012; Zbl 1267.65092) Full Text: DOI
Kong, Wai Yip; Rokhlin, Vladimir A new class of highly accurate differentiation schemes based on the prolate spheroidal wave functions. (English) Zbl 1247.65029 Appl. Comput. Harmon. Anal. 33, No. 2, 226-260 (2012). MSC: 65D25 65D20 33E10 35L05 65M70 65L15 PDF BibTeX XML Cite \textit{W. Y. Kong} and \textit{V. Rokhlin}, Appl. Comput. Harmon. Anal. 33, No. 2, 226--260 (2012; Zbl 1247.65029) Full Text: DOI
Doha, Eid H.; Abd-Elhameed, Waleed M. Efficient solutions of multidimensional sixth-order boundary value problems using symmetric generalized Jacobi-Galerkin method. (English) Zbl 1246.65121 Abstr. Appl. Anal. 2012, Article ID 749370, 19 p. (2012). MSC: 65L10 34B05 65L60 PDF BibTeX XML Cite \textit{E. H. Doha} and \textit{W. M. Abd-Elhameed}, Abstr. Appl. Anal. 2012, Article ID 749370, 19 p. (2012; Zbl 1246.65121) Full Text: DOI
Yu, Xu-Hong; Wang, Zhong-Qing Jacobi spectral method with essential imposition of Neumann boundary condition. (English) Zbl 1246.65223 Appl. Numer. Math. 62, No. 8, 956-974 (2012). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65N35 65N15 35J25 65N12 PDF BibTeX XML Cite \textit{X.-H. Yu} and \textit{Z.-Q. Wang}, Appl. Numer. Math. 62, No. 8, 956--974 (2012; Zbl 1246.65223) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Youssri, Y. H. Efficient spectral-Petrov-Galerkin methods for the integrated forms of third- and fifth-order elliptic differential equations using general parameters generalized Jacobi polynomials. (English) Zbl 1242.65148 Appl. Math. Comput. 218, No. 15, 7727-7740 (2012). MSC: 65L60 34B05 65L10 PDF BibTeX XML Cite \textit{E. H. Doha} et al., Appl. Math. Comput. 218, No. 15, 7727--7740 (2012; Zbl 1242.65148) Full Text: DOI
Maleknejad, K.; Khademi, A.; Lotfi, T. Convergence and condition number of multi-projection operators by Legendre wavelets. (English) Zbl 1236.65159 Comput. Math. Appl. 62, No. 9, 3538-3550 (2011). MSC: 65R20 65T60 45B05 PDF BibTeX XML Cite \textit{K. Maleknejad} et al., Comput. Math. Appl. 62, No. 9, 3538--3550 (2011; Zbl 1236.65159) Full Text: DOI
Bhrawy, A. H.; Alofi, A. S.; Ezz-Eldien, S. S. A quadrature tau method for fractional differential equations with variable coefficients. (English) Zbl 1269.65068 Appl. Math. Lett. 24, No. 12, 2146-2152 (2011). MSC: 65L05 34A08 34A30 PDF BibTeX XML Cite \textit{A. H. Bhrawy} et al., Appl. Math. Lett. 24, No. 12, 2146--2152 (2011; Zbl 1269.65068) Full Text: DOI
Guo, Ben-Yu; Jia, Hong-Li Pseudospectral method for quadrilaterals. (English) Zbl 1232.65155 J. Comput. Appl. Math. 236, No. 5, 962-979 (2011). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 65N15 35J05 PDF BibTeX XML Cite \textit{B.-Y. Guo} and \textit{H.-L. Jia}, J. Comput. Appl. Math. 236, No. 5, 962--979 (2011; Zbl 1232.65155) Full Text: DOI
Esmaeili, Shahrokh; Shamsi, M. A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations. (English) Zbl 1226.65062 Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3646-3654 (2011). Reviewer: M. Gousidou-Koutita (Thessaloniki) MSC: 65L05 34A08 34A34 65L60 PDF BibTeX XML Cite \textit{S. Esmaeili} and \textit{M. Shamsi}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3646--3654 (2011; Zbl 1226.65062) Full Text: DOI
Jia, Hongli; Guo, Benyu Petrov-Galerkin spectral element method for mixed inhomogeneous boundary value problems on polygons. (English) Zbl 1218.65136 Chin. Ann. Math., Ser. B 31, No. 6, 855-878 (2010). Reviewer: Dinh Nho Hào (Leeds) MSC: 65N35 35J25 65N50 PDF BibTeX XML Cite \textit{H. Jia} and \textit{B. Guo}, Chin. Ann. Math., Ser. B 31, No. 6, 855--878 (2010; Zbl 1218.65136) Full Text: DOI
Guo, Ben-Yu; Wang, Tian-Jun Composite Laguerre-Legendre spectral method for fourth-order exterior problems. (English) Zbl 1203.65265 J. Sci. Comput. 44, No. 3, 255-285 (2010). MSC: 65N35 PDF BibTeX XML Cite \textit{B.-Y. Guo} and \textit{T.-J. Wang}, J. Sci. Comput. 44, No. 3, 255--285 (2010; Zbl 1203.65265) Full Text: DOI
Guo, Ben-Yu; Yi, Yong-Gang Generalized Jacobi rational spectral method and its applications. (English) Zbl 1203.33013 J. Sci. Comput. 43, No. 2, 201-238 (2010). MSC: 33C90 35Q53 41A20 65M70 PDF BibTeX XML Cite \textit{B.-Y. Guo} and \textit{Y.-G. Yi}, J. Sci. Comput. 43, No. 2, 201--238 (2010; Zbl 1203.33013) Full Text: DOI
Zhuang, Qingqu; Shen, Jie; Xu, Chuanju A coupled Legendre-Laguerre spectral-element method for the Navier-Stokes equations in unbounded domains. (English) Zbl 1203.76090 J. Sci. Comput. 42, No. 1, 1-22 (2010). MSC: 76M10 65N30 76D05 PDF BibTeX XML Cite \textit{Q. Zhuang} et al., J. Sci. Comput. 42, No. 1, 1--22 (2010; Zbl 1203.76090) Full Text: DOI
Shen, Ting-Ting; Zhang, Zhong-Qiang; Ma, He-Ping Optimal error estimates of the Legendre tau method for second-order differential equations. (English) Zbl 1203.65118 J. Sci. Comput. 42, No. 2, 198-215 (2010). MSC: 65L60 65L70 65M15 65M70 PDF BibTeX XML Cite \textit{T.-T. Shen} et al., J. Sci. Comput. 42, No. 2, 198--215 (2010; Zbl 1203.65118) Full Text: DOI
Bhrawy, A. H.; El-Soubhy, S. I. Jacobi spectral Galerkin method for the integrated forms of second-order differential equations. (English) Zbl 1204.65132 Appl. Math. Comput. 217, No. 6, 2684-2697 (2010). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N30 65N35 35J25 35J05 PDF BibTeX XML Cite \textit{A. H. Bhrawy} and \textit{S. I. El-Soubhy}, Appl. Math. Comput. 217, No. 6, 2684--2697 (2010; Zbl 1204.65132) Full Text: DOI
Guo, Ben-Yu; Jia, Hong-Li Spectral method on quadrilaterals. (English) Zbl 1207.65141 Math. Comput. 79, No. 272, 2237-2264 (2010). Reviewer: Kai Schneider (Marseille) MSC: 65N35 35J05 65M70 35K05 65M15 65N15 65N50 65M50 PDF BibTeX XML Cite \textit{B.-Y. Guo} and \textit{H.-L. Jia}, Math. Comput. 79, No. 272, 2237--2264 (2010; Zbl 1207.65141) Full Text: DOI
Wang, Zhong-Qing; Zhang, Rong; Guo, Ben-Yu Spherical harmonic-generalized Laguerre pseudospectral method for three-dimensional exterior problems. (English) Zbl 1197.65190 Int. J. Comput. Math. 87, No. 9, 2123-2142 (2010). MSC: 65N35 35J25 PDF BibTeX XML Cite \textit{Z.-Q. Wang} et al., Int. J. Comput. Math. 87, No. 9, 2123--2142 (2010; Zbl 1197.65190) Full Text: DOI
Li, Huiyuan; Shen, Jie Optimal error estimates in Jacobi-weighted Sobolev spaces for polynomial approximations on the triangle. (English) Zbl 1197.65176 Math. Comput. 79, No. 271, 1621-1646 (2010). Reviewer: Constantin Popa (Constanţa) MSC: 65N15 65N35 35J05 PDF BibTeX XML Cite \textit{H. Li} and \textit{J. Shen}, Math. Comput. 79, No. 271, 1621--1646 (2010; Zbl 1197.65176) Full Text: DOI
Alıcı, H.; Taşeli, H. Pseudospectral methods for solving an equation of hypergeometric type with a perturbation. (English) Zbl 1189.65150 J. Comput. Appl. Math. 234, No. 4, 1140-1152 (2010). MSC: 65L15 65L60 34L16 34L40 81Q05 33C45 PDF BibTeX XML Cite \textit{H. Alıcı} and \textit{H. Taşeli}, J. Comput. Appl. Math. 234, No. 4, 1140--1152 (2010; Zbl 1189.65150) Full Text: DOI
Guo, Ben-yu; Wang, Tian-jun Composite Laguerre-Legendre spectral method for exterior problems. (English) Zbl 1189.65238 Adv. Comput. Math. 32, No. 4, 393-429 (2010). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65M70 35K20 65M55 35K05 35J25 65N35 PDF BibTeX XML Cite \textit{B.-y. Guo} and \textit{T.-j. Wang}, Adv. Comput. Math. 32, No. 4, 393--429 (2010; Zbl 1189.65238) Full Text: DOI
Shen, Jie; Wang, Li-Lian On spectral approximations in elliptical geometries using Mathieu functions. (English) Zbl 1198.65236 Math. Comput. 78, No. 266, 815-844 (2009). MSC: 65N35 65N22 65F05 35J05 PDF BibTeX XML Cite \textit{J. Shen} and \textit{L.-L. Wang}, Math. Comput. 78, No. 266, 815--844 (2009; Zbl 1198.65236) Full Text: DOI