Hasegawa, Takemitsu; Sugiura, Hiroshi Uniform approximation to Cauchy principal value integrals with logarithmic singularity. (English) Zbl 1372.65080 J. Comput. Appl. Math. 327, 1-11 (2018). MSC: 65D32 41A55 65T50 65Q30 PDFBibTeX XMLCite \textit{T. Hasegawa} and \textit{H. Sugiura}, J. Comput. Appl. Math. 327, 1--11 (2018; Zbl 1372.65080) Full Text: DOI
Gautschi, Walter Polynomials orthogonal with respect to cardinal B-spline weight functions. (English) Zbl 1380.65050 Numer. Algorithms 76, No. 4, 1099-1107 (2017). MSC: 65D20 65G30 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 76, No. 4, 1099--1107 (2017; Zbl 1380.65050) Full Text: DOI
Berriochoa Esnaola, E.; Cachafeiro López, A.; Cala Rodríguez, F.; Illán González, J.; Rebollido Lorenzo, J. M. Gauss rules associated with nearly singular weights. (English) Zbl 1310.65024 Appl. Numer. Math. 91, 1-10 (2015). MSC: 65D32 41A55 65T50 PDFBibTeX XMLCite \textit{E. Berriochoa Esnaola} et al., Appl. Numer. Math. 91, 1--10 (2015; Zbl 1310.65024) Full Text: DOI Link
Andreev, Roman; Schweitzer, Julia Conditional space-time stability of collocation Runge-Kutta for parabolic evolution equations. (English) Zbl 1297.65104 ETNA, Electron. Trans. Numer. Anal. 41, 62-80 (2014). MSC: 65M12 65M20 65M60 35K90 65L06 65L60 PDFBibTeX XMLCite \textit{R. Andreev} and \textit{J. Schweitzer}, ETNA, Electron. Trans. Numer. Anal. 41, 62--80 (2014; Zbl 1297.65104) Full Text: EMIS
Dykes, L.; Marcellán, F.; Reichel, L. The structure of iterative methods for symmetric linear discrete ill-posed problems. (English) Zbl 1290.65034 BIT 54, No. 1, 129-145 (2014). MSC: 65F22 65F10 PDFBibTeX XMLCite \textit{L. Dykes} et al., BIT 54, No. 1, 129--145 (2014; Zbl 1290.65034) Full Text: DOI Link
Asheim, Andreas; Deaño, Alfredo; Huybrechs, Daan; Wang, Haiyong A Gaussian quadrature rule for oscillatory integrals on a bounded interval. (English) Zbl 1278.65023 Discrete Contin. Dyn. Syst. 34, No. 3, 883-901 (2014). MSC: 65D32 41A55 65T40 42A16 PDFBibTeX XMLCite \textit{A. Asheim} et al., Discrete Contin. Dyn. Syst. 34, No. 3, 883--901 (2014; Zbl 1278.65023) Full Text: DOI arXiv
Mantica, Giorgio Direct and inverse computation of Jacobi matrices of infinite iterated function systems. (English) Zbl 1282.65050 Numer. Math. 125, No. 4, 705-731 (2013). MSC: 65F30 47B36 42C05 65D32 65J22 PDFBibTeX XMLCite \textit{G. Mantica}, Numer. Math. 125, No. 4, 705--731 (2013; Zbl 1282.65050) Full Text: DOI arXiv
Gautschi, Walter Repeated modifications of orthogonal polynomials by linear divisors. (English) Zbl 1269.65024 Numer. Algorithms 63, No. 2, 369-383 (2013). MSC: 65D20 65D32 33C47 33F05 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 63, No. 2, 369--383 (2013; Zbl 1269.65024) Full Text: DOI
Martin, David R.; Reichel, Lothar Minimization of functionals on the solution of a large-scale discrete ill-posed problem. (English) Zbl 1262.65053 BIT 53, No. 1, 153-173 (2013). MSC: 65F22 65K05 90C05 90C06 PDFBibTeX XMLCite \textit{D. R. Martin} and \textit{L. Reichel}, BIT 53, No. 1, 153--173 (2013; Zbl 1262.65053) Full Text: DOI
Gautschi, Walter Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. (English) Zbl 1257.65012 Numer. Algorithms 61, No. 2, 275-290 (2012); erratum ibid. 64, No. 4, 759 (2013). MSC: 65D32 41A55 41A63 76G25 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 61, No. 2, 275--290 (2012; Zbl 1257.65012) Full Text: DOI
Gautschi, Walter Sub-range Jacobi polynomials. (English) Zbl 1257.65011 Numer. Algorithms 61, No. 4, 649-657 (2012); erratum ibid. 74, No. 2, 637 (2017); correction ibid. 81, No. 2, 771 (2019). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 61, No. 4, 649--657 (2012; Zbl 1257.65011) Full Text: DOI
Beck, Joakim; Tempone, Raul; Nobile, Fabio; Tamellini, Lorenzo On the optimal polynomial approximation of stochastic PDEs by Galerkin and collocation methods. (English) Zbl 1262.65009 Math. Models Methods Appl. Sci. 22, No. 9, 1250023, 33 p. (2012). Reviewer: Kevin Burrage (Brisbane) MSC: 65C30 65N12 65N35 60H15 60H35 35R60 65N30 PDFBibTeX XMLCite \textit{J. Beck} et al., Math. Models Methods Appl. Sci. 22, No. 9, 1250023, 33 p. (2012; Zbl 1262.65009) Full Text: DOI
Hesse, Kerstin; Womersley, Robert S. Numerical integration with polynomial exactness over a spherical cap. (English) Zbl 1256.65024 Adv. Comput. Math. 36, No. 3, 451-483 (2012). Reviewer: Josef Kofroň (Praha) MSC: 65D32 33C55 41A55 33C50 42C10 43A90 58C35 41A63 PDFBibTeX XMLCite \textit{K. Hesse} and \textit{R. S. Womersley}, Adv. Comput. Math. 36, No. 3, 451--483 (2012; Zbl 1256.65024) Full Text: DOI
Rapetti, Francesca; Sommariva, Alvise; Vianello, Marco On the generation of symmetric Lebesgue-like points in the triangle. (English) Zbl 1252.65193 J. Comput. Appl. Math. 236, No. 18, 4925-4932 (2012). MSC: 65N30 35J25 PDFBibTeX XMLCite \textit{F. Rapetti} et al., J. Comput. Appl. Math. 236, No. 18, 4925--4932 (2012; Zbl 1252.65193) Full Text: DOI
Narayan, Akil; Hesthaven, Jan S. Computation of connection coefficients and measure modifications for orthogonal polynomials. (English) Zbl 1247.65026 BIT 52, No. 2, 457-483 (2012). MSC: 65D20 33C45 33F05 65T50 PDFBibTeX XMLCite \textit{A. Narayan} and \textit{J. S. Hesthaven}, BIT 52, No. 2, 457--483 (2012; Zbl 1247.65026) Full Text: DOI Link
Slevinsky, Richard M.; Safouhi, Hassan A comparative study of numerical steepest descent, extrapolation, and sequence transformation methods in computing semi-infinite integrals. (English) Zbl 1245.65030 Numer. Algorithms 60, No. 2, 315-337 (2012). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{R. M. Slevinsky} and \textit{H. Safouhi}, Numer. Algorithms 60, No. 2, 315--337 (2012; Zbl 1245.65030) 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 PDFBibTeX XMLCite \textit{S. Esmaeili} and \textit{M. Shamsi}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 9, 3646--3654 (2011; Zbl 1226.65062) Full Text: DOI
Gautschi, Walter Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. (English) Zbl 1214.65021 BIT 51, No. 1, 103-125 (2011). MSC: 65F35 65F08 15A12 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 51, No. 1, 103--125 (2011; Zbl 1214.65021) Full Text: DOI
Amiraslani, A. The equivalence of the constrained Rayleigh quotient and Newton methods for matrix polynomials expressed in different polynomial bases along with the confluent case. (English) Zbl 1213.65061 Int. J. Comput. Math. 88, No. 6, 1158-1180 (2011). MSC: 65F15 15A22 PDFBibTeX XMLCite \textit{A. Amiraslani}, Int. J. Comput. Math. 88, No. 6, 1158--1180 (2011; Zbl 1213.65061) Full Text: DOI
Gautschi, Walter Experimental mathematics involving orthogonal polynomials. (English) Zbl 1215.65041 Gautschi, Walter (ed.) et al., Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Dordrecht: Springer (ISBN 978-1-4419-6593-6/hbk; 978-1-4419-6594-3/ebook). Springer Optimization and Its Applications 42, 117-134 (2011). MSC: 65D20 65R10 65D32 33C45 33F05 41A55 44A15 PDFBibTeX XMLCite \textit{W. Gautschi}, Springer Optim. Appl. 42, 117--134 (2011; Zbl 1215.65041) Full Text: DOI
Jagels, Carl; Reichel, Lothar Recursion relations for the extended Krylov subspace method. (English) Zbl 1211.65039 Linear Algebra Appl. 434, No. 7, 1716-1732 (2011). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65F10 65F30 PDFBibTeX XMLCite \textit{C. Jagels} and \textit{L. Reichel}, Linear Algebra Appl. 434, No. 7, 1716--1732 (2011; Zbl 1211.65039) Full Text: DOI
Odibat, Zaid On Legendre polynomial approximation with the VIM or HAM for numerical treatment of nonlinear fractional differential equations. (English) Zbl 1210.65132 J. Comput. Appl. Math. 235, No. 9, 2956-2968 (2011). MSC: 65L05 34A34 34A08 PDFBibTeX XMLCite \textit{Z. Odibat}, J. Comput. Appl. Math. 235, No. 9, 2956--2968 (2011; Zbl 1210.65132) Full Text: DOI
Bokhari, M. A.; Qadir, Asghar; Al-Attas, H. On Gauss-type quadrature rules. (English) Zbl 1207.65028 Numer. Funct. Anal. Optim. 31, No. 10, 1120-1134 (2010). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 42C05 PDFBibTeX XMLCite \textit{M. A. Bokhari} et al., Numer. Funct. Anal. Optim. 31, No. 10, 1120--1134 (2010; Zbl 1207.65028) Full Text: DOI
Kang, Hongchao; Xiang, Shuhuang On the calculation of highly oscillatory integrals with an algebraic singularity. (English) Zbl 1209.65030 Appl. Math. Comput. 217, No. 8, 3890-3897 (2010). Reviewer: Manuel Gräf (Chemnitz) MSC: 65D32 41A55 65T40 42A16 PDFBibTeX XMLCite \textit{H. Kang} and \textit{S. Xiang}, Appl. Math. Comput. 217, No. 8, 3890--3897 (2010; Zbl 1209.65030) Full Text: DOI
Huybrechs, Daan Stable high-order quadrature rules with equidistant points. (English) Zbl 1170.65016 J. Comput. Appl. Math. 231, No. 2, 933-947 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A55 42C05 65F20 PDFBibTeX XMLCite \textit{D. Huybrechs}, J. Comput. Appl. Math. 231, No. 2, 933--947 (2009; Zbl 1170.65016) Full Text: DOI
Sommariva, Alvise; Vianello, Marco Gauss-Green cubature and moment computation over arbitrary geometries. (English) Zbl 1170.65017 J. Comput. Appl. Math. 231, No. 2, 886-896 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 65D07 41A55 41A63 PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, J. Comput. Appl. Math. 231, No. 2, 886--896 (2009; Zbl 1170.65017) Full Text: DOI
Calabrò, F.; Esposito, A. Corbo An evaluation of Clenshaw-Curtis quadrature rule for integration w.r.t. singular measures. (English) Zbl 1166.65010 J. Comput. Appl. Math. 229, No. 1, 120-128 (2009). MSC: 65D32 41A55 28A25 PDFBibTeX XMLCite \textit{F. Calabrò} and \textit{A. C. Esposito}, J. Comput. Appl. Math. 229, No. 1, 120--128 (2009; Zbl 1166.65010) Full Text: DOI
Kozlov, Roman Exponential splitting time integration for pseudospectral methods on moving meshes. (English) Zbl 1165.65061 J. Comput. Appl. Math. 228, No. 1, 56-69 (2009). MSC: 65M70 35K15 65M50 PDFBibTeX XMLCite \textit{R. Kozlov}, J. Comput. Appl. Math. 228, No. 1, 56--69 (2009; Zbl 1165.65061) Full Text: DOI
De Marchi, Stefano; Vianello, Marco; Xu, Yuan New cubature formulae and hyperinterpolation in three variables. (English) Zbl 1180.65031 BIT 49, No. 1, 55-73 (2009). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 65D05 41A55 41A63 PDFBibTeX XMLCite \textit{S. De Marchi} et al., BIT 49, No. 1, 55--73 (2009; Zbl 1180.65031) Full Text: DOI arXiv
Deaño, Alfredo; Huybrechs, Daan Complex Gaussian quadrature of oscillatory integrals. (English) Zbl 1162.65011 Numer. Math. 112, No. 2, 197-219 (2009). MSC: 65D32 30E20 65E05 PDFBibTeX XMLCite \textit{A. Deaño} and \textit{D. Huybrechs}, Numer. Math. 112, No. 2, 197--219 (2009; Zbl 1162.65011) Full Text: DOI Link
Thalhammer, Mechthild; Caliari, Marco; Neuhauser, Christof High-order time-splitting Hermite and Fourier spectral methods. (English) Zbl 1158.65340 J. Comput. Phys. 228, No. 3, 822-832 (2009). MSC: 65M70 65M12 35Q55 PDFBibTeX XMLCite \textit{M. Thalhammer} et al., J. Comput. Phys. 228, No. 3, 822--832 (2009; Zbl 1158.65340) Full Text: DOI
Hascelik, A. Ihsan Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity. (English) Zbl 1158.65019 Appl. Numer. Math. 59, No. 1, 101-118 (2009). Reviewer: Denis Sidorov (Irkutsk) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. I. Hascelik}, Appl. Numer. Math. 59, No. 1, 101--118 (2009; Zbl 1158.65019) 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
Spalević, Miodrag M. A note on generalized averaged Gaussian formulas. (English) Zbl 1131.65029 Numer. Algorithms 46, No. 3, 253-264 (2007). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{M. M. Spalević}, Numer. Algorithms 46, No. 3, 253--264 (2007; Zbl 1131.65029) Full Text: DOI
Laurie, Dirk Calculation of Radau-Kronrod and Lobatto-Kronrod quadrature formulas. (English) Zbl 1127.65018 Numer. Algorithms 45, No. 1-4, 139-152 (2007). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. Laurie}, Numer. Algorithms 45, No. 1--4, 139--152 (2007; Zbl 1127.65018) Full Text: DOI
Berriochoa, E.; Cachafeiro, A.; Marcellán, F. A new numerical quadrature formula on the unit circle. (English) Zbl 1126.65023 Numer. Algorithms 44, No. 4, 391-401 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 33C47 42C05 41A55 PDFBibTeX XMLCite \textit{E. Berriochoa} et al., Numer. Algorithms 44, No. 4, 391--401 (2007; Zbl 1126.65023) Full Text: DOI Link
Huybrechs, Daan; Vandewalle, Stefan The construction of cubature rules for multivariate highly oscillatory integrals. (English) Zbl 1128.65024 Math. Comput. 76, No. 260, 1955-1980 (2007). Reviewer: Manfred Tasche (Rostock) MSC: 65D32 41A63 41A55 42A16 65T40 PDFBibTeX XMLCite \textit{D. Huybrechs} and \textit{S. Vandewalle}, Math. Comput. 76, No. 260, 1955--1980 (2007; Zbl 1128.65024) Full Text: DOI
Sommariva, A.; Vianello, M. Product Gauss cubature over polygons based on Green’s integration formula. (English) Zbl 1122.65027 BIT 47, No. 2, 441-453 (2007). Reviewer: Dan Bārbosu (Baia Mare) MSC: 65D32 41A55 41A63 PDFBibTeX XMLCite \textit{A. Sommariva} and \textit{M. Vianello}, BIT 47, No. 2, 441--453 (2007; Zbl 1122.65027) Full Text: DOI
Gelb, Anne Reconstruction of piecewise smooth functions from non-uniform grid point data. (English) Zbl 1113.65014 J. Sci. Comput. 30, No. 3, 409-440 (2007). MSC: 65D15 65T40 33C45 42C20 PDFBibTeX XMLCite \textit{A. Gelb}, J. Sci. Comput. 30, No. 3, 409--440 (2007; Zbl 1113.65014) Full Text: DOI
Eisinberg, A.; Fedele, G. Discrete orthogonal polynomials on Gauss-Lobatto Chebyshev nodes. (English) Zbl 1117.65040 J. Approximation Theory 144, No. 2, 238-246 (2007). Reviewer: R. B. Paris (Dundee) MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{A. Eisinberg} and \textit{G. Fedele}, J. Approx. Theory 144, No. 2, 238--246 (2007; Zbl 1117.65040) Full Text: DOI
Laurie, Dirk; De Villiers, Johan Orthogonal polynomials for refinable linear functionals. (English) Zbl 1107.65130 Math. Comput. 75, No. 256, 1891-1903 (2006). MSC: 65T60 42C40 42C05 65D07 PDFBibTeX XMLCite \textit{D. Laurie} and \textit{J. De Villiers}, Math. Comput. 75, No. 256, 1891--1903 (2006; Zbl 1107.65130) Full Text: DOI
Hascelik, A. Ihsan Gauss quadrature rules for a generalized Hermite weight function. (English) Zbl 1103.65026 Appl. Math. Comput. 180, No. 1, 86-96 (2006). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{A. I. Hascelik}, Appl. Math. Comput. 180, No. 1, 86--96 (2006; Zbl 1103.65026) Full Text: DOI
Hansen, Olaf Orthogonal polynomials for the solution of semi linear two-point boundary value problems. (English) Zbl 1099.65061 J. Integral Equations Appl. 17, No. 4, 397-412 (2005). MSC: 65L10 34B15 65L60 65L20 PDFBibTeX XMLCite \textit{O. Hansen}, J. Integral Equations Appl. 17, No. 4, 397--412 (2005; Zbl 1099.65061) Full Text: DOI
Gautschi, Walter Numerical quadrature computation of the Macdonald function for complex orders. (English) Zbl 1082.65026 BIT 45, No. 3, 593-603 (2005). MSC: 65D20 65Y15 33-04 33F05 33C10 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 45, No. 3, 593--603 (2005; Zbl 1082.65026) 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 Generalized Gauss-Radau and Gauss-Lobatto formulae. (English) Zbl 1076.65023 BIT 44, No. 4, 711-720 (2004). MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 44, No. 4, 711--720 (2004; Zbl 1076.65023) Full Text: DOI