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2024

Barrenechea, Gabriel and Castillo, Ernesto and Pacheco, Douglas (2024) Implicit-explicit schemes for incompressible flow problems with variable viscosity. SIAM Journal on Scientific Computing, 46 (4). A2660-A2682. ISSN 1064-8275

Barrenechea, Gabriel R. and Gomes, Antonio Tadeu A. and Paredes, Diego (2024) A multiscale hybrid method. SIAM Journal on Scientific Computing, 46 (3). A1628 - A1657. ISSN 1064-8275

2023

Dolean, Victorita and Gander, Martin J. and Kyriakis, Alexandros (2023) Closed form optimized transmission conditions for complex diffusion with many subdomains. SIAM Journal on Scientific Computing, 45 (2). A829-A848. ISSN 1064-8275

2021

Allendes, Alejandro and Barrenechea, Gabriel R. and Novo, Julia (2021) A divergence-free stabilized finite element method for the evolutionary Navier-Stokes equations. SIAM Journal on Scientific Computing, 43 (6). A3809–A3836. ISSN 1064-8275

MacKenzie, John and Rowlatt, Christopher and Insall, Robert (2021) A conservative finite element ALE scheme for mass-conservative reaction-diffusion equations on evolving two-dimensional domains. SIAM Journal on Scientific Computing, 43 (1). B132-B166. ISSN 1064-8275

2020

Su, Wei and Zhu, Lianhua and Wu, Lei (2020) Fast convergence and asymptotic preserving of the general synthetic iterative scheme. SIAM Journal on Scientific Computing, 42 (6). B1517-B1540. ISSN 1064-8275

Brunet, R. and Dolean, V. and Gander, M. J. (2020) Natural domain decomposition algorithms for the solution of time-harmonic elastic waves. SIAM Journal on Scientific Computing, 42 (5). A3313-A3339. ISSN 1064-8275

2019

Bootland, Niall and Bentley, Alistair and Kees, Christopher and Wathen, Andrew (2019) Preconditioners for two-phase incompressible Navier-Stokes flow. SIAM Journal on Scientific Computing, 41 (4). B843–B869. ISSN 1064-8275

Mackenzie, J. A. and Nolan, M. and Rowlatt, C. F. and Insall, R. H. (2019) An adaptive moving mesh method for forced curve shortening flow. SIAM Journal on Scientific Computing, 41 (2). A1170–A1200. ISSN 1064-8275

2018

McDonald, Eleanor and Pestana, Jennifer and Wathen, Andy (2018) Preconditioning and iterative solution of all-at-once systems for evolutionary partial differential equations. SIAM Journal on Scientific Computing, 40 (2). A1012–A1033. ISSN 1064-8275

2017

Allendes, Alejandro and Barrenechea, Gabriel R. and Rankin, Richard (2017) Fully computable error estimation of a nonlinear, positivity-preserving discretization of the convection-diffusion-reaction equation. SIAM Journal on Scientific Computing, 39 (5). A1903–A1927. ISSN 1064-8275

2016

Dolean, V. and Gander, M. J. and Kheriji, W. and Kwok, F. and Masson, R. (2016) Nonlinear preconditioning : how to use a nonlinear Schwarz method to precondition Newton's method. SIAM Journal on Scientific Computing, 38 (6). A3357-A3380. ISSN 1064-8275

Brown, Kirsty L. and Gejadze, Igor and Ramage, Alison (2016) A multilevel approach for computing the limited-memory Hessian and its inverse in variational data assimilation. SIAM Journal on Scientific Computing, 38 (5). A2934-A2963. ISSN 1064-8275

Pestana, J. and Muddle, R. and Heil, M. and Tisseur, F. and Mihajlovic, M. (2016) Efficient block preconditioning for a C1 finite element discretisation of the Dirichlet biharmonic problem. SIAM Journal on Scientific Computing, 38 (1). A325-A345. ISSN 1064-8275

Arrigo, Francesca and Benzi, Michele (2016) Updating and downdating techniques for optimizing network communicability. SIAM Journal on Scientific Computing, 38 (1). B25-B49. ISSN 1064-8275

2015

MacDonald, Craig S. and MacKenzie, John A. and Ramage, Alison and Newton, Christopher J. P. (2015) Efficient moving mesh methods for Q-tensor models of nematic liquid crystals. SIAM Journal on Scientific Computing, 37 (2). B215-B238. ISSN 1064-8275

2014

Chiachio, Manuel and Beck, James L. and Chiachio, Juan and Rus, Guillermo (2014) Approximate Bayesian computation by subset simulation. SIAM Journal on Scientific Computing, 36 (3). 1339–1358. ISSN 1064-8275

Barrenechea, G. R. and Boulton, L. and Boussaid, N. (2014) Finite element Eigenvalue enclosures for the Maxwell operator. SIAM Journal on Scientific Computing, 36 (6). A2887–A2906. ISSN 1064-8275

2013

Ramage, Alison and Gartland, Jr., Eugene C. (2013) A preconditioned nullspace method for liquid crystal director modelling. SIAM Journal on Scientific Computing, 35 (1). B226–B247. ISSN 1064-8275

Huang, Qiumei and Xie, Hehu and Brunner, Hermann (2013) The hp discontinuous Galerkin method for delay differential equations with nonlinear vanishing delay. SIAM Journal on Scientific Computing, 35 (3). A1604-A1620. ISSN 1064-8275

2012

Gejadze, I. Yu. and Shutyaev, V. (2012) On computation of the design function gradient for the sensor-location problem in variational data assimilation. SIAM Journal on Scientific Computing, 34 (2). B127-B147. ISSN 1064-8275

2011

Nataf, Frédéric and Xiang, Hua and Dolean Maini, Victorita and Spillane, Nicole (2011) A course space construction based on local Dirichlet-to-Neumann maps. SIAM Journal on Scientific Computing, 33 (4). pp. 1623-1642. ISSN 1064-8275

Neilson, Matthew Paterson and Mackenzie, John and Webb, Steven and Insall, Robert H. (2011) Modelling cell movement and chemotaxis pseudopod based feedback. SIAM Journal on Scientific Computing, 33 (3). 1035–1057. ISSN 1064-8275

Ainsworth, Mark and Andriamaro, Miangaly Gaelle and Davydov, Oleg (2011) Bernstein–Bézier finite elements of arbitrary order and optimal assembly procedures. SIAM Journal on Scientific Computing, 33 (6). pp. 3087-3109. ISSN 1064-8275

2009

Dolean Maini, Victorita and Gander, M.J. and Gerardo-Giorda, L. (2009) Optimized Schwarz methods for Maxwell's equations. SIAM Journal on Scientific Computing, 31 (3). pp. 2193-2213. ISSN 1064-8275

2008

Chalmers, Graeme, D and Higham, Desmond J. (2008) Asymptotic stability of a jump-diffusion equation and its numerical approximation. SIAM Journal on Scientific Computing, 31 (2). pp. 1141-1155. ISSN 1064-8275

Gejadze, I.Y. and Le-Dimet, F. and Shutyaev, V. (2008) On analysis error covariances in variational data assimilation. SIAM Journal on Scientific Computing, 30 (4). pp. 1847-1874. ISSN 1064-8275

2007

MacKenzie, John and Nicola, Aurelian (2007) A discontinuous Galerkin moving mesh method for Hamilton-Jacobi equations. SIAM Journal on Scientific Computing, 29 (6). pp. 2258-2282. ISSN 1064-8275

2005

Mangiavacchi, N. and Castelo, A. and Tomé, M.F. and Cuminato, J.A. and de Oliveira, M.L.B. and McKee, S. (2005) An effective implementation of surface tension using the marker and cell method for axisymmetric and planar flows. SIAM Journal on Scientific Computing, 26 (4). pp. 1340-1368. ISSN 1064-8275

2001

Stockie, John M. and MacKenzie, John A. and Russell, Robert D. (2001) A moving mesh method for one-dimensional hyperbolic conservation laws. SIAM Journal on Scientific Computing, 22 (5). pp. 1791-1813. ISSN 1064-8275

2000

Aves, M.A. and Griffiths, D.F. and Higham, D.J. (2000) Runge-Kutta solutions of a hyperbolic conservation law with source term. SIAM Journal on Scientific Computing, 22 (1). pp. 20-38. ISSN 1064-8275

Higham, D.J. and Humphries, A.R. and Wain, R.J. (2000) Phase space error control for dynamical systems. SIAM Journal on Scientific Computing, 21 (6). pp. 2275-2294. ISSN 1064-8275

1991

Higham, D.J. (1991) Runge-Kutta defect control using Hermite-Birkhoff interpolation. SIAM Journal on Scientific Computing, 12 (5). pp. 991-999. ISSN 1064-8275

1989

Higham, D.J. (1989) Defect estimation in Adams PECE codes. SIAM Journal on Scientific Computing, 10 (5). pp. 964-976. ISSN 1064-8275