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Catalin Trenchea - Publications

Affiliations: 
University of Pittsburgh, Pittsburgh, PA, United States 
Area:
Applied Mathematics
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37 high-probability publications. We are testing a new system for linking publications to authors. You can help! If you notice any inaccuracies, please sign in and mark papers as correct or incorrect matches. If you identify any major omissions or other inaccuracies in the publication list, please let us know.

Year Citation  Score
2020 Burkardt J, Trenchea C. Refactorization of the midpoint rule Applied Mathematics Letters. 107: 106438. DOI: 10.1016/J.Aml.2020.106438  0.328
2019 Ervin V, Kubacki M, Layton W, Moraiti M, Si Z, Trenchea C. Partitioned penalty methods for the transport equation in the evolutionary Stokes–Darcy‐transport problem Numerical Methods For Partial Differential Equations. 35: 349-374. DOI: 10.1002/Num.22303  0.347
2018 Li Y, Trenchea C. Partitioned second order method for magnetohydrodynamics in Elsässer variables Discrete and Continuous Dynamical Systems-Series B. 23: 2803-2823. DOI: 10.3934/Dcdsb.2018106  0.429
2018 Oyekole O, Trenchea C, Bukač M. A Second-Order in Time Approximation of Fluid-Structure Interaction Problem Siam Journal On Numerical Analysis. 56: 590-613. DOI: 10.1137/17M1140054  0.443
2018 Guzel A, Trenchea C. The Williams step increases the stability and accuracy of the hoRA time filter Applied Numerical Mathematics. 131: 158-173. DOI: 10.1016/J.Apnum.2018.05.003  0.348
2017 Moroşanu C, Pavăl S, Trenchea C. Analysis of stability and error estimates for three methods approximating a nonlinear reaction-diffusion equation Journal of Applied Analysis and Computation. 7: 1-19. DOI: 10.11948/2017001  0.334
2017 Diele F, Garvie MR, Trenchea C. Numerical analysis of a first-order in time implicit-symplectic scheme for predator–prey systems Computers & Mathematics With Applications. 74: 948-961. DOI: 10.1016/J.Camwa.2017.04.030  0.422
2016 Jiang N, Mohebujjaman M, Rebholz LG, Trenchea C. An optimally accurate discrete regularization for second order timestepping methods for Navier–Stokes equations Computer Methods in Applied Mechanics and Engineering. 310: 388-405. DOI: 10.1016/J.Cma.2016.07.017  0.452
2016 Layton W, Li Y, Trenchea C. Recent developments in IMEX methods with time filters for systems of evolution equations Journal of Computational and Applied Mathematics. 299: 50-67. DOI: 10.1016/J.Cam.2015.09.038  0.408
2015 Wilson N, Labovsky A, Trenchea C. High accuracy method for magnetohydrodynamics system in elsasser variables Computational Methods in Applied Mathematics. 15: 97-110. DOI: 10.1515/Cmam-2014-0023  0.406
2015 Bukac M, Layton W, Moraiti M, Tran H, Trenchea C. Analysis of partitioned methods for the Biot System Numerical Methods For Partial Differential Equations. 31: 1769-1813. DOI: 10.1002/Num.21968  0.416
2014 Galvin KJ, Rebholz LG, Trenchea C. Efficient, unconditionally stable, and optimally accurate FE algorithms for approximate deconvolution models Siam Journal On Numerical Analysis. 52: 678-707. DOI: 10.1137/120887412  0.402
2014 Garvie MR, Trenchea C. Identification of space-time distributed parameters in the Gierer-Meinhardt reaction-diffusion system Siam Journal On Applied Mathematics. 74: 147-166. DOI: 10.1137/120885784  0.372
2014 Layton W, Mays N, Neda M, Trenchea C. Numerical analysis of modular regularization methods for the BDF2 time discretization of the Navier-Stokes equations ∗ Mathematical Modelling and Numerical Analysis. 48: 765-793. DOI: 10.1051/M2An/2013120  0.432
2014 Li Y, Trenchea C. A higher-order Robert-Asselin type time filter Journal of Computational Physics. 259: 23-32. DOI: 10.1016/J.Jcp.2013.11.022  0.323
2014 Trenchea C. Unconditional stability of a partitioned IMEX method for magnetohydrodynamic flows Applied Mathematics Letters. 27: 97-100. DOI: 10.1016/J.Aml.2013.06.017  0.426
2014 Hurl N, Layton W, Li Y, Trenchea C. Stability analysis of the Crank–Nicolson-Leapfrog method with the Robert–Asselin–Williams time filter Bit Numerical Mathematics. 54: 1009-1021. DOI: 10.1007/S10543-014-0493-1  0.376
2014 Garvie MR, Trenchea C. A three level finite element approximation of a pattern formation model in developmental biology Numerische Mathematik. 127: 397-422. DOI: 10.1007/S00211-013-0591-Z  0.4
2014 Layton W, Tran H, Trenchea C. Numerical analysis of two partitioned methods for uncoupling evolutionary MHD flows Numerical Methods For Partial Differential Equations. 30: 1083-1102. DOI: 10.1002/Num.21857  0.44
2013 Layton W, Tran H, Trenchea C. Analysis of long time stability and errors of two partitioned methods for uncoupling evolutionary groundwater-surface water flows Siam Journal On Numerical Analysis. 51: 248-272. DOI: 10.1137/110834494  0.374
2012 Layton W, Trenchea C. Stability of two IMEX methods, CNLF and BDF2-AB2, for uncoupling systems of evolution equations Applied Numerical Mathematics. 62: 112-120. DOI: 10.1016/J.Apnum.2011.10.006  0.398
2012 Layton W, Rebholz LG, Trenchea C. Modular nonlinear filter stabilization of methods for higher reynolds numbers flow Journal of Mathematical Fluid Mechanics. 14: 325-354. DOI: 10.1007/S00021-011-0072-Z  0.366
2012 Bowers AL, Rebholz LG, Takhirov A, Trenchea C. Improved accuracy in regularization models of incompressible flow via adaptive nonlinear filtering International Journal For Numerical Methods in Fluids. 70: 805-828. DOI: 10.1002/Fld.2732  0.395
2011 Layton W, Stanculescu I, Trenchea C. Theory of the NS-ω̄ model: A complement to the NS-α model Communications On Pure and Applied Analysis. 10: 1763-1777. DOI: 10.3934/Cpaa.2011.10.1763  0.359
2011 Layton W, Trenchea C. The Das-Moser commutator closure for filtering through a boundary is well-posed Mathematical and Computer Modelling. 53: 566-573. DOI: 10.1016/J.Mcm.2010.09.004  0.374
2011 Labovsky A, Trenchea C. Large eddy simulation for turbulent magnetohydrodynamic flows Journal of Mathematical Analysis and Applications. 377: 516-533. DOI: 10.1016/J.Jmaa.2010.10.070  0.432
2010 Garvie MR, Trenchea C. Spatiotemporal dynamics of two generic predator-prey models Journal of Biological Dynamics. 4: 559-570. PMID 22881204 DOI: 10.1080/17513750903484321  0.372
2010 Labovsky A, Trenchea C. Approximate deconvolution models for magnetohydrodynamics Numerical Functional Analysis and Optimization. 31: 1362-1385. DOI: 10.1080/01630563.2010.528570  0.399
2010 Layton W, Sussman M, Trenchea C. Bounds on energy, magnetic helicity, and cross helicity dissipation rates of approximate deconvolution models of turbulence for MHD flows Numerical Functional Analysis and Optimization. 31: 577-595. DOI: 10.1080/01630563.2010.489249  0.325
2010 Gunzburger M, Lee E, Saka Y, Trenchea C, Wang X. Analysis of nonlinear spectral eddy-viscosity models of turbulence Journal of Scientific Computing. 45: 294-332. DOI: 10.1007/S10915-009-9335-8  0.392
2007 Garvie MR, Trenchea C. Optimal control of a nutrient-phytoplankton-zooplankton-fish system Siam Journal On Control and Optimization. 46: 775-791. DOI: 10.1137/050645415  0.408
2007 Gunzburger M, Trenchea C. Analysis of an optimal control problem for the three-dimensional coupled modified Navier-Stokes and Maxwell equations Journal of Mathematical Analysis and Applications. 333: 295-310. DOI: 10.1016/J.Jmaa.2006.10.053  0.397
2007 Garvie MR, Trenchea C. Finite element approximation of spatially extended predator-prey interactions with the Holling type II functional response Numerische Mathematik. 107: 641-667. DOI: 10.1007/S00211-007-0106-X  0.38
2005 Gunzburger M, Trenchea C. Optimal control of the time-periodic MHD equations Nonlinear Analysis, Theory, Methods and Applications. 63. DOI: 10.1016/J.Na.2005.02.041  0.397
2005 Gunzburger M, Trenchea C. Analysis and discretization of an optimal control problem for the time-periodic MHD equations Journal of Mathematical Analysis and Applications. 308: 440-466. DOI: 10.1016/J.Jmaa.2004.11.022  0.426
2003 Trenchea C. Periodic optimal control of the Boussinesq equation Nonlinear Analysis, Theory, Methods and Applications. 53: 81-96. DOI: 10.1016/S0362-546X(02)00296-1  0.383
1999 Trenchea C. Optimal control of the periodic string equation with internal control Journal of Optimization Theory and Applications. 101: 429-447. DOI: 10.1023/A:1021797712428  0.365
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