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Goda, Takashi and Kazashi, Yoshihito and Tanaka, Ken'ichiro (2024) How sharp are error bounds? : Lower bounds on quadrature worst-case errors for analytic functions. SIAM Journal on Numerical Analysis, 62 (5). pp. 2370-2392. ISSN 0036-1429

Kazashi, Yoshihito and Suzuki, Yuya and Goda, Takashi (2023) Suboptimality of Gauss–Hermite quadrature and optimality of the trapezoidal rule for functions with finite smoothness. SIAM Journal on Numerical Analysis, 61 (3). pp. 1426-1448. ISSN 0036-1429

Kazashi, Yoshihito and Nobile, Fabio (2023) Density estimation in RKHS with application to Korobov spaces in high dimensions. SIAM Journal on Numerical Analysis, 61 (2). pp. 1080-1102. ISSN 0036-1429

Nochetto, Ricardo H. and Ruggeri, Michele and Yang, Shuo (2022) Gamma-convergent projection-free finite element methods for nematic liquid crystals : the Ericksen model. SIAM Journal on Numerical Analysis, 60 (2). pp. 856-887. ISSN 0036-1429

Ahmed, Naveed and Barrenechea, Gabriel R. and Burman, Erik and Guzmán, Johnny and Linke, Alexander and Merdon, Christian (2021) A pressure-robust discretization of Oseen's equation using stabilization in the vorticity equation. SIAM Journal on Numerical Analysis, 59 (5). 2746–2774. ISSN 0036-1429

Barrenechea, Gabriel and Volker, John and Knobloch, Petr (2016) Analysis of algebraic flux correction schemes. SIAM Journal on Numerical Analysis, 54 (4). 2427–2451. ISSN 0036-1429

Anderson, David F. and Higham, Desmond J. and Sun, Yu (2016) Multilevel Monte Carlo for stochastic differential equations with small noise. SIAM Journal on Numerical Analysis, 54 (2). pp. 505-529. ISSN 0036-1429

Mao, Xuerong (2015) Almost sure exponential stability in the numerical simulation of stochastic differential equations. SIAM Journal on Numerical Analysis, 53 (1). pp. 370-389. ISSN 0036-1429

Gartland, Jr, Eugene C. and Ramage, Alison (2015) A renormalized Newton method for liquid crystal director modeling. SIAM Journal on Numerical Analysis, 53 (1). pp. 251-278. ISSN 0036-1429

Ainsworth, Mark and Barrenechea, Gabriel R. and Wachtel, Andreas (2015) Stabilisation of high aspect ratio mixed finite elements for incompressible flow. SIAM Journal on Numerical Analysis, 53 (2). 1107–1120. ISSN 0036-1429

Anderson, David F. and Higham, Desmond J. and Sun, Yu (2014) Complexity of multilevel Monte Carlo tau-leaping. SIAM Journal on Numerical Analysis, 52 (6). pp. 3106-3127. ISSN 0036-1429

Yang, Z.W. and Brunner, Hermann (2013) Blow-up behavior of collocation solutions to Hammerstein-type volterra integral equations. SIAM Journal on Numerical Analysis, 51 (4). pp. 2260-2282. ISSN 0036-1429

Ainsworth, Mark and Allendes Flores, Alejandro Ignacio and Barrenechea, Gabriel and Rankin, Richard Andrew Robert (2013) On the adaptive selection of the parameter in stabilized finite element approximations. SIAM Journal on Numerical Analysis, 51 (3). pp. 1585-1609. ISSN 0036-1429

Kopteva, Natalia and Linss, Torsten (2013) Maximum norm a posteriori error estimation for parabolic problems using elliptic reconstructions. SIAM Journal on Numerical Analysis, 51 (3). pp. 1494-1524. ISSN 0036-1429

Araya, Rodolfa and Barrenechea, Gabriel R. and Poza, Abner H. and Valentin, Frédéric (2012) Convergence analysis of a residual local projection method for the Navier-Stokes equation. SIAM Journal on Numerical Analysis, 50 (2). pp. 669-699. ISSN 0036-1429

Mustapha, Kassem and Brunner, Hermann and Mustapha, Hussein and Schoetzau, D (2011) An hp-version discontinuous Galerkin method for integro-differential equations of parabolic type. SIAM Journal on Numerical Analysis, 49 (4). pp. 1369-1396. ISSN 0036-1429

Ainsworth, M. and Wajid, Hafiz Abdul (2010) Optimally blended spectral-finite element scheme for wave propagation and nonstandard reduced integration. SIAM Journal on Numerical Analysis, 48 (1). pp. 346-371. ISSN 0036-1429

Ainsworth, M. and Rankin, R. (2010) Fully computable error bounds for discontinuous Galerkin finite element approximations on meshes with an arbitrary number of levels of hanging nodes. SIAM Journal on Numerical Analysis, 47 (6). pp. 4112-4141. ISSN 0036-1429

Barrenechea, Gabriel and Valentin, Frédéric (2010) Consistent local projection stabilized finite element methods. SIAM Journal on Numerical Analysis, 48 (5). pp. 1801-1825. ISSN 0036-1429

Barrenechea, G. R. and Franca, L. P. and Valentin, F. (2009) A symmetric nodal conservative finite element method for the Darcy equation. SIAM Journal on Numerical Analysis, 47 (5). pp. 3652-3677. ISSN 0036-1429

Ainsworth, Mark and Wajid, Hafiz Abdul (2009) Dispersive and dissipative behavior of the spectral element method. SIAM Journal on Numerical Analysis, 47 (5). pp. 3910-3937. ISSN 0036-1429

Wu, Fuke and Mao, Xuerong, Chinese Scholarship Council (Funder) (2008) Numerical solutions of neutral stochastic functional differential equations. SIAM Journal on Numerical Analysis, 46 (4). pp. 1821-1841. ISSN 0036-1429

Kopteva, Natalia (2008) Maximum norm a posteriori error estimate for a 2d singularly perturbed semilinear reaction-diffusion problem. SIAM Journal on Numerical Analysis, 46 (3). pp. 1602-1618. ISSN 0036-1429

Ainsworth, M. and Rankin, R. (2008) Fully computable bounds for the error in nonconforming finite element approximations of arbitrary order on triangular elements. SIAM Journal on Numerical Analysis, 46 (6). pp. 3207-3232. ISSN 0036-1429

Higham, D.J. and Mao, X. and Yuan, C. (2007) Almost sure and moment exponential stability in the numerical simulation of stochastic differential equations. SIAM Journal on Numerical Analysis, 45 (2). pp. 592-609. ISSN 0036-1429

Araya, Rodolfo and Barrenechea, Gabriel R. and Valentin, Frédéric (2006) Stabilized finite element methods based on multiscale enrichment for the Stokes problem. SIAM Journal on Numerical Analysis, 44 (1). 322–348. ISSN 0036-1429

Ainsworth, M. (2005) Robust a posteriori error estimation for non-conforming finite element approximation. SIAM Journal on Numerical Analysis, 42 (6). pp. 2320-2341.

Ainsworth, M. (2004) Discrete dispersion relation for hp-version finite element approximation at high wave number. SIAM Journal on Numerical Analysis, 42 (2). pp. 553-575. ISSN 0036-1429

Davies, P.J. and Duncan, D.B. (2004) Stability and convergence of collocation schemes for retarded potential integral equations. SIAM Journal on Numerical Analysis, 42 (3). pp. 1167-1188. ISSN 0036-1429

Sloan, D.M. (2004) On the norms of inverses of pseudospectral differentiation matrices. SIAM Journal on Numerical Analysis, 42 (1). pp. 30-48.

Ainsworth, M. and Coyle, J. (2003) Conditioning of hierarchic p-version Nedelec elements on meshes of curvilinear quadrilaterals and hexahedra. SIAM Journal on Numerical Analysis, 41 (2). pp. 731-750. ISSN 0036-1429

Ainsworth, M. and Pinchedez, K. (2003) hp-Approximation theory for BDFM/RT finite elements and applications. SIAM Journal on Numerical Analysis, 40 (6). pp. 2047-2068. ISSN 0036-1429

Higham, D.J. and Mao, X. and Stuart, A.M. (2002) Strong convergence of Euler-type methods for nonlinear stochastic differential equations. SIAM Journal on Numerical Analysis, 40 (3). pp. 1041-1063. ISSN 0036-1429

Elman, H.C. and Ramage, A. (2002) An analysis of smoothing effects of upwinding strategies for the convection-diffusion equation. SIAM Journal on Numerical Analysis, 40 (1). pp. 254-281. ISSN 0036-1429

Davydov, O. and Schumaker, L.L. (2002) Stable approximation and interpolation with C1 quartic bivariate splines. SIAM Journal on Numerical Analysis, 39 (5). pp. 1732-1748. ISSN 0036-1429

Higham, D.J. (2000) Mean-square and asymptotic stability of numerical methods for stochastic ordinary differential equations. SIAM Journal on Numerical Analysis, 38 (3). pp. 753-769. ISSN 0036-1429

Higham, D.J. (1999) Trust region algorithms and timestep selection. SIAM Journal on Numerical Analysis, 37 (1). pp. 194-210. ISSN 0036-1429

Aves, M.A. and Griffiths, D.F. and Higham, D.J. (1997) Does error control suppress spuriosity? SIAM Journal on Numerical Analysis, 34 (2). pp. 756-778. ISSN 0036-1429

Higham, D.J. (1989) Robust defect control with Runge-Kutta schemes. SIAM Journal on Numerical Analysis, 26 (5). pp. 1175-1183. ISSN 0036-1429