Meyer, Marcela Molina; Prieto Medina, Frank Richard Polar differentiation matrices for the Laplace equation in the disk under nonhomogeneous Dirichlet, Neumann and Robin boundary conditions and the biharmonic equation under nonhomogeneous Dirichlet conditions. (English) Zbl 07336177 Comput. Math. Appl. 89, 1-19 (2021). MSC: 65 35 PDF BibTeX XML Cite \textit{M. M. Meyer} and \textit{F. R. Prieto Medina}, Comput. Math. Appl. 89, 1--19 (2021; Zbl 07336177) Full Text: DOI
Balyan, L. K.; Mittal, A. K.; Kumar, M.; Choube, M. Stability analysis and highly accurate numerical approximation of Fisher’s equations using pseudospectral method. (English) Zbl 07318089 Math. Comput. Simul. 177, 86-104 (2020). MSC: 65M 35K PDF BibTeX XML Cite \textit{L. K. Balyan} et al., Math. Comput. Simul. 177, 86--104 (2020; Zbl 07318089) Full Text: DOI
Wang, Lina; Yi, Lijun; Jia, Hongli An \(h\)-\(p\) version of the Chebyshev spectral collocation method for Volterra integro-differential equations with vanishing delays. (English) Zbl 07223726 J. Integral Equations Appl. 32, No. 1, 101-128 (2020). MSC: 65 45G 65R 65L 45J PDF BibTeX XML Cite \textit{L. Wang} et al., J. Integral Equations Appl. 32, No. 1, 101--128 (2020; Zbl 07223726) Full Text: DOI Euclid
Nemati, S.; Lima, P. M.; Sedaghat, S. Legendre wavelet collocation method combined with the Gauss-Jacobi quadrature for solving fractional delay-type integro-differential equations. (English) Zbl 07172963 Appl. Numer. Math. 149, 99-112 (2020). MSC: 65 PDF BibTeX XML Cite \textit{S. Nemati} et al., Appl. Numer. Math. 149, 99--112 (2020; Zbl 07172963) Full Text: DOI
Gholami, Saeid; Babolian, Esmail; Javidi, Mohammad Fractional pseudospectral integration/differentiation matrix and fractional differential equations. (English) Zbl 1428.74225 Appl. Math. Comput. 343, 314-327 (2019). MSC: 74S25 65M70 34A08 PDF BibTeX XML Cite \textit{S. Gholami} et al., Appl. Math. Comput. 343, 314--327 (2019; Zbl 1428.74225) Full Text: DOI
Mittal, A. K.; Balyan, L. K. A highly accurate time-space pseudospectral approximation and stability analysis of two dimensional Brusselator model for chemical systems. (English) Zbl 1428.65052 Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 140, 18 p. (2019). MSC: 65M70 41A50 65H10 35K57 65M12 65M15 PDF BibTeX XML Cite \textit{A. K. Mittal} and \textit{L. K. Balyan}, Int. J. Appl. Comput. Math. 5, No. 5, Paper No. 140, 18 p. (2019; Zbl 1428.65052) Full Text: DOI
Meng, Tingting; Wang, Zhongqing; Yi, Lijun An \({h}\)-\({p}\) version of the Chebyshev spectral collocation method for nonlinear delay differential equations. (English) Zbl 1416.65179 Numer. Methods Partial Differ. Equations 35, No. 2, 664-680 (2019). MSC: 65L03 65L60 PDF BibTeX XML Cite \textit{T. Meng} et al., Numer. Methods Partial Differ. Equations 35, No. 2, 664--680 (2019; Zbl 1416.65179) Full Text: DOI
Nhat, L. A. Using differentiation matrices for pseudospectral method solve Duffing oscillator. (English) Zbl 1449.65168 J. Nonlinear Sci. Appl. 11, No. 12, 1331-1336 (2018). MSC: 65L60 34B15 41A50 65L10 PDF BibTeX XML Cite \textit{L. A. Nhat}, J. Nonlinear Sci. Appl. 11, No. 12, 1331--1336 (2018; Zbl 1449.65168) Full Text: DOI
Shivanian, Elyas; Abbasbandy, Saeid Multiple solutions of a nonlinear reactive transport model using least square pseudo-spectral collocation method. (English) Zbl 1412.65055 Int. J. Nonlinear Anal. Appl. 9, No. 2, 47-57 (2018). MSC: 65L10 34L05 PDF BibTeX XML Cite \textit{E. Shivanian} and \textit{S. Abbasbandy}, Int. J. Nonlinear Anal. Appl. 9, No. 2, 47--57 (2018; Zbl 1412.65055) Full Text: DOI
Mittal, Avinash; Balyan, Lokendra; Tiger, Dheeraj An improved pseudospectral approximation of generalized Burger-Huxley and Fitzhugh-Nagumo equations. (English) Zbl 1424.65188 Comput. Methods Differ. Equ. 6, No. 3, 280-294 (2018). MSC: 65M70 35K20 35K59 PDF BibTeX XML Cite \textit{A. Mittal} et al., Comput. Methods Differ. Equ. 6, No. 3, 280--294 (2018; Zbl 1424.65188) Full Text: Link
Mohamed, Doaa Shokry; Taher, R. A. Comparison of Chebyshev and Legendre polynomials methods for solving two dimensional Volterra-Fredholm integral equations. (English) Zbl 1377.65172 J. Egypt. Math. Soc. 25, No. 3, 302-307 (2017). MSC: 65R20 45B05 45D05 45E10 PDF BibTeX XML Cite \textit{D. S. Mohamed} and \textit{R. A. Taher}, J. Egypt. Math. Soc. 25, No. 3, 302--307 (2017; Zbl 1377.65172) Full Text: DOI
Parand, Kourosh; Delkhosh, Mehdi New numerical solution for solving nonlinear singular Thomas-Fermi differential equation. (English) Zbl 1377.65096 Bull. Belg. Math. Soc. - Simon Stevin 24, No. 3, 457-476 (2017). MSC: 65L10 34B16 34B40 65L60 81Q05 PDF BibTeX XML Cite \textit{K. Parand} and \textit{M. Delkhosh}, Bull. Belg. Math. Soc. - Simon Stevin 24, No. 3, 457--476 (2017; Zbl 1377.65096) Full Text: Euclid
Zogheib, Bashar; Tohidi, Emran An accurate space-time pseudospectral method for solving nonlinear multi-dimensional heat transfer problems. (English) Zbl 1362.65116 Mediterr. J. Math. 14, No. 1, Paper No. 30, 19 p. (2017). MSC: 65M70 35K55 65D25 PDF BibTeX XML Cite \textit{B. Zogheib} and \textit{E. Tohidi}, Mediterr. J. Math. 14, No. 1, Paper No. 30, 19 p. (2017; Zbl 1362.65116) Full Text: DOI
Hammad, D. A.; El-Azab, M. S. Chebyshev-Chebyshev spectral collocation method for solving the generalized regularized long wave (GRLW) equation. (English) Zbl 1410.65395 Appl. Math. Comput. 285, 228-240 (2016). MSC: 65M70 35Q53 PDF BibTeX XML Cite \textit{D. A. Hammad} and \textit{M. S. El-Azab}, Appl. Math. Comput. 285, 228--240 (2016; Zbl 1410.65395) Full Text: DOI
Ellahi, R.; Shivanian, E.; Abbasbandy, S.; Hayat, T. Numerical study of magnetohydrodynamics generalized Couette flow of Eyring-Powell fluid with heat transfer and slip condition. (English) Zbl 1356.76427 Int. J. Numer. Methods Heat Fluid Flow 26, No. 5, 1433-1445 (2016). MSC: 76W05 76A05 76M22 PDF BibTeX XML Cite \textit{R. Ellahi} et al., Int. J. Numer. Methods Heat Fluid Flow 26, No. 5, 1433--1445 (2016; Zbl 1356.76427) Full Text: DOI
Ndeuzoumbet, Siniki; Mampassi, Benjamin On rational and adaptive spectral methods. (English) Zbl 1343.41002 Int. J. Appl. Math. 28, No. 6, 739-755 (2015). MSC: 41A50 41A21 35C11 65M70 PDF BibTeX XML Cite \textit{S. Ndeuzoumbet} and \textit{B. Mampassi}, Int. J. Appl. Math. 28, No. 6, 739--755 (2015; Zbl 1343.41002) Full Text: DOI
Doha, E. H.; Abd-Elhameed, W. M.; Alsuyuti, M. M. On using third and fourth kinds Chebyshev polynomials for solving the integrated forms of high odd-order linear boundary value problems. (English) Zbl 1327.65196 J. Egypt. Math. Soc. 23, No. 2, 397-405 (2015). MSC: 65M70 65N35 35C10 42C10 PDF BibTeX XML Cite \textit{E. H. Doha} et al., J. Egypt. Math. Soc. 23, No. 2, 397--405 (2015; Zbl 1327.65196) Full Text: DOI
Elgindy, Kareem Gegenbauer collocation integration methods: advances in computational optimal control theory. (English) Zbl 1297.49056 Bull. Aust. Math. Soc. 89, No. 1, 168-170 (2014). MSC: 49M37 49J15 65D30 65D32 65M70 PDF BibTeX XML Cite \textit{K. Elgindy}, Bull. Aust. Math. Soc. 89, No. 1, 168--170 (2014; Zbl 1297.49056) Full Text: DOI
Ganaie, Ishfaq Ahmad; Gupta, Bharti; Parumasur, N.; Singh, P.; Kukreja, V. K. Asymptotic convergence of cubic Hermite collocation method for parabolic partial differential equation. (English) Zbl 1329.65235 Appl. Math. Comput. 220, 560-567 (2013). MSC: 65M70 65M12 PDF BibTeX XML Cite \textit{I. A. Ganaie} et al., Appl. Math. Comput. 220, 560--567 (2013; Zbl 1329.65235) Full Text: DOI
Rostamy, Davood; Karimi, Kobra; Zabihi, Fateme; Alipour, Mohsen Numerical solution of electrodynamic flow by using pseudo-spectral collocation method. (English) Zbl 1301.76080 Vietnam J. Math. 41, No. 1, 43-49 (2013). MSC: 76W05 65L60 34A45 PDF BibTeX XML Cite \textit{D. Rostamy} et al., Vietnam J. Math. 41, No. 1, 43--49 (2013; Zbl 1301.76080) Full Text: DOI
Godinho, L. M. C.; Costa, E. G. A.; Pereira, A. S. C.; Santiago, J. A. F. Some observations on the behavior of the method of fundamental solutions in 3D acoustic problems. (English) Zbl 1359.76254 Int. J. Comput. Methods 9, No. 4, Article ID 1250049, 25 p. (2012). MSC: 76Q05 76M15 65N80 PDF BibTeX XML Cite \textit{L. M. C. Godinho} et al., Int. J. Comput. Methods 9, No. 4, Article ID 1250049, 25 p. (2012; Zbl 1359.76254) Full Text: DOI
Maleknejad, Khosrow; Attary, Maryam A Chebyshev collocation method for the solution of higher-order systems of Fredholm-Volterra integro-differential equations. (A Chebysheve collocation method for the solution of higher-order Fredholm-Volterra integro-differential equations system.) (English) Zbl 1289.65291 Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 74, No. 4, 17-28 (2012). MSC: 65R20 45B05 45D05 45F05 PDF BibTeX XML Cite \textit{K. Maleknejad} and \textit{M. Attary}, Sci. Bull., Ser. A, Appl. Math. Phys., Politeh. Univ. Buchar. 74, No. 4, 17--28 (2012; Zbl 1289.65291)
Jiwari, Ram; Pandit, Sapna; Mittal, R. C. A differential quadrature algorithm to solve the two dimensional linear hyperbolic telegraph equation with Dirichlet and Neumann boundary conditions. (English) Zbl 1246.65174 Appl. Math. Comput. 218, No. 13, 7279-7294 (2012). MSC: 65M20 65M70 35L20 65L06 PDF BibTeX XML Cite \textit{R. Jiwari} et al., Appl. Math. Comput. 218, No. 13, 7279--7294 (2012; Zbl 1246.65174) Full Text: DOI
Abbasbandy, S.; Shivanian, E. Multiple solutions of mixed convection in a porous medium on semi-infinite interval using pseudo-spectral collocation method. (English) Zbl 1221.76189 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2745-2752 (2011). MSC: 76S05 76M22 PDF BibTeX XML Cite \textit{S. Abbasbandy} and \textit{E. Shivanian}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2745--2752 (2011; Zbl 1221.76189) Full Text: DOI
Dehghan, Mehdi; Taleei, Ameneh Numerical solution of nonlinear Schrödinger equation by using time-space pseudo-spectral method. (English) Zbl 1195.65137 Numer. Methods Partial Differ. Equations 26, No. 4, 979-992 (2010). MSC: 65M70 35Q55 PDF BibTeX XML Cite \textit{M. Dehghan} and \textit{A. Taleei}, Numer. Methods Partial Differ. Equations 26, No. 4, 979--992 (2010; Zbl 1195.65137) Full Text: DOI
Gülsu, Mustafa; Öztürk, Yalçın; Sezer, Mehmet A new collocation method for solution of mixed linear integro-differential-difference equations. (English) Zbl 1192.65161 Appl. Math. Comput. 216, No. 7, 2183-2198 (2010). MSC: 65R20 45J05 45A05 68W30 PDF BibTeX XML Cite \textit{M. Gülsu} et al., Appl. Math. Comput. 216, No. 7, 2183--2198 (2010; Zbl 1192.65161) Full Text: DOI
Zhang, Wen; Ma, Heping Chebyshev-Legendre method for discretizing optimal control problems. (English) Zbl 1212.65257 J. Shanghai Univ. 13, No. 2, 113-118 (2009). MSC: 65K10 49J20 90C30 49M37 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{H. Ma}, J. Shanghai Univ. 13, No. 2, 113--118 (2009; Zbl 1212.65257) Full Text: DOI
Bosner, Tina; Rogina, Mladen Collocation by singular splines. (English) Zbl 1178.65093 Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 2, 217-227 (2008). MSC: 65L60 34B16 65L10 PDF BibTeX XML Cite \textit{T. Bosner} and \textit{M. Rogina}, Ann. Univ. Ferrara, Sez. VII, Sci. Mat. 54, No. 2, 217--227 (2008; Zbl 1178.65093) Full Text: DOI
Driscoll, Tobin A.; Bornemann, Folkmar; Trefethen, Lloyd N. The chebop system for automatic solution of differential equations. (English) Zbl 1162.65370 BIT 48, No. 4, 701-723 (2008). MSC: 65L10 34B05 68W30 65L60 35L15 34L16 PDF BibTeX XML Cite \textit{T. A. Driscoll} et al., BIT 48, No. 4, 701--723 (2008; Zbl 1162.65370) Full Text: DOI
Zhang, Wen; Ma, Heping The Chebyshev-Legendre collocation method for a class of optimal control problems. (English) Zbl 1159.49039 Int. J. Comput. Math. 85, No. 2, 225-240 (2008). Reviewer: Rudolf Kodnár (Bratislava) MSC: 49M30 65N35 49J15 90C30 PDF BibTeX XML Cite \textit{W. Zhang} and \textit{H. Ma}, Int. J. Comput. Math. 85, No. 2, 225--240 (2008; Zbl 1159.49039) Full Text: DOI
Traore, Aboubakari; Mampassi, Benjamin; Saley, Bisso A numerical approach of the sentinel method for distributed parameter systems. (English) Zbl 1154.65075 Cent. Eur. J. Math. 5, No. 4, 751-763 (2007). Reviewer: Kai Schneider (Marseille) MSC: 65M32 65M70 35K55 35R30 65M12 PDF BibTeX XML Cite \textit{A. Traore} et al., Cent. Eur. J. Math. 5, No. 4, 751--763 (2007; Zbl 1154.65075) Full Text: DOI
Wang, Xiuming; Seriani, Geza; Lin, Weijun Some theoretical aspects of elastic wave modeling with a recently developed spectral element method. (English) Zbl 1237.74098 Sci. China, Ser. G 50, No. 2, 185-207 (2007). MSC: 74J10 74S25 74S05 PDF BibTeX XML Cite \textit{X. Wang} et al., Sci. China, Ser. G 50, No. 2, 185--207 (2007; Zbl 1237.74098) Full Text: DOI
Carabineanu, Adrian; Lungu, Emil Pseudospectral method for MHD pipe flow. (English) Zbl 1128.76044 Int. J. Numer. Methods Eng. 68, No. 2, 173-191 (2006). MSC: 76M22 76W05 PDF BibTeX XML Cite \textit{A. Carabineanu} and \textit{E. Lungu}, Int. J. Numer. Methods Eng. 68, No. 2, 173--191 (2006; Zbl 1128.76044) Full Text: DOI
Tee, T. W.; Trefethen, Lloyd N. A rational spectral collocation method with adaptively transformed Chebyshev grid points. (English) Zbl 1123.65105 SIAM J. Sci. Comput. 28, No. 5, 1798-1811 (2006). MSC: 65M70 65M50 35Q53 PDF BibTeX XML Cite \textit{T. W. Tee} and \textit{L. N. Trefethen}, SIAM J. Sci. Comput. 28, No. 5, 1798--1811 (2006; Zbl 1123.65105) Full Text: DOI
Baltensperger, Richard; Trummer, Manfred R. Spectral differencing with a twist. (English) Zbl 1034.65016 SIAM J. Sci. Comput. 24, No. 5, 1465-1487 (2003). MSC: 65D25 65G50 65M70 65L60 65L10 35L45 34B05 PDF BibTeX XML Cite \textit{R. Baltensperger} and \textit{M. R. Trummer}, SIAM J. Sci. Comput. 24, No. 5, 1465--1487 (2003; Zbl 1034.65016) Full Text: DOI
Wu, Hua; Ma, Heping; Li, Huiyuan Optimal error estimates of the Chebyshev-Legendre spectral method for solving the generalized Burgers equation. (English) Zbl 1050.65083 SIAM J. Numer. Anal. 41, No. 2, 659-672 (2003). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M12 35Q53 65M70 65M20 65M06 PDF BibTeX XML Cite \textit{H. Wu} et al., SIAM J. Numer. Anal. 41, No. 2, 659--672 (2003; Zbl 1050.65083) Full Text: DOI
Povstenko, Yu. Z.; Derkach, S. B. Application of the collocation method for solving the diffusion type equations with non-local boundary conditions. (Ukrainian) Zbl 1073.35509 Mat. Metody Fiz.-Mekh. Polya 45, No. 2, 37-41 (2002). Reviewer: V. I. Guljaev (Kyïv) MSC: 35A35 35K57 35K50 65M70 PDF BibTeX XML Cite \textit{Yu. Z. Povstenko} and \textit{S. B. Derkach}, Mat. Metody Fiz.-Mekh. Polya 45, No. 2, 37--41 (2002; Zbl 1073.35509)
Pinarbasi, Ahmet Formulation and computational issues for stability of two-layer inelastic fluids. (English) Zbl 0977.76068 Comput. Fluids 29, No. 8, 935-950 (2000). MSC: 76M22 76E05 76A10 PDF BibTeX XML Cite \textit{A. Pinarbasi}, Comput. Fluids 29, No. 8, 935--950 (2000; Zbl 0977.76068) Full Text: DOI
Baltensperger, R.; Berrut, J.-P. The errors in calculating the pseudospectral differentiation matrices for Čebyšev-Gauss-Lobatto points. (English) Zbl 0940.65021 Comput. Math. Appl. 37, No. 1, 41-48 (1999); errata ibid. 38, No. 1, 199 (1999). Reviewer: Thomas Sonar (Braunschweig) MSC: 65D25 65G50 65N35 PDF BibTeX XML Cite \textit{R. Baltensperger} and \textit{J. P. Berrut}, Comput. Math. Appl. 37, No. 1, 41--48 (1999; Zbl 0940.65021) Full Text: DOI
Manna, M.; Vacca, A. An efficient method for the solution of the incompressible Navier-Stokes equations in cylindrical geometries. (English) Zbl 0958.76064 J. Comput. Phys. 151, No. 2, 563-584 (1999). Reviewer: W.Heinrichs (Essen) MSC: 76M22 76D05 76U05 PDF BibTeX XML Cite \textit{M. Manna} and \textit{A. Vacca}, J. Comput. Phys. 151, No. 2, 563--584 (1999; Zbl 0958.76064) Full Text: DOI
Renaud, François; Gauthier, Serge A dynamical pseudo-spectral domain decomposition technique: Application to viscous compressible flows. (English) Zbl 0873.76065 J. Comput. Phys. 131, No. 1, 89-108 (1997). Reviewer: A.Carabineanu (Bucureşti) MSC: 76M25 76N10 PDF BibTeX XML Cite \textit{F. Renaud} and \textit{S. Gauthier}, J. Comput. Phys. 131, No. 1, 89--108 (1997; Zbl 0873.76065) Full Text: DOI
Le Marec, C.; Guérin, R.; Haldenwang, P. Collocation method for convective flow induced by directional solidification in a cylinder. (English) Zbl 0887.76056 Int. J. Numer. Methods Fluids 22, No. 5, 393-409 (1996). MSC: 76M25 76R10 76T99 80A22 PDF BibTeX XML Cite \textit{C. Le Marec} et al., Int. J. Numer. Methods Fluids 22, No. 5, 393--409 (1996; Zbl 0887.76056) Full Text: DOI
Trif, Damian; Petrila, Titus An almost explicit algorithm for the incompressible Navier-Stokes equations. (English) Zbl 0851.76071 PU.M.A., Pure Math. Appl. 6, No. 2-3, 279-285 (1995). MSC: 76M25 76D05 65M70 PDF BibTeX XML Cite \textit{D. Trif} and \textit{T. Petrila}, PU.M.A., Pure Math. Appl. 6, No. 2--3, 279--285 (1995; Zbl 0851.76071)
Giannakouros, John G.; Sidilkover, David; Karniadakis, George Em Spectral element-FCT method for the one- and two-dimensional compressible Euler equations. (English) Zbl 0826.76062 Comput. Methods Appl. Mech. Eng. 116, 113-121 (1994). MSC: 76M25 76N10 65M70 PDF BibTeX XML Cite \textit{J. G. Giannakouros} et al., Comput. Methods Appl. Mech. Eng. 116, No. 1--4, 113--121 (1994; Zbl 0826.76062) Full Text: DOI
Luo, Yong; Yedlin, Matthew J. Polynomial time-marching for nonperiodic boundary value problems. (English) Zbl 0822.65066 J. Sci. Comput. 9, No. 2, 123-136 (1994). Reviewer: Th.Sonar (Göttingen) MSC: 65M20 65M70 35K05 PDF BibTeX XML Cite \textit{Y. Luo} and \textit{M. J. Yedlin}, J. Sci. Comput. 9, No. 2, 123--136 (1994; Zbl 0822.65066) Full Text: DOI
Don, Wai Sun; Gottlieb, David The Chebyshev-Legendre method: Implementing Legendre methods on Chebyshev points. (English) Zbl 0815.65106 SIAM J. Numer. Anal. 31, No. 6, 1519-1534 (1994). Reviewer: K.Najzar (Praha) MSC: 65M70 65M12 35K05 PDF BibTeX XML Cite \textit{W. S. Don} and \textit{D. Gottlieb}, SIAM J. Numer. Anal. 31, No. 6, 1519--1534 (1994; Zbl 0815.65106) Full Text: DOI
Giannakouros, John; Karniadakis, George Em A spectral element-FCT method for the compressible Euler equations. (English) Zbl 0811.76058 J. Comput. Phys. 115, No. 1, 65-85 (1994). MSC: 76M25 76N10 65M70 PDF BibTeX XML Cite \textit{J. Giannakouros} and \textit{G. E. Karniadakis}, J. Comput. Phys. 115, No. 1, 65--85 (1994; Zbl 0811.76058) Full Text: DOI
Sloan, I. H.; Stephan, E. P. Collocation with Chebyshev polynomials for Symm’s integral equation on an interval. (English) Zbl 0760.65130 J. Aust. Math. Soc., Ser. B 34, No. 2, 199-211 (1992). Reviewer: M.Schleiff (Halle) MSC: 65R20 45E10 PDF BibTeX XML Cite \textit{I. H. Sloan} and \textit{E. P. Stephan}, J. Aust. Math. Soc., Ser. B 34, No. 2, 199--211 (1992; Zbl 0760.65130) Full Text: DOI
Shen, Jie Hopf bifurcation of the unsteady regularized driven cavity flow. (English) Zbl 0725.76059 J. Comput. Phys. 95, No. 1, 228-245 (1991). MSC: 76M20 76D10 76D05 PDF BibTeX XML Cite \textit{J. Shen}, J. Comput. Phys. 95, No. 1, 228--245 (1991; Zbl 0725.76059) Full Text: DOI
Karageorghis, Andreas A note on the satisfaction of the boundary conditions for Chebyshev collocation methods in rectangular domains. (English) Zbl 0751.65063 J. Sci. Comput. 6, No. 1, 21-26 (1991). Reviewer: H.Marcinkowska (Wrocław) MSC: 65N35 76S05 31A30 35J05 PDF BibTeX XML Cite \textit{A. Karageorghis}, J. Sci. Comput. 6, No. 1, 21--26 (1991; Zbl 0751.65063) Full Text: DOI
Ọlaọfẹ, G. O. Quadrature solution of singular integral equations. I: A uniform treatment of Fredholm and Volterra equations. (English) Zbl 0702.65103 Comput. Math. Appl. 19, No. 11, 141-146 (1990). Reviewer: E.Hairer MSC: 65R20 65L05 65L60 34A34 45G05 PDF BibTeX XML Cite \textit{G. O. Ọlaọfẹ}, Comput. Math. Appl. 19, No. 11, 141--146 (1990; Zbl 0702.65103) Full Text: DOI
Nürnberger, Günther Approximation by spline functions. (English) Zbl 0692.41017 Berlin etc.: Springer-Verlag. xi, 243 p. DM 74.00 (1989). Reviewer: V.B.Burjan MSC: 41A15 41-02 41A05 41A50 65D07 41A10 41A55 PDF BibTeX XML Cite \textit{G. Nürnberger}, Approximation by spline functions. Berlin etc.: Springer-Verlag (1989; Zbl 0692.41017)
Weideman, J. A. C.; Trefethen, L. N. The eigenvalues of second-order spectral differentiation matrices. (English) Zbl 0666.65063 SIAM J. Numer. Anal. 25, No. 6, 1279-1298 (1988). Reviewer: W.Velte MSC: 65L60 65D25 15A18 65F15 PDF BibTeX XML Cite \textit{J. A. C. Weideman} and \textit{L. N. Trefethen}, SIAM J. Numer. Anal. 25, No. 6, 1279--1298 (1988; Zbl 0666.65063) Full Text: DOI
Quarteroni, Alfio Blending Fourier and Chebyshev interpolation. (English) Zbl 0645.41002 J. Approximation Theory 51, 115-126 (1987). Reviewer: M.Reimer MSC: 41A05 PDF BibTeX XML Cite \textit{A. Quarteroni}, J. Approx. Theory 51, 115--126 (1987; Zbl 0645.41002) Full Text: DOI
Boyd, John P. An analytical and numerical study of the two-dimensional Bratu equation. (English) Zbl 0649.65057 J. Sci. Comput. 1, No. 2, 183-206 (1986). MSC: 65N25 65N35 35P30 PDF BibTeX XML Cite \textit{J. P. Boyd}, J. Sci. Comput. 1, No. 2, 183--206 (1986; Zbl 0649.65057) Full Text: DOI
Bernardi, Christine; Maday, Yvon Propriétés de quelques espaces de Sobolev avec poids et application à la collocation de Tchebycheff. (Properties of some weighted Sobolev spaces and application to the Chebyshev collocation). (French) Zbl 0611.46040 C. R. Acad. Sci., Paris, Sér. I 303, 829-832 (1986). MSC: 46E35 65N35 35J25 41A50 PDF BibTeX XML Cite \textit{C. Bernardi} and \textit{Y. Maday}, C. R. Acad. Sci., Paris, Sér. I 303, 829--832 (1986; Zbl 0611.46040)
Karniadakis, George E.; Patera, Anthony T. A spectral element method for the simulation of unsteady incompressible flows with heat transfer. (English) Zbl 0595.76031 Innovative numerical methods in engineering, Proc. 4th Int. Symp., Atlanta/Ga. 1986, 237-240 (1986). MSC: 76D05 76D10 65N35 76R10 80A20 76M99 PDF BibTeX XML
Nath, Y.; Dumir, P. C.; Bhatia, R. S. Nonlinear static and dynamic analysis of circular plates and shallow spherical shells using the collocation method. (English) Zbl 0555.73082 Int. J. Numer. Methods Eng. 21, 565-578 (1985). MSC: 74S30 74K20 74K15 65N35 41A10 74H45 74S99 PDF BibTeX XML Cite \textit{Y. Nath} et al., Int. J. Numer. Methods Eng. 21, 565--578 (1985; Zbl 0555.73082) Full Text: DOI
Patera, Anthony T. A spectral element method for fluid dynamics: Laminar flow in a channel expansion. (English) Zbl 0535.76035 J. Comput. Phys. 54, 468-488 (1984). MSC: 76D05 76M99 PDF BibTeX XML Cite \textit{A. T. Patera}, J. Comput. Phys. 54, 468--488 (1984; Zbl 0535.76035) Full Text: DOI
Nath, Y.; Dumir, P. C.; Gandhi, M. L. Choice of collocation points for axisymmetric nonlinear two-point boundary value problems in statics of shallow spherical shells. (English) Zbl 0527.73083 Rozpr. Inz. 31, 331-340 (1983). MSC: 74S30 74K15 65N35 PDF BibTeX XML Cite \textit{Y. Nath} et al., Rozpr. Inż. 31, 331--340 (1983; Zbl 0527.73083)
Metivet, B.; Morchoisne, Y. Multi-domain spectral technique for viscous flow calculations. (English) Zbl 0515.76031 Numerical methods in fluid mechanics, Proc. 4th GAMM-Conf., Paris 1981, Notes Numer. Fluid Mech. 5, 207-219 (1982). MSC: 76D05 76M99 PDF BibTeX XML
Deville, M.; Labrosse, G. An algorithm for the evaluation of multidimensional (direct and inverse) discrete Chebyshev transforms. (English) Zbl 0494.65003 J. Comput. Appl. Math. 8, 293-304 (1982). MSC: 65B10 65T40 33C45 65-04 42A15 PDF BibTeX XML Cite \textit{M. Deville} and \textit{G. Labrosse}, J. Comput. Appl. Math. 8, 293--304 (1982; Zbl 0494.65003) Full Text: DOI
Ruffhead, A.; Oliver, J. A characterisation of certain optimal collocation points for numerical differentiation. (English) Zbl 0455.65017 BIT, Nord. Tidskr. Inf.-behandl. 20, 385-388 (1980). MSC: 65D25 PDF BibTeX XML Cite \textit{A. Ruffhead} and \textit{J. Oliver}, BIT, Nord. Tidskr. Inf.-behandl. 20, 385--388 (1980; Zbl 0455.65017) Full Text: DOI