| Analysis of long time stability and errors of two partitioned methods for uncoupling evolutionary groundwater--surface water flows W Layton, H Tran, C Trenchea SIAM Journal on Numerical Analysis 51 (1), 248-272, 2013 | 137 | 2013 |
| Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations W Layton, C Trenchea Applied Numerical Mathematics 62 (2), 112-120, 2012 | 87 | 2012 |
| Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows W Layton, H Tran, C Trenchea Numerical Methods for Partial Differential Equations 30 (4), 1083-1102, 2014 | 68 | 2014 |
| Finite element approximation of spatially extended predator–prey interactions with the Holling type II functional response MR Garvie, C Trenchea Numerische Mathematik 107, 641-667, 2007 | 65 | 2007 |
| Optimal control of a nutrient-phytoplankton-zooplankton-fish system MR Garvie, C Trenchea SIAM journal on control and optimization 46 (3), 775-791, 2007 | 58 | 2007 |
| Modular nonlinear filter stabilization of methods for higher Reynolds numbers flow W Layton, LG Rebholz, C Trenchea Journal of Mathematical Fluid Mechanics 14 (2), 325-354, 2012 | 51 | 2012 |
| An efficient and robust numerical algorithm for estimating parameters in Turing systems MR Garvie, PK Maini, C Trenchea Journal of Computational Physics 229 (19), 7058-7071, 2010 | 48 | 2010 |
| Analysis and discretization of an optimal control problem for the time-periodic MHD equations M Gunzburger, C Trenchea Journal of mathematical analysis and applications 308 (2), 440-466, 2005 | 45 | 2005 |
| Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows C Trenchea Applied Mathematics Letters 27, 97-100, 2014 | 44 | 2014 |
| Spatiotemporal dynamics of two generic predator–prey models MR Garvie, C Trenchea Journal of Biological dynamics 4 (6), 559-570, 2010 | 44 | 2010 |
| A higher-order Robert–Asselin type time filter Y Li, C Trenchea Journal of Computational Physics 259, 23-32, 2014 | 41 | 2014 |
| Analysis of an optimal control problem for the three-dimensional coupled modified Navier–Stokes and Maxwell equations M Gunzburger, C Trenchea Journal of mathematical analysis and applications 333 (1), 295-310, 2007 | 41 | 2007 |
| Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations∗ W Layton, N Mays, M Neda, C Trenchea ESAIM: Mathematical Modelling and Numerical Analysis 48 (3), 765-793, 2014 | 38 | 2014 |
| Stability analysis of the Crank–Nicolson-Leapfrog method with the Robert–Asselin–Williams time filter N Hurl, W Layton, Y Li, C Trenchea BIT Numerical Mathematics 54 (4), 1009-1021, 2014 | 37 | 2014 |
| Stability of partitioned methods for magnetohydrodynamics flows at small magnetic Reynolds number W Layton, H Tran, C Trenchea Contemp. Math 586, 231-238, 2013 | 37 | 2013 |
| An optimally accurate discrete regularization for second order timestepping methods for Navier–Stokes equations N Jiang, M Mohebujjaman, LG Rebholz, C Trenchea Computer Methods in Applied Mechanics and Engineering 310, 388-405, 2016 | 35 | 2016 |
| Improved accuracy in regularization models of incompressible flow via adaptive nonlinear filtering AL Bowers, LG Rebholz, A Takhirov, C Trenchea International Journal for Numerical Methods in Fluids 70 (7), 805-828, 2012 | 34 | 2012 |
| Approximate deconvolution models for magnetohydrodynamics A Labovsky, C Trenchea Numerical functional analysis and optimization 31 (12), 1362-1385, 2010 | 32 | 2010 |
| Identification of Space-Time Distributed Parameters in the Gierer--Meinhardt Reaction-Diffusion System MR Garvie, C Trenchea SIAM Journal on Applied Mathematics 74 (1), 147-166, 2014 | 31 | 2014 |
| High accuracy method for magnetohydrodynamics system in Elsässer variables N Wilson, A Labovsky, C Trenchea Computational Methods in Applied Mathematics 15 (1), 97-110, 2015 | 29 | 2015 |
