Cai, Zhenning; Lin, Bo; Lin, Meixia A positive and moment-preserving Fourier spectral method. (English) Zbl 07805453 SIAM J. Numer. Anal. 62, No. 1, 273-294 (2024). MSC: 65T40 65N35 90C25 PDFBibTeX XMLCite \textit{Z. Cai} et al., SIAM J. Numer. Anal. 62, No. 1, 273--294 (2024; Zbl 07805453) Full Text: DOI arXiv
Agocs, Fruzsina J.; Barnett, Alex H. An adaptive spectral method for oscillatory second-order linear ODEs with frequency-independent cost. (English) Zbl 07805451 SIAM J. Numer. Anal. 62, No. 1, 295-321 (2024). MSC: 65L60 34E05 PDFBibTeX XMLCite \textit{F. J. Agocs} and \textit{A. H. Barnett}, SIAM J. Numer. Anal. 62, No. 1, 295--321 (2024; Zbl 07805451) Full Text: DOI arXiv
Bao, Weizhu; Wang, Chushan Optimal error bounds on the exponential wave integrator for the nonlinear Schrödinger equation with low regularity potential and nonlinearity. (English) Zbl 07794524 SIAM J. Numer. Anal. 62, No. 1, 93-118 (2024). MSC: 35Q55 35Q41 35S30 81Q05 65M70 65M15 35B65 PDFBibTeX XMLCite \textit{W. Bao} and \textit{C. Wang}, SIAM J. Numer. Anal. 62, No. 1, 93--118 (2024; Zbl 07794524) Full Text: DOI arXiv
Antil, Harbir; Dondl, Patrick W.; Striet, Ludwig Analysis of a sinc-Galerkin method for the fractional Laplacian. (English) Zbl 07778897 SIAM J. Numer. Anal. 61, No. 6, 2967-2993 (2023). MSC: 65N30 65N35 65N12 65N15 41A25 26A33 35R11 PDFBibTeX XMLCite \textit{H. Antil} et al., SIAM J. Numer. Anal. 61, No. 6, 2967--2993 (2023; Zbl 07778897) Full Text: DOI arXiv
Li, Buyang; Lin, Yanping; Ma, Shu; Rao, Qiqi An exponential spectral method using VP means for semilinear subdiffusion equations with rough data. (English) Zbl 07754853 SIAM J. Numer. Anal. 61, No. 5, 2305-2326 (2023). MSC: 65M70 65M06 65N35 65D30 65D32 65M12 65M15 35K55 33C45 26A33 35R11 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 61, No. 5, 2305--2326 (2023; Zbl 07754853) Full Text: DOI
Bessemoulin-Chatard, Marianne; Filbet, Francis On the convergence of discontinuous Galerkin/Hermite spectral methods for the Vlasov-Poisson system. (English) Zbl 1519.65043 SIAM J. Numer. Anal. 61, No. 4, 1664-1688 (2023). Reviewer: Bülent Karasözen (Ankara) MSC: 65M70 65N35 65N12 65N15 82C40 82D10 35A01 35A02 35R09 33C45 35Q60 35Q83 PDFBibTeX XMLCite \textit{M. Bessemoulin-Chatard} and \textit{F. Filbet}, SIAM J. Numer. Anal. 61, No. 4, 1664--1688 (2023; Zbl 1519.65043) Full Text: DOI arXiv
Chen, Meng; Cheung, Ka Chun; Ling, Leevan A kernel-based least-squares collocation method for surface diffusion. (English) Zbl 07695663 SIAM J. Numer. Anal. 61, No. 3, 1386-1404 (2023). MSC: 65N35 65N40 65N30 65D12 65N12 41A63 PDFBibTeX XMLCite \textit{M. Chen} et al., SIAM J. Numer. Anal. 61, No. 3, 1386--1404 (2023; Zbl 07695663) Full Text: DOI arXiv
Li, Hao; Appelö, Daniel; Zhang, Xiangxiong Accuracy of spectral element method for wave, parabolic, and Schrödinger equations. (English) Zbl 1525.65094 SIAM J. Numer. Anal. 60, No. 1, 339-363 (2022). Reviewer: Murli Gupta (Washington, D.C.) MSC: 65M60 65M70 65M06 65N30 65N35 65M12 65M15 65D32 35B65 35K10 35L05 35Q41 PDFBibTeX XMLCite \textit{H. Li} et al., SIAM J. Numer. Anal. 60, No. 1, 339--363 (2022; Zbl 1525.65094) Full Text: DOI arXiv
Lai, Ming-Jun; Lee, Jinsil A multivariate spline based collocation method for numerical solution of partial differential equations. (English) Zbl 1497.65245 SIAM J. Numer. Anal. 60, No. 5, 2405-2434 (2022). MSC: 65N35 65D07 65N12 35J05 35J15 35D35 PDFBibTeX XMLCite \textit{M.-J. Lai} and \textit{J. Lee}, SIAM J. Numer. Anal. 60, No. 5, 2405--2434 (2022; Zbl 1497.65245) Full Text: DOI arXiv
Connors, Jeffrey M.; Sockwell, Kenneth C. A multirate discontinuous-Galerkin-in-time framework for interface-coupled problems. (English) Zbl 1507.65179 SIAM J. Numer. Anal. 60, No. 5, 2373-2404 (2022). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65M60 65M06 65M20 65N30 35K10 65L60 34D20 65M12 PDFBibTeX XMLCite \textit{J. M. Connors} and \textit{K. C. Sockwell}, SIAM J. Numer. Anal. 60, No. 5, 2373--2404 (2022; Zbl 1507.65179) Full Text: DOI arXiv
Li, Buyang; Ma, Shu; Schratz, Katharina A semi-implicit exponential low-regularity integrator for the Navier-Stokes equations. (English) Zbl 1503.65237 SIAM J. Numer. Anal. 60, No. 4, 2273-2292 (2022). Reviewer: Lijun Yi (Shanghai) MSC: 65M60 65M06 65N30 65N35 65M12 65M15 76D05 PDFBibTeX XMLCite \textit{B. Li} et al., SIAM J. Numer. Anal. 60, No. 4, 2273--2292 (2022; Zbl 1503.65237) Full Text: DOI arXiv
Duru, Kenneth; Wang, Siyang; Wiratama, Kenny A conservative and energy stable discontinuous spectral element method for the shifted wave equation in second order form. (English) Zbl 1492.65280 SIAM J. Numer. Anal. 60, No. 4, 1631-1664 (2022). MSC: 65M70 65M06 65N35 65N30 65M12 65M15 83C05 76Q05 PDFBibTeX XMLCite \textit{K. Duru} et al., SIAM J. Numer. Anal. 60, No. 4, 1631--1664 (2022; Zbl 1492.65280) Full Text: DOI arXiv
Huang, Fukeng; Shen, Jie Stability and error analysis of a class of high-order IMEX schemes for Navier-Stokes equations with periodic boundary conditions. (English) Zbl 1496.65180 SIAM J. Numer. Anal. 59, No. 6, 2926-2954 (2021). Reviewer: Dana Černá (Liberec) MSC: 65M70 65M06 65N35 65M15 76D05 76M22 76M20 PDFBibTeX XMLCite \textit{F. Huang} and \textit{J. Shen}, SIAM J. Numer. Anal. 59, No. 6, 2926--2954 (2021; Zbl 1496.65180) Full Text: DOI arXiv
Appleton, Jay Miles; Helenbrook, Brian T. A high-order lower-triangular pseudo-mass matrix for explicit time advancement of \(hp\) triangular finite element methods. (English) Zbl 1486.65161 SIAM J. Numer. Anal. 59, No. 3, 1618-1638 (2021). Reviewer: Konstantinos Chrysafinos (Athens) MSC: 65M60 65N35 65D30 65M20 65N40 PDFBibTeX XMLCite \textit{J. M. Appleton} and \textit{B. T. Helenbrook}, SIAM J. Numer. Anal. 59, No. 3, 1618--1638 (2021; Zbl 1486.65161) Full Text: DOI arXiv
Feng, Xiaobing; Li, Buyang; Ma, Shu High-order mass- and energy-conserving SAV-Gauss collocation finite element methods for the nonlinear Schrödinger equation. (English) Zbl 1477.65254 SIAM J. Numer. Anal. 59, No. 3, 1566-1591 (2021). MSC: 65N35 65N30 65N12 65N15 65N50 35C08 35A01 35A02 35Q55 PDFBibTeX XMLCite \textit{X. Feng} et al., SIAM J. Numer. Anal. 59, No. 3, 1566--1591 (2021; Zbl 1477.65254) Full Text: DOI arXiv
Hu, Jingwei; Qi, Kunlun; Yang, Tong A new stability and convergence proof of the Fourier-Galerkin spectral method for the spatially homogeneous Boltzmann equation. (English) Zbl 1462.35235 SIAM J. Numer. Anal. 59, No. 2, 613-633 (2021). MSC: 35Q20 65M12 65M70 45G10 76P05 82C40 35A01 35A02 PDFBibTeX XMLCite \textit{J. Hu} et al., SIAM J. Numer. Anal. 59, No. 2, 613--633 (2021; Zbl 1462.35235) Full Text: DOI arXiv
Zheng, Xiangcheng; Wang, Hong An error estimate of a numerical approximation to a hidden-memory variable-order space-time fractional diffusion equation. (English) Zbl 1450.65135 SIAM J. Numer. Anal. 58, No. 5, 2492-2514 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M70 65M15 35S10 35K20 35R11 26A33 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, SIAM J. Numer. Anal. 58, No. 5, 2492--2514 (2020; Zbl 1450.65135) Full Text: DOI
García-Archilla, Bosco; Novo, Julia; Titi, Edriss S. Uniform in time error estimates for a finite element method applied to a downscaling data assimilation algorithm for the Navier-Stokes equations. (English) Zbl 1448.65157 SIAM J. Numer. Anal. 58, No. 1, 410-429 (2020). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 65M60 65M12 35Q30 65M15 65M20 76B75 65N30 65M70 PDFBibTeX XMLCite \textit{B. García-Archilla} et al., SIAM J. Numer. Anal. 58, No. 1, 410--429 (2020; Zbl 1448.65157) Full Text: DOI arXiv
Zheng, Xiangcheng; Wang, Hong An optimal-order numerical approximation to variable-order space-fractional diffusion equations on uniform or graded meshes. (English) Zbl 1429.65168 SIAM J. Numer. Anal. 58, No. 1, 330-352 (2020). MSC: 65L20 35S15 65L10 65L60 65R20 PDFBibTeX XMLCite \textit{X. Zheng} and \textit{H. Wang}, SIAM J. Numer. Anal. 58, No. 1, 330--352 (2020; Zbl 1429.65168) Full Text: DOI
Egger, Herbert; Schlottbom, Matthias A perfectly matched layer approach for \(P_N\)-approximations in radiative transfer. (English) Zbl 1428.65062 SIAM J. Numer. Anal. 57, No. 5, 2166-2188 (2019). MSC: 65N12 65N15 65N30 65N35 78A45 78M30 78M10 78A40 PDFBibTeX XMLCite \textit{H. Egger} and \textit{M. Schlottbom}, SIAM J. Numer. Anal. 57, No. 5, 2166--2188 (2019; Zbl 1428.65062) Full Text: DOI arXiv
Poetzsche, Christian Numerical dynamics of integrodifference equations: global attractivity in a \(C^0\)-setting. (English) Zbl 1429.45004 SIAM J. Numer. Anal. 57, No. 5, 2121-2141 (2019). Reviewer: Alexander N. Tynda (Penza) MSC: 45J99 65R20 45G15 65P40 37C55 PDFBibTeX XMLCite \textit{C. Poetzsche}, SIAM J. Numer. Anal. 57, No. 5, 2121--2141 (2019; Zbl 1429.45004) Full Text: DOI
Gopal, Abinand; Trefethen, Lloyd N. Solving Laplace problems with corner singularities via rational functions. (English) Zbl 1431.65223 SIAM J. Numer. Anal. 57, No. 5, 2074-2094 (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 65N35 41A20 65E05 35J05 65N80 PDFBibTeX XMLCite \textit{A. Gopal} and \textit{L. N. Trefethen}, SIAM J. Numer. Anal. 57, No. 5, 2074--2094 (2019; Zbl 1431.65223) Full Text: DOI arXiv
Cai, Yongyong; Wang, Yan Uniformly accurate nested Picard iterative integrators for the Dirac equation in the nonrelativistic limit regime. (English) Zbl 1421.35307 SIAM J. Numer. Anal. 57, No. 4, 1602-1624 (2019). MSC: 35Q41 65M70 65N35 81Q05 PDFBibTeX XMLCite \textit{Y. Cai} and \textit{Y. Wang}, SIAM J. Numer. Anal. 57, No. 4, 1602--1624 (2019; Zbl 1421.35307) Full Text: DOI
Wang, Wansheng; Chen, Yingzi; Fang, Hua On the variable two-step IMEX BDF method for parabolic integro-differential equations with nonsmooth initial data arising in finance. (English) Zbl 1422.65189 SIAM J. Numer. Anal. 57, No. 3, 1289-1317 (2019). MSC: 65M06 65M55 65L60 91B25 91G60 65J10 65M12 35R09 45K05 65M50 PDFBibTeX XMLCite \textit{W. Wang} et al., SIAM J. Numer. Anal. 57, No. 3, 1289--1317 (2019; Zbl 1422.65189) Full Text: DOI
Guignard, Diane; Nobile, Fabio A posteriori error estimation for the stochastic collocation finite element method. (English) Zbl 1402.65159 SIAM J. Numer. Anal. 56, No. 5, 3121-3143 (2018). MSC: 65N30 65C30 60H15 65N15 PDFBibTeX XMLCite \textit{D. Guignard} and \textit{F. Nobile}, SIAM J. Numer. Anal. 56, No. 5, 3121--3143 (2018; Zbl 1402.65159) Full Text: DOI
Cheung, Ka Chun; Ling, Leevan; Schaback, Robert \(H^2\)-convergence of least-squares kernel collocation methods. (English) Zbl 1436.65020 SIAM J. Numer. Anal. 56, No. 1, 614-633 (2018). Reviewer: Martin D. Buhmann (Gießen) MSC: 65D15 65D12 65N35 41A63 PDFBibTeX XMLCite \textit{K. C. Cheung} et al., SIAM J. Numer. Anal. 56, No. 1, 614--633 (2018; Zbl 1436.65020) Full Text: DOI arXiv
Mondaini, Cecilia F.; Titi, Edriss S. Uniform-in-time error estimates for the postprocessing Galerkin method applied to a data assimilation algorithm. (English) Zbl 1384.35067 SIAM J. Numer. Anal. 56, No. 1, 78-110 (2018). Reviewer: Piotr Biler (Wrocław) MSC: 35Q30 76B75 37L65 65M15 65M60 65M70 93C20 93B52 PDFBibTeX XMLCite \textit{C. F. Mondaini} and \textit{E. S. Titi}, SIAM J. Numer. Anal. 56, No. 1, 78--110 (2018; Zbl 1384.35067) Full Text: DOI
Mao, Zhiping; Karniadakis, George Em A spectral method (of exponential convergence) for singular solutions of the diffusion equation with general two-sided fractional derivative. (English) Zbl 1422.65428 SIAM J. Numer. Anal. 56, No. 1, 24-49 (2018). MSC: 65N35 65E05 65M70 41A05 41A10 41A25 PDFBibTeX XMLCite \textit{Z. Mao} and \textit{G. E. Karniadakis}, SIAM J. Numer. Anal. 56, No. 1, 24--49 (2018; Zbl 1422.65428) Full Text: DOI
Manzini, G.; Funaro, D.; Delzanno, G. L. Convergence of spectral discretizations of the Vlasov-Poisson system. (English) Zbl 1375.65118 SIAM J. Numer. Anal. 55, No. 5, 2312-2335 (2017). MSC: 65M12 35Q83 65M70 65M15 PDFBibTeX XMLCite \textit{G. Manzini} et al., SIAM J. Numer. Anal. 55, No. 5, 2312--2335 (2017; Zbl 1375.65118) Full Text: DOI arXiv
Ainsworth, Mark; Mao, Zhiping Analysis and approximation of a fractional Cahn-Hilliard equation. (English) Zbl 1369.65124 SIAM J. Numer. Anal. 55, No. 4, 1689-1718 (2017). MSC: 65M70 35Q35 35R11 65M12 65M15 65M20 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{Z. Mao}, SIAM J. Numer. Anal. 55, No. 4, 1689--1718 (2017; Zbl 1369.65124) Full Text: DOI
Besse, C.; Dujardin, G.; Lacroix-Violet, I. High order exponential integrators for nonlinear Schrödinger equations with application to rotating Bose-Einstein condensates. (English) Zbl 1371.35235 SIAM J. Numer. Anal. 55, No. 3, 1387-1411 (2017). Reviewer: Eric Stachura (Haverford) MSC: 35Q41 81Q05 65M70 82D50 65L06 PDFBibTeX XMLCite \textit{C. Besse} et al., SIAM J. Numer. Anal. 55, No. 3, 1387--1411 (2017; Zbl 1371.35235) Full Text: DOI arXiv
Bruno, Oscar P.; Cubillos, Max On the quasi-unconditional stability of BDF-ADI solvers for the compressible Navier-Stokes equations and related linear problems. (English) Zbl 1362.65093 SIAM J. Numer. Anal. 55, No. 2, 892-922 (2017). MSC: 65M12 65M20 65M70 PDFBibTeX XMLCite \textit{O. P. Bruno} and \textit{M. Cubillos}, SIAM J. Numer. Anal. 55, No. 2, 892--922 (2017; Zbl 1362.65093) Full Text: DOI arXiv
Feng, Xiaobing; Jensen, Max Convergent semi-Lagrangian methods for the Monge-Ampère equation on unstructured grids. (English) Zbl 1362.65117 SIAM J. Numer. Anal. 55, No. 2, 691-712 (2017). MSC: 65N06 65N12 65N35 35J60 PDFBibTeX XMLCite \textit{X. Feng} and \textit{M. Jensen}, SIAM J. Numer. Anal. 55, No. 2, 691--712 (2017; Zbl 1362.65117) Full Text: DOI arXiv
Bao, Weizhu; Cai, Yongyong; Jia, Xiaowei; Tang, Qinglin A uniformly accurate multiscale time integrator pseudospectral method for the Dirac equation in the nonrelativistic limit regime. (English) Zbl 1346.35171 SIAM J. Numer. Anal. 54, No. 3, 1785-1812 (2016). Reviewer: Alain Brillard (Riedisheim) MSC: 35Q41 65M70 65N35 81Q05 65M15 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Numer. Anal. 54, No. 3, 1785--1812 (2016; Zbl 1346.35171) Full Text: DOI arXiv
Discacciati, Marco; Gervasio, Paola; Giacomini, Alessandro; Quarteroni, Alfio The interface control domain decomposition method for Stokes-Darcy coupling. (English) Zbl 1337.49056 SIAM J. Numer. Anal. 54, No. 2, 1039-1068 (2016). Reviewer: Bülent Karasözen (Ankara) MSC: 49M27 49K20 65N55 65N30 65N35 76D07 76S05 PDFBibTeX XMLCite \textit{M. Discacciati} et al., SIAM J. Numer. Anal. 54, No. 2, 1039--1068 (2016; Zbl 1337.49056) Full Text: DOI
Maset, S. The collocation method in the numerical solution of boundary value problems for neutral functional differential equations. II: Differential equations with deviating arguments. (English) Zbl 1330.65123 SIAM J. Numer. Anal. 53, No. 6, 2794-2821 (2015). MSC: 65L60 65L03 65L10 34K10 34K40 34K28 PDFBibTeX XMLCite \textit{S. Maset}, SIAM J. Numer. Anal. 53, No. 6, 2794--2821 (2015; Zbl 1330.65123) Full Text: DOI
Maset, S. The collocation method in the numerical solution of boundary value problems for neutral functional differential equations. I: Convergence results. (English) Zbl 1330.65122 SIAM J. Numer. Anal. 53, No. 6, 2771-2793 (2015). MSC: 65L60 65L03 65L10 34K10 34K40 34K28 PDFBibTeX XMLCite \textit{S. Maset}, SIAM J. Numer. Anal. 53, No. 6, 2771--2793 (2015; Zbl 1330.65122) Full Text: DOI
Zhang, Zhongqiang; Tretyakov, Michael V.; Rozovskii, Boris; Karniadakis, George E. Wiener chaos versus stochastic collocation methods for linear advection-diffusion-reaction equations with multiplicative white noise. (English) Zbl 1327.60133 SIAM J. Numer. Anal. 53, No. 1, 153-183 (2015). MSC: 60H35 60H15 35R60 65C30 60H40 PDFBibTeX XMLCite \textit{Z. Zhang} et al., SIAM J. Numer. Anal. 53, No. 1, 153--183 (2015; Zbl 1327.60133) Full Text: DOI arXiv Link
Dutta, Rajib; Koley, Ujjwal; Risebro, Nils Henrik Convergence of a higher order scheme for the Korteweg-de Vries equation. (English) Zbl 1342.35301 SIAM J. Numer. Anal. 53, No. 4, 1963-1983 (2015). Reviewer: Dmitry Shepelsky (Kharkov) MSC: 35Q53 35D30 65L60 65N30 35C08 PDFBibTeX XMLCite \textit{R. Dutta} et al., SIAM J. Numer. Anal. 53, No. 4, 1963--1983 (2015; Zbl 1342.35301) Full Text: DOI arXiv
Hessari, Peyman Pseudospectral least squares method for Stokes-Darcy equations. (English) Zbl 1312.76046 SIAM J. Numer. Anal. 53, No. 3, 1195-1213 (2015). MSC: 76M22 76D05 65F10 65M30 65M70 35Q30 PDFBibTeX XMLCite \textit{P. Hessari}, SIAM J. Numer. Anal. 53, No. 3, 1195--1213 (2015; Zbl 1312.76046) Full Text: DOI
Bao, Weizhu; Cai, Yongyong Uniform and optimal error estimates of an exponential wave integrator sine pseudospectral method for the nonlinear Schrödinger equation with wave operator. (English) Zbl 1339.35279 SIAM J. Numer. Anal. 52, No. 3, 1103-1127 (2014). Reviewer: Yvan Martel (Palaiseau) MSC: 35Q55 65M12 65M15 65M70 81-08 PDFBibTeX XMLCite \textit{W. Bao} and \textit{Y. Cai}, SIAM J. Numer. Anal. 52, No. 3, 1103--1127 (2014; Zbl 1339.35279) Full Text: DOI arXiv
Fasondini, M.; Schoombie, S. W. Spurious resonance in semidiscrete methods for the Korteweg-de Vries equation. (English) Zbl 1342.35302 SIAM J. Numer. Anal. 52, No. 6, 2863-2882 (2014). MSC: 35Q53 34E13 65M06 65M70 65M20 65L07 PDFBibTeX XMLCite \textit{M. Fasondini} and \textit{S. W. Schoombie}, SIAM J. Numer. Anal. 52, No. 6, 2863--2882 (2014; Zbl 1342.35302) Full Text: DOI
Zeng, Fanhai; Liu, Fawang; Li, Changpin; Burrage, Kevin; Turner, Ian; Anh, V. A Crank-Nicolson ADI spectral method for a two-dimensional Riesz space fractional nonlinear reaction-diffusion equation. (English) Zbl 1382.65349 SIAM J. Numer. Anal. 52, No. 6, 2599-2622 (2014). MSC: 65M70 35R11 65M12 65M15 35K57 PDFBibTeX XMLCite \textit{F. Zeng} et al., SIAM J. Numer. Anal. 52, No. 6, 2599--2622 (2014; Zbl 1382.65349) Full Text: DOI Link
Bao, Weizhu; Cai, Yongyong; Zhao, Xiaofei A uniformly accurate multiscale time integrator pseudospectral method for the Klein-Gordon equation in the nonrelativistic limit regime. (English) Zbl 1310.65131 SIAM J. Numer. Anal. 52, No. 5, 2488-2511 (2014). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 65M12 65M15 81Q05 35Q40 35Q55 PDFBibTeX XMLCite \textit{W. Bao} et al., SIAM J. Numer. Anal. 52, No. 5, 2488--2511 (2014; Zbl 1310.65131) Full Text: DOI arXiv
Sheng, Chang-Tao; Wang, Zhong-Qing; Guo, Ben-Yu A multistep Legendre-Gauss spectral collocation method for nonlinear Volterra integral equations. (English) Zbl 1305.65246 SIAM J. Numer. Anal. 52, No. 4, 1953-1980 (2014). Reviewer: Kai Diethelm (Braunschweig) MSC: 65R20 45D05 45G10 PDFBibTeX XMLCite \textit{C.-T. Sheng} et al., SIAM J. Numer. Anal. 52, No. 4, 1953--1980 (2014; Zbl 1305.65246) Full Text: DOI
Luo, Xue; Yau, Stephen S.-T. Hermite spectral method with hyperbolic cross approximations to high-dimensional parabolic PDEs. (English) Zbl 1286.65133 SIAM J. Numer. Anal. 51, No. 6, 3186-3212 (2013). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 35K10 65M12 65M15 PDFBibTeX XMLCite \textit{X. Luo} and \textit{S. S. T. Yau}, SIAM J. Numer. Anal. 51, No. 6, 3186--3212 (2013; Zbl 1286.65133) Full Text: DOI arXiv
Chen, Peng; Quarteroni, Alfio; Rozza, Gianluigi A weighted reduced basis method for elliptic partial differential equations with random input data. (English) Zbl 1288.65007 SIAM J. Numer. Anal. 51, No. 6, 3163-3185 (2013). Reviewer: Grigori N. Milstein (Yekaterinburg) MSC: 65C30 65N35 60H15 60H35 35R60 PDFBibTeX XMLCite \textit{P. Chen} et al., SIAM J. Numer. Anal. 51, No. 6, 3163--3185 (2013; Zbl 1288.65007) Full Text: DOI Link
Wang, Hong; Yang, Danping Wellposedness of variable-coefficient conservative fractional elliptic differential equations. (English) Zbl 1277.65059 SIAM J. Numer. Anal. 51, No. 2, 1088-1107 (2013). Reviewer: Pavol Chocholatý (Bratislava) MSC: 65L10 34A08 65L60 34B05 PDFBibTeX XMLCite \textit{H. Wang} and \textit{D. Yang}, SIAM J. Numer. Anal. 51, No. 2, 1088--1107 (2013; Zbl 1277.65059) Full Text: DOI
Brugnano, Luigi; Iavernaro, Felice; Trigiante, Donato Energy- and quadratic invariants-preserving integrators based upon Gauss collocation formulae. (English) Zbl 1261.65130 SIAM J. Numer. Anal. 50, No. 6, 2897-2916 (2012). MSC: 65P10 65L05 37M15 65L06 PDFBibTeX XMLCite \textit{L. Brugnano} et al., SIAM J. Numer. Anal. 50, No. 6, 2897--2916 (2012; Zbl 1261.65130) Full Text: DOI arXiv
Zhang, Guannan; Gunzburger, Max Error analysis of a stochastic collocation method for parabolic partial differential equations with random input data. (English) Zbl 1260.65007 SIAM J. Numer. Anal. 50, No. 4, 1922-1940 (2012). Reviewer: Henri Schurz (Carbondale) MSC: 65C30 60H15 35R60 60H35 65M70 65M12 65M60 65M15 PDFBibTeX XMLCite \textit{G. Zhang} and \textit{M. Gunzburger}, SIAM J. Numer. Anal. 50, No. 4, 1922--1940 (2012; Zbl 1260.65007) Full Text: DOI
Bui-Thanh, Tan; Ghattas, Omar Analysis of an \(hp\)-nonconforming discontinuous Galerkin spectral element method for wave propagation. (English) Zbl 1250.65120 SIAM J. Numer. Anal. 50, No. 3, 1801-1826 (2012). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65M70 65M60 35L05 65M12 PDFBibTeX XMLCite \textit{T. Bui-Thanh} and \textit{O. Ghattas}, SIAM J. Numer. Anal. 50, No. 3, 1801--1826 (2012; Zbl 1250.65120) Full Text: DOI
Shen, Jie; Yu, Haijun On the approximation of the Fokker-Planck equation of the finitely extensible nonlinear elastic dumbbell model. I: A new weighted formulation and an optimal spectral-Galerkin algorithm in two dimensions. (English) Zbl 1250.82033 SIAM J. Numer. Anal. 50, No. 3, 1136-1161 (2012). MSC: 82C31 82-08 82D60 35K20 65M70 65M12 35Q84 35Q30 PDFBibTeX XMLCite \textit{J. Shen} and \textit{H. Yu}, SIAM J. Numer. Anal. 50, No. 3, 1136--1161 (2012; Zbl 1250.82033) Full Text: DOI
Charrier, Julia Strong and weak error estimates for elliptic partial differential equations with random coefficients. (English) Zbl 1241.65011 SIAM J. Numer. Anal. 50, No. 1, 216-246 (2012). MSC: 65C30 65N15 60H35 76S05 60H15 35R60 65N35 35J25 65N12 PDFBibTeX XMLCite \textit{J. Charrier}, SIAM J. Numer. Anal. 50, No. 1, 216--246 (2012; Zbl 1241.65011) Full Text: DOI
Kim, Philsu; Piao, Xiangfan; Kim, Sang Dong An error corrected Euler method for solving stiff problems based on Chebyshev collocation. (English) Zbl 1273.65095 SIAM J. Numer. Anal. 49, No. 6, 2211-2230 (2011). MSC: 65L04 65L60 65L20 PDFBibTeX XMLCite \textit{P. Kim} et al., SIAM J. Numer. Anal. 49, No. 6, 2211--2230 (2011; Zbl 1273.65095) Full Text: DOI
Chen, Yanping; Huang, Fenglin; Yi, Nianyu; Liu, Wenbin A Legendre-Galerkin spectral method for optimal control problems governed by Stokes equations. (English) Zbl 1231.35161 SIAM J. Numer. Anal. 49, No. 4, 1625-1648 (2011). Reviewer: Jürgen Socolowsky (Brandenburg an der Havel) MSC: 35Q35 35R35 65M12 65M70 PDFBibTeX XMLCite \textit{Y. Chen} et al., SIAM J. Numer. Anal. 49, No. 4, 1625--1648 (2011; Zbl 1231.35161) Full Text: DOI
Brunner, Hermann; Huang, Qiumei; Xie, Hehu Discontinuous Galerkin methods for delay differential equations of pantograph type. (English) Zbl 1219.65076 SIAM J. Numer. Anal. 48, No. 5, 1944-1967 (2010). Reviewer: Vicenţiu D. Rădulescu (Craiova) MSC: 65L60 65L70 65L03 65L20 34K28 PDFBibTeX XMLCite \textit{H. Brunner} et al., SIAM J. Numer. Anal. 48, No. 5, 1944--1967 (2010; Zbl 1219.65076) Full Text: DOI
Ainsworth, Mark; Wajid, Hafiz Abdul Optimally blended spectral-finite element scheme for wave propagation and nonstandard reduced integration. (English) Zbl 1213.65129 SIAM J. Numer. Anal. 48, No. 1, 346-371 (2010). Reviewer: Ivan Secrieru (Chişinău) MSC: 65M60 65L60 35L05 65M70 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{H. A. Wajid}, SIAM J. Numer. Anal. 48, No. 1, 346--371 (2010; Zbl 1213.65129) Full Text: DOI Link
Ainsworth, Mark; Wajid, Hafiz Abdul Dispersive and dissipative behavior of the spectral element method. (English) Zbl 1204.65137 SIAM J. Numer. Anal. 47, No. 5, 3910-3937 (2009). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 65N35 65N15 35J05 65N30 PDFBibTeX XMLCite \textit{M. Ainsworth} and \textit{H. A. Wajid}, SIAM J. Numer. Anal. 47, No. 5, 3910--3937 (2009; Zbl 1204.65137) Full Text: DOI Link
Cao, Yanzhao; Wu, Bin; Xu, Yuesheng A fast collocation method for solving stochastic integral equations. (English) Zbl 1202.65011 SIAM J. Numer. Anal. 47, No. 5, 3744-3767 (2009). MSC: 65C30 60H20 45R05 45B05 65Y20 PDFBibTeX XMLCite \textit{Y. Cao} et al., SIAM J. Numer. Anal. 47, No. 5, 3744--3767 (2009; Zbl 1202.65011) Full Text: DOI
Bialecki, Bernard; Fernandes, Ryan I. An alternating direction implicit backward differentiation orthogonal spline collocation method for linear variable coefficient parabolic equations. (English) Zbl 1206.65236 SIAM J. Numer. Anal. 47, No. 5, 3429-3450 (2009). Reviewer: Kai Schneider (Marseille) MSC: 65M70 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{R. I. Fernandes}, SIAM J. Numer. Anal. 47, No. 5, 3429--3450 (2009; Zbl 1206.65236) Full Text: DOI
Chen, Zhongying; Wu, Bin; Xu, Yuesheng Fast multilevel augmentation methods for solving Hammerstein equations. (English) Zbl 1195.65224 SIAM J. Numer. Anal. 47, No. 3, 2321-2346 (2009). Reviewer: Hu Chuangan (Cupertino) MSC: 65R20 65J15 45G10 47H30 47J25 PDFBibTeX XMLCite \textit{Z. Chen} et al., SIAM J. Numer. Anal. 47, No. 3, 2321--2346 (2009; Zbl 1195.65224) Full Text: DOI
Li, Xianjuan; Xu, Chuanju A space-time spectral method for the time fractional diffusion equation. (English) Zbl 1193.35243 SIAM J. Numer. Anal. 47, No. 3, 2108-2131 (2009). MSC: 35R11 35S10 65M70 65M12 PDFBibTeX XMLCite \textit{X. Li} and \textit{C. Xu}, SIAM J. Numer. Anal. 47, No. 3, 2108--2131 (2009; Zbl 1193.35243) Full Text: DOI Link
Hou, Yanren; Li, Kaitai Postprocessing Fourier Galerkin method for the Navier-Stokes equations. (English) Zbl 1406.65096 SIAM J. Numer. Anal. 47, No. 3, 1909-1922 (2009). MSC: 65M70 65M12 76D05 PDFBibTeX XMLCite \textit{Y. Hou} and \textit{K. Li}, SIAM J. Numer. Anal. 47, No. 3, 1909--1922 (2009; Zbl 1406.65096) Full Text: DOI
Shen, Jie; Wang, Li-Lian; Li, Huiyuan A triangular spectral element method using fully tensorial rational basis functions. (English) Zbl 1197.65187 SIAM J. Numer. Anal. 47, No. 3, 1619-1650 (2009). Reviewer: Ivan Secrieru (Chişinău) MSC: 65N35 35J05 PDFBibTeX XMLCite \textit{J. Shen} et al., SIAM J. Numer. Anal. 47, No. 3, 1619--1650 (2009; Zbl 1197.65187) Full Text: DOI
Charalambides, Marios; Waleffe, Fabian Gegenbauer tau methods with and without spurious eigenvalues. (English) Zbl 1201.65133 SIAM J. Numer. Anal. 47, No. 1, 48-68 (2009). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L15 34L16 65L60 PDFBibTeX XMLCite \textit{M. Charalambides} and \textit{F. Waleffe}, SIAM J. Numer. Anal. 47, No. 1, 48--68 (2009; Zbl 1201.65133) Full Text: DOI arXiv Link
Nobile, F.; Tempone, R.; Webster, C. G. An anisotropic sparse grid stochastic collocation method for partial differential equations with random input data. (English) Zbl 1176.65007 SIAM J. Numer. Anal. 46, No. 5, 2411-2442 (2008). MSC: 65C30 60H15 35R60 65N35 65N50 65N12 65N30 65N15 PDFBibTeX XMLCite \textit{F. Nobile} et al., SIAM J. Numer. Anal. 46, No. 5, 2411--2442 (2008; Zbl 1176.65007) Full Text: DOI
Lanson, Nathalie; Vila, Jean-Paul Renormalized meshfree schemes. II: Convergence for scalar conservation laws. (English) Zbl 1178.65124 SIAM J. Numer. Anal. 46, No. 4, 1935-1964 (2008). Reviewer: Rémi Vaillancourt (Ottawa) MSC: 65M70 65M12 65M15 35L65 PDFBibTeX XMLCite \textit{N. Lanson} and \textit{J.-P. Vila}, SIAM J. Numer. Anal. 46, No. 4, 1935--1964 (2008; Zbl 1178.65124) Full Text: DOI
Estep, D.; Ginting, V.; Ropp, D.; Shadid, J. N.; Tavener, S. An a posteriori-a priori analysis of multiscale operator splitting. (English) Zbl 1166.65367 SIAM J. Numer. Anal. 46, No. 3, 1116-1146 (2008). MSC: 65L70 65L05 34A34 65L60 35K57 65M20 PDFBibTeX XMLCite \textit{D. Estep} et al., SIAM J. Numer. Anal. 46, No. 3, 1116--1146 (2008; Zbl 1166.65367) Full Text: DOI
Pani, Amiya Kumar; Fairweather, Graeme; Fernandes, Ryan I. Alternating direction implicit orthogonal spline collocation methods for an evolution equation with a positive-type memory term. (English) Zbl 1160.65068 SIAM J. Numer. Anal. 46, No. 1, 344-364 (2008). MSC: 65R20 45K05 PDFBibTeX XMLCite \textit{A. K. Pani} et al., SIAM J. Numer. Anal. 46, No. 1, 344--364 (2008; Zbl 1160.65068) Full Text: DOI
Charalambides, Marios; Waleffe, Fabian Spectrum of the Jacobi tau approximation for the second derivative operator. (English) Zbl 1160.65326 SIAM J. Numer. Anal. 46, No. 1, 280-294 (2008). MSC: 65L15 34L16 35K05 65M70 PDFBibTeX XMLCite \textit{M. Charalambides} and \textit{F. Waleffe}, SIAM J. Numer. Anal. 46, No. 1, 280--294 (2008; Zbl 1160.65326) Full Text: DOI arXiv
Gradinaru, V. Strang splitting for the time-dependent Schrödinger equation on sparse grids. (English) Zbl 1160.65053 SIAM J. Numer. Anal. 46, No. 1, 103-123 (2008). MSC: 65M70 35Q40 81Q05 81-08 65M12 PDFBibTeX XMLCite \textit{V. Gradinaru}, SIAM J. Numer. Anal. 46, No. 1, 103--123 (2008; Zbl 1160.65053) Full Text: DOI Link
Babuška, Ivo; Nobile, Fabio; Tempone, Raúl A stochastic collocation method for elliptic partial differential equations with random input data. (English) Zbl 1151.65008 SIAM J. Numer. Anal. 45, No. 3, 1005-1034 (2007). Reviewer: Dominique Lepingle (Orléans) MSC: 65C30 65N35 65N15 65N12 65N30 60H15 35R60 60H35 PDFBibTeX XMLCite \textit{I. Babuška} et al., SIAM J. Numer. Anal. 45, No. 3, 1005--1034 (2007; Zbl 1151.65008) Full Text: DOI Link
Schaback, Robert Convergence of unsymmetric kernel-based meshless collocation methods. (English) Zbl 1165.65066 SIAM J. Numer. Anal. 45, No. 1, 333-351 (2007). Reviewer: R. Militaru (Craiova) MSC: 65N12 65N35 65N22 65F22 PDFBibTeX XMLCite \textit{R. Schaback}, SIAM J. Numer. Anal. 45, No. 1, 333--351 (2007; Zbl 1165.65066) Full Text: DOI
Weideman, J. A. C. Optimizing Talbot’s contours for the inversion of the Laplace transform. (English) Zbl 1131.65105 SIAM J. Numer. Anal. 44, No. 6, 2342-2362 (2006). MSC: 65R10 65M70 44A10 35K05 35A22 65M12 PDFBibTeX XMLCite \textit{J. A. C. Weideman}, SIAM J. Numer. Anal. 44, No. 6, 2342--2362 (2006; Zbl 1131.65105) Full Text: DOI Link
Mazzia, Francesca; Sestini, Alessandra; Trigiante, Donato B-spline linear multistep methods and their continuous extensions. (English) Zbl 1128.65057 SIAM J. Numer. Anal. 44, No. 5, 1954-1973 (2006). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L20 65L60 65L05 34A34 PDFBibTeX XMLCite \textit{F. Mazzia} et al., SIAM J. Numer. Anal. 44, No. 5, 1954--1973 (2006; Zbl 1128.65057) Full Text: DOI
De Bonis, M. C.; Mastroianni, G. Projection methods and condition numbers in uniform norm for Fredholm and Cauchy singular integral equations. (English) Zbl 1124.65122 SIAM J. Numer. Anal. 44, No. 4, 1351-1374 (2006). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65R20 45E05 45B05 PDFBibTeX XMLCite \textit{M. C. De Bonis} and \textit{G. Mastroianni}, SIAM J. Numer. Anal. 44, No. 4, 1351--1374 (2006; Zbl 1124.65122) Full Text: DOI
Bernardi, Christine; Chorfi, Nejmeddine Spectral discretization of the vorticity, velocity, and pressure formulation of the Stokes problem. (English) Zbl 1117.65159 SIAM J. Numer. Anal. 44, No. 2, 826-850 (2006). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 35Q30 65N15 PDFBibTeX XMLCite \textit{C. Bernardi} and \textit{N. Chorfi}, SIAM J. Numer. Anal. 44, No. 2, 826--850 (2006; Zbl 1117.65159) Full Text: DOI
Geissert, Matthias Discrete maximal \(L_p\)-regularity for finite element operators. (English) Zbl 1118.65104 SIAM J. Numer. Anal. 44, No. 2, 677-698 (2006). Reviewer: Angela Handlovičová (Bratislava) MSC: 65M60 34G10 65M12 65L60 35K90 PDFBibTeX XMLCite \textit{M. Geissert}, SIAM J. Numer. Anal. 44, No. 2, 677--698 (2006; Zbl 1118.65104) Full Text: DOI
Kim, Do Wan; Liu, Wing Kam Maximum principle and convergence analysis for the meshfree point collocation method. (English) Zbl 1155.65090 SIAM J. Numer. Anal. 44, No. 2, 515-539 (2006). Reviewer: J. B. Butler jun. (Portland) MSC: 65N12 65N15 65N35 35J05 PDFBibTeX XMLCite \textit{D. W. Kim} and \textit{W. K. Liu}, SIAM J. Numer. Anal. 44, No. 2, 515--539 (2006; Zbl 1155.65090) Full Text: DOI
Guo, Ben-Yu; Wang, Li-Lian; Wang, Zhong-Qing Generalized Laguerre interpolation and pseudospectral method for unbounded domains. (English) Zbl 1116.41002 SIAM J. Numer. Anal. 43, No. 6, 2567-2589 (2006). MSC: 41A05 65N35 33C45 PDFBibTeX XMLCite \textit{B.-Y. Guo} et al., SIAM J. Numer. Anal. 43, No. 6, 2567--2589 (2006; Zbl 1116.41002) Full Text: DOI
Brunner, Hermann; Hu, Qiya Optimal superconvergence orders of iterated collocation solutions for Volterra integral equations with vanishing delays. (English) Zbl 1103.65136 SIAM J. Numer. Anal. 43, No. 5, 1934-1949 (2005). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45D05 PDFBibTeX XMLCite \textit{H. Brunner} and \textit{Q. Hu}, SIAM J. Numer. Anal. 43, No. 5, 1934--1949 (2005; Zbl 1103.65136) Full Text: DOI
Parts, Inga; Pedas, Arvet; Tamme, Enn Piecewise polynomial collocation for Fredholm integro-differential equations with weakly singular kernels. (English) Zbl 1103.65138 SIAM J. Numer. Anal. 43, No. 5, 1897-1911 (2005). Reviewer: Hu Chuangan (Tianjin) MSC: 65R20 45J05 PDFBibTeX XMLCite \textit{I. Parts} et al., SIAM J. Numer. Anal. 43, No. 5, 1897--1911 (2005; Zbl 1103.65138) Full Text: DOI
Bonner, B. D.; Graham, I. G.; Smyshlyaev, V. P. The computation of conical diffraction coefficients in high-frequency acoustic wave scattering. (English) Zbl 1104.65115 SIAM J. Numer. Anal. 43, No. 3, 1202-1230 (2005). Reviewer: Johannes Elschner (Berlin) MSC: 65N38 35P25 78A45 35J05 35Q60 78M15 PDFBibTeX XMLCite \textit{B. D. Bonner} et al., SIAM J. Numer. Anal. 43, No. 3, 1202--1230 (2005; Zbl 1104.65115) Full Text: DOI Link
Aitbayev, Rakhim Multilevel preconditioners for non-self-adjoint or indefinite orthogonal spline collocation problems. (English) Zbl 1090.65131 SIAM J. Numer. Anal. 43, No. 2, 686-706 (2005). Reviewer: Dietrich Braess (Bochum) MSC: 65N35 65N55 65F10 65F35 35J25 PDFBibTeX XMLCite \textit{R. Aitbayev}, SIAM J. Numer. Anal. 43, No. 2, 686--706 (2005; Zbl 1090.65131) Full Text: DOI Link
Min, M. S.; Gottlieb, D. Domain decomposition spectral approximations for an eigenvalue problem with a piecewise constant coefficient. (English) Zbl 1090.41002 SIAM J. Numer. Anal. 43, No. 2, 502-520 (2005). Reviewer: Josef Kofroň (Praha) MSC: 41A10 41A25 65N25 65N30 65N35 65N55 PDFBibTeX XMLCite \textit{M. S. Min} and \textit{D. Gottlieb}, SIAM J. Numer. Anal. 43, No. 2, 502--520 (2005; Zbl 1090.41002) Full Text: DOI
Ma, Heping; Sun, Weiwei; Tang, Tao Hermite spectral methods with a time-dependent scaling for parabolic equations in unbounded domains. (English) Zbl 1087.65097 SIAM J. Numer. Anal. 43, No. 1, 58-75 (2005). Reviewer: Prabhat Kumar Mahanti (Saint John) MSC: 65M70 65M12 35K15 PDFBibTeX XMLCite \textit{H. Ma} et al., SIAM J. Numer. Anal. 43, No. 1, 58--75 (2005; Zbl 1087.65097) Full Text: DOI
Grzhibovskis, Richards; Heintz, Alexei A convolution-thresholding approximation of generalized curvature flows. (English) Zbl 1084.65100 SIAM J. Numer. Anal. 42, No. 6, 2652-2670 (2005). Reviewer: Roland Pulch (Wuppertal) MSC: 65M70 65M12 53C44 35K55 PDFBibTeX XMLCite \textit{R. Grzhibovskis} and \textit{A. Heintz}, SIAM J. Numer. Anal. 42, No. 6, 2652--2670 (2005; Zbl 1084.65100) Full Text: DOI
Reddy, S. C.; Weideman, J. A. C. The accuracy of the Chebyshev differencing method for analytic functions. (English) Zbl 1086.65017 SIAM J. Numer. Anal. 42, No. 5, 2176-2187 (2005). Reviewer: Luigi Gatteschi (Torino) MSC: 65D25 65D05 PDFBibTeX XMLCite \textit{S. C. Reddy} and \textit{J. A. C. Weideman}, SIAM J. Numer. Anal. 42, No. 5, 2176--2187 (2005; Zbl 1086.65017) Full Text: DOI
Huang, Weizhang; Ma, Heping; Sun, Weiwei Convergence analysis of spectral collocation methods for a singular differential equation. (English) Zbl 1058.65076 SIAM J. Numer. Anal. 41, No. 6, 2333-2349 (2003). MSC: 65L10 65N12 35J05 65N35 65L60 34B05 65L20 PDFBibTeX XMLCite \textit{W. Huang} et al., SIAM J. Numer. Anal. 41, No. 6, 2333--2349 (2003; Zbl 1058.65076) Full Text: DOI
Sarvas, Jukka Performing interpolation and anterpolation entirely by fast Fourier transform in the 3-D multilevel fast multipole algorithm. (English) Zbl 1058.65134 SIAM J. Numer. Anal. 41, No. 6, 2180-2196 (2003). MSC: 65N35 76Q05 76M15 78M15 35J05 65N55 65T50 78A45 PDFBibTeX XMLCite \textit{J. Sarvas}, SIAM J. Numer. Anal. 41, No. 6, 2180--2196 (2003; Zbl 1058.65134) Full Text: DOI
Meddahi, Salim; Márquez, Antonio; Selgas, Virginia Computing acoustic waves in an inhomogeneous medium of the plane by a coupling of spectral and finite elements. (English) Zbl 1056.65119 SIAM J. Numer. Anal. 41, No. 5, 1729-1750 (2003). Reviewer: Calin Ioan Gheorghiu (Cluj-Napoca) MSC: 65N35 76M10 76M22 76Q05 65N30 65F10 35J05 65F35 PDFBibTeX XMLCite \textit{S. Meddahi} et al., SIAM J. Numer. Anal. 41, No. 5, 1729--1750 (2003; Zbl 1056.65119) Full Text: DOI
Bialecki, Bernard; Dryja, Maksymilian A nonoverlapping domain decomposition method for orthogonal spline collocation problems. (English) Zbl 1055.65139 SIAM J. Numer. Anal. 41, No. 5, 1709-1728 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N55 65N35 65N12 65N15 35J05 65T50 65F35 65F10 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{M. Dryja}, SIAM J. Numer. Anal. 41, No. 5, 1709--1728 (2003; Zbl 1055.65139) Full Text: DOI
Sangalli, Giancarlo Quasi optimality of the SUPG method for the one-dimensional advection-diffusion problem. (English) Zbl 1058.65080 SIAM J. Numer. Anal. 41, No. 4, 1528-1542 (2003). Reviewer: Laura-Iulia Aniţa (Iaşi) MSC: 65L10 65L60 65L70 76R99 PDFBibTeX XMLCite \textit{G. Sangalli}, SIAM J. Numer. Anal. 41, No. 4, 1528--1542 (2003; Zbl 1058.65080) Full Text: DOI
Bao, Weizhu; Jaksch, Dieter An explicit unconditionally stable numerical method for solving damped nonlinear Schrödinger equations with a focusing nonlinearity. (English) Zbl 1054.35088 SIAM J. Numer. Anal. 41, No. 4, 1406-1426 (2003). MSC: 35Q55 65T40 65N12 65N35 81-08 PDFBibTeX XMLCite \textit{W. Bao} and \textit{D. Jaksch}, SIAM J. Numer. Anal. 41, No. 4, 1406--1426 (2003; Zbl 1054.35088) Full Text: DOI arXiv
Kim, Sang Dong; Lee, Hyung-Chun; Shin, Byeong Chun Pseudospectral least-squares method for the second-order elliptic boundary value problem. (English) Zbl 1051.65114 SIAM J. Numer. Anal. 41, No. 4, 1370-1387 (2003). Reviewer: Wilhelm Heinrichs (Essen) MSC: 65N35 65F10 35J25 65F35 65N12 65N15 65N30 PDFBibTeX XMLCite \textit{S. D. Kim} et al., SIAM J. Numer. Anal. 41, No. 4, 1370--1387 (2003; Zbl 1051.65114) Full Text: DOI
Hochbruck, Marlis; Lubich, Christian On Magnus integrators for time-dependent Schrödinger equations. (English) Zbl 1049.65064 SIAM J. Numer. Anal. 41, No. 3, 945-963 (2003). Reviewer: Manuel Calvo (Zaragoza) MSC: 65L05 65L70 34L40 65L60 PDFBibTeX XMLCite \textit{M. Hochbruck} and \textit{C. Lubich}, SIAM J. Numer. Anal. 41, No. 3, 945--963 (2003; Zbl 1049.65064) 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 PDFBibTeX XMLCite \textit{H. Wu} et al., SIAM J. Numer. Anal. 41, No. 2, 659--672 (2003; Zbl 1050.65083) Full Text: DOI
Aitbayev, Rakhim; Bialecki, Bernard A preconditioned conjugate gradient method for nonselfadjoint or indefinite orthogonal spline collocation problems. (English) Zbl 1050.65115 SIAM J. Numer. Anal. 41, No. 2, 589-604 (2003). Reviewer: Constantin Popa (Constanta) MSC: 65N35 35J25 65F10 65N12 65F35 PDFBibTeX XMLCite \textit{R. Aitbayev} and \textit{B. Bialecki}, SIAM J. Numer. Anal. 41, No. 2, 589--604 (2003; Zbl 1050.65115) Full Text: DOI
Cao, Yanzhao; Herdman, Terry; Xu, Yuesheng A hybrid collocation method for Volterra integral equations with weakly singular kernels. (English) Zbl 1042.65106 SIAM J. Numer. Anal. 41, No. 1, 364-381 (2003). Reviewer: Neville Ford (Chester) MSC: 65R20 45D05 45E10 PDFBibTeX XMLCite \textit{Y. Cao} et al., SIAM J. Numer. Anal. 41, No. 1, 364--381 (2003; Zbl 1042.65106) Full Text: DOI
Lumsdaine, Andrew; Wu, Deyun Krylov subspace acceleration of waveform relaxation. (English) Zbl 1047.65020 SIAM J. Numer. Anal. 41, No. 1, 90-111 (2003). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65F10 65L60 65M60 65J10 34G10 35K90 65L05 PDFBibTeX XMLCite \textit{A. Lumsdaine} and \textit{D. Wu}, SIAM J. Numer. Anal. 41, No. 1, 90--111 (2003; Zbl 1047.65020) Full Text: DOI