Ross, I. M.; Proulx, R. J.; Borges, C. F. A universal Birkhoff pseudospectral method for solving boundary value problems. (English) Zbl 07704188 Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023). MSC: 41A05 33C45 65L10 65N35 41A10 PDFBibTeX XMLCite \textit{I. M. Ross} et al., Appl. Math. Comput. 454, Article ID 128101, 17 p. (2023; Zbl 07704188) Full Text: DOI
Talib, Imran; Bohner, Martin Numerical study of generalized modified Caputo fractional differential equations. (English) Zbl 1524.65298 Int. J. Comput. Math. 100, No. 1, 153-176 (2023). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{I. Talib} and \textit{M. Bohner}, Int. J. Comput. Math. 100, No. 1, 153--176 (2023; Zbl 1524.65298) Full Text: DOI
Yüzbaşi, Şuayip; Yildirim, Gamze Pell-Lucas collocation method for solving a class of second order nonlinear differential equations with variable delays. (English) Zbl 07662832 Turk. J. Math. 47, No. 1, 37-55 (2023). MSC: 65-XX 33C47 34A34 65L05 65L60 65L70 65Q20 PDFBibTeX XMLCite \textit{Ş. Yüzbaşi} and \textit{G. Yildirim}, Turk. J. Math. 47, No. 1, 37--55 (2023; Zbl 07662832) Full Text: DOI
Glaubitz, Jan; Reeger, Jonah A. Towards stability results for global radial basis function based quadrature formulas. (English) Zbl 1508.65015 BIT 63, No. 1, Paper No. 6, 34 p. (2023). MSC: 65D30 65D12 65D32 PDFBibTeX XMLCite \textit{J. Glaubitz} and \textit{J. A. Reeger}, BIT 63, No. 1, Paper No. 6, 34 p. (2023; Zbl 1508.65015) Full Text: DOI arXiv
Hafez, R. M.; Youssri, Y. H. Shifted Gegenbauer-Gauss collocation method for solving fractional neutral functional-differential equations with proportional delays. (English) Zbl 07661735 Kragujevac J. Math. 46, No. 6, 981-996 (2022). MSC: 65-XX 34K40 33C45 34K37 65L03 PDFBibTeX XMLCite \textit{R. M. Hafez} and \textit{Y. H. Youssri}, Kragujevac J. Math. 46, No. 6, 981--996 (2022; Zbl 07661735) Full Text: DOI Link
Gautschi, Walter Another look at polynomials orthogonal relative to exponential integral weight functions. (English) Zbl 07621823 Numer. Algorithms 91, No. 4, 1547-1557 (2022). MSC: 65D30 33C47 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 91, No. 4, 1547--1557 (2022; Zbl 07621823) Full Text: DOI
Ali, Mushtaq; Almoaeet, Mohammed; Albuohimad, Basim Karim Numerical simulation method of lines together with a pseudospectral method for solving space-time partial differential equations with space left- and right-sided fractional derivative. (English) Zbl 1513.65333 Arab J. Math. Sci. 28, No. 2, 168-183 (2022). MSC: 65M20 65N35 65N22 35R11 26A33 33C45 65D32 65L05 PDFBibTeX XMLCite \textit{M. Ali} et al., Arab J. Math. Sci. 28, No. 2, 168--183 (2022; Zbl 1513.65333) Full Text: DOI
Bona, Jerry; Hong, Youngjoon Numerical study of the generalized Korteweg-de Vries equations with oscillating nonlinearities and boundary conditions. (English) Zbl 1507.35230 Water Waves 4, No. 1, 109-137 (2022). Reviewer: Piotr Biler (Wrocław) MSC: 35Q53 35B40 35B44 35B33 65M60 65M70 65M06 65N35 65N30 65D05 65D30 42C10 PDFBibTeX XMLCite \textit{J. Bona} and \textit{Y. Hong}, Water Waves 4, No. 1, 109--137 (2022; Zbl 1507.35230) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to weight functions of Prudnikov type. (English) Zbl 1490.33004 Numer. Algorithms 90, No. 1, 263-270 (2022). Reviewer: C. L. Parihar (Indore) MSC: 33C47 15B52 33-04 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 90, No. 1, 263--270 (2022; Zbl 1490.33004) Full Text: DOI
Bambe Moutsinga, Claude Rodrigue; Pindza, Edson; Maré, Eben Comparative performance of time spectral methods for solving hyperchaotic finance and cryptocurrency systems. (English) Zbl 1498.91491 Chaos Solitons Fractals 145, Article ID 110770, 10 p. (2021). MSC: 91G60 65M70 33C45 44A15 45K05 65M12 91G80 PDFBibTeX XMLCite \textit{C. R. Bambe Moutsinga} et al., Chaos Solitons Fractals 145, Article ID 110770, 10 p. (2021; Zbl 1498.91491) Full Text: DOI
Guseĭnov, Ibragim Guseĭnovich; Gadzhimirzaev, Ramis Makhmudovich Two-dimensional limit series in ultraspherical Jacobi polynomials and their approximative properties. (Russian. English summary) Zbl 1486.33013 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 21, No. 4, 422-433 (2021). MSC: 33C45 PDFBibTeX XMLCite \textit{I. G. Guseĭnov} and \textit{R. M. Gadzhimirzaev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 21, No. 4, 422--433 (2021; Zbl 1486.33013) Full Text: DOI MNR
Abd-Elhameed, W. M.; Alkenedri, Asmaa M. New formulas for the repeated integrals of some Jacobi polynomials: spectral solutions of even-order boundary value problems. (English) Zbl 1499.65313 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 166, 24 p. (2021). MSC: 65L10 42C10 65L60 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{A. M. Alkenedri}, Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 166, 24 p. (2021; Zbl 1499.65313) Full Text: DOI
Pawlak, Mariusz; Stachowiak, Marcin Analytical angular solutions for the atom-diatom interaction potential in a basis set of products of two spherical harmonics: two approaches. (English) Zbl 1483.81163 J. Math. Chem. 59, No. 10, 2193-2205 (2021). MSC: 81V45 33C55 42C10 PDFBibTeX XMLCite \textit{M. Pawlak} and \textit{M. Stachowiak}, J. Math. Chem. 59, No. 10, 2193--2205 (2021; Zbl 1483.81163) Full Text: DOI
Sommariva, A.; Vianello, M. Numerical hyperinterpolation over spherical triangles. (English) Zbl 07431500 Math. Comput. Simul. 190, 15-22 (2021). MSC: 65-XX 33-XX PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, Math. Comput. Simul. 190, 15--22 (2021; Zbl 07431500) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. (English) Zbl 1486.33015 Numer. Algorithms 88, No. 3, 1233-1249 (2021). MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 88, No. 3, 1233--1249 (2021; Zbl 1486.33015) Full Text: DOI
Tian, Yan Barycentric prolate interpolation and pseudospectral differentiation. (English) Zbl 1519.65059 Numer. Algorithms 88, No. 2, 793-811 (2021). Reviewer: Juan Carlos Mũnoz Grajales (Santiago de Cali) MSC: 65N35 41A10 41A25 42C05 65F08 65F10 65D25 35J05 PDFBibTeX XMLCite \textit{Y. Tian}, Numer. Algorithms 88, No. 2, 793--811 (2021; Zbl 1519.65059) Full Text: DOI
Liu, Zexin; Narayan, Akil On the computation of recurrence coefficients for univariate orthogonal polynomials. (English) Zbl 1481.65041 J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021). MSC: 65D20 33D45 42C05 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{A. Narayan}, J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021; Zbl 1481.65041) Full Text: DOI arXiv Link
Gutleb, Timon S. A fast sparse spectral method for nonlinear integro-differential Volterra equations with general kernels. (English) Zbl 1472.65096 Adv. Comput. Math. 47, No. 3, Paper No. 42, 26 p. (2021). MSC: 65L80 45D05 PDFBibTeX XMLCite \textit{T. S. Gutleb}, Adv. Comput. Math. 47, No. 3, Paper No. 42, 26 p. (2021; Zbl 1472.65096) Full Text: DOI arXiv
Youssef, Maha; Pulch, Roland Poly-Sinc solution of stochastic elliptic differential equations. (English) Zbl 1475.65207 J. Sci. Comput. 87, No. 3, Paper No. 82, 19 p. (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65N35 65N12 65N30 65C20 42C10 35R60 PDFBibTeX XMLCite \textit{M. Youssef} and \textit{R. Pulch}, J. Sci. Comput. 87, No. 3, Paper No. 82, 19 p. (2021; Zbl 1475.65207) Full Text: DOI arXiv
Barthelmé, Simon; Usevich, Konstantin Spectral properties of kernel matrices in the flat limit. (English) Zbl 1458.15012 SIAM J. Matrix Anal. Appl. 42, No. 1, 17-57 (2021). MSC: 15A15 15A18 47A55 47A75 47B34 60G15 65D05 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
Khosravian-Arab, Hassan; Eslahchi, M. R. Müntz pseudo-spectral method: theory and numerical experiments. (English) Zbl 1453.65358 Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105510, 29 p. (2021). MSC: 65M70 26A33 33C45 58C40 65M15 35R11 34A08 PDFBibTeX XMLCite \textit{H. Khosravian-Arab} and \textit{M. R. Eslahchi}, Commun. Nonlinear Sci. Numer. Simul. 93, Article ID 105510, 29 p. (2021; Zbl 1453.65358) Full Text: DOI arXiv
Lotfi, Mahmoud; Alipanah, Amjad Legendre spectral element method for solving Volterra-integro differential equations. (English) Zbl 1471.65159 Results Appl. Math. 7, Article ID 100116, 11 p. (2020). MSC: 65M70 65M15 60H15 35R09 45D05 42C10 PDFBibTeX XMLCite \textit{M. Lotfi} and \textit{A. Alipanah}, Results Appl. Math. 7, Article ID 100116, 11 p. (2020; Zbl 1471.65159) Full Text: DOI
Dimitrov, Dimitar K.; Peixoto, Lourenço L. An efficient algorithm for the classical least squares approximation. (English) Zbl 1452.65032 SIAM J. Sci. Comput. 42, No. 5, A3233-A3249 (2020). MSC: 65D10 65D30 65H04 PDFBibTeX XMLCite \textit{D. K. Dimitrov} and \textit{L. L. Peixoto}, SIAM J. Sci. Comput. 42, No. 5, A3233--A3249 (2020; Zbl 1452.65032) Full Text: DOI
Yüzbaşi, Şuayip; Yıldırım, Gamze Pell-Lucas collocation method to solve high-order linear Fredholm-Volterra integro-differential equations and residual correction. (English) Zbl 1450.65074 Turk. J. Math. 44, No. 4, 1065-1091 (2020). MSC: 65L60 65L70 42C05 45B05 45D05 45J05 PDFBibTeX XMLCite \textit{Ş. Yüzbaşi} and \textit{G. Yıldırım}, Turk. J. Math. 44, No. 4, 1065--1091 (2020; Zbl 1450.65074) Full Text: DOI
Dehghan, Mehdi; Shafieeabyaneh, Nasim; Abbaszadeh, Mostafa Application of spectral element method for solving Sobolev equations with error estimation. (English) Zbl 1452.65271 Appl. Numer. Math. 158, 439-462 (2020). MSC: 65M70 65M06 65M15 65M12 42C10 76M22 76M20 76S05 76N99 74F10 PDFBibTeX XMLCite \textit{M. Dehghan} et al., Appl. Numer. Math. 158, 439--462 (2020; Zbl 1452.65271) Full Text: DOI
Foupouagnigni, Mama An introduction to orthogonal polynomials. (English) Zbl 1443.33011 Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 3-24 (2020). MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{M. Foupouagnigni}, in: Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5--12, 2018. Cham: Birkhäuser. 3--24 (2020; Zbl 1443.33011) Full Text: DOI
Costabile, F. A.; Gualtieri, M. I.; Napoli, A. Matrix calculus-based approach to orthogonal polynomial sequences. (English) Zbl 1443.42015 Mediterr. J. Math. 17, No. 4, Paper No. 118, 22 p. (2020). MSC: 42C05 11B83 33C45 PDFBibTeX XMLCite \textit{F. A. Costabile} et al., Mediterr. J. Math. 17, No. 4, Paper No. 118, 22 p. (2020; Zbl 1443.42015) Full Text: DOI
Xiang, Shuhuang; Liu, Guidong Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities. (English) Zbl 1511.42024 Numer. Math. 145, No. 1, 117-148 (2020). Reviewer: Alexei Lukashov (Moskva) MSC: 42C05 41A10 41A25 41A50 65N35 65M70 PDFBibTeX XMLCite \textit{S. Xiang} and \textit{G. Liu}, Numer. Math. 145, No. 1, 117--148 (2020; Zbl 1511.42024) Full Text: DOI
Sharapudinov, I. I. Sobolev-orthogonal systems of functions and some of their applications. (English. Russian original) Zbl 1434.42039 Russ. Math. Surv. 74, No. 4, 659-733 (2019); translation from Usp. Mat. Nauk 74, No. 4, 87-164 (2019). MSC: 42C05 33C45 41A25 41A10 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Russ. Math. Surv. 74, No. 4, 659--733 (2019; Zbl 1434.42039); translation from Usp. Mat. Nauk 74, No. 4, 87--164 (2019) Full Text: DOI
Lotfi, Mahmoud; Alipanah, Amjad Using Legendre spectral element method with quasi-linearization method for solving Bratu’s problem. (English) Zbl 1449.65276 Comput. Methods Differ. Equ. 7, No. 4, Spec. Iss., 580-588 (2019). MSC: 65M70 65L60 42C10 PDFBibTeX XMLCite \textit{M. Lotfi} and \textit{A. Alipanah}, Comput. Methods Differ. Equ. 7, No. 4, 580--588 (2019; Zbl 1449.65276) Full Text: Link
Fatone, Lorella; Funaro, Daniele; Manzini, Gianmarco A semi-Lagrangian spectral method for the Vlasov-Poisson system based on Fourier, Legendre and Hermite polynomials. (English) Zbl 1449.65272 Commun. Appl. Math. Comput. 1, No. 3, 333-360 (2019). MSC: 65M70 33C45 82D10 65M06 35Q83 35Q60 42C10 PDFBibTeX XMLCite \textit{L. Fatone} et al., Commun. Appl. Math. Comput. 1, No. 3, 333--360 (2019; Zbl 1449.65272) Full Text: DOI arXiv
Mahdy, A. M. S.; Higazy, M. Numerical different methods for solving the nonlinear biochemical reaction model. (English) Zbl 1437.65084 Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 148, 17 p. (2019). MSC: 65L60 92C40 33C45 34A34 PDFBibTeX XMLCite \textit{A. M. S. Mahdy} and \textit{M. Higazy}, Int. J. Appl. Comput. Math. 5, No. 6, Paper No. 148, 17 p. (2019; Zbl 1437.65084) Full Text: DOI
Sweilam, N. H.; Abou Hasan, M. M. An improved method for nonlinear variable-order equation. (English) Zbl 1480.65294 Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3021-3046 (2019). MSC: 65M70 33C45 35R11 PDFBibTeX XMLCite \textit{N. H. Sweilam} and \textit{M. M. Abou Hasan}, Bull. Malays. Math. Sci. Soc. (2) 42, No. 6, 3021--3046 (2019; Zbl 1480.65294) Full Text: DOI
Nie, Zhihui; Ma, Chunsheng Isotropic positive definite functions on spheres generated from those in Euclidean spaces. (English) Zbl 1426.33031 Proc. Am. Math. Soc. 147, No. 7, 3047-3056 (2019). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 33C50 42A82 60E10 PDFBibTeX XMLCite \textit{Z. Nie} and \textit{C. Ma}, Proc. Am. Math. Soc. 147, No. 7, 3047--3056 (2019; Zbl 1426.33031) Full Text: DOI Link
Gautschi, Walter Correction to: “Sub-range Jacobi polynomials”. (English) Zbl 1454.65013 Numer. Algorithms 81, No. 2, 771 (2019). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 81, No. 2, 771 (2019; Zbl 1454.65013) Full Text: DOI
Sharapudinov, I. I. Sobolev-orthogonal systems of functions and the Cauchy problem for ODEs. (English. Russian original) Zbl 1412.42067 Izv. Math. 83, No. 2, 391-412 (2019); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 2, 204-226 (2019). MSC: 42C05 65L05 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Izv. Math. 83, No. 2, 391--412 (2019; Zbl 1412.42067); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 83, No. 2, 204--226 (2019) Full Text: DOI
Abd-Elhameed, W. M.; Youssri, Y. H. Sixth-kind Chebyshev spectral approach for solving fractional differential equations. (English) Zbl 07048618 Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 191-203 (2019). MSC: 65M70 34A08 33C45 11B83 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Int. J. Nonlinear Sci. Numer. Simul. 20, No. 2, 191--203 (2019; Zbl 07048618) Full Text: DOI
Gonçalves, Felipe A sharpened Strichartz inequality for radial functions. (English) Zbl 1409.42018 J. Funct. Anal. 276, No. 6, 1925-1947 (2019). Reviewer: Dong Dong (College Park) MSC: 42B37 41A44 33C45 PDFBibTeX XMLCite \textit{F. Gonçalves}, J. Funct. Anal. 276, No. 6, 1925--1947 (2019; Zbl 1409.42018) Full Text: DOI arXiv
Erfani, S.; Babolian, E.; Javadi, S.; Shamsi, M. Stable evaluations of fractional derivative of the Müntz-Legendre polynomials and application to fractional differential equations. (English) Zbl 1447.65013 J. Comput. Appl. Math. 348, 70-88 (2019). Reviewer: Neville Ford (Chester) MSC: 65L60 33C47 34A08 PDFBibTeX XMLCite \textit{S. Erfani} et al., J. Comput. Appl. Math. 348, 70--88 (2019; Zbl 1447.65013) Full Text: DOI
Milovanović, Gradimir V. An efficient computation of parameters in the Rys quadrature formula. (English) Zbl 1469.65068 Bull., Cl. Sci. Math. Nat., Sci. Math. 43, 39-64 (2018). MSC: 65D32 65D30 41A55 33C45 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Bull., Cl. Sci. Math. Nat., Sci. Math. 43, 39--64 (2018; Zbl 1469.65068) Full Text: Link
Sharapudinov, I. I. Sobolev orthogonal polynomials associated with Chebyshev polynomials of the first kind and the Cauchy problem for ordinary differential equations. (English. Russian original) Zbl 1421.34015 Differ. Equ. 54, No. 12, 1602-1619 (2018); translation from Differ. Uravn. 54, No. 12, 1645-1662 (2018). Reviewer: Faitori Omer Salem (Tripoli) MSC: 34A45 34A12 33C47 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Differ. Equ. 54, No. 12, 1602--1619 (2018; Zbl 1421.34015); translation from Differ. Uravn. 54, No. 12, 1645--1662 (2018) Full Text: DOI
Rybin, Vladimir Vasil’evich The description and analysis of non-stationary continuous control systems in the spectral range in non-orthogonal functions. Orthorecursive approach. (Russian. English summary) Zbl 1409.93031 Differ. Uravn. Protsessy Upr. 2018, No. 4, 18-40 (2018). MSC: 93C05 42C10 93C15 93C25 93B40 PDFBibTeX XMLCite \textit{V. V. Rybin}, Differ. Uravn. Protsessy Upr. 2018, No. 4, 18--40 (2018; Zbl 1409.93031) Full Text: Link
Han, Wei; Chen, Yi-Ming; Liu, Da-Yan; Li, Xiao-Lin; Boutat, Driss Numerical solution for a class of multi-order fractional differential equations with error correction and convergence analysis. (English) Zbl 1446.65056 Adv. Difference Equ. 2018, Paper No. 253, 22 p. (2018). MSC: 65L60 65L70 34A08 26A33 33C45 PDFBibTeX XMLCite \textit{W. Han} et al., Adv. Difference Equ. 2018, Paper No. 253, 22 p. (2018; Zbl 1446.65056) Full Text: DOI
Barrios Rolanía, Dolores; Delgado Martínez, Guillermo; Manrique, Daniel Multilayered neural architectures evolution for computing sequences of orthogonal polynomials. (English) Zbl 1442.68055 Ann. Math. Artif. Intell. 84, No. 3-4, 161-184 (2018). MSC: 68Q07 33C47 68Q42 68T05 68W50 PDFBibTeX XMLCite \textit{D. Barrios Rolanía} et al., Ann. Math. Artif. Intell. 84, No. 3--4, 161--184 (2018; Zbl 1442.68055) Full Text: DOI
Abd-Elhameed, W. M.; Youssri, Y. H. Fifth-kind orthonormal Chebyshev polynomial solutions for fractional differential equations. (English) Zbl 1404.65074 Comput. Appl. Math. 37, No. 3, 2897-2921 (2018). MSC: 65L60 34A08 33C45 41A50 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} and \textit{Y. H. Youssri}, Comput. Appl. Math. 37, No. 3, 2897--2921 (2018; Zbl 1404.65074) Full Text: DOI
Gautschi, Walter A software repository for orthogonal polynomials. (English) Zbl 1398.33001 Software - Environments - Tools 28. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-522-2/ebook). viii, 60 p. (2018). MSC: 33-04 33C45 33F05 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, A software repository for orthogonal polynomials. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2018; Zbl 1398.33001)
Zhang, Xuexin; Liu, Liangming Regression by linear combination of different orthogonal polynomial basis functions. (Chinese. English summary) Zbl 1413.62093 Math. Pract. Theory 48, No. 4, 256-263 (2018). MSC: 62J02 15B36 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{L. Liu}, Math. Pract. Theory 48, No. 4, 256--263 (2018; Zbl 1413.62093)
Sharapudinov, I. I.; Magomed-Kasumov, M. G. On representation of a solution to the Cauchy problem by a Fourier series in Sobolev-orthogonal polynomials generated by Laguerre polynomials. (English. Russian original) Zbl 1398.42015 Differ. Equ. 54, No. 1, 49-66 (2018); translation from Differ. Uravn. 54, No. 1, 51-68 (2018). Reviewer: Francisco Marcellán (Leganes) MSC: 42C05 PDFBibTeX XMLCite \textit{I. I. Sharapudinov} and \textit{M. G. Magomed-Kasumov}, Differ. Equ. 54, No. 1, 49--66 (2018; Zbl 1398.42015); translation from Differ. Uravn. 54, No. 1, 51--68 (2018) Full Text: DOI
Sharapudinov, Idris I. Sobolev-orthogonal systems of functions associated with an orthogonal system. (English. Russian original) Zbl 1395.42070 Izv. Math. 82, No. 1, 212-244 (2018); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 225-258 (2018). Reviewer: S. F. Lukomskii (Saratov) MSC: 42C10 41A58 33C47 PDFBibTeX XMLCite \textit{I. I. Sharapudinov}, Izv. Math. 82, No. 1, 212--244 (2018; Zbl 1395.42070); translation from Izv. Ross. Akad. Nauk, Ser. Mat. 82, No. 1, 225--258 (2018) Full Text: DOI
Masjed-Jamei, Mohammad; Milovanović, Gradimir V. Construction of Gaussian quadrature formulas for even weight functions. (English) Zbl 1499.65078 Appl. Anal. Discrete Math. 11, No. 1, 177-198 (2017). MSC: 65D30 41A55 65D32 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} and \textit{G. V. Milovanović}, Appl. Anal. Discrete Math. 11, No. 1, 177--198 (2017; Zbl 1499.65078) Full Text: DOI
Sommariva, Alvise; Vianello, Marco Numerical hyperinterpolation over nonstandard planar regions. (English) Zbl 07313867 Math. Comput. Simul. 141, 110-120 (2017). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, Math. Comput. Simul. 141, 110--120 (2017; Zbl 07313867) Full Text: DOI Link
Sharapudinov, Idris Idrisovich; Gadzhieva, Zul’fiya Dzhamaldinovna; Gadzhimirzaev, Ramis Makhmudovich Difference equations and Sobolev orthogonal polynomials, generated by Meixner polynomials. (Russian. English summary) Zbl 1450.39001 Vladikavkaz. Mat. Zh. 19, No. 2, 58-72 (2017). MSC: 39A12 33C45 PDFBibTeX XMLCite \textit{I. I. Sharapudinov} et al., Vladikavkaz. Mat. Zh. 19, No. 2, 58--72 (2017; Zbl 1450.39001) Full Text: MNR
Sharapudinov, I. I.; Sharapudinov, T. I. Polynomials orthogonal in the Sobolev sense, generated by Chebyshev polynomials orthogonal on a mesh. (English. Russian original) Zbl 1376.33015 Russ. Math. 61, No. 8, 59-70 (2017); translation from Izv. Vyssh. Uchebn. Zaved., Mat. No. 8, 67-79 (2017). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{I. I. Sharapudinov} and \textit{T. I. Sharapudinov}, Russ. Math. 61, No. 8, 59--70 (2017; Zbl 1376.33015); translation from Izv. Vyssh. Uchebn. Zaved., Mat. No. 8, 67--79 (2017) Full Text: DOI
Farnoosh, Rahman; Sobhani, Amirhossein; Beheshti, Mohammad Hossein Efficient and fast numerical method for pricing discrete double barrier option by projection method. (English) Zbl 1414.91410 Comput. Math. Appl. 73, No. 7, 1539-1545 (2017). MSC: 91G60 65M70 91G20 42C10 PDFBibTeX XMLCite \textit{R. Farnoosh} et al., Comput. Math. Appl. 73, No. 7, 1539--1545 (2017; Zbl 1414.91410) Full Text: DOI
Townsend, Alex Book review of: W. Gautschi, Orthogonal polynomials in MATLAB: exercises and solutions. (English) Zbl 1417.00065 SIAM Rev. 59, No. 2, 463-464 (2017). MSC: 00A17 33-01 33-04 33C45 65D20 65Y15 68W30 PDFBibTeX XMLCite \textit{A. Townsend}, SIAM Rev. 59, No. 2, 463--464 (2017; Zbl 1417.00065) Full Text: DOI
Gautschi, Walter Monotonicity properties of the zeros of Freud and sub-range Freud polynomials: analytic and empirical results. (English) Zbl 1375.33021 Math. Comput. 86, No. 304, 855-864 (2017). Reviewer: József Sándor (Cluj-Napoca) MSC: 33C47 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Math. Comput. 86, No. 304, 855--864 (2017; Zbl 1375.33021) Full Text: DOI
Vasil, Geoffrey M.; Burns, Keaton J.; Lecoanet, Daniel; Olver, Sheehan; Brown, Benjamin P.; Oishi, Jeffrey S. Tensor calculus in polar coordinates using Jacobi polynomials. (English) Zbl 1380.65392 J. Comput. Phys. 325, 53-73 (2016). MSC: 65N35 33C45 35B07 PDFBibTeX XMLCite \textit{G. M. Vasil} et al., J. Comput. Phys. 325, 53--73 (2016; Zbl 1380.65392) Full Text: DOI arXiv
Chand, Mehar; Agarwal, Praveen; Jain, Shilpi; Wang, Guotao; Nisar, K. S. Image formulas and graphical interpretation of fractional derivatives of \(R\)-function and \(G\)-function. (English) Zbl 1364.26009 Adv. Stud. Contemp. Math., Kyungshang 26, No. 4, 633-652 (2016). MSC: 26A33 33C45 33C60 33C70 PDFBibTeX XMLCite \textit{M. Chand} et al., Adv. Stud. Contemp. Math., Kyungshang 26, No. 4, 633--652 (2016; Zbl 1364.26009)
Sharapudinov, I. I.; Gadzhieva, Z. D. Sobolev orthogonal polynomials generated by Meixner polynomials. (Russian. English summary) Zbl 1355.42034 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 3, 310-321 (2016). MSC: 42C15 33C50 PDFBibTeX XMLCite \textit{I. I. Sharapudinov} and \textit{Z. D. Gadzhieva}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 16, No. 3, 310--321 (2016; Zbl 1355.42034) Full Text: DOI
Gautschi, Walter Orthogonal polynomials in MATLAB: exercises and solutions. (English) Zbl 1369.33001 Software - Environments - Tools 26. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-429-4/pbk; 978-1-61197-430-0/ebook). x, 335 p. (2016). MSC: 33-01 33-04 33C45 65D20 65Y15 68W30 PDFBibTeX XMLCite \textit{W. Gautschi}, Orthogonal polynomials in MATLAB: exercises and solutions. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2016; Zbl 1369.33001)
Saha Ray, Santanu Numerical analysis with algorithms and programming. (English) Zbl 1359.65002 Boca Raton, FL: CRC Press (ISBN 978-1-4987-4174-3/hbk; 978-1-4987-4182-8/ebook). xix, 685 p. (2016). Reviewer: Hang Lau (Montréal) MSC: 65-01 68N15 65Y15 65H05 65H10 65D05 65D07 65D25 65D32 65B15 65F05 65F10 65L06 65L10 65L12 65L60 65F15 65D10 65M06 35K20 35L20 65N06 35J05 65N30 PDFBibTeX XMLCite \textit{S. Saha Ray}, Numerical analysis with algorithms and programming. Boca Raton, FL: CRC Press (2016; Zbl 1359.65002)
Xu, Kuan The Chebyshev points of the first kind. (English) Zbl 1334.65055 Appl. Numer. Math. 102, 17-30 (2016). MSC: 65D20 33C45 41A50 PDFBibTeX XMLCite \textit{K. Xu}, Appl. Numer. Math. 102, 17--30 (2016; Zbl 1334.65055) Full Text: DOI Link
Abd-Elhameed, W. M.; Youssri, Y. H.; Doha, E. H. A novel operational matrix method based on shifted Legendre polynomials for solving second-order boundary value problems involving singular, singularly perturbed and Bratu-type equations. (English) Zbl 1407.65080 Math. Sci., Springer 9, No. 2, 93-102 (2015). MSC: 65L60 34B16 34E15 42C10 PDFBibTeX XMLCite \textit{W. M. Abd-Elhameed} et al., Math. Sci., Springer 9, No. 2, 93--102 (2015; Zbl 1407.65080) Full Text: DOI
Stavropoulou, Faidra; Müller, Johannes Parametrization of random vectors in polynomial chaos expansions via optimal transportation. (English) Zbl 1351.60089 SIAM J. Sci. Comput. 37, No. 6, A2535-A2557 (2015). MSC: 60H35 49Q20 62G05 65C50 33C45 PDFBibTeX XMLCite \textit{F. Stavropoulou} and \textit{J. Müller}, SIAM J. Sci. Comput. 37, No. 6, A2535--A2557 (2015; Zbl 1351.60089) Full Text: DOI
Gautschi, Walter Polynomials orthogonal with respect to exponential integrals. (English) Zbl 1329.33016 Numer. Algorithms 70, No. 1, 215-226 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 65D30 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 70, No. 1, 215--226 (2015; Zbl 1329.33016) Full Text: DOI
Thylwe, Karl-Erik; McCabe, Patrick On calculations of Legendre functions and associated Legendre functions of the first kind of complex degree. (English) Zbl 1319.33002 Commun. Theor. Phys. 64, No. 1, 9-12 (2015). MSC: 33C47 34L25 33C45 PDFBibTeX XMLCite \textit{K.-E. Thylwe} and \textit{P. McCabe}, Commun. Theor. Phys. 64, No. 1, 9--12 (2015; Zbl 1319.33002) 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 PDFBibTeX XMLCite \textit{S. Esmaeili} and \textit{G. Milovanović}, Fract. Calc. Appl. Anal. 17, No. 4, 1075--1099 (2014; Zbl 1314.65037) Full Text: DOI
Sharapudinov, I. I.; Akniev, G. G. Discrete transform with stick property based on \(\{\sin x\sin kx\}\) and second kind Chebyshev polynomials systems. (Russian. English summary) Zbl 1310.42005 Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 14, No. 4, Part 1, 413-422 (2014). MSC: 42B05 42C10 41A50 PDFBibTeX XMLCite \textit{I. I. Sharapudinov} and \textit{G. G. Akniev}, Izv. Sarat. Univ. (N.S.), Ser. Mat. Mekh. Inform. 14, No. 4, Part 1, 413--422 (2014; Zbl 1310.42005) Full Text: MNR
Atkinson, Kendall; Chien, David; Hansen, Olaf Evaluating polynomials over the unit disk and the unit ball. (English) Zbl 1304.65111 Numer. Algorithms 67, No. 4, 691-711 (2014). MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{K. Atkinson} et al., Numer. Algorithms 67, No. 4, 691--711 (2014; Zbl 1304.65111) Full Text: DOI arXiv
Batselier, Kim; Dreesen, Philippe; De Moor, Bart A fast recursive orthogonalization scheme for the Macaulay matrix. (English) Zbl 1293.65064 J. Comput. Appl. Math. 267, 20-32 (2014). MSC: 65F25 65F50 15A18 PDFBibTeX XMLCite \textit{K. Batselier} et al., J. Comput. Appl. Math. 267, 20--32 (2014; Zbl 1293.65064) Full Text: DOI
Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto; Gervasio, Paola Numerical mathematics. 4th ed. (Matematica numerica.) (Italian) Zbl 1293.65001 Unitext 77. La Matematica per il 3+2. Milan: Springer (ISBN 978-88-470-5643-5/pbk; 978-88-470-5644-2/ebook). xvii, 529 p. (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Matematica numerica (Italian). 4th ed. Milan: Springer (2014; Zbl 1293.65001) Full Text: DOI
Bojdi, Z. Kalateh; Ahmadi-Asl, S.; Aminataei, A. Operational matrices with respect to Hermite polynomials and their applications in solving linear differential equations with variable coefficients. (English) Zbl 1424.33021 J. Linear Topol. Algebra 2, No. 2, 91-103 (2013). MSC: 33C45 34B15 PDFBibTeX XMLCite \textit{Z. K. Bojdi} et al., J. Linear Topol. Algebra 2, No. 2, 91--103 (2013; Zbl 1424.33021) Full Text: Link
Almeida, Ricardo; Khosravian-Arab, Hassan; Shamsi, Mostafa A generalized fractional variational problem depending on indefinite integrals: Euler-Lagrange equation and numerical solution. (English) Zbl 1358.93098 J. Vib. Control 19, No. 14, 2177-2186 (2013). MSC: 93C23 26A33 70G75 33C45 PDFBibTeX XMLCite \textit{R. Almeida} et al., J. Vib. Control 19, No. 14, 2177--2186 (2013; Zbl 1358.93098) Full Text: DOI
Landreman, Matt; Ernst, Darin R. New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions. (English) Zbl 1349.82094 J. Comput. Phys. 243, 130-150 (2013). MSC: 82C80 65N35 65N75 82C31 82D10 PDFBibTeX XMLCite \textit{M. Landreman} and \textit{D. R. Ernst}, J. Comput. Phys. 243, 130--150 (2013; Zbl 1349.82094) Full Text: DOI arXiv
Defez, Emilio; Sastre, Jorge; Ibáñez, Javier; Ruiz, Pedro Computing matrix functions arising in engineering models with orthogonal matrix polynomials. (English) Zbl 1305.65137 Math. Comput. Modelling 57, No. 7-8, 1738-1743 (2013). MSC: 65F60 33C45 PDFBibTeX XMLCite \textit{E. Defez} et al., Math. Comput. Modelling 57, No. 7--8, 1738--1743 (2013; Zbl 1305.65137) Full Text: DOI
Molano Molano, Luis Alejandro On Laguerre-Sobolev type orthogonal polynomials: zeros and electrostatic interpretation. (English) Zbl 1291.42022 ANZIAM J. 55, No. 1, 39-54 (2013). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 PDFBibTeX XMLCite \textit{L. A. Molano Molano}, ANZIAM J. 55, No. 1, 39--54 (2013; Zbl 1291.42022) Full Text: DOI
Kuo, Frances Y.; Woźniakowski, Henryk Gauss-Hermite quadratures for functions from Hilbert spaces with Gaussian reproducing kernels. (English) Zbl 1247.65034 BIT 52, No. 2, 425-436 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 42C05 46E22 PDFBibTeX XMLCite \textit{F. Y. Kuo} and \textit{H. Woźniakowski}, BIT 52, No. 2, 425--436 (2012; Zbl 1247.65034) Full Text: DOI
Esmaeili, Shahrokh; Shamsi, M.; Luchko, Yury Numerical solution of fractional differential equations with a collocation method based on Müntz polynomials. (English) Zbl 1228.65132 Comput. Math. Appl. 62, No. 3, 918-929 (2011). MSC: 65L70 34A08 26A33 45J05 PDFBibTeX XMLCite \textit{S. Esmaeili} et al., Comput. Math. Appl. 62, No. 3, 918--929 (2011; Zbl 1228.65132) Full Text: DOI
Eslahchi, M. R.; Dehghan, Mehdi Application of Taylor series in obtaining the orthogonal operational matrix. (English) Zbl 1221.33016 Comput. Math. Appl. 61, No. 9, 2596-2604 (2011). MSC: 33C45 15A99 PDFBibTeX XMLCite \textit{M. R. Eslahchi} and \textit{M. Dehghan}, Comput. Math. Appl. 61, No. 9, 2596--2604 (2011; Zbl 1221.33016) Full Text: DOI
Fischer, Bernd Polynomial based iteration methods for symmetric linear systems. (English) Zbl 1223.65023 Classics in Applied Mathematics 68. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-611971-91-0/pbk; 978-1-611971-92-7/ebook). 283 p. (2011). MSC: 65F10 65-02 35J25 65N30 PDFBibTeX XMLCite \textit{B. Fischer}, Polynomial based iteration methods for symmetric linear systems. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (2011; Zbl 1223.65023) Full Text: DOI Link
Ryland, Brett N.; Munthe-Kaas, Hans Z. On multivariate Chebyshev polynomials and spectral approximations on triangles. (English) Zbl 1216.65035 Hesthaven, Jan S. (ed.) et al., Spectral and high order methods for partial differential equations. Selected papers from the 8th ICOSAHOM ’09 conference, Trondheim, Norway, June 22–26, 2009. Berlin: Springer (ISBN 978-3-642-15336-5/hbk; 978-3-642-15337-2/ebook). Lecture Notes in Computational Science and Engineering 76, 19-41 (2011). MSC: 65D20 33C52 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{B. N. Ryland} and \textit{H. Z. Munthe-Kaas}, Lect. Notes Comput. Sci. Eng. 76, 19--41 (2011; Zbl 1216.65035) Full Text: DOI
Gonnet, Pedro Increasing the reliability of adaptive quadrature using explicit interpolants. (English) Zbl 1364.65061 ACM Trans. Math. Softw. 37, No. 3, Article No. 26, 32 p. (2010). MSC: 65D32 65D05 65D30 PDFBibTeX XMLCite \textit{P. Gonnet}, ACM Trans. Math. Softw. 37, No. 3, Article No. 26, 32 p. (2010; Zbl 1364.65061) Full Text: DOI arXiv
Gautschi, Walter Gauss quadrature routines for two classes of logarithmic weight functions. (English) Zbl 1200.65019 Numer. Algorithms 55, No. 2-3, 265-277 (2010). MSC: 65D32 41A55 65D20 83C45 68W30 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 55, No. 2--3, 265--277 (2010; Zbl 1200.65019) Full Text: DOI
Liu, Kwong-Ip; Dick, Josef; Hickernell, Fred J. A multivariate fast discrete Walsh transform with an application to function interpolation. (English) Zbl 1200.42017 Math. Comput. 78, No. 267, 1573-1591 (2009). MSC: 42C10 41A15 PDFBibTeX XMLCite \textit{K.-I. Liu} et al., Math. Comput. 78, No. 267, 1573--1591 (2009; Zbl 1200.42017) Full Text: DOI arXiv
Gautschi, Walter Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. (English) Zbl 1178.65026 Numer. Algorithms 52, No. 3, 409-418 (2009). MSC: 65D20 33-04 33C47 65Y15 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 52, No. 3, 409--418 (2009; Zbl 1178.65026) Full Text: DOI
Hascelik, A. Ihsan On numerical computation of integrals with integrands of the form \(f(x)\sin(w/x^r)\) on [0,1]. (English) Zbl 1155.65023 J. Comput. Appl. Math. 223, No. 1, 399-408 (2009). MSC: 65D32 41A55 65K05 PDFBibTeX XMLCite \textit{A. I. Hascelik}, J. Comput. Appl. Math. 223, No. 1, 399--408 (2009; Zbl 1155.65023) Full Text: DOI
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato Nontensorial Clenshaw-Curtis cubature. (English) Zbl 1167.65350 Numer. Algorithms 49, No. 1-4, 409-427 (2008). MSC: 65D32 PDFBibTeX XMLCite \textit{A. Sommariva} et al., Numer. Algorithms 49, No. 1--4, 409--427 (2008; Zbl 1167.65350) Full Text: DOI
Coluccio, Loredana; Eisinberg, Alfredo; Fedele, Giuseppe Gauss-Lobatto to Bernstein polynomials transformation. (English) Zbl 1157.65013 J. Comput. Appl. Math. 222, No. 2, 690-700 (2008). Reviewer: Delfina Roux (Milano) MSC: 65D15 PDFBibTeX XMLCite \textit{L. Coluccio} et al., J. Comput. Appl. Math. 222, No. 2, 690--700 (2008; Zbl 1157.65013) Full Text: DOI
Berrut, Jean-Paul; Welscher, Annick Fourier and barycentric formulae for equidistant Hermite trigonometric interpolation. (English) Zbl 1215.41006 Appl. Comput. Harmon. Anal. 23, No. 3, 307-320 (2007). MSC: 41A20 33C45 65D05 PDFBibTeX XMLCite \textit{J.-P. Berrut} and \textit{A. Welscher}, Appl. Comput. Harmon. Anal. 23, No. 3, 307--320 (2007; Zbl 1215.41006) Full Text: DOI Link
Boyd, John P. Computing the zeros of a Fourier series or a Chebyshev series or general orthogonal polynomial series with parity symmetries. (English) Zbl 1132.65039 Comput. Math. Appl. 54, No. 3, 336-349 (2007). Reviewer: Iulian Coroian (Baia Mare) MSC: 65H05 33F05 33C45 42A10 42A16 42C15 65T40 PDFBibTeX XMLCite \textit{J. P. Boyd}, Comput. Math. Appl. 54, No. 3, 336--349 (2007; Zbl 1132.65039) Full Text: DOI
Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto Numerical methods. Algorithms, analysis and applications. Revised and extended ed. of ‘Méthodes numériques pour le calcul scientifique’ published by Springer Paris (2000). (Méthodes numériques. Algorithmes, analyse et applications.) (French) Zbl 1121.65002 Milano: Springer (ISBN 978-88-470-0495-5/pbk). xvi, 537 p. (2007). Reviewer: M. Sibony (Tours) MSC: 65-01 15-04 41-04 12-04 34-04 PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Méthodes numériques. Algorithmes, analyse et applications. Revised and extended ed. of `Méthodes numériques pour le calcul scientifique' published by Springer Paris (2000). Milano: Springer (2007; Zbl 1121.65002)
Chakraverty, S.; Singh, V. P.; Sharma, R. K. Regression-based weight generation algorithm in neural network for estimation of frequencies of vibrating plates. (English) Zbl 1123.74050 Comput. Methods Appl. Mech. Eng. 195, No. 33-36, 4194-4202 (2006). MSC: 74S30 74H45 74K20 74H15 92D99 PDFBibTeX XMLCite \textit{S. Chakraverty} et al., Comput. Methods Appl. Mech. Eng. 195, No. 33--36, 4194--4202 (2006; Zbl 1123.74050) Full Text: DOI
Gautschi, Walter Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). (English) Zbl 1101.41029 Marcellán, Francisco (ed.) et al., Orthogonal polynomials and special functions. Computation and applications. Lecture notes of the 5th European summer school, Madrid, Laganés, Spain, July 8–18, 2004. Berlin: Springer (ISBN 3-540-31062-2/pbk). Lecture Notes in Mathematics 1883, 1-77 (2006). Reviewer: Manfred Tasche (Rostock) MSC: 41A55 65T99 65D30 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, Lect. Notes Math. 1883, 1--77 (2006; Zbl 1101.41029)
Quarteroni, Alfio; Saleri, Fausto Scientific computing with MATLAB and Octave. 2nd revised and expanded ed. (English) Zbl 1108.65002 Texts in Computational Science and Engineering 2. Berlin: Springer (ISBN 3-540-32612-X/hbk). xvi, 318 p. (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65Hxx 65Dxx 65Fxx 65Lxx 65N06 65N30 15-04 12-04 34-04 68W30 65Y15 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{F. Saleri}, Scientific computing with MATLAB and Octave. 2nd revised and expanded ed. Berlin: Springer (2006; Zbl 1108.65002)
Absil, P.-A.; Edelman, A.; Koev, P. On the largest principal angle between random subspaces. (English) Zbl 1090.15017 Linear Algebra Appl. 414, No. 1, 288-294 (2006). Reviewer: Václav Burjan (Praha) MSC: 15B52 33C05 33C45 62H10 PDFBibTeX XMLCite \textit{P. A. Absil} et al., Linear Algebra Appl. 414, No. 1, 288--294 (2006; Zbl 1090.15017) Full Text: DOI
Bittencourt, M. L. Fully tensorial nodal and modal shape functions for triangles and tetrahedra. (English) Zbl 1089.65122 Int. J. Numer. Methods Eng. 63, No. 11, 1530-1558 (2005). MSC: 65N30 35J05 35-04 65N50 PDFBibTeX XMLCite \textit{M. L. Bittencourt}, Int. J. Numer. Methods Eng. 63, No. 11, 1530--1558 (2005; Zbl 1089.65122) Full Text: DOI
Gautschi, Walter Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. (English) Zbl 1076.65019 J. Comput. Appl. Math. 184, No. 2, 493-504 (2005). MSC: 65D20 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 184, No. 2, 493--504 (2005; Zbl 1076.65019) Full Text: DOI
Gautschi, Walter Orthogonal polynomials (in Matlab). (English) Zbl 1067.65023 J. Comput. Appl. Math. 178, No. 1-2, 215-234 (2005). MSC: 65D20 33C45 33F05 65Y15 68W30 PDFBibTeX XMLCite \textit{W. Gautschi}, J. Comput. Appl. Math. 178, No. 1--2, 215--234 (2005; Zbl 1067.65023) Full Text: DOI
Gautschi, Walter Orthogonal polynomials. Computation and approximation. (English) Zbl 1130.42300 Numerical Mathematics and Scientific Computation. Oxford: Oxford University Press (ISBN 0-19-850672-4/hbk). viii, 301 p. (2004). Reviewer: Leonid Golinskii (MR 2005e:42001) MSC: 42-02 33-02 42C05 33C45 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Orthogonal polynomials. Computation and approximation. Oxford: Oxford University Press (2004; Zbl 1130.42300)
Quarteroni, Alfio; Saleri, Fausto Scientific computing with MATLAB. (English) Zbl 1021.65001 Texts in Computational Science and Engineering. 2. Berlin: Springer. ix, 257 p. (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65-01 65Hxx 65Dxx 65Fxx 65Lxx 65N06 15-04 12-04 34-04 68W30 65Y15 PDFBibTeX XMLCite \textit{A. Quarteroni} and \textit{F. Saleri}, Scientific computing with MATLAB. Berlin: Springer (2003; Zbl 1021.65001)