Doctor, Katarina; Mao, Tong; Mhaskar, Hrushikesh Encoding of data sets and algorithms. (English) Zbl 07856363 Appl. Numer. Math. 200, 209-235 (2024). Reviewer: Francisco Marcellán (Leganes) MSC: 41A46 42C05 62R20 PDFBibTeX XMLCite \textit{K. Doctor} et al., Appl. Numer. Math. 200, 209--235 (2024; Zbl 07856363) Full Text: DOI arXiv
Djukić, Dušan Lj.; Mutavdžić Djukić, Rada M.; Reichel, Lothar; Spalević, Miodrag M. Weighted averaged Gaussian quadrature rules for modified Chebyshev measures. (English) Zbl 07856362 Appl. Numer. Math. 200, 195-208 (2024). MSC: 65Dxx 41Axx 15Axx PDFBibTeX XMLCite \textit{D. Lj. Djukić} et al., Appl. Numer. Math. 200, 195--208 (2024; Zbl 07856362) Full Text: DOI
Mittal, A. K. A space-time pseudospectral method for solving multi-dimensional quasi-linear parabolic partial differential (Burgers’) equations. (English) Zbl 07763847 Appl. Numer. Math. 195, 39-53 (2024). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{A. K. Mittal}, Appl. Numer. Math. 195, 39--53 (2024; Zbl 07763847) Full Text: DOI
An, Congpei; Cai, Mou Lasso trigonometric polynomial approximation for periodic function recovery in equidistant points. (English) Zbl 1529.42002 Appl. Numer. Math. 194, 115-130 (2023). Reviewer: Antonio López-Carmona (Granada) MSC: 42A10 42A15 65D05 41A50 42A75 PDFBibTeX XMLCite \textit{C. An} and \textit{M. Cai}, Appl. Numer. Math. 194, 115--130 (2023; Zbl 1529.42002) Full Text: DOI arXiv
Jung, Jae-Hun; Olmos-Liceaga, Daniel A Chebyshev multidomain adaptive mesh method for reaction-diffusion equations. (English) Zbl 07710418 Appl. Numer. Math. 190, 283-302 (2023). MSC: 65Mxx 92Cxx 35Kxx PDFBibTeX XMLCite \textit{J.-H. Jung} and \textit{D. Olmos-Liceaga}, Appl. Numer. Math. 190, 283--302 (2023; Zbl 07710418) Full Text: DOI arXiv
Wu, Hua; Gao, Qiyi A space-time spectral method for solving the nonlinear Klein-Gordon equation. (English) Zbl 07710409 Appl. Numer. Math. 190, 110-137 (2023). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{H. Wu} and \textit{Q. Gao}, Appl. Numer. Math. 190, 110--137 (2023; Zbl 07710409) Full Text: DOI
Kaur, Avleen; Lui, S. H. Space-time spectral method for the Stokes problem. (English) Zbl 07705772 Appl. Numer. Math. 187, 206-234 (2023). MSC: 65Mxx 65Nxx 15Axx PDFBibTeX XMLCite \textit{A. Kaur} and \textit{S. H. Lui}, Appl. Numer. Math. 187, 206--234 (2023; Zbl 07705772) Full Text: DOI
Xie, Jiangming; Li, Maojun A fast BDF2 Galerkin finite element method for the one-dimensional time-dependent Schrödinger equation with artificial boundary conditions. (English) Zbl 07705765 Appl. Numer. Math. 187, 89-106 (2023). MSC: 65Mxx 35Qxx 65Nxx PDFBibTeX XMLCite \textit{J. Xie} and \textit{M. Li}, Appl. Numer. Math. 187, 89--106 (2023; Zbl 07705765) Full Text: DOI
Shahni, Julee; Singh, Randhir; Cattani, Carlo Bernoulli collocation method for the third-order Lane-Emden-Fowler boundary value problem. (English) Zbl 1522.65135 Appl. Numer. Math. 186, 100-113 (2023). MSC: 65L60 65L10 PDFBibTeX XMLCite \textit{J. Shahni} et al., Appl. Numer. Math. 186, 100--113 (2023; Zbl 1522.65135) Full Text: DOI
Klein, Christian; Stoilov, Nikola Spectral approach to Korteweg-de Vries equations on the compactified real line. (English) Zbl 1484.65259 Appl. Numer. Math. 177, 160-170 (2022). MSC: 65M70 PDFBibTeX XMLCite \textit{C. Klein} and \textit{N. Stoilov}, Appl. Numer. Math. 177, 160--170 (2022; Zbl 1484.65259) Full Text: DOI arXiv
Lan, Guangqiang; Zhao, Mei; Qi, Siyuan Exponential stability of \(\theta\)-EM method for nonlinear stochastic Volterra integro-differential equations. (English) Zbl 1483.65017 Appl. Numer. Math. 172, 279-291 (2022). MSC: 65C30 60H10 60H20 45D05 45J05 65R20 PDFBibTeX XMLCite \textit{G. Lan} et al., Appl. Numer. Math. 172, 279--291 (2022; Zbl 1483.65017) Full Text: DOI
Liao, Huiqing; Ma, Heping Error estimate of a Legendre-Galerkin Chebyshev collocation method for a class of parabolic inverse problem. (English) Zbl 1537.65121 Appl. Numer. Math. 170, 179-189 (2021). MSC: 65M32 65M70 65M60 65N35 65N30 65D05 65D30 65M15 42C10 35K05 49M25 PDFBibTeX XMLCite \textit{H. Liao} and \textit{H. Ma}, Appl. Numer. Math. 170, 179--189 (2021; Zbl 1537.65121) Full Text: DOI
Atta, A. G.; Abd-Elhameed, W. M.; Moatimid, G. M.; Youssri, Y. H. Shifted fifth-kind Chebyshev Galerkin treatment for linear hyperbolic first-order partial differential equations. (English) Zbl 1476.65235 Appl. Numer. Math. 167, 237-256 (2021). MSC: 65M60 65M70 65M12 65M15 65F05 41A50 PDFBibTeX XMLCite \textit{A. G. Atta} et al., Appl. Numer. Math. 167, 237--256 (2021; Zbl 1476.65235) Full Text: DOI
Occorsio, Donatella; Themistoclakis, Woula On the filtered polynomial interpolation at Chebyshev nodes. (English) Zbl 1465.65010 Appl. Numer. Math. 166, 272-287 (2021). MSC: 65D05 PDFBibTeX XMLCite \textit{D. Occorsio} and \textit{W. Themistoclakis}, Appl. Numer. Math. 166, 272--287 (2021; Zbl 1465.65010) Full Text: DOI arXiv
Ghosh, Surath; Kundu, Snehasis; Kumar, Sunil; Mahmoud, Emad E. Spectral approximation methods for non equilibrium transport in turbulent channel flows using fADE. (English) Zbl 1459.65195 Appl. Numer. Math. 162, 53-66 (2021). MSC: 65M70 35R11 PDFBibTeX XMLCite \textit{S. Ghosh} et al., Appl. Numer. Math. 162, 53--66 (2021; Zbl 1459.65195) Full Text: DOI
Srivastava, Nikhil; Singh, Aman; Kumar, Yashveer; Singh, Vineet Kumar Efficient numerical algorithms for Riesz-space fractional partial differential equations based on finite difference/operational matrix. (English) Zbl 1475.65081 Appl. Numer. Math. 161, 244-274 (2021). Reviewer: Michael Plum (Karlsruhe) MSC: 65M06 65N06 65M12 65M15 42C10 41A50 35R11 PDFBibTeX XMLCite \textit{N. Srivastava} et al., Appl. Numer. Math. 161, 244--274 (2021; Zbl 1475.65081) Full Text: DOI
Khader, M. M.; Saad, Khaled M.; Hammouch, Zakia; Baleanu, Dumitru A spectral collocation method for solving fractional KdV and KdV-Burgers equations with non-singular kernel derivatives. (English) Zbl 1457.76114 Appl. Numer. Math. 161, 137-146 (2021). MSC: 76M22 76M20 76B15 65M15 26A33 PDFBibTeX XMLCite \textit{M. M. Khader} et al., Appl. Numer. Math. 161, 137--146 (2021; Zbl 1457.76114) Full Text: DOI
Rauch, Reuben; Trummer, Manfred R.; Williams, J. F. A spectral collocation method for mixed functional differential equations. (English) Zbl 1461.65225 Appl. Numer. Math. 161, 101-110 (2021). MSC: 65L60 34K37 PDFBibTeX XMLCite \textit{R. Rauch} et al., Appl. Numer. Math. 161, 101--110 (2021; Zbl 1461.65225) Full Text: DOI
Guo, Yuling; Wang, Zhongqing An \(hp\)-version Chebyshev collocation method for nonlinear fractional differential equations. (English) Zbl 1452.65138 Appl. Numer. Math. 158, 194-211 (2020). MSC: 65L60 34A08 65L70 PDFBibTeX XMLCite \textit{Y. Guo} and \textit{Z. Wang}, Appl. Numer. Math. 158, 194--211 (2020; Zbl 1452.65138) Full Text: DOI
Kheybari, Samad; Darvishi, Mohammad Taghi; Hashemi, Mir Sajjad A semi-analytical approach to Caputo type time-fractional modified anomalous sub-diffusion equations. (English) Zbl 1452.65275 Appl. Numer. Math. 158, 103-122 (2020). MSC: 65M70 65M99 65M12 65M15 34A08 35R11 26A33 PDFBibTeX XMLCite \textit{S. Kheybari} et al., Appl. Numer. Math. 158, 103--122 (2020; Zbl 1452.65275) Full Text: DOI
Pan, Jiajia; Li, Huiyuan A new collocation method using near-minimal Chebyshev quadrature nodes on a square. (English) Zbl 1498.65211 Appl. Numer. Math. 154, 104-128 (2020). MSC: 65N35 PDFBibTeX XMLCite \textit{J. Pan} and \textit{H. Li}, Appl. Numer. Math. 154, 104--128 (2020; Zbl 1498.65211) Full Text: DOI
Heydari, M. H. A computational method for a class of systems of nonlinear variable-order fractional quadratic integral equations. (English) Zbl 1433.65351 Appl. Numer. Math. 153, 164-178 (2020). MSC: 65R20 PDFBibTeX XMLCite \textit{M. H. Heydari}, Appl. Numer. Math. 153, 164--178 (2020; Zbl 1433.65351) Full Text: DOI
Qin, Yonghui; Ma, Heping Legendre-tau-Galerkin and spectral collocation method for nonlinear evolution equations. (English) Zbl 1436.65149 Appl. Numer. Math. 153, 52-65 (2020). MSC: 65M70 65N35 65N30 65M15 65D30 PDFBibTeX XMLCite \textit{Y. Qin} and \textit{H. Ma}, Appl. Numer. Math. 153, 52--65 (2020; Zbl 1436.65149) Full Text: DOI
Liang, Zhao-Zheng; Axelsson, Owe; Zhang, Guo-Feng Efficient iterative solvers for a complex valued two-by-two block linear system with application to parabolic optimal control problems. (English) Zbl 1433.65047 Appl. Numer. Math. 152, 422-445 (2020). MSC: 65F10 65F08 65K10 PDFBibTeX XMLCite \textit{Z.-Z. Liang} et al., Appl. Numer. Math. 152, 422--445 (2020; Zbl 1433.65047) Full Text: DOI
Oloniiju, Shina D.; Goqo, Sicelo P.; Sibanda, Precious A Chebyshev pseudo-spectral method for the multi-dimensional fractional Rayleigh problem for a generalized Maxwell fluid with Robin boundary conditions. (English) Zbl 1435.65176 Appl. Numer. Math. 152, 253-266 (2020). MSC: 65M70 65M12 65M15 65D05 65D32 41A50 35Q31 76W05 26A33 35R11 PDFBibTeX XMLCite \textit{S. D. Oloniiju} et al., Appl. Numer. Math. 152, 253--266 (2020; Zbl 1435.65176) Full Text: DOI
Beik, Fatemeh Panjeh Ali; Najafi-Kalyani, Mehdi; Reichel, Lothar Iterative Tikhonov regularization of tensor equations based on the Arnoldi process and some of its generalizations. (English) Zbl 1432.65049 Appl. Numer. Math. 151, 425-447 (2020). MSC: 65F22 65F05 65F10 PDFBibTeX XMLCite \textit{F. P. A. Beik} et al., Appl. Numer. Math. 151, 425--447 (2020; Zbl 1432.65049) Full Text: DOI
Matos, João C.; Matos, José A.; Rodrigues, Maria João; Vasconcelos, Paulo B. Approximating the solution of integro-differential problems via the spectral tau method with filtering. (English) Zbl 1445.65026 Appl. Numer. Math. 149, 164-175 (2020). Reviewer: Alexander N. Tynda (Penza) MSC: 65L05 65L10 65R20 41A21 PDFBibTeX XMLCite \textit{J. C. Matos} et al., Appl. Numer. Math. 149, 164--175 (2020; Zbl 1445.65026) Full Text: DOI
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 1464.65125 Appl. Numer. Math. 149, 99-112 (2020). MSC: 65M60 65H10 65T60 65D32 65M15 35R09 45K05 35R11 35R07 PDFBibTeX XMLCite \textit{S. Nemati} et al., Appl. Numer. Math. 149, 99--112 (2020; Zbl 1464.65125) Full Text: DOI arXiv
Türk, Önder; Codina, Ramon Chebyshev spectral collocation method approximations of the Stokes eigenvalue problem based on penalty techniques. (English) Zbl 1447.65125 Appl. Numer. Math. 145, 188-200 (2019). Reviewer: Michael Jung (Dresden) MSC: 65N25 65N35 65F15 65H10 76D07 35P30 PDFBibTeX XMLCite \textit{Ö. Türk} and \textit{R. Codina}, Appl. Numer. Math. 145, 188--200 (2019; Zbl 1447.65125) Full Text: DOI Link
Heydari, Mohammad Hossein Chebyshev cardinal wavelets for nonlinear variable-order fractional quadratic integral equations. (English) Zbl 1433.65352 Appl. Numer. Math. 144, 190-203 (2019). MSC: 65R20 45G10 65T60 PDFBibTeX XMLCite \textit{M. H. Heydari}, Appl. Numer. Math. 144, 190--203 (2019; Zbl 1433.65352) Full Text: DOI
Djukić, Dušan Lj.; Reichel, Lothar; Spalević, Miodrag M. Internality of generalized averaged Gaussian quadrature rules and truncated variants for measures induced by Chebyshev polynomials. (English) Zbl 1416.65074 Appl. Numer. Math. 142, 190-205 (2019). MSC: 65D32 41A55 33C45 PDFBibTeX XMLCite \textit{D. Lj. Djukić} et al., Appl. Numer. Math. 142, 190--205 (2019; Zbl 1416.65074) Full Text: DOI
Kumar, Sushil; Piret, Cécile Numerical solution of space-time fractional PDEs using RBF-QR and Chebyshev polynomials. (English) Zbl 1419.65082 Appl. Numer. Math. 143, 300-315 (2019). MSC: 65M70 41A50 65D05 35R11 PDFBibTeX XMLCite \textit{S. Kumar} and \textit{C. Piret}, Appl. Numer. Math. 143, 300--315 (2019; Zbl 1419.65082) Full Text: DOI
Zhang, Xiaolong; Boyd, John P. Revisiting the Thomas-Fermi equation: accelerating rational Chebyshev series through coordinate transformations. (English) Zbl 1507.65260 Appl. Numer. Math. 135, 186-205 (2019). MSC: 65N35 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{J. P. Boyd}, Appl. Numer. Math. 135, 186--205 (2019; Zbl 1507.65260) Full Text: DOI
Yang, Changqing Modified Chebyshev collocation method for pantograph-type differential equations. (English) Zbl 1460.65096 Appl. Numer. Math. 134, 132-144 (2018). MSC: 65L60 65L20 PDFBibTeX XMLCite \textit{C. Yang}, Appl. Numer. Math. 134, 132--144 (2018; Zbl 1460.65096) Full Text: DOI
Fakhar-Izadi, Farhad; Dehghan, Mehdi Modal spectral element method in curvilinear domains. (English) Zbl 1393.65034 Appl. Numer. Math. 128, 157-182 (2018). MSC: 65M70 65M06 35L45 65T50 65M12 35Q79 35Q60 35R09 PDFBibTeX XMLCite \textit{F. Fakhar-Izadi} and \textit{M. Dehghan}, Appl. Numer. Math. 128, 157--182 (2018; Zbl 1393.65034) Full Text: DOI
Sun, Xuenan; Liang, Xuezhang Fast and exact \(2d\) image reconstruction based on Hakopian interpolation. (English) Zbl 1372.65335 Appl. Numer. Math. 121, 185-197 (2017). MSC: 65R10 44A12 65D18 PDFBibTeX XMLCite \textit{X. Sun} and \textit{X. Liang}, Appl. Numer. Math. 121, 185--197 (2017; Zbl 1372.65335) Full Text: DOI
Bos, L.; De Marchi, S.; Vianello, M. Polynomial approximation on Lissajous curves in the \(d\)-cube. (English) Zbl 1372.65028 Appl. Numer. Math. 116, 47-56 (2017). MSC: 65D05 41A05 41A63 65D17 41A10 PDFBibTeX XMLCite \textit{L. Bos} et al., Appl. Numer. Math. 116, 47--56 (2017; Zbl 1372.65028) Full Text: DOI
Basto, Mário; Abreu, Teresa; Semiao, Viriato; Calheiros, Francisco L. Convergence and dynamics of structurally identical root finding methods. (English) Zbl 1370.65023 Appl. Numer. Math. 120, 257-269 (2017). MSC: 65H05 PDFBibTeX XMLCite \textit{M. Basto} et al., Appl. Numer. Math. 120, 257--269 (2017; Zbl 1370.65023) Full Text: DOI
Hessari, Peyman; Shin, Byeong-Chun First order system least squares pseudo-spectral method for Stokes-Darcy equations. (English) Zbl 1462.65210 Appl. Numer. Math. 120, 35-52 (2017). MSC: 65N35 76S05 76D07 41A50 42C10 76M22 PDFBibTeX XMLCite \textit{P. Hessari} and \textit{B.-C. Shin}, Appl. Numer. Math. 120, 35--52 (2017; Zbl 1462.65210) Full Text: DOI
Kang, Hongchao; Ma, Junjie Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type. (English) Zbl 1367.65037 Appl. Numer. Math. 118, 277-291 (2017). MSC: 65D32 41A55 65T60 65Q30 PDFBibTeX XMLCite \textit{H. Kang} and \textit{J. Ma}, Appl. Numer. Math. 118, 277--291 (2017; Zbl 1367.65037) Full Text: DOI
Pimenov, V. G.; Hendy, A. S. BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis. (English) Zbl 1367.65102 Appl. Numer. Math. 118, 266-276 (2017). MSC: 65L03 34A08 34K28 65L06 65L70 PDFBibTeX XMLCite \textit{V. G. Pimenov} and \textit{A. S. Hendy}, Appl. Numer. Math. 118, 266--276 (2017; Zbl 1367.65102) Full Text: DOI
Shao, Wenting; Wu, Xionghua; Wang, Cheng Numerical study of an adaptive domain decomposition algorithm based on Chebyshev tau method for solving singular perturbed problems. (English) Zbl 1367.65112 Appl. Numer. Math. 118, 19-32 (2017). MSC: 65L11 34B15 34E15 65L20 PDFBibTeX XMLCite \textit{W. Shao} et al., Appl. Numer. Math. 118, 19--32 (2017; Zbl 1367.65112) Full Text: DOI
Morgado, Maria Luísa; Rebelo, Magda; Ferrás, Luis L.; Ford, Neville J. Numerical solution for diffusion equations with distributed order in time using a Chebyshev collocation method. (English) Zbl 1357.65198 Appl. Numer. Math. 114, 108-123 (2017). MSC: 65M70 35K05 35R11 65M15 PDFBibTeX XMLCite \textit{M. L. Morgado} et al., Appl. Numer. Math. 114, 108--123 (2017; Zbl 1357.65198) Full Text: DOI Link
Majidian, Hassan On the decay rate of Chebyshev coefficients. (English) Zbl 1355.65040 Appl. Numer. Math. 113, 44-53 (2017). MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{H. Majidian}, Appl. Numer. Math. 113, 44--53 (2017; Zbl 1355.65040) Full Text: DOI
Kyncheva, Veselina K.; Yotov, Viktor V.; Ivanov, Stoil I. Convergence of Newton, Halley and Chebyshev iterative methods as methods for simultaneous determination of multiple polynomial zeros. (English) Zbl 1354.65092 Appl. Numer. Math. 112, 146-154 (2017). MSC: 65H04 PDFBibTeX XMLCite \textit{V. K. Kyncheva} et al., Appl. Numer. Math. 112, 146--154 (2017; Zbl 1354.65092) Full Text: DOI
Ma, Heping; Qin, Yonghui; Ou, Qiuli Multidomain Legendre-Galerkin Chebyshev-collocation method for one-dimensional evolution equations with discontinuity. (English) Zbl 1353.65107 Appl. Numer. Math. 111, 246-259 (2017). MSC: 65M70 35K20 65M15 65Y05 35Q51 80A22 PDFBibTeX XMLCite \textit{H. Ma} et al., Appl. Numer. Math. 111, 246--259 (2017; Zbl 1353.65107) Full Text: DOI
Gu, Zhendong; Guo, Xiaojing; Sun, Daochun Series expansion method for weakly singular Volterra integral equations. (English) Zbl 1416.65535 Appl. Numer. Math. 105, 112-123 (2016). MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{Z. Gu} et al., Appl. Numer. Math. 105, 112--123 (2016; Zbl 1416.65535) Full Text: DOI
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
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
Rogava, J.; Tsiklauri, M. Convergence of a semi-discrete scheme for an abstract nonlinear second order evolution equation. (English) Zbl 1302.65139 Appl. Numer. Math. 75, 22-36 (2014). MSC: 65J08 65L06 74H45 74K10 74S20 PDFBibTeX XMLCite \textit{J. Rogava} and \textit{M. Tsiklauri}, Appl. Numer. Math. 75, 22--36 (2014; Zbl 1302.65139) Full Text: DOI
de la Hoz, Francisco; Vadillo, Fernando The solution of two-dimensional advection-diffusion equations via operational matrices. (English) Zbl 1302.65235 Appl. Numer. Math. 72, 172-187 (2013). MSC: 65M70 35K20 65M12 PDFBibTeX XMLCite \textit{F. de la Hoz} and \textit{F. Vadillo}, Appl. Numer. Math. 72, 172--187 (2013; Zbl 1302.65235) Full Text: DOI
Steihaug, Trond; Suleiman, Sara Rate of convergence of higher-order methods. (English) Zbl 1281.65080 Appl. Numer. Math. 67, 230-242 (2013). Reviewer: Yanlai Chen (North Dartmouth) MSC: 65H10 PDFBibTeX XMLCite \textit{T. Steihaug} and \textit{S. Suleiman}, Appl. Numer. Math. 67, 230--242 (2013; Zbl 1281.65080) Full Text: DOI
Philippe, Bernard; Reichel, Lothar On the generation of Krylov subspace bases. (English) Zbl 1253.65049 Appl. Numer. Math. 62, No. 9, 1171-1186 (2012). Reviewer: Michael Jung (Dresden) MSC: 65F10 65F15 65F60 65F35 PDFBibTeX XMLCite \textit{B. Philippe} and \textit{L. Reichel}, Appl. Numer. Math. 62, No. 9, 1171--1186 (2012; Zbl 1253.65049) Full Text: DOI
Amat, S.; Hernández, M. A.; Romero, N. Semilocal convergence of a sixth order iterative method for quadratic equations. (English) Zbl 1387.65049 Appl. Numer. Math. 62, No. 7, 833-841 (2012). MSC: 65J15 PDFBibTeX XMLCite \textit{S. Amat} et al., Appl. Numer. Math. 62, No. 7, 833--841 (2012; Zbl 1387.65049) Full Text: DOI
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo Convolutions and zeros of orthogonal polynomials. (English) Zbl 1216.33018 Appl. Numer. Math. 61, No. 7, 868-878 (2011). MSC: 33C45 PDFBibTeX XMLCite \textit{I. Area} et al., Appl. Numer. Math. 61, No. 7, 868--878 (2011; Zbl 1216.33018) Full Text: DOI
Boyd, John P.; Ong, Jun Rong Exponentially-convergent strategies for defeating the Runge phenomenon for the approximation of non-periodic functions. II: Multi-interval polynomial schemes and multidomain Chebyshev interpolation. (English) Zbl 1366.65009 Appl. Numer. Math. 61, No. 4, 460-472 (2011). MSC: 65D05 41A05 PDFBibTeX XMLCite \textit{J. P. Boyd} and \textit{J. R. Ong}, Appl. Numer. Math. 61, No. 4, 460--472 (2011; Zbl 1366.65009) Full Text: DOI
Li, Jianbing; Wang, Xuesong; Wang, Tao; Xiao, Shunping An improved Levin quadrature method for highly oscillatory integrals. (English) Zbl 1190.65040 Appl. Numer. Math. 60, No. 8, 833-842 (2010). MSC: 65D32 PDFBibTeX XMLCite \textit{J. Li} et al., Appl. Numer. Math. 60, No. 8, 833--842 (2010; Zbl 1190.65040) Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M.; Pranić, Miroslav S. Bounds of the error of Gauss-Turán-type quadratures. II. (English) Zbl 1200.41034 Appl. Numer. Math. 60, No. 1-2, 1-9 (2010). Reviewer: Alla Boikova (Penza) MSC: 41A55 PDFBibTeX XMLCite \textit{G. V. Milovanović} et al., Appl. Numer. Math. 60, No. 1--2, 1--9 (2010; Zbl 1200.41034) Full Text: DOI
Gheorghiu, C. I.; Dragomirescu, Florica-Ioana Spectral methods in linear stability. Applications to thermal convection with variable gravity field. (English) Zbl 1160.76036 Appl. Numer. Math. 59, No. 6, 1290-1302 (2009). MSC: 76M22 76E06 76R10 80A20 PDFBibTeX XMLCite \textit{C. I. Gheorghiu} and \textit{F.-I. Dragomirescu}, Appl. Numer. Math. 59, No. 6, 1290--1302 (2009; Zbl 1160.76036) Full Text: DOI
Seaïd, Mohammed An Eulerian-Lagrangian method for coupled parabolic-hyperbolic equations. (English) Zbl 1160.65048 Appl. Numer. Math. 59, No. 3-4, 754-768 (2009). MSC: 65M25 35M20 65M06 65L06 PDFBibTeX XMLCite \textit{M. Seaïd}, Appl. Numer. Math. 59, No. 3--4, 754--768 (2009; Zbl 1160.65048) Full Text: DOI
Kim, Seonhee; Kim, Sang Dong Preconditioning on high-order element methods using Chebyshev-Gauss-Lobatto nodes. (English) Zbl 1161.65038 Appl. Numer. Math. 59, No. 2, 316-333 (2009). Reviewer: Dietrich Braess (Bochum) MSC: 65F35 65N30 65F10 65N55 PDFBibTeX XMLCite \textit{S. Kim} and \textit{S. D. Kim}, Appl. Numer. Math. 59, No. 2, 316--333 (2009; Zbl 1161.65038) 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
Leriche, E.; Lallemand, P.; Labrosse, G. Stokes eigenmodes in cubic domain: primitive variable and lattice Boltzmann formulations. (English) Zbl 1143.65090 Appl. Numer. Math. 58, No. 7, 935-945 (2008). MSC: 65N25 35P15 35Q30 65N30 PDFBibTeX XMLCite \textit{E. Leriche} et al., Appl. Numer. Math. 58, No. 7, 935--945 (2008; Zbl 1143.65090) Full Text: DOI
Fatone, Lorella; Funaro, Daniele; Yoon, Gang Joon A convergence analysis for the superconsistent Chebyshev method. (English) Zbl 1147.65319 Appl. Numer. Math. 58, No. 1, 88-100 (2007). MSC: 65L10 34B15 65L20 65L60 PDFBibTeX XMLCite \textit{L. Fatone} et al., Appl. Numer. Math. 58, No. 1, 88--100 (2007; Zbl 1147.65319) Full Text: DOI
Bermejo, R.; Carpio, J. An adaptive finite element semi-Lagrangian implicit-explicit Runge-Kutta-Chebyshev method for convection dominated reaction-diffusion problems. (English) Zbl 1128.65073 Appl. Numer. Math. 58, No. 1, 16-39 (2007). MSC: 65M20 35K57 65L06 80A25 PDFBibTeX XMLCite \textit{R. Bermejo} and \textit{J. Carpio}, Appl. Numer. Math. 58, No. 1, 16--39 (2007; Zbl 1128.65073) Full Text: DOI
Meseguer, A.; Mellibovsky, F. On a solenoidal Fourier-Chebyshev spectral method for stability analysis of the Hagen-Poiseuille flow. (English) Zbl 1126.76021 Appl. Numer. Math. 57, No. 8, 920-938 (2007). MSC: 76E05 65M70 76M25 PDFBibTeX XMLCite \textit{A. Meseguer} and \textit{F. Mellibovsky}, Appl. Numer. Math. 57, No. 8, 920--938 (2007; Zbl 1126.76021) Full Text: DOI
Boyd, John P. Rootfinding for a transcendental equation without a first guess: polynomialization of Kepler’s equation through Chebyshev polynomial expansion of the sine. (English) Zbl 1105.65054 Appl. Numer. Math. 57, No. 1, 12-18 (2007). MSC: 65H05 70F15 70-08 PDFBibTeX XMLCite \textit{J. P. Boyd}, Appl. Numer. Math. 57, No. 1, 12--18 (2007; Zbl 1105.65054) Full Text: DOI
Boyd, John P. Computing real roots of a polynomial in Chebyshev series form through subdivision. (English) Zbl 1119.65033 Appl. Numer. Math. 56, No. 8, 1077-1091 (2006). Reviewer: B. Döring (Düsseldorf) MSC: 65H05 12Y05 26C10 PDFBibTeX XMLCite \textit{J. P. Boyd}, Appl. Numer. Math. 56, No. 8, 1077--1091 (2006; Zbl 1119.65033) Full Text: DOI
Maire, Sylvain; De Luigi, Christophe Quasi-Monte Carlo quadratures for multivariate smooth functions. (English) Zbl 1092.65001 Appl. Numer. Math. 56, No. 2, 146-162 (2006). MSC: 65C05 65D32 PDFBibTeX XMLCite \textit{S. Maire} and \textit{C. De Luigi}, Appl. Numer. Math. 56, No. 2, 146--162 (2006; Zbl 1092.65001) Full Text: DOI
Elbarbary, Elsayed M. E.; El-Sayed, Salah M. Higher order pseudospectral differentiation matrices. (English) Zbl 1086.65016 Appl. Numer. Math. 55, No. 4, 425-438 (2005). Reviewer: John Pryce (Swindon) MSC: 65D25 PDFBibTeX XMLCite \textit{E. M. E. Elbarbary} and \textit{S. M. El-Sayed}, Appl. Numer. Math. 55, No. 4, 425--438 (2005; Zbl 1086.65016) Full Text: DOI
Mead, J.; Zubik-Kowal, B. An iterated pseudospectral method for delay partial differential equations. (English) Zbl 1081.65097 Appl. Numer. Math. 55, No. 2, 227-250 (2005). Reviewer: Song Jiang (Beijing) MSC: 65M70 65M15 35R10 65M20 65F35 PDFBibTeX XMLCite \textit{J. Mead} and \textit{B. Zubik-Kowal}, Appl. Numer. Math. 55, No. 2, 227--250 (2005; Zbl 1081.65097) Full Text: DOI
Jokar, Sadegh; Mehri, Bahman The best approximation of some rational functions in uniform norm. (English) Zbl 1077.41006 Appl. Numer. Math. 55, No. 2, 204-214 (2005). Reviewer: D. K. Ugulawa (Tbilisi) MSC: 41A10 41A50 PDFBibTeX XMLCite \textit{S. Jokar} and \textit{B. Mehri}, Appl. Numer. Math. 55, No. 2, 204--214 (2005; Zbl 1077.41006) Full Text: DOI
Dehghan, Mehdi Efficient techniques for the second-order parabolic equation subject to nonlocal specifications. (English) Zbl 1063.65079 Appl. Numer. Math. 52, No. 1, 39-62 (2005). MSC: 65M06 35K05 65M70 65M60 PDFBibTeX XMLCite \textit{M. Dehghan}, Appl. Numer. Math. 52, No. 1, 39--62 (2005; Zbl 1063.65079) Full Text: DOI
Abbasbandy, S.; Fariborzi Araghi, M. A. The use of the stochastic arithmetic to estimate the value of interpolation polynomial with optimal degree. (English) Zbl 1051.41001 Appl. Numer. Math. 50, No. 3-4, 279-290 (2004). Reviewer: László Leindler (Szeged) MSC: 41A05 33C45 PDFBibTeX XMLCite \textit{S. Abbasbandy} and \textit{M. A. Fariborzi Araghi}, Appl. Numer. Math. 50, No. 3--4, 279--290 (2004; Zbl 1051.41001) Full Text: DOI
Funaro, Daniele Superconsistent discretizations of integral type equations. (English) Zbl 1036.65113 Appl. Numer. Math. 48, No. 1, 1-11 (2004). MSC: 65R20 65N38 45E05 PDFBibTeX XMLCite \textit{D. Funaro}, Appl. Numer. Math. 48, No. 1, 1--11 (2004; Zbl 1036.65113) Full Text: DOI
Barrio, R.; Peña, J. M. Numerical evaluation of the \(p\)th derivative of Jacobi series. (English) Zbl 1018.65031 Appl. Numer. Math. 43, No. 4, 335-357 (2002). Reviewer: C.L.Koul (Jaipur) MSC: 65D25 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{R. Barrio} and \textit{J. M. Peña}, Appl. Numer. Math. 43, No. 4, 335--357 (2002; Zbl 1018.65031) Full Text: DOI
Fröhner, Anja; Roos, Hans-Görg The \(\varepsilon\)-uniform convergence of a defect correction method on a Shishkin mesh. (English) Zbl 0978.65069 Appl. Numer. Math. 37, No. 1-2, 79-94 (2001). Reviewer: Vladimir L.Makarov (Kyïv) MSC: 65L20 65L10 65L50 65L12 34B15 PDFBibTeX XMLCite \textit{A. Fröhner} and \textit{H.-G. Roos}, Appl. Numer. Math. 37, No. 1--2, 79--94 (2001; Zbl 0978.65069) Full Text: DOI
Zubik-Kowal, Barbara Chebyshev pseudospectral method and waveform relaxation for differential and differential-functional parabolic equations. (English) Zbl 0948.65102 Appl. Numer. Math. 34, No. 2-3, 309-328 (2000). Reviewer: E.Emmrich (Berlin) MSC: 65M70 65M15 65M12 35R10 65M06 35K15 PDFBibTeX XMLCite \textit{B. Zubik-Kowal}, Appl. Numer. Math. 34, No. 2--3, 309--328 (2000; Zbl 0948.65102) Full Text: DOI
Jackiewicz, Z.; Renaut, R. A. Diagonally implicit multistage integration methods for pseudospectral solutions of the wave equation. (English) Zbl 0958.65103 Appl. Numer. Math. 34, No. 2-3, 219-229 (2000). Reviewer: Gerald W.Hedstrom (Pleasanton) MSC: 65M70 35L05 65M12 PDFBibTeX XMLCite \textit{Z. Jackiewicz} and \textit{R. A. Renaut}, Appl. Numer. Math. 34, No. 2--3, 219--229 (2000; Zbl 0958.65103) Full Text: DOI
Shen, Jie; Wang, Feng; Xu, Jinchao A finite element multigrid preconditioner for Chebyshev-collocation methods. (English) Zbl 0964.65133 Appl. Numer. Math. 33, No. 1-4, 471-477 (2000). MSC: 65N35 65N30 65F10 65F35 35J25 65N55 PDFBibTeX XMLCite \textit{J. Shen} et al., Appl. Numer. Math. 33, No. 1--4, 471--477 (2000; Zbl 0964.65133) Full Text: DOI
Yang, B.; Hesthaven, J. S. Multidomain pseudospectral computation of Maxwell’s equations in 3-D general curvilinear coordinates. (English) Zbl 0973.78006 Appl. Numer. Math. 33, No. 1-4, 281-289 (2000). MSC: 78A25 78M25 PDFBibTeX XMLCite \textit{B. Yang} and \textit{J. S. Hesthaven}, Appl. Numer. Math. 33, No. 1--4, 281--289 (2000; Zbl 0973.78006) Full Text: DOI
Louchart, Olivier; Randriamampianina, Anthony A spectral iterative domain decomposition technique for the incompressible Navier-Stokes equations. (English) Zbl 0994.76075 Appl. Numer. Math. 33, No. 1-4, 233-240 (2000). MSC: 76M22 76D05 80A20 PDFBibTeX XMLCite \textit{O. Louchart} and \textit{A. Randriamampianina}, Appl. Numer. Math. 33, No. 1--4, 233--240 (2000; Zbl 0994.76075) Full Text: DOI
Forestier, M. Y.; Pasquetti, R.; Peyret, R.; Sabbah, C. Spatial development of wakes using a spectral multi-domain method. (English) Zbl 0994.76073 Appl. Numer. Math. 33, No. 1-4, 207-216 (2000). MSC: 76M22 76D25 76D50 80A20 PDFBibTeX XMLCite \textit{M. Y. Forestier} et al., Appl. Numer. Math. 33, No. 1--4, 207--216 (2000; Zbl 0994.76073) Full Text: DOI
Shen, Jie A new fast Chebyshev-Fourier algorithm for Poisson-type equations in polar geometries. (English) Zbl 0967.65108 Appl. Numer. Math. 33, No. 1-4, 183-190 (2000). MSC: 65N35 35J25 PDFBibTeX XMLCite \textit{J. Shen}, Appl. Numer. Math. 33, No. 1--4, 183--190 (2000; Zbl 0967.65108) Full Text: DOI
Lynov, J. P.; Bergeron, K.; Coutsias, E. A.; Nielsen, A. H. An accurate and efficient spectral method for studies of the dynamical properties of forced, circular shear layers. (English) Zbl 0994.76076 Appl. Numer. Math. 33, No. 1-4, 175-181 (2000). MSC: 76M22 76U05 76D17 PDFBibTeX XMLCite \textit{J. P. Lynov} et al., Appl. Numer. Math. 33, No. 1--4, 175--181 (2000; Zbl 0994.76076) Full Text: DOI
Herrero, H.; Mancho, A. M. Numerical modeling in Chebyshev collocation methods applied to stability analysis of convection problems. (English) Zbl 0964.65111 Appl. Numer. Math. 33, No. 1-4, 161-166 (2000). MSC: 65M70 35B32 65M06 65M12 35K55 PDFBibTeX XMLCite \textit{H. Herrero} and \textit{A. M. Mancho}, Appl. Numer. Math. 33, No. 1--4, 161--166 (2000; Zbl 0964.65111) Full Text: DOI
Costa, Bruno; Don, Wai Sun On the computation of high order pseudospectral derivatives. (English) Zbl 0964.65020 Appl. Numer. Math. 33, No. 1-4, 151-159 (2000). MSC: 65D25 65M70 65N35 PDFBibTeX XMLCite \textit{B. Costa} and \textit{W. S. Don}, Appl. Numer. Math. 33, No. 1--4, 151--159 (2000; Zbl 0964.65020) Full Text: DOI
Abril-Raymundo, M. R.; García-Archilla, B. Approximation properties of a mapped Chebyshev method. (English) Zbl 0973.65086 Appl. Numer. Math. 32, No. 2, 119-136 (2000). Reviewer: W.Heinrichs (Essen) MSC: 65M70 65M15 35L45 PDFBibTeX XMLCite \textit{M. R. Abril-Raymundo} and \textit{B. García-Archilla}, Appl. Numer. Math. 32, No. 2, 119--136 (2000; Zbl 0973.65086) Full Text: DOI
Abbasian, Reza O.; Carey, Graham F. Hybrid MPE-iterative schemes for linear and nonlinear systems. (English) Zbl 0896.65039 Appl. Numer. Math. 26, No. 3, 277-291 (1998). Reviewer: I.Coroian (Baia Mare) MSC: 65H10 65Y20 65N06 65F10 35J65 PDFBibTeX XMLCite \textit{R. O. Abbasian} and \textit{G. F. Carey}, Appl. Numer. Math. 26, No. 3, 277--291 (1998; Zbl 0896.65039) Full Text: DOI
van der Houwen, P. J.; Sommeijer, B. P. Euler-Chebyshev methods for integro-differential equations. (English) Zbl 0881.65141 Appl. Numer. Math. 24, No. 2-3, 203-218 (1997). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45G10 45J05 PDFBibTeX XMLCite \textit{P. J. van der Houwen} and \textit{B. P. Sommeijer}, Appl. Numer. Math. 24, No. 2--3, 203--218 (1997; Zbl 0881.65141) Full Text: DOI
Douak, K.; Maroni, P. On \(d\)-orthogonal Tchebychev polynomials. I. (English) Zbl 0881.33024 Appl. Numer. Math. 24, No. 1, 23-53 (1997). Reviewer: J.P.Singhal (Baroda) MSC: 33D45 PDFBibTeX XMLCite \textit{K. Douak} and \textit{P. Maroni}, Appl. Numer. Math. 24, No. 1, 23--53 (1997; Zbl 0881.33024) Full Text: DOI
Evans, G. A.; Webster, J. R. A high order, progressive method for the evaluation of irregular oscillatory integrals. (English) Zbl 0906.65024 Appl. Numer. Math. 23, No. 2, 205-218 (1997). Reviewer: W.E.Smith (Kensington) MSC: 65D32 42A16 65T40 41A55 PDFBibTeX XMLCite \textit{G. A. Evans} and \textit{J. R. Webster}, Appl. Numer. Math. 23, No. 2, 205--218 (1997; Zbl 0906.65024) Full Text: DOI
Dongarra, J. J.; Straughan, B.; Walker, D. W. Chebyshev tau-QZ algorithm methods for calculating spectra of hydrodynamic stability problems. (English) Zbl 0867.76025 Appl. Numer. Math. 22, No. 4, 399-434 (1996). Reviewer: V.Burjan (Praha) MSC: 76E05 65L15 PDFBibTeX XMLCite \textit{J. J. Dongarra} et al., Appl. Numer. Math. 22, No. 4, 399--434 (1996; Zbl 0867.76025) Full Text: DOI
Elnagar, Gamal N.; Kazemi, M. A. A cell-averaging Chebyshev spectral method for the controlled Duffing oscillator. (English) Zbl 0840.65060 Appl. Numer. Math. 18, No. 4, 461-471 (1995). Reviewer: G.S.Stavrakakis (Chania) MSC: 65K10 49J15 49M37 PDFBibTeX XMLCite \textit{G. N. Elnagar} and \textit{M. A. Kazemi}, Appl. Numer. Math. 18, No. 4, 461--471 (1995; Zbl 0840.65060) Full Text: DOI
Zuur, E. A. H. Time-step sequences for parabolic differential equations. (English) Zbl 0827.65092 Appl. Numer. Math. 17, No. 2, 173-186 (1995). Reviewer: K.Najzar (Praha) MSC: 65M20 65M50 65L05 35K15 34E13 34A30 PDFBibTeX XMLCite \textit{E. A. H. Zuur}, Appl. Numer. Math. 17, No. 2, 173--186 (1995; Zbl 0827.65092) Full Text: DOI
Bwemba, R.; Pasquetti, R. On the influence matrix used in the spectral solution of the 2D Stokes problem (vorticity-stream function formulation). (English) Zbl 0818.76064 Appl. Numer. Math. 16, No. 3, 299-315 (1995). MSC: 76M25 76D07 65M70 PDFBibTeX XMLCite \textit{R. Bwemba} and \textit{R. Pasquetti}, Appl. Numer. Math. 16, No. 3, 299--315 (1995; Zbl 0818.76064) Full Text: DOI
Kincaid, David R. Stationary second-degree iterative methods. (English) Zbl 0814.65032 Appl. Numer. Math. 16, No. 1-2, 227-237 (1994). Reviewer: A.Bultheel (Leuven) MSC: 65F10 PDFBibTeX XMLCite \textit{D. R. Kincaid}, Appl. Numer. Math. 16, No. 1--2, 227--237 (1994; Zbl 0814.65032) Full Text: DOI
Macleod, Allan J. Chebyshev expansions for Abramowitz functions. (English) Zbl 0755.65020 Appl. Numer. Math. 10, No. 2, 129-137 (1992). Reviewer: L.Gatteschi (Torino) MSC: 65D20 41A10 33E20 PDFBibTeX XMLCite \textit{A. J. Macleod}, Appl. Numer. Math. 10, No. 2, 129--137 (1992; Zbl 0755.65020) Full Text: DOI
Young, David M.; Vona, Bi Roubolo On the use of rational iterative methods for solving large sparse linear systems. (English) Zbl 0756.65051 Appl. Numer. Math. 10, No. 3-4, 261-278 (1992). Reviewer: G.Jumarie (Montreal) MSC: 65F10 65F50 65N22 35J25 65N12 PDFBibTeX XMLCite \textit{D. M. Young} and \textit{B. R. Vona}, Appl. Numer. Math. 10, No. 3--4, 261--278 (1992; Zbl 0756.65051) Full Text: DOI
Varga, Richard S. How high-precision calculations can stimulate mathematical research. (English) Zbl 0758.65001 Appl. Numer. Math. 10, No. 3-4, 177-193 (1992). Reviewer: W.Govaerts (Gent) MSC: 65-03 41A20 65D15 41-03 01A60 41A50 PDFBibTeX XMLCite \textit{R. S. Varga}, Appl. Numer. Math. 10, No. 3--4, 177--193 (1992; Zbl 0758.65001) Full Text: DOI