Miyatake, Yuto; Butcher, John C. A characterization of energy-preserving methods and the construction of parallel integrators for Hamiltonian systems. (English) Zbl 1342.65232 SIAM J. Numer. Anal. 54, No. 3, 1993-2013 (2016). MSC: 65P10 37M15 65Y05 65L06 PDFBibTeX XMLCite \textit{Y. Miyatake} and \textit{J. C. Butcher}, SIAM J. Numer. Anal. 54, No. 3, 1993--2013 (2016; Zbl 1342.65232) Full Text: DOI arXiv
Burman, Erik; Schieweck, Friedhelm Local CIP stabilization for composite finite elements. (English) Zbl 1342.65212 SIAM J. Numer. Anal. 54, No. 3, 1967-1992 (2016). MSC: 65N30 35J25 65N12 65N15 PDFBibTeX XMLCite \textit{E. Burman} and \textit{F. Schieweck}, SIAM J. Numer. Anal. 54, No. 3, 1967--1992 (2016; Zbl 1342.65212) Full Text: DOI
Basu, Kinjal; Owen, Art B. Transformations and Hardy-Krause variation. (English) Zbl 1342.65099 SIAM J. Numer. Anal. 54, No. 3, 1946-1966 (2016). MSC: 65D32 41A55 65C05 PDFBibTeX XMLCite \textit{K. Basu} and \textit{A. B. Owen}, SIAM J. Numer. Anal. 54, No. 3, 1946--1966 (2016; Zbl 1342.65099) Full Text: DOI arXiv
Fjordholm, Ulrik S.; Solem, Susanne Second-order convergence of monotone schemes for conservation laws. (English) Zbl 1342.65181 SIAM J. Numer. Anal. 54, No. 3, 1920-1945 (2016). MSC: 65M12 65M06 35L65 PDFBibTeX XMLCite \textit{U. S. Fjordholm} and \textit{S. Solem}, SIAM J. Numer. Anal. 54, No. 3, 1920--1945 (2016; Zbl 1342.65181) Full Text: DOI arXiv
Du, Qiang; Yang, Jiang Asymptotically compatible Fourier spectral approximations of nonlocal Allen-Cahn equations. (English) Zbl 1342.65198 SIAM J. Numer. Anal. 54, No. 3, 1899-1919 (2016). MSC: 65M70 35Q35 65M15 65M12 PDFBibTeX XMLCite \textit{Q. Du} and \textit{J. Yang}, SIAM J. Numer. Anal. 54, No. 3, 1899--1919 (2016; Zbl 1342.65198) Full Text: DOI
Chave, Florent; Di Pietro, Daniele A.; Marche, Fabien; Pigeonneau, Franck A hybrid high-order method for the Cahn-Hilliard problem in mixed form. (English) Zbl 1401.65103 SIAM J. Numer. Anal. 54, No. 3, 1873-1898 (2016). MSC: 65M60 65M12 PDFBibTeX XMLCite \textit{F. Chave} et al., SIAM J. Numer. Anal. 54, No. 3, 1873--1898 (2016; Zbl 1401.65103) Full Text: DOI arXiv
Dareiotis, Konstantinos; Kumar, Chaman; Sabanis, Sotirios On tamed Euler approximations of SDEs driven by Lévy noise with applications to delay equations. (English) Zbl 1401.65014 SIAM J. Numer. Anal. 54, No. 3, 1840-1872 (2016). MSC: 65C30 60H10 60H35 PDFBibTeX XMLCite \textit{K. Dareiotis} et al., SIAM J. Numer. Anal. 54, No. 3, 1840--1872 (2016; Zbl 1401.65014) Full Text: DOI arXiv Link
Hoel, Håkon; Law, Kody J. H.; Tempone, Raul Multilevel ensemble Kalman filtering. (English) Zbl 1401.65008 SIAM J. Numer. Anal. 54, No. 3, 1813-1839 (2016). MSC: 65C05 65C30 65Y20 65M20 PDFBibTeX XMLCite \textit{H. Hoel} et al., SIAM J. Numer. Anal. 54, No. 3, 1813--1839 (2016; Zbl 1401.65008) 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
Le, Kim Ngan; McLean, William; Mustapha, Kassem Numerical solution of the time-fractional Fokker-Planck equation with general forcing. (English) Zbl 1404.65122 SIAM J. Numer. Anal. 54, No. 3, 1763-1784 (2016). Reviewer: Abdallah Bradji (Annaba) MSC: 65M12 65M15 65M60 65Z05 35Q84 45K05 35R11 35R09 65M06 82C31 PDFBibTeX XMLCite \textit{K. N. Le} et al., SIAM J. Numer. Anal. 54, No. 3, 1763--1784 (2016; Zbl 1404.65122) Full Text: DOI arXiv
Barrett, John W.; Garcke, Harald; Nürnberg, Robert Computational parametric Willmore flow with spontaneous curvature and area difference elasticity effects. (English) Zbl 1428.53104 SIAM J. Numer. Anal. 54, No. 3, 1732-1762 (2016). MSC: 53E99 65M60 65M12 PDFBibTeX XMLCite \textit{J. W. Barrett} et al., SIAM J. Numer. Anal. 54, No. 3, 1732--1762 (2016; Zbl 1428.53104) Full Text: DOI
Maday, Y.; Mula, O.; Turinici, G. Convergence analysis of the generalized empirical interpolation method. (English) Zbl 1347.41044 SIAM J. Numer. Anal. 54, No. 3, 1713-1731 (2016). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 41A25 41A45 65N15 PDFBibTeX XMLCite \textit{Y. Maday} et al., SIAM J. Numer. Anal. 54, No. 3, 1713--1731 (2016; Zbl 1347.41044) Full Text: DOI arXiv
Hamon, François P.; Tchelepi, Hamdi A. Analysis of hybrid upwinding for fully-implicit simulation of three-phase flow with gravity. (English) Zbl 1382.65269 SIAM J. Numer. Anal. 54, No. 3, 1682-1712 (2016). MSC: 65M08 35L65 65M12 65M22 76M12 76S05 PDFBibTeX XMLCite \textit{F. P. Hamon} and \textit{H. A. Tchelepi}, SIAM J. Numer. Anal. 54, No. 3, 1682--1712 (2016; Zbl 1382.65269) Full Text: DOI
Li, Dong; Qiao, Zhonghua; Tang, Tao Characterizing the stabilization size for semi-implicit Fourier-spectral method to phase field equations. (English) Zbl 1346.35162 SIAM J. Numer. Anal. 54, No. 3, 1653-1681 (2016). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q35 65M15 65M70 76A20 35B35 65M12 PDFBibTeX XMLCite \textit{D. Li} et al., SIAM J. Numer. Anal. 54, No. 3, 1653--1681 (2016; Zbl 1346.35162) Full Text: DOI arXiv
Causley, Matthew F.; Cho, Hana; Christlieb, Andrew J.; Seal, David C. Method of lines transpose: high order L-stable \(\mathcal O(N)\) schemes for parabolic equations using successive convolution. (English) Zbl 1339.65199 SIAM J. Numer. Anal. 54, No. 3, 1635-1652 (2016). MSC: 65M80 35K05 35K55 35K57 31A10 PDFBibTeX XMLCite \textit{M. F. Causley} et al., SIAM J. Numer. Anal. 54, No. 3, 1635--1652 (2016; Zbl 1339.65199) Full Text: DOI arXiv
Huang, Weizhang; Kamenski, Lennard; Lang, Jens Stability of explicit one-step methods for P1-finite element approximation of linear diffusion equations on anisotropic meshes. (English) Zbl 1339.65173 SIAM J. Numer. Anal. 54, No. 3, 1612-1634 (2016). MSC: 65M60 65M50 65F15 PDFBibTeX XMLCite \textit{W. Huang} et al., SIAM J. Numer. Anal. 54, No. 3, 1612--1634 (2016; Zbl 1339.65173) Full Text: DOI arXiv
Mirebeau, Jean-Marie Minimal stencils for discretizations of anisotropic PDEs preserving causality or the maximum principle. (English) Zbl 1341.35077 SIAM J. Numer. Anal. 54, No. 3, 1582-1611 (2016). MSC: 35J70 35F21 65M06 65N12 65M12 PDFBibTeX XMLCite \textit{J.-M. Mirebeau}, SIAM J. Numer. Anal. 54, No. 3, 1582--1611 (2016; Zbl 1341.35077) Full Text: DOI
Wang, Haiyong On the optimal estimates and comparison of Gegenbauer expansion coefficients. (English) Zbl 1342.41039 SIAM J. Numer. Anal. 54, No. 3, 1557-1581 (2016). Reviewer: Martin D. Buhmann (Gießen) MSC: 41A65 41A25 41A10 65N35 PDFBibTeX XMLCite \textit{H. Wang}, SIAM J. Numer. Anal. 54, No. 3, 1557--1581 (2016; Zbl 1342.41039) Full Text: DOI arXiv
Hager, William W.; Yashtini, Maryam; Zhang, Hongchao An \(\mathcal O(1/{k})\) convergence rate for the variable stepsize Bregman operator splitting algorithm. (English) Zbl 1381.49009 SIAM J. Numer. Anal. 54, No. 3, 1535-1556 (2016). MSC: 49J40 65K10 65K15 90C25 PDFBibTeX XMLCite \textit{W. W. Hager} et al., SIAM J. Numer. Anal. 54, No. 3, 1535--1556 (2016; Zbl 1381.49009) Full Text: DOI
Abdulle, Assyr; Pouchon, Timothée A priori error analysis of the finite element heterogeneous multiscale method for the wave equation over long time. (English) Zbl 1382.65303 SIAM J. Numer. Anal. 54, No. 3, 1507-1534 (2016). MSC: 65M60 65M15 35B27 35B10 35B40 35L05 74Q10 74Q15 PDFBibTeX XMLCite \textit{A. Abdulle} and \textit{T. Pouchon}, SIAM J. Numer. Anal. 54, No. 3, 1507--1534 (2016; Zbl 1382.65303) Full Text: DOI
Svärd, Magnus A convergent numerical scheme for the compressible Navier-Stokes equations. (English) Zbl 1381.76243 SIAM J. Numer. Anal. 54, No. 3, 1484-1506 (2016). MSC: 76M20 65M06 35L65 35Q35 65M12 76N10 PDFBibTeX XMLCite \textit{M. Svärd}, SIAM J. Numer. Anal. 54, No. 3, 1484--1506 (2016; Zbl 1381.76243) Full Text: DOI
Bayer, Christian; Friz, Peter K.; Riedel, Sebastian; Schoenmakers, John From rough path estimates to multilevel Monte Carlo. (English) Zbl 1343.60097 SIAM J. Numer. Anal. 54, No. 3, 1449-1483 (2016). MSC: 60H35 60H10 60G15 65C30 65C05 PDFBibTeX XMLCite \textit{C. Bayer} et al., SIAM J. Numer. Anal. 54, No. 3, 1449--1483 (2016; Zbl 1343.60097) Full Text: DOI arXiv
Feischl, Michael; Praetorius, Dirk; van der Zee, Kristoffer G. An abstract analysis of optimal goal-oriented adaptivity. (English) Zbl 1382.65392 SIAM J. Numer. Anal. 54, No. 3, 1423-1448 (2016). MSC: 65N30 65N50 65Y20 PDFBibTeX XMLCite \textit{M. Feischl} et al., SIAM J. Numer. Anal. 54, No. 3, 1423--1448 (2016; Zbl 1382.65392) Full Text: DOI arXiv
Nguyen, Dang-Manh; Peters, Jörg Nonuniform discontinuous Galerkin filters via shift and scale. (English) Zbl 1382.65323 SIAM J. Numer. Anal. 54, No. 3, 1401-1422 (2016). MSC: 65M60 65D07 65M12 PDFBibTeX XMLCite \textit{D.-M. Nguyen} and \textit{J. Peters}, SIAM J. Numer. Anal. 54, No. 3, 1401--1422 (2016; Zbl 1382.65323) Full Text: DOI arXiv
Halla, Martin Convergence of Hardy space infinite elements for Helmholtz scattering and resonance problems. (English) Zbl 1382.65401 SIAM J. Numer. Anal. 54, No. 3, 1385-1400 (2016). MSC: 65N30 65N12 35B34 35J05 35P25 44A10 PDFBibTeX XMLCite \textit{M. Halla}, SIAM J. Numer. Anal. 54, No. 3, 1385--1400 (2016; Zbl 1382.65401) Full Text: DOI
Leykekhman, Dmitriy; Vexler, Boris Pointwise best approximation results for Galerkin finite element solutions of parabolic problems. (English) Zbl 1382.65319 SIAM J. Numer. Anal. 54, No. 3, 1365-1384 (2016). MSC: 65M60 65M15 PDFBibTeX XMLCite \textit{D. Leykekhman} and \textit{B. Vexler}, SIAM J. Numer. Anal. 54, No. 3, 1365--1384 (2016; Zbl 1382.65319) Full Text: DOI arXiv
Azimzadeh, P.; Forsyth, P. A. Weakly chained matrices, policy iteration, and impulse control. (English) Zbl 1338.65174 SIAM J. Numer. Anal. 54, No. 3, 1341-1364 (2016). MSC: 65K15 49J40 35F21 49J55 49M25 PDFBibTeX XMLCite \textit{P. Azimzadeh} and \textit{P. A. Forsyth}, SIAM J. Numer. Anal. 54, No. 3, 1341--1364 (2016; Zbl 1338.65174) Full Text: DOI arXiv