2018 | 2017 | 2016 | 2015 | 2014 | 2013 | 2012 | 2011 | 2006-2010 | 2000-2005 | 1990-1999 | pre-1990 |
Chaudhry, J.H., Estep, D., Tavener, S.J., Carey, V. and Sandelin, J. (2016) A posteriori error analysis of two stage computation methods with application to efficient resource allocation and the parareal algorithm. SIAM Journal on Numerical Analysis 54 , pp. 2974--3002. DOI: 10.1137/16M1079014.
Berger, L., Bordas, R., Burrows, K., Grau, V., Tavener, S.J. and Kay, D. (2016) A poroelastic model coupled to a fluid network with applications in lung modelling. International Journal for Numerical Methods in Biomedical Engineering , 32 , e02731. DOI: 10.1002/cnm.2731.
Sadre-Marandi, F., Liu, Y., Liu, J., Tavener, S.J. and Zou, X. (2015) Modeling HIV-1 Viral Capsid Nucleation by Dynamical Systems. Mathematical Biosciences, 270, pp 95--105. DOI:10.1016/j.mbs.2015.10.007.
Collins, Estep and Tavener. (2015) A posteriori error estimation for a cut cell finite volume method with uncertain interface location. International Journal for Uncertainty Quantification, 5, pp. 415--432. DOI: 10.1615/Int.J.UncertaintyQuantification.2015012533
Chaudhry, J.H., Estep, D. Ginting, V. and Tavener, S.J. (2015) A posteriori analysis for iterative solvers for non-autonomous evolution problems. SIAM/ASA Journal on Uncertainty Quantification, 3, pp. 434--450. DOI:10.1137/130949403
Berger, L., Bordas, R., Kay, D. and Tavener, S.J. (2015) Stabilized low-order finite element approximation for linear three-field poroelasticity. SIAM Journal on Scientific Computation, 37, pp. A2222--A2245. DOI:10.1137/15M1009822
Liu, J., Sadre-Marandi, Tavener, S.J. and Chen, C. (2015) Curvature concentrations on the HIV-1 Capsid. Molecular Based Mathematical Biology, 3, pp 43-–53. DOI:10.1515/mlbmb-2015-0003
Johansson, A., Chaudhry, J.H., Carey, V., Estep, D., Ginting, V., Larson, M. and Tavener, S. (2015) Adaptive finite element solution of multiscale PDE-ODE systems. Computer Methods in Applied Mechanics and Engineering, 287, pp. 150--171. DOI: 10.1016/j.cma.2015.01.010
Arbogast, T., Estep, D., Sheehan, B. and Tavener, S.J. (2015) A posteriori error estimates for mixed finite element and finite volume methods for parabolic problems coupled through an interface with non-matching discretizations. SIAM/ASA Journal of Uncertainty Quantification, 3, pp 169--198
Estep, D., Sheehan, B., Tavener, S.J., Cary, J., Kruger, S., Hakim, A., Pletzer, A., Carlsson J. and Vadlamani, S. (2015) The interaction of iteration error and stability for linear partial differential equations coupled through an interface. Advances in Mathematical Physics, 2015. Article ID 787198. DOI: 10.1155/2015/787198
Chaudhry, J.H., Estep, D. Ginting, V., Shadid, J.N. and Tavener, S.J. (2015) A posteriori error analysis of IMEX multi-step time integration schemes for advection-diffusion-reaction equations. Computer Methods in Applied Mechanics and Engineering, 285, pp. 730--751. DOI: http://dx.doi.org/10.1016/j.cma.2014.11.015
Farrah Sadre-Marandi, Jiangguo Liu, Simon Tavener and Chaoping Chen. (2014) Generating Vectors for the Lattice Structures of Tubular and Conical Viral Capsids. Molecular Based Mathematical Biology, 2, pp. 128--140. DOI 10.2478/mlbmb-2014-0009.
Butler, T., Estep, D., Tavener, S.J., Dawson, C. and Westerink, J.J. (2014) A measure-theoretic computational method for inverse sensitivity problems III: Multiple quantities of interest. SIAM J. Uncertainty Quantification, 22, pp 174--202.
Collins, J., Estep, D. and Tavener, S.J. (2014) A posteriori error estimation for the Lax-Wendroff finite difference scheme. J. Comput. Appl. Math., 263, pp 299--311.
Whiteley, J. and Tavener, S.J. (2014) Error estimation and adaptivity for incompressible hyperelasticity. Int. J. Numer. Meth. Engr., 99, pp 313--332.
Carey, V., Estep, D. and Tavener, S.J. (2013) A posteriori analysis and adaptive error control for operator decomposition solution of coupled semilinear elliptic systems. International Journal for Numerical Methods in Engineering , 94, pp 826--849. DOI: 10.1002/nme.4482.
Tavener, S.J. and Wildey, T. (2013) Adjoint based a posteriori error analysis of multiscale mortar discretizations with multinumerics. SIAM Journal of Scientific Computation , 35, pp A2621-A2642.
Chaudhry, J.H., Estep, D., Ginting, V. and Tavener S.J. (2013) A posteriori analysis of an iterative multi-discretization method for systems of reaction-diffusion equations. Computer Methods in Applied Mechanics and Engineering , 267, pp 1--22.
Arbogast, T., Estep, D,. Sheehan, B. and Tavener, S.J. (2013) A posteriori error estimation for mixed finite element and finite volume methods for problems coupled through a boundary with non-matching grids. IMA Journal of Numerical Analysis , DOI: 10.1093/imanum/drt049
Asner, L., Tavener, S.J. and Kay. D. (2012) Adjoint-based a posteriori error estimation for coupled time-dependent systems. SIAM J. Sci. Comput. vol. 34, pp. 2394--2419.
Estep, D,. Ginting, V. and Tavener, S.J. (2012) A posteriori analysis of a multirate numerical method for ordinary differential equations. Computer Methods in Applied Mechanics and Engineering, vol. 223, pp 10--27.
Liu, J., Munoz-Alicea, R., Huang, T., Tavener, S.J. and Chen, C. (2012) A mathematical model for intracellular HIV-1 gag protein transport and its parallel numerical simulations. Procedia Computer Science, vol. 9, pp. 679--688.
Herbener, K., Tavener, S.J. and Hobbs, N.T. (2012) The distinct effects of habitat fragmentation on population size. Theoretical Ecology, vol. 5, pp. 73--82. (First published online as DOI:10.1007/s12080-010-0097-6)
Field S.G., Schoettle A.W., Klutsch J.G., Tavener S.J. and Antolin, M.F. (2011) Demographic projection of high-elevation white pines infected with white pine blister rust: a nonlinear disease model. Ecological Applications, vol. 22, pp. 166--183. (First published online by Ecological Applications., DOI:10.1890/11-0470.1)
Tavener S.J., Mikucki, M., Field, S.G. and Antolin, M.F. (2011) Transient sensitivity analysis for nonlinear population models. Methods in Ecology and Evolution, vol 2, pp. 560--575. (First published online as DOI: 10.1111/j.2041-210X.2011.00108.x)
Gillow, K., Tavener, S.J., Walter, A.C. and Whiteley, J.P. (2011) Error bounds on block Gauss-Seidel solutions of coupled multiphysics problems. International Journal for Numerical Methods in Engineering, vol. 88, pp. 1219--1237. (First published online as DOI: 10.1002/nme.3217)
Estep, D., Pernice, M., Tavener, S.J. and Wang, H. (2011) A posteriori error analysis for a cut cell finite volume method. Computer Methods in Applied Mechanics and Engineering , vol. 200, pp. 2768--2781. (First published online as DOI:10.1016/j.cma.2010-11-015)
Liu, J. and Tavener, S.J. (2011) Semi-implicit spectral collocation methods for reaction-diffusion equations on annuli. Numerical Methods for Partial Differential Equations, vol. 27, pp. 1113--1129. (First published online asDOI:10.1002/num.20572)
Carey, V., Estep, D., Johansson, A., Larsson, M. and Tavener, S.J. (2010) Blockwise adaptivity for time dependent problems based on coarse scale adjoint solutions. SIAM J. Sci. Comput., vol. 32, pp. 2121--2145.
Estep, D,. Tavener, S.J. and Wildey, T. (2010) A posteriori error estimation and adaptive mesh refinement for a multi-discretization operator decomposition approach to fluid-solid heat transfer. J. Comput. Phys., vol. 229, pp. 4143--4158.
Estep, D,. Tavener, S.J. and Wildey, T. (2009) A posteriori error analysis for a transient conjugate heat transfer problems. Finite Elements in Analysis and Design, vol. 45, pp. 263--271.
Estep, D., Pernice, M., Pham, D. Tavener, S.J. and Wang, H.Y. (2009) A posteriori error analysis of a cell-centered finite volume method for semilinear elliptic problems. J. Comp. Appl. Math., vol. 233, pp. 459--472.
Estep, D. Malqvist, A. and Tavener, S.J. (2009 Nonparametric density estimation for randomly perturbed elliptic problems II: Applications and adaptive modeling. Int. J. Numer. Meth. Engr., vol. 80, pp. 846--867.
Estep, D. Malqvist, A. and Tavener, S.J. (2009)
Nonparametric density estimation for randomly perturbed elliptic problems I: Computational methods,
a posteriori analysis, and adaptive error control.
SIAM J.
Sci. Comp., vol. 31, pp. 2935--2959.
Allgower, E., Cruceanu, S.-G. and Tavener, S.J. (2009) Turning Points and Bifurcations for Homotopies of Analytic Maps. Contemporary Mathematics, vol. 496, pp. 1--10.
Allgower, E., Cruceanu, S.-G. and Tavener, S.J. (2009) Application of Numerical Continuation to Compute all Solutions of Semilinear Elliptic Equations. Advances in Geometry, vol. 9, pp. 371--400.
Carey, V., Estep, D. and Tavener, S.J. (2009) A posteriori analysis and adaptive error control for multiscale operator decomposition solution of elliptic systems I: Triangular systems. SIAM J. Numer. Anal., vol. 47, pp. 740--761.
Estep, D,. Tavener, S.J. and Wildey, T. (2008) A posteriori analysis and improved accuracy of a conjugate heat transfer problem. SIAM J. Numer. Anal., vol. 46, pp. 2068--2089.
Estep, D., Ginting, V., Ropp, D., Shadid, J. and Tavener, S.J. (2008) An a posteriori - a priori analysis of multiscale operator splitting. SIAM J. Numer. Anal., vol. 46, pp. 1116--1146.
Wildey, T., Tavener, S. and Estep, D. (2008) A posteriori error estimation of approximate boundary fluxes. Commun. Numer. Meth. Engr., vol. 24, pp. 421--434.
Hewitt, R., Khan, A., Mullin, T., Tavener, S.J. and Treacher, P. (2008) Nonlinear vortex development in rotating flows. Phil. Trans. Roy. Soc. Lond., vol. 366, pp. 1317--1329.
Liu, J., Tavener, S.J. and Chen, H. (2007) ELLAM for resolving the kinematics of two-dimensional resistive magnetohydrodynamic flows. J. Comput. Phys., vol. 227, pp. 1372--1386.
Grande, B., Tavener, S.J. and Thomas, T. (2007) Adapting simulation codes to compute unstable solutions and bifurcation behavior. Int. J. Numer. Meth. Fluids, vol. 55, pp. 283--306.
Estep, D. Malqvist, A. and Tavener, S.J. (2007) Numerical analysis and adaptive computation for solutions of elliptic problems with randomly perturbed coefficients, Proc. Appl. Math. Mech., vol. 7, 1140401--1140402.
Hobbs, N.T., Miller, M. and Tavener, S.J. (2006) Dynamics of prion disease transmission in captive mule deer. Ecological Applications, vol. 16, pp. 2208--2214.
Abshagen, J., Cliffe, K.A., Langenberg, J., Mullin, T., Pfister, G., and Tavener, S.J. (2004) Taylor Couette flow with independently rotating end plates. Theor. Comp. Fluid Mech., vol. 18, pp. 129--136.
Mullin, T., Tavener, S.J. and Blake, G.I. (2004) Electrohydrodynamic convection in small aspect ratio devices. J. Non-Newtonian Fluid Mech., vol. 119, pp. 61--69.
Cliffe, K.A. and Tavener, S.J. (2004) The effect of cylinder rotation and blockage ratio on the onset of periodic flows. J. Fluid Mech., vol. 501, pp. 125--133.
Mullin, T., Shipton, S., and Tavener, S.J.(2003) Flow in a symmetric channel with an expanded section. Fluid Dynamics Research, vol. 33, pp. 433--452.
Schulz, A., Pfister, G. and Tavener, S.J. (2003) The effect of outer cylinder rotation on Taylor--Couette flow at small aspect. Phys. Fluids, vol. 15, pp. 417--425.
Tavener, S.J. and Cliffe, K.A. (2003) Two-fluid Maragoni-B\'enard convection with a deformable interface. J. Comput. Phys., vol. 182, pp. 277--300.
Mullin, T., Toya, Y. and Tavener, S.J. (2002) Symmetry--breaking and multiplicity of states in small aspect ratio Taylor--Couette flow. Phys. Fluids, vol. 14, pp. 2778--2787.
Tavener, S.J., Blake, G.I., Mullin, T., and Cliffe, K.A. (2000) A numerical bifurcation study of electrohydrodynamic convection in nematic liquid crystals. Phys. Rev. E, vol. 63, 011708.
Cliffe, K.A., Spence, A. and Tavener, S.J. (2000) The numerical analysis of bifurcation problems with application to fluid mechanics. Acta Numerica 2000, pp. 39--131.
Mullin, T., Kobine, J.J., Tavener, S.J. and Cliffe, K.A. (2000) On the creation of stagnation points near straight and sloped walls. Physics of Fluids, vol. 12, pp. 425--431.
Cliffe, K.A., Spence, A. and Tavener, S.J. (2000) O(2)-symmetry breaking bifurcations: with application to flow past a sphere in a pipe. Int. J. Numer. Meth. Fluids, vol. 32, pp. 175--200.
Cao, W., Tavener, S.J. and Xie, S. (1999) Simulation of boundary condition influence in a second-order ferroelectric phase transition. J. Appl. Phys., vol. 86, pp. 5739--5746.
Blake, G., Mullin, T. and Tavener, S.J. (1999) The Freedericksz transition as a bifurcation problem. Dynamics and Stability of Systems , vol. 14, pp. 299--331.
Mullin, T., Tavener, S.J. and Cliffe, K.A. (1998) On the creation of stagnation points in a rotating flow. J. Fluids Engr., vol. 120, pp. 685--690.
Cliffe, K.A. and Tavener, S.J. (1998) Marangoni--B\'enard convection with a deformable free surface. J. Comp. Phys., vol. 145, pp. 193--227.
Tavener, S.J., Cliffe, K.A. and Wilke, H. (1998) Convective effects on a propagating reaction front. Phys. Fluids., vol. 10, pp. 730--741.
Talmage, G., Shuy, S.-H. Moeny, M.J., Tavener, S.J. and Cliffe, K.A. (1997) Inertial effects on electrically conducting fluids in the presence of transverse magnetic fields: an example problem. Int. J. Engr. Sci., vol. 36, 1--13.
Battaglia, F. Tavener, S.J., Kuhlkarni, A. K. and Merkle, C. L. (1997) Bifurcation of low Reynolds number flows in symmetric channels. AIAA J., vol. 35, pp. 99--105.
Aboufadel, E. and Tavener, S.J. (1996) Detecting a leak in an underground storage tank. Spring issue of the Newsletter for the Consortium for Ordinary Differential Equations Experiments (C-ODE-E).
Chen, J.-H., Pritchard, W.G. and Tavener, S.J. (1995) Bifurcation for flow past a cylinder between parallel planes. J. Fluid Mech., vol. 284, pp. 23--41.
Tavener, S.J. (1994) Stability of the O(2)-symmetric flow past a sphere in a pipe. Phys Fluids A, vol. 6, pp. 3884--3892.
Cliffe, K.A., Tavener, S.J., and Wheeler, A.A. (1992) An orthogonal mapping technique for the computation of a viscous free-surface flow. Int. J. Numer. Meth. Fluids, vol. 15, pp. 1243--1258.
Tavener, S.J. (1992) Symmetric and nonsymmetric equilibria of a rod-and-spring model. I.M.A. Journal of Applied Math., vol. 49, pp. 73--102.
Pritchard, W.G., Scott, L.R. and Tavener, S.J. (1992) Numerical and asymptotic methods for certain viscous free-surface flows. Phil. Trans. R. Soc. Lond. A, vol. 340, pp. 1--45.
Okamoto, H. and Tavener, S.J. (1991) Degenerate O(2)-equivariant bifurcation equations and their applications to the Taylor problem. Japan J. of Indust. Appl. Math., vol. 8, pp. 245--273.
Tavener, S.J. and Cliffe, K.A. (1991) Primary flow exchange mechanisms in the Taylor apparatus applying impermeable stress-free boundary conditions. I.M.A. Journal of Applied Math., vol. 46, pp. 165--199.
Tavener, S.J., Mullin, T. and Cliffe, K.A. (1991) Novel bifurcation phenomena in a rotating annulus. J. Fluid Mech., vol. 229, pp. 483--497.
Mullin, T., Tavener, S.J. and Cliffe, K.A.(1989) An experimental and numerical study of a codimension-2 bifurcation in a rotating annulus. Europhysics Letters, vol. 8, pp. 251--256.
Tavener, S.J. and Mullin, T. (1988) Buckling of coupled elastic rods. Physica D, vol. 30, 382--398.
Buchanan, P.R., Tavener, S.J., Withy, S.J. and Harris, E.A. (1986) Recovery of ventilation distributions by gas wash-out of a mechanical pump. Clinical Physics and Physiological Measurement, vol. 7, pp. 237--252.
Ryan, D.M. and Tavener, S.J. (1985) Bounds on smooth solutions of underdetermined linear models for gas exchange. Journal of Optimization and it Applications, vol. 47, pp. 349--368.
Tavener, S.J., Withy, S.J. and Harris, E.A. (1984) Response characteristics of a mass spectrometer. Medical and Biological Engineering and Computing, vol. 22, pp. 493.