Joly, Patrick; Kachanovska, Maryna Local transparent boundary conditions for wave propagation in fractal trees (II). Error and complexity analysis. (English) Zbl 07498292 SIAM J. Numer. Anal. 60, No. 2, 529-557 (2022). MSC: 65-XX 35R02 35L05 35L20 35P20 34L20 PDF BibTeX XML Cite \textit{P. Joly} and \textit{M. Kachanovska}, SIAM J. Numer. Anal. 60, No. 2, 529--557 (2022; Zbl 07498292) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{X. Zheng} and \textit{H. Wang}, SIAM J. Numer. Anal. 58, No. 5, 2492--2514 (2020; Zbl 1450.65135) Full Text: DOI OpenURL
del Teso, Felix; Endal, Jørgen; Jakobsen, Espen R. Robust numerical methods for nonlocal (and local) equations of porous medium type. I: Theory. (English) Zbl 1428.65005 SIAM J. Numer. Anal. 57, No. 5, 2266-2299 (2019). MSC: 65M06 65M12 35B30 35K15 35K65 35D30 35R09 35R11 76S05 35B45 PDF BibTeX XML Cite \textit{F. del Teso} et al., SIAM J. Numer. Anal. 57, No. 5, 2266--2299 (2019; Zbl 1428.65005) Full Text: DOI arXiv OpenURL
Dambrine, Marc; Greff, Isabelle; Harbrecht, Helmut; Puig, Benedicte Numerical solution of the Poisson equation on domains with a thin layer of random thickness. (English) Zbl 1382.65457 SIAM J. Numer. Anal. 54, No. 2, 921-941 (2016). MSC: 65N75 65C05 65C30 35J25 35R60 35C20 PDF BibTeX XML Cite \textit{M. Dambrine} et al., SIAM J. Numer. Anal. 54, No. 2, 921--941 (2016; Zbl 1382.65457) Full Text: DOI Link OpenURL
Jin, Bangti; Lazarov, Raytcho; Zhou, Zhi A Petrov-Galerkin finite element method for fractional convection-diffusion equations. (English) Zbl 1335.65092 SIAM J. Numer. Anal. 54, No. 1, 481-503 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65N30 65N12 65N15 35J25 35R11 PDF BibTeX XML Cite \textit{B. Jin} et al., SIAM J. Numer. Anal. 54, No. 1, 481--503 (2016; Zbl 1335.65092) Full Text: DOI arXiv OpenURL
Mustapha, K.; Abdallah, B.; Furati, K. M. A discontinuous Petrov-Galerkin method for time-fractional diffusion equations. (English) Zbl 1323.65109 SIAM J. Numer. Anal. 52, No. 5, 2512-2529 (2014). Reviewer: Krzysztof Moszyński (Warszawa) MSC: 65M60 65M12 65M15 35K15 35R11 65M50 PDF BibTeX XML Cite \textit{K. Mustapha} et al., SIAM J. Numer. Anal. 52, No. 5, 2512--2529 (2014; Zbl 1323.65109) Full Text: DOI arXiv OpenURL
Jin, Bangti; Lazarov, Raytcho; Pasciak, Joseph; Zhou, Zhi Error analysis of a finite element method for the space-fractional parabolic equation. (English) Zbl 1310.65126 SIAM J. Numer. Anal. 52, No. 5, 2272-2294 (2014). Reviewer: H. P. Dikshit (Bhopal) MSC: 65M60 65M20 35K20 35R11 65M12 65M15 PDF BibTeX XML Cite \textit{B. Jin} et al., SIAM J. Numer. Anal. 52, No. 5, 2272--2294 (2014; Zbl 1310.65126) Full Text: DOI arXiv OpenURL
Boiger, Wolfgang; Carstensen, Carsten On the strong convergence of gradients in stabilized degenerate convex minimization problems. (English) Zbl 1205.35062 SIAM J. Numer. Anal. 47, No. 6, 4569-4580 (2010). MSC: 35J20 35J70 65K10 65N12 65N30 49K20 PDF BibTeX XML Cite \textit{W. Boiger} and \textit{C. Carstensen}, SIAM J. Numer. Anal. 47, No. 6, 4569--4580 (2010; Zbl 1205.35062) Full Text: DOI Link OpenURL
Bartels, Sören Semi-implicit approximation of wave maps into smooth or convex surfaces. (English) Zbl 1205.65264 SIAM J. Numer. Anal. 47, No. 5, 3486-3506 (2009). Reviewer: I. N. Katz (St. Louis) MSC: 65M60 58J45 35L70 35Q75 PDF BibTeX XML Cite \textit{S. Bartels}, SIAM J. Numer. Anal. 47, No. 5, 3486--3506 (2009; Zbl 1205.65264) Full Text: DOI OpenURL
Feng, Xiaobing; Neilan, Michael Mixed finite element methods for the fully nonlinear Monge-Ampère equation based on the vanishing moment method. (English) Zbl 1195.65170 SIAM J. Numer. Anal. 47, No. 2, 1226-1250 (2009). Reviewer: Abdallah Bradji (Tebessa) MSC: 65N30 35J96 35J62 PDF BibTeX XML Cite \textit{X. Feng} and \textit{M. Neilan}, SIAM J. Numer. Anal. 47, No. 2, 1226--1250 (2009; Zbl 1195.65170) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{A. K. Pani} et al., SIAM J. Numer. Anal. 46, No. 1, 344--364 (2008; Zbl 1160.65068) Full Text: DOI OpenURL
Owhadi, Houman; Zhang, Lei Homogenization of parabolic equations with a continuum of space and time scales. (English) Zbl 1170.34037 SIAM J. Numer. Anal. 46, No. 1, 1-36 (2008). Reviewer: Fabio Paronetto (Padova) MSC: 34D10 35B27 68P30 60F05 35B05 35K20 35A35 PDF BibTeX XML Cite \textit{H. Owhadi} and \textit{L. Zhang}, SIAM J. Numer. Anal. 46, No. 1, 1--36 (2008; Zbl 1170.34037) Full Text: DOI arXiv Link OpenURL
Mekchay, Khamron; Nochetto, Ricardo H. Convergence of adaptive finite element methods for general second order linear elliptic PDEs. (English) Zbl 1104.65103 SIAM J. Numer. Anal. 43, No. 5, 1803-1827 (2005). MSC: 65N12 65N15 65N30 65N50 65Y20 PDF BibTeX XML Cite \textit{K. Mekchay} and \textit{R. H. Nochetto}, SIAM J. Numer. Anal. 43, No. 5, 1803--1827 (2005; Zbl 1104.65103) Full Text: DOI OpenURL
Yuste, S. B.; Acedo, L. An explicit finite difference method and a new von Neumann-type stability analysis for fractional diffusion equations. (English) Zbl 1119.65379 SIAM J. Numer. Anal. 42, No. 5, 1862-1874 (2005). MSC: 65M06 35K15 26A33 PDF BibTeX XML Cite \textit{S. B. Yuste} and \textit{L. Acedo}, SIAM J. Numer. Anal. 42, No. 5, 1862--1874 (2005; Zbl 1119.65379) Full Text: DOI arXiv OpenURL
Alonso-Mallo, Isaias; Reguera, Nuria Discrete absorbing boundary conditions for Schrödinger-type equations. Construction and error analysis. (English) Zbl 1060.65102 SIAM J. Numer. Anal. 41, No. 5, 1824-1850 (2003). Reviewer: Gisbert Stoyan (Budapest) MSC: 65M15 65M12 65M20 65M06 35K15 65L06 PDF BibTeX XML Cite \textit{I. Alonso-Mallo} and \textit{N. Reguera}, SIAM J. Numer. Anal. 41, No. 5, 1824--1850 (2003; Zbl 1060.65102) Full Text: DOI OpenURL
Kellogg, R. Bruce; Stynes, Martin \(n\)-widths and singularly perturbed boundary value problems. II. (English) Zbl 1097.35013 SIAM J. Numer. Anal. 39, No. 2, 690-707 (2001). Reviewer: Saulius Norvidas (Vilnius) MSC: 35B25 35B40 35J25 65N15 PDF BibTeX XML Cite \textit{R. B. Kellogg} and \textit{M. Stynes}, SIAM J. Numer. Anal. 39, No. 2, 690--707 (2001; Zbl 1097.35013) Full Text: DOI OpenURL
Schatz, Alfred H. Pointwise error estimates and asymptotic error expansion inequalities for the finite element method on irregular grids. II: Interior estimates. (English) Zbl 0983.65120 SIAM J. Numer. Anal. 38, No. 4, 1269-1293 (2000). Reviewer: Myron Sussman (Bethel Park) MSC: 65N15 65N12 65N30 35J25 PDF BibTeX XML Cite \textit{A. H. Schatz}, SIAM J. Numer. Anal. 38, No. 4, 1269--1293 (2000; Zbl 0983.65120) Full Text: DOI OpenURL
Shaw, Simon; Whiteman, J. R. Numerical solution of linear quasistatic hereditary viscoelasticity problems. (English) Zbl 0991.74076 SIAM J. Numer. Anal. 38, No. 1, 80-97 (2000). Reviewer: Juan Pedro Milaszewicz (Buenos Aires) MSC: 74S05 74D05 74H15 45D05 PDF BibTeX XML Cite \textit{S. Shaw} and \textit{J. R. Whiteman}, SIAM J. Numer. Anal. 38, No. 1, 80--97 (2000; Zbl 0991.74076) Full Text: DOI OpenURL
Guo, Ben-Yu Gegenbauer approximation in certain Hilbert spaces and its applications to singular differential equations. (English) Zbl 0947.65112 SIAM J. Numer. Anal. 37, No. 2, 621-645 (2000). Reviewer: W.Heinrichs (Essen) MSC: 65M70 35K65 65M12 35K15 35K55 PDF BibTeX XML Cite \textit{B.-Y. Guo}, SIAM J. Numer. Anal. 37, No. 2, 621--645 (2000; Zbl 0947.65112) Full Text: DOI OpenURL
Buet, C.; Cordier, S. Numerical analysis of conservative and entropy schemes for the Fokker-Planck-Landau equation. (English) Zbl 0940.34037 SIAM J. Numer. Anal. 36, No. 3, 953-973 (1998). Reviewer: Qin Mengzhao (Beijing) MSC: 34C60 65M06 65L05 76P05 35K10 35Q53 PDF BibTeX XML Cite \textit{C. Buet} and \textit{S. Cordier}, SIAM J. Numer. Anal. 36, No. 3, 953--973 (1998; Zbl 0940.34037) Full Text: DOI OpenURL
Akrivis, Georgios Finite difference methods for the wide-angle ”parabolic” equation. (English) Zbl 0961.76056 SIAM J. Numer. Anal. 36, No. 1, 317-329 (1998). Reviewer: Klaus Brod (Wiesbaden) MSC: 76M20 76Q05 65M06 65M15 PDF BibTeX XML Cite \textit{G. Akrivis}, SIAM J. Numer. Anal. 36, No. 1, 317--329 (1998; Zbl 0961.76056) Full Text: DOI OpenURL
Leimkuhler, B. Timestep acceleration of waveform relaxation. (English) Zbl 0914.65077 SIAM J. Numer. Anal. 35, No. 1, 31-50 (1998). Reviewer: E.Hairer (Genève) MSC: 65L06 65L05 34A30 35L05 65M20 65L50 PDF BibTeX XML Cite \textit{B. Leimkuhler}, SIAM J. Numer. Anal. 35, No. 1, 31--50 (1998; Zbl 0914.65077) Full Text: DOI OpenURL
Vozovoi, L.; Weill, A.; Israeli, M. Spectrally accurate solution of nonperiodic differential equations by the Fourier-Gegenbauer method. (English) Zbl 0898.65073 SIAM J. Numer. Anal. 34, No. 4, 1451-1471 (1997). Reviewer: L.Gatteschi (Torino) MSC: 65N35 35J25 35K15 65D15 65L10 65M70 PDF BibTeX XML Cite \textit{L. Vozovoi} et al., SIAM J. Numer. Anal. 34, No. 4, 1451--1471 (1997; Zbl 0898.65073) Full Text: DOI OpenURL
Manteuffel, Thomas A.; White, Andrew B. jun. On the efficient numerical solution of systems of second order boundary value problems. (English) Zbl 0635.65091 SIAM J. Numer. Anal. 23, 996-1006 (1986). Reviewer: H.Weber MSC: 65L10 34B05 PDF BibTeX XML Cite \textit{T. A. Manteuffel} and \textit{A. B. White jun.}, SIAM J. Numer. Anal. 23, 996--1006 (1986; Zbl 0635.65091) Full Text: DOI OpenURL
Addison, C. A.; Enright, W. H. Properties of multistep formulas intended for a class of second order ODEs. (English) Zbl 0574.65085 SIAM J. Numer. Anal. 21, 327-339 (1984). MSC: 65L05 65L20 34A30 PDF BibTeX XML Cite \textit{C. A. Addison} and \textit{W. H. Enright}, SIAM J. Numer. Anal. 21, 327--339 (1984; Zbl 0574.65085) Full Text: DOI OpenURL
Varah, J. M. Stability restrictions on second order, three level finite difference schemes for parabolic equations. (English) Zbl 0426.65048 SIAM J. Numer. Anal. 17, 300-309 (1980). MSC: 65M12 35Q99 35K55 PDF BibTeX XML Cite \textit{J. M. Varah}, SIAM J. Numer. Anal. 17, 300--309 (1980; Zbl 0426.65048) Full Text: DOI OpenURL
Baker, Christopher T. H.; Makroglou, Athena; Short, Edward Regions of stability in the numerical treatment of Volterra integro- differential equations. (English) Zbl 0428.65066 SIAM J. Numer. Anal. 16, 890-910 (1979). MSC: 65R20 45J05 PDF BibTeX XML Cite \textit{C. T. H. Baker} et al., SIAM J. Numer. Anal. 16, 890--910 (1979; Zbl 0428.65066) Full Text: DOI OpenURL
Diaz, Julio Cesar Collocation-\(H^{-1}\)-Galerkin method for parabolic problems with time dependent coefficients. (English) Zbl 0426.65065 SIAM J. Numer. Anal. 16, 911-922 (1979). MSC: 65N30 65N35 35K15 35K20 PDF BibTeX XML Cite \textit{J. C. Diaz}, SIAM J. Numer. Anal. 16, 911--922 (1979; Zbl 0426.65065) Full Text: DOI OpenURL
Aziz, A. K.; Leventhal, S. Finite element approximation for first order systems. (English) Zbl 0399.65082 SIAM J. Numer. Anal. 15, 1103-1111 (1978). MSC: 65N30 35F15 76H05 35M99 PDF BibTeX XML Cite \textit{A. K. Aziz} and \textit{S. Leventhal}, SIAM J. Numer. Anal. 15, 1103--1111 (1978; Zbl 0399.65082) Full Text: DOI OpenURL
Widlund, Olof A Lanczos method for a class of nonsymmetric systems of linear equations. (English) Zbl 0398.65030 SIAM J. Numer. Anal. 15, 801-812 (1978). MSC: 65J10 65F10 35J25 65N99 PDF BibTeX XML Cite \textit{O. Widlund}, SIAM J. Numer. Anal. 15, 801--812 (1978; Zbl 0398.65030) Full Text: DOI OpenURL
Lawson, J. D.; Morris, J. Ll. The extrapolation of first order methods for parabolic partial differential equations. I. (English) Zbl 0397.65064 SIAM J. Numer. Anal. 15, 1212-1224 (1978). MSC: 65M12 41A21 35K05 35K15 35K20 65M06 PDF BibTeX XML Cite \textit{J. D. Lawson} and \textit{J. Ll. Morris}, SIAM J. Numer. Anal. 15, 1212--1224 (1978; Zbl 0397.65064) Full Text: DOI OpenURL
Wood, Winifred L. Periodicity effects on the iterative solution of elliptic difference equations. (English) Zbl 0221.65169 SIAM J. numer. Anal. 8, 439-464 (1971). MSC: 65N99 35B10 35J15 35J99 35J05 PDF BibTeX XML Cite \textit{W. L. Wood}, SIAM J. Numer. Anal. 8, 439--464 (1971; Zbl 0221.65169) Full Text: DOI OpenURL