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Barrenechea, Gabriel R. and Georgoulis, Emmanuil H. and Pryer, Tristan and Veeser, Andreas (2024) A nodally bound-preserving finite element method. IMA Journal of Numerical Analysis, 44 (4). 2198–2219. ISSN 0272-4979
Barrenechea, Gabriel R and Burman, Erik and Cáceres, Ernesto and Guzmán, Johnny (2024) Continuous interior penalty stabilization for divergence-free finite element methods. IMA Journal of Numerical Analysis, 44 (2). pp. 980-1002. drad030. ISSN 0272-4979
Bootland, Niall and Dolean, Victorita and Graham, Ivan G and Ma, Chupeng and Scheichl, Robert (2023) Overlapping Schwarz methods with GenEO coarse spaces for indefinite and nonself-adjoint problems. IMA Journal of Numerical Analysis, 43 (4). pp. 1899-1936. ISSN 0272-4979
Li, Yun and Mao, Xuerong and Song, Qingshuo and Wu, Fuke and Yin, George (2023) Strong convergence of Euler-Maruyama schemes for McKean-Vlasov stochastic differential equations under local Lipschitz conditions of state variables. IMA Journal of Numerical Analysis, 43 (2). pp. 1001-1035. ISSN 0272-4979
Bespalov, Alex and Praetorius, Dirk and Ruggeri, Michele (2022) Convergence and rate optimality of adaptive multilevel stochastic Galerkin FEM. IMA Journal of Numerical Analysis, 42 (3). 2190–2213. ISSN 0272-4979
Maity, Ruma Rani and Majumdar, Apala and Nataraj, Neela (2021) Discontinuous Galerkin finite element methods for the Landau-de Gennes minimization problem of liquid crystals. IMA Journal of Numerical Analysis, 41 (2). 1130–1163. ISSN 0272-4979
Di Fratta, Giovanni and Pfeiler, Carl-Martin and Praetorius, Dirk and Ruggeri, Michele and Stiftner, Bernhard (2020) Linear second-order IMEX-type integrator for the (eddy current) Landau–Lifshitz–Gilbert equation. IMA Journal of Numerical Analysis, 40 (4). pp. 2802-2838. ISSN 0272-4979
Barrenechea, Gabriel R and Wachtel, Andreas (2019) The inf-sup stability of the lowest order Taylor-Hood pair on anisotropic meshes. IMA Journal of Numerical Analysis. ISSN 0272-4979
Barrenechea, Gabriel R. and Castillo, Ernesto and Codina, Ramon (2019) Time-dependent semi-discrete analysis of the viscoelastic fluid flow problem using a variational multiscale stabilised formulation. IMA Journal of Numerical Analysis, 39 (2). 792–819. ISSN 0272-4979
Li, Xiaoyue and Mao, Xuerong and Yin, George (2018) Explicit numerical approximations for stochastic differential equations in finite and infinite horizons : truncation methods, convergence in pth moment, and stability. IMA Journal of Numerical Analysis, 39 (2). pp. 847-892. ISSN 0272-4979
Franz, Sebastian and Trostorff, Sebastian and Waurick, Marcus (2018) Numerical methods for changing type systems. IMA Journal of Numerical Analysis. ISSN 0272-4979
Barrenechea, Gabriel and Volker, John and Knobloch, Petr (2014) Some analytical results for an algebraic flux correction scheme for a steady convection-diffusion equation in one dimension. IMA Journal of Numerical Analysis. ISSN 0272-4979
Knight, Philip and Ruiz, Daniel (2013) A fast algorithm for matrix balancing. IMA Journal of Numerical Analysis, 33 (3). pp. 1029-1047. ISSN 0272-4979
Ainsworth, Mark and Allendes Flores, Alejandro Ignacio and Barrenechea, Gabriel and Rankin, Richard Andrew Robert (2012) Computable error bounds for nonconfirming Fortin-Soulie finite element approximation of the Stokes problem. IMA Journal of Numerical Analysis, 32 (2). pp. 414-447. ISSN 0272-4979
Mackenzie, John and Mekwi, W.R. (2012) An unconditionally stable second-order accurate ALE–FEM scheme for two-dimensional convection–diffusion problems. IMA Journal of Numerical Analysis, 32 (3). pp. 888-905. ISSN 0272-4979
Brunner, Hermann and Davies, P.J. and Duncan, D.B. (2012) Global convergence and local superconvergence of first-kind Volterra integral equation approximations. IMA Journal of Numerical Analysis, 32 (3). pp. 1117-1146. ISSN 0272-4979
Mackenzie, J.A. and Madzvamuse, A. (2011) Analysis of stability and convergence of finite-difference methods for a reaction-diffusion problem on a one-dimensional growing domain. IMA Journal of Numerical Analysis, 31 (1). pp. 212-232. ISSN 0272-4979
Araya, Rodolfa and Barrenechea, Gabriel and Jaillet, Fabrice and Rodriguez, Rodolfo (2011) Finite-element analysis of a static fluid–solid interaction problem. IMA Journal of Numerical Analysis, 31 (3). pp. 886-913. ISSN 0272-4979
Ainsworth, Mark and Rankin, Richard Andrew Robert (2011) Constant free error bounds for nonuniform order discontinuous Galerkin finite-element approximation on locally refined meshes with hanging nodes. IMA Journal of Numerical Analysis, 31 (1). pp. 254-280. ISSN 0272-4979
Strauss, M. (2011) Quadratic projection methods for approximating the spectrum of self-adjoint operators. IMA Journal of Numerical Analysis, 31 (1). pp. 40-60. ISSN 0272-4979
Grindrod, Peter and Higham, Desmond J. and Kalna, Gabriela (2010) Periodic reordering. IMA Journal of Numerical Analysis, 30 (1). pp. 195-207. ISSN 0272-4979
Davydov, O. and Schumaker, L.L. (2008) Interpolation and scattered data fitting on manifolds using projected Powell–Sabin splines. IMA Journal of Numerical Analysis, 28 (4). pp. 785-805. ISSN 0272-4979
Araya, Rodolfa and Barrenechea, Gabriel and Valentin, Frédéric (2007) A stabilized finite-element method for the Stokes problem including element and edge residuals. IMA Journal of Numerical Analysis, 27 (1). pp. 172-197. ISSN 0272-4979
MacKenzie, J.A. and Mekwi, W. (2007) An analysis of stability and convergence of a finite-difference discretization of a model parabolic PDE in 1D using a moving mesh. IMA Journal of Numerical Analysis, 27 (3). pp. 507-528. ISSN 0272-4979
Higham, D.J. (2005) Spectral reordering of a range-dependent weighted random graph. IMA Journal of Numerical Analysis, 25. pp. 443-457. ISSN 0272-4979
Ainsworth, M. and Coggins, P. (2002) A uniformly stable family of mixed hp-finite elements with continuous pressures for incompressible flow. IMA Journal of Numerical Analysis, 22 (2). pp. 307-327. ISSN 0272-4979
Ainsworth, Mark and Arnold, Mark E. (2001) Computable error bounds for some simple dimensionally reduced models on thin domains. IMA Journal of Numerical Analysis, 21 (1). pp. 81-105. ISSN 0272-4979
Gonzalez, O. and Stuart, A.M. and Higham, D.J. (1999) Qualitative properties of modified equations. IMA Journal of Numerical Analysis, 19 (2). pp. 169-190. ISSN 0272-4979
Calvo, M.C. and Higham, D.J. and Montijano, J.M. and Rández, L. (1996) Global error estimation with adaptive explicit Runge-Kutta methods. IMA Journal of Numerical Analysis, 16 (1). pp. 47-63. ISSN 0272-4979
Higham, Desmond J. (1991) Global error versus tolerance for explicit Runge-Kutta methods. IMA Journal of Numerical Analysis, 11 (4). pp. 457-480. ISSN 0272-4979
Higham, D.J. (1989) Analysis of the Enright-Kamel partitioning method for stiff ODEs. IMA Journal of Numerical Analysis, 9 (1). pp. 1-14. ISSN 0272-4979
Hall, G. and Higham, D.J. (1988) Analysis of stepsize selection schemes for Runge-Kutta codes. IMA Journal of Numerical Analysis, 8 (3). pp. 305-310. ISSN 0272-4979